Chapter 5 The Main 19 System of the Full Text of Quran

In this chapter, I will present the main 19 based system of the full text of Quran. This is my inference considering all the 19 based codings that I discovered and presented in this book. This is because the evidences I present in this chapter are based on a clear, universal, meaningful and a very strong rule with which we can easily screen all the possible coding trials.

The evidences of the main 19 based system presented in this chapter proves the intactness of the full text of Quran. By full text, I mean including all the words along with the current exact structure and order of the chapters and verses. Since the letters are not included in the main 19 based system, it is universal as it covers all the commonly used Hafs manuscripts (mushafs). The Hafs is the common mushaf, which represent the text of Quran, which is used by around 97% of Muslims (Saleem 2018). It can be easily accessed from very commonly used websites quran.com or tanzil.net. See Chapter 3 for the details of the text I used in this study.

The evidences of this chapter together makes the main 19 based system that prove the design over the full text of Quran up to the words level and thus suggest that the Quran manuscript, which I explained in detail in Chapter 3, is correct and unchanged as there is a clear miraculous design over it. If there is even a single word is wrong or my counting is wrong then all my evidences that includes the number of word would be invalid. Therefore, the main 19 system presents solid mathematical evidences that strongly support the hypothesis that the full text of Quran is unchanged.

In order not to make the book too long, I did not print out here all the big numbers of each evidence. However, you can easily run the codes I provided and regenerate them. Alternatively, you might access them and other related materials from the Github repository of this book at https://github.com/quran2019/Quran19.

Lastly, for the reference, to the best of my knowledge, all the evidences of the main 19 based system presented within this main chapter, Chapter 5, are first time presented to the literature in this book, and it has been hypothesized, tested and discovered by myself.

5.1 Rules and descriptions of the main 19 system evidences

In the subsections of this section, I will summarize the rules and patterns of the coding if the evidences of the main 19 system presented in the main chapter, Chapter 5.

5.1.1 Rules of all the evidences of this main chapter

Here I state the rules that have to be used in all the evidences within this chapter if applicable over the numbers to be tested.

  • All the rules, universal or general, must be meaningful. We should be able to find answers for what and why are we doing the operations performed. No redundant information can be added. Manipulation at any level, even a single letter, are not allowed at all for any reason. This is a universal rule.

  • The coding hypothesis must have meaningful support from the verses of Quran such that we can interpret the meaning of the verse, at least potentially, referring the coding we hypothesized. To clarify this rule, the reason I selected number 19 but no other number is that there is this independent verse in Quran: "74:30. Over it is Nineteen", which we interpret that Quran might have 19 based system design over its text that indicates the intactness of it. This is a universal rule. This rule is very important as it dramatically reduces the testable number of codings in it. This rule also voids the thoughtless counter arguments of the ignorant memorized critics such that "all books has some kind of patterns in it".

  • Concatenation is the main coding operation to code the representation numbers to be tested. The natural numbers of the full text of Quran is concatenated in natural order. For example, if we are using the numbers, the natural order starts from 1 to the maximum number, such as 1 to 114. The numbers of the text has also natural order, which is from chapters, verses, words and letters.

  • As there are three levels of the numbers that can be derived from the full text of Quran, which are total, chapter and verse levels as described in Chapter 4.1, all the evidences of this chapter must consider those three levels if relevant.

  • Since this chapter provides the the main 19 system of the text of Quran, the main 19 system should have been available ready to be discovered at all times since Quran first revealed in 632, which is for the last 1387 years. Although I used the common Hafs manuscript text that represents Quran, there are still various versions of Hafs manuscript considering various slight differences of the words while writing. Namely, they have the words but might have slight differences in letters while writing the same word. See the detailed on this matter in Chapter 3 and Chapter 4.1. Therefore, the main 19 system of the text of Quran can not include the letters information. However, it must provide evidences that proves the content of the full text of Quran. Therefore, the evidences of the main 19 system should incorporate information that verifies the current exact structure and content of the text of Quran. Therefore,the structure and words must be verified at all evidences of the the main 19 system. This means, at the total and also chapter level numbers of the text, the representation number of the evidences must include chapter, verse and words information together. However at the verse level numbers, as addition to previous rule, we they might also include only verse and words information. Because, then the chapter information also available in it implicitly as each verse index starts from 1 for each chapter.

  • Another universal rule is that any coding pattern is tested both of the text types of the text of Quran. This means, we need to test the numbers from all the 6348 verses and also from only numbered 6236 verses. See Chapter 4.1 for more details on this universal rule.

  • The coding operations we can try in Al-Fatiha are concatenation, sum or digit sum of the used numbers. Although, we always observe evidences in natural direction of the numbers, one can also search the reverse direction as we observe in Arabic writings while searching the Al-Fatiha based coding clues. This means, I will take those trials into consideration while calculating probability of the main 19 system of Quran to make sure it is free from any objections.

  • The coding patterns of this chapter: There are two main coding patterns of the main 19 system presented in this chapter considering the rules above. First and the main one is based on the first chapter of Quran, that is Al-Fatiha based coding pattern. With the Al-Fatiha based coding pattern, we search for 19 based codings over the first chapter of Quran, Al-Fatiha (The Opener), and test the found coding pattern over the full text of Quran with the hypothesis that God might have left those as clues for us to be able to discover the 19 based codings over the full text of Quran. See the following sub-section, Chapter 5.1.2, on why chapter Al-Fatiha is selected but no other chapters. The second coding pattern is the complementary coding evidences of the Al-Fatiha based codings. For each Al-Fatiha based coding, we will also test the even and odd coding pattern. See the sub-section Chapter 5.1.3 for more details on the even and odd coding pattern. Basically, the reason we test the even and odd coding pattern in all the evidences of the main 19 system, which are based on the chapter Al-Fatiha, is because there is this independent verse: "by the even and the odd", Quran, (89:3). I hypothesized that this verse is about numbers and thus should also be witnessed in the main 19 system of Quran, which is based on number 19.

In the above points, I described all the rules of the main 19 system of Quran in detail. Those are our criteria with which we can easily count all the possible 19 based trials and thus can measure the space of trials of all the test. This has vital importance to be able to accurately calculate the probability of what we observe. I follow scientific approach to be able to measure the probability the main 19 system I discovered and Present in this book. You might come across other earlier claims regarding the 19 based system over Quran but, to the best of my knowledge, none of them provide the possible number of trials of their claims. In fact, as far as I know, the system I discovered and present in this book is the first rule based 19 system in literature. Without a rule based claim, we cannot measure the boundaries of the proposed system and thus cannot measure if wht we observe is extraordinary or not.

In the following two sub-sections, I explain why Al-Fatihah and, the even and odd based codings used in the evidences of the main 19 system of the full text of Quran.

5.1.2 The evidences with chapter Al-Fatihah based coding patterns

The evidences within this main chapter, Chapter 5 that presents the main 19 system of Quran, incorporates 19 based coding evidences whose coding patterns are derived from the first chapter of Quran, Al-Fatihah (The Opener), which is very short chapter with 7 verses only. Since it is considered the most important chapter in Quran, it is memorized by all Muslims as it is deemed essential to recite it in all the obligated daily prayers. This means, it is a chapter memorized by heart by at least more than a billion people on earth today. There has been already 19 based coding claims on Al-Fatihah only, which can be easily found on YouTube. Having this in mind, I looked at this chapter with the similar patterns I have been testing in this book with the approaches I discovered while working on this book. My coding approaches can be summarized in short as the concatenation of the natural numbers of the text in the natural order. I realized that there are many independent 19 based codings available in Al-Fatihah. I then hypothesized that God might have left those special coding patterns of Al-Fatihah as clues, as the opener of the main 19 based system, to discover the 19 based design in the full text of Quran. My hypothesis mostly turned out to be true and I ended up discovering the evidences you will witness within the sections of this chapter, Chapter 5. All the evidences of the chapter together makes the main 19 system that I discovered and present in this book. In the following main chapters, I present other 19 based evidences but they are additional and secondary considering the main 19 system. These are my judgment considering all the potential evidences I witnessed. However, I also present the other evidences or even some potential evidences, which I call them as facts, in this book but in separate chapters than this one, in case others might observe a more subtle system that I might have not realized.

I already described the rules of how to obtain the codings to be tested of this chapter in Chapter 5.1.1. Briefly, the particular rule of this main chapter is that, regarding the rules, whatever the 19 based coding pattern we observe on the chapter Al-Fatiha of Quran, then we will test it over the full text of Quran as well as we hypothesize that they might be left as the clue for the main 19 system.

To calculate the probability of all the evidences of Al-Fatiha based coding patterns of Chapter 5 separately, I initialize the following special counters to count all the trials and successes to calculate the probability of both Al-Fatiha based evidences and also the overall system probability.

#Al-Fatiha coding counters initialized
alFatihah_tested_nums <- 0 
alFatihah_success_nums <- 0

#Global coding counters initialized
global_tested_nums <- 0
global_success_nums <- 0

5.1.3 The evidences with the Odd and the Even

In this section, I will explain explain why did I hypothesize the even and odd based codings. Among others, one of the universal rules were as follows:

The coding hypothesis must have meaningful support from the verses of Quran such that we can interpret the meaning of the verse, at least potentially, referring the coding we hypothesized. To clarify this rule, the reason I selected number 19 but no other number is that there is this verse in Quran: "74:30. Over it is Nineteen", which we interpret that Quran might have 19 based system over its text that shows the intactness of it.

In Quran, the chapter Al-Fajr, which is Chapter 89 and Verse 3, there is this clear verse that we might interpret, among others, that it might also refer to an even and odd based codings of the 19 based system of the text of Quran.

"by the even and the odd", Quran, (89:3).

Basically, the reason we test the even and odd coding pattern in all the evidences of the main 19 system, which are based on the chapter Al-Fatiha, is because there is the above independent verse. I hypothesized that this verse might be about numbers and thus should also be witnessed in the main 19 system of Quran, which is based on number 19.

It is also further interesting to see the concatenation of the indices of this verse, 89:3, 893 is also multiple of 19. This stands as a further sign that this verse well may refer to what I hypothesize in this book. Not to mention, there was already other even and odd based interesting coding proposals based on the chapter and verse indices at amazing19.com. A simple internet search brings many similar claims on that. However, the evidences you will witness in this book is different than all the others. Because, first, unlike all the others, I include also all the content information as described already in the rules of this chapter. So, the even and the odd based coding evidences you will witness in this book prove the intactness of the full text of Quran but not only the order of chapter and verse indices as others do. The second reason that the evidences I introduced are different than any other is that, I used the pairing coding pattern that I discovered myself and introduced first time into the literature in this book. Moreover, the evidences I present are bound by all the general rules I described in Chapter 5. Now, let's continue describing the even and odd coding pattern.

We cluster the text of Quran as even and odd with respect to the chapter indices. Namely, if a chapter had even index then it is an even chapter. For example, Chapter 2 is an even chapter. At the verse level of the text, we again cluster the verses with respect to their chapter indices. Namely, if a verse belong to an even chapter then it is clustered as in the even cluster.

After obtaining the even and the odd clusters, then we apply the pairing coding pattern that I first time introduced in this book. Basically, we start pairing the even and their corresponding odd numbers by concatenating each pair and then concatenate all the paired numbers again in the natural order. In verse level, one side might be shorter, then naturally, that side starts over from the beginning while pairing. The reason I used the pairing pattern is because the most suitable coding pattern we can test with these even and odd category is to pair them by applying the pairing coding pattern as we can observe all the numbers of each category in the constructed big representation number. Since the representation number is a big number, we can also witness a miraculous evidence.

In all the even and odd evidences at chapter level, there are 57 even and 57 odd chapters. Thus, we can pair only from even chapters to the odd chapters but not the other way around. Because, otherwise, the big number after concatenation of the numbers would be the same as the natural concatenation of all the numbers and considering the even and odd separation of the chapter would not bring any unique property into the big number.However, at the verse level the even and odd side has different length and thus we need to pair both from even to odd and also odd to even for any trial.

To calculate the probability of all the even and odd coding pattern based evidences separately, I initialize the following special counters.

#Even and odd coding counters initialized
evenodd_tested_nums <- 0 
evenodd_success_nums <- 0

5.2 Evidence to silence: Harmony among Chapters, Verses and Words

I rediscovered this evidence on February 10, 2020 and added into the e-book right away. I might have seen but have forgotten this evidence before when I first discovered the evidences in this book and published it in 2019. Because it is so evident and similar to my other evidences. I was so overwhelmed with many evidences while writing this book and probably forgot this one then. After the publication of my book, there were some critics on my book as it was mostly based on the evidences that includes the number of letters. I guess, it may seem too good to be true to them. Having this criticism in mind, I was looking at the table below, which shows each chapter and the number of verses, words and letters within each chapter.

x<- dfVCWL
knitr::kable(head(x), booktabs = TRUE,
  caption = 'Table head of the numbers at chapters in Quran.')
Table 5.1: Table head of the numbers at chapters in Quran.
Chapter_index Verse_sum cWords cLetters
1 7 29 143
2 287 6144 26268
3 201 3505 15004
4 177 3767 16351
5 121 2841 12225
6 166 3060 12745

The most important chapter in Quran can be considered as the first chapter, Al-Fatiha. This chapter is recited in every obligated daily prayers by all Muslims. Reciting Al-Fatiha in the daily prayer is considered a must by the Tradition. Therefore, all Muslims know and recites this first chapter of Quran every day. This chapter caught my eye as the digit sum of the chapter index (1), number of verses (7) and number of words (29) is exactly 19 (1+7+2+9 = 19). This woke me up. I then tested the traditional concatenation rule of this book by concatenating these numbers, as always, in the natural order from chapters towards words. Then I got 1729, and it is also divisible by 19. Because 1729/19 = 91.

As we witnessed, there are two simple 19 based coding design in the most important chapter, Al-Fatiha, of Quran.

Then, I learned the pattern! My hypothesis was simple. God might have left us this important pattern within the most important and most recited and also short chapter of Quran. Then the next step was to test this pattern in the whole Quran. For each of the 114 chapter, I first applied this pattern and obtained the representation number of each chapter. I then concatenate them from first chapter till 114. This concatenation approach is similar to what we observed in Evidence 6.6.1. Regarding the big number to be tested, since I inferred this pattern, specifically from the first chapter, Al-Fatiha, this evidence has its own rule and not necessarily have to fully align with the rest of the book.

See below for the proof of this evidence. I will print out this 800 digits length big number in the end of this chapter for your tests. This number includes all the verses, including the unnumbered Basmala verses of Quran.

require(gmp)
## Loading required package: gmp
## 
## Attaching package: 'gmp'
## The following objects are masked from 'package:base':
## 
##     %*%, apply, crossprod, matrix, tcrossprod
require(data.table)
tmp2 <- paste0(dfVCWL$Chapter_index,dfVCWL$Verse_sum,
          dfVCWL$cWords)

head(tmp2)
## [1] "1729"     "22876144" "32013505" "41773767" "51212841" "61663060"
tail(tmp2)
## [1] "109731" "110423" "111627" "112519" "113627" "114724"
tmp <- paste0(tmp2, collapse = "")

as.bigz(tmp) %% 19 #Test if remaining is 0
## Big Integer ('bigz') :
## [1] 0
cat("number of digits on this big number is", nchar(tmp))
## number of digits on this big number is 800

This evidence proves that chapters, verses and words of Quran was designed by the 19 based coding system of Quran, the main 19 system, from the beginning and unchanged since year 632 for the last 1387 years.

Let's add the number of successful evidences and the number of numbers to be tested regarding this evidence so that in the end of the book we can calculate the global probability using the counters. I could test this hypothesis also in the numbered verses as well and thus we have one out of two success in this case. We will add them into the counters.

#Two trials one successes
alFatihah_tested_nums <- alFatihah_tested_nums + 2 
alFatihah_success_nums <- alFatihah_success_nums +1

Here is the "800" digits length big number:

"17292287614432013505417737675121284161663060720733458761246912925051011018431112419501211217991344857145383415100661161291848171121562181111587199997520136135721113117822791283231191056246513232578900262281324279411632889144229709823061821313555432313763374130734558883546782368473437183869388973939761181408612304155798425486443908404460350453849246366494739546483056449193575046377516136452503165363364545634655793565697383573057958234795925451601435661152306212181631218564192466513293661325867313376853305695326470452217129231722929073212047457260754116876322477751185784117879471838043137813010882208583371738426112852311386186587207688279689311439021869116589222759312449493195938962076976349899899940100124410112401029321034181041037105627106521107829108414109731110423111627112519113627114724"

5.3 Evidence with the Odd and the Even chapters at the chapter level with the all the 6348 verses

As per the rule, for each Al-Fatiha based evidence we have to test the even an the odd coding pattern over the same numbers used in that evidence. This chapter provides the even and odd evidence as a compulsory follow up to the Evidence 5.2 considering all the 6348 verses. In the following, considering all the 6348 verses, we first cluster the even and odd chapters and pair them from even to odd and obtain a big number after concatenating them in the natural order. We witness that it is also multiple of 19 as we can witness in the following reproducible proof:

ev<- dfVCWL[(dfVCWL$Chapter_index%% 2 == 0), ]
cat("The number of even chapters is",nrow(ev))
## The number of even chapters is 57
od<- dfVCWL[(dfVCWL$Chapter_index%% 2 != 0), ]
cat("The number of even chapters is",nrow(od))
## The number of even chapters is 57
ev <- paste0(ev$Chapter_index,ev$Verse_sum,
               ev$cWords)
cat("The head of concatenated even chapters to be paired",head(ev))
## The head of concatenated even chapters to be paired 22876144 41773767 61663060 8761246 101101843 121121799
cat("The tail of concatenated even chapters to be paired",tail(ev))
## The tail of concatenated even chapters to be paired 1041037 106521 108414 110423 112519 114724
od <- paste0(od$Chapter_index,od$Verse_sum,
               od$cWords)
cat("The head of concatenated odd chapters to be paired",head(od))
## The head of concatenated odd chapters to be paired 1729 32013505 51212841 72073345 91292505 111241950
cat("The tail of concatenated odd chapters to be paired",tail(od))
## The tail of concatenated odd chapters to be paired 103418 105627 107829 109731 111627 113627
tmp <- paste0(ev, od) #pairing ev and od
cat("The head of paired even and odd chapters",head(tmp))
## The head of paired even and odd chapters 228761441729 4177376732013505 6166306051212841 876124672073345 10110184391292505 121121799111241950
cat("The tail of paired even and odd chapters",tail(tmp))
## The tail of paired even and odd chapters 1041037103418 106521105627 108414107829 110423109731 112519111627 114724113627
tmp <- paste0(tmp, collapse = '')
as.bigz(tmp) %% 19  #0
## Big Integer ('bigz') :
## [1] 0

Here is the 800 digits length big number:

"22876144172941773767320135056166306051212841876124672073345101101843912925051211217991112419501453834134485716129184815100661181111587171121562201361357199997522791283211131178246513232311910562622813242578900288914422794116330618212970982323137631355543455888337413073684734354678238897393718386940861230397611814254864415579844603504390840463664945384924830564473954650463774919357525031651613645456346536336456973835579356582347957305796014356592545162121816115230641924663121856613258651329368533056731337704522169532647229290712923174572607321204763224775411687841178775118580431377947183822085813010884261128337173861865852311388279687207690218689311439222759116589493193124496207695938989989763410012449994010293210112401041037103418106521105627108414107829110423109731112519111627114724113627"

One can just copy the big number and paste it into a web based big number calculator and test it herself.

We witnessed the pairing coding between even and odd chapters of Quran considering all the 6348 verses. As per the rule, we need to test the same coding pattern in the second category, in all the 6236 numbered verses, of the text of Quran too. As you will witness in the following section, the same coding pattern exist in the 6236 numbered verses as well! Therefore, I will add only one into the trials and successes counter. Remember, at the chapter level we can only pair in the direction from even to odd numbers.

evenodd_tested_nums <- evenodd_tested_nums + 1 
evenodd_success_nums <- evenodd_success_nums + 1

5.4 Evidence with the Odd and the Even chapters at the chapter level with the 6236 numbered verses

As per the rule, for each Al-Fatiha based evidence we have to test the even an the odd coding pattern over the same numbers used in that evidence. This chapter provides the even and odd evidence as a compulsory follow up to the Evidence 5.2 considering all the 6236 numbered verses. In the following, considering all the 6236 numbered verses, we first cluster the even and odd chapters and pair them from even to odd and obtain a big number after concatenating them in the natural order. We witness that it is also multiple of 19 as we can witness in the following reproducible proof:

ev<- dfVCwl[(dfVCwl$Chapter_index%% 2 == 0), ]
cat("The number of even chapters is",nrow(ev))
## The number of even chapters is 57
od<- dfVCwl[(dfVCwl$Chapter_index%% 2 != 0), ]
cat("The number of odd chapters is",nrow(od))
## The number of odd chapters is 57
ev <- paste0(ev$Chapter_index,ev$Verse_sum,
               ev$cwords)
cat("The head of concatenated even chapters to be paired",head(ev))
## The head of concatenated even chapters to be paired 22866140 41763763 61653056 8751242 101091839 121111795
cat("The tail of concatenated even chapters to be paired",tail(ev))
## The tail of concatenated even chapters to be paired 104933 106417 108310 110319 112415 114620
od <- paste0(od$Chapter_index,od$Verse_sum,
               od$cwords)
cat("The head of concatenated odd chapters to be paired",head(od))
## The head of concatenated odd chapters to be paired 1729 32003501 51202837 72063341 91292505 111231946
cat("The tail of concatenated odd chapters to be paired",tail(od))
## The tail of concatenated odd chapters to be paired 103314 105523 107725 109627 111523 113523
tmp <- paste0(ev, od) #pairing ev and od
cat("The head of paired even and odd chapters",head(tmp))
## The head of paired even and odd chapters 228661401729 4176376332003501 6165305651202837 875124272063341 10109183991292505 121111795111231946
cat("The tail of paired even and odd chapters",tail(tmp))
## The tail of paired even and odd chapters 104933103314 106417105523 108310107725 110319109627 112415111523 114620113523
tmp <- paste0(tmp, collapse = '')
as.bigz(tmp) %% 19  #0
## Big Integer ('bigz') :
## [1] 0

As we witnessed the 798 digits length big number is multiple of 19.

One can just copy the below printed big number of this evidence and paste it into a web based big number calculator and test it herself. For example, this one or another web application for any big numbers calculator such as this (“Good Calculators” 2019).

Here is the 798 digits length big number:

"228661401729417637633200350161653056512028378751242720633411010918399129250512111179511123194614528301343853161281844159965718110158317111155820135135319989712278127921112117424641319231181052262271320257789628881438279311593060817296997832303723134550345488433731303368373035457783888735371828654085122639751177425386041547944459346438983646356454537488482956047385425045373491835352493125160360545534253623605696379557835258224755729575601335259244476211177611422664182426311181661225465122896852301673033370442176952260722828671282277456256732020076312437540164784017477501818042133794617982198181291048425108833616986176185221098826928719729020828930139922171911554948279311409619729583498894975301001140998361028281011136104933103314106417105523108310107725110319109627112415111523114620113523"

We witnessed the pairing coding between even and odd chapters of Quran considering all the 6236 numbered verses. We already tested and observed success in the previous section for all the 6348 verses. Therefore, I will add only one into the trials and successes counters. Remember, at the chapter level we can only pair in the direction from even to odd numbers.

evenodd_tested_nums <- evenodd_tested_nums + 1 
evenodd_success_nums <- evenodd_success_nums + 1

5.5 Evidence to silence 2: Harmony among Chapters, Verses and Words

I had discovered Evidence 5.2 on February 10, 2020 and then added that into the e-book of this book. The rule of Evidence 5.2 was obtained from the most well known and recited chapter, Al-Fatiha, which therefore can arguably be considered as the most important chapter in Quran. It is also the first chapter and short enough to manually analyze. This chapter is recited in every obligated daily prayers by all Muslims. Therefore, all Muslims know and recite it. This verse has very explicit 19 based coding with the natural numbers of its text. The chapter index of it is 1, the number of verses of it is 7 and the number of words in it is 29. When we concatenate them in the natural order it makes 1729 and it is multiple of 19 as 19x91. In Evidence 5.2, I had applied the same pattern to the whole Quran and proved that the same pattern also exist in the whole Quran. The hypothesis was that the pattern in Al-Fatiha was a clue that lead us to the 19 based design over all Quran.

However, there is one more pattern in then same numbers of Al-Fatiha, which based on the digit sum of the same natural numbers as follows: 1+7+2+9 = 19. This is so obvious as the digit sum is exactly 19. So I set my next hypothesis similar to what I did in Evidence 5.2. I hypothesized that the same pattern exist in the whole Quran and God might have left this apparent coding pattern to us as a clue that can lead us to the 19 based design over all Quran. And, I discovered that this hypothesis is also correct and I discovered this Evidence 5.5. Along with Evidence 5.2, these two evidences prove that the two apparent clues of Al-Fatiha exist in the whole Quran. They are so clear and apparent that no one can argue on the 19 based designs of Evidence 5.5 and Evidence 5.2 considering the two clue evidences of Al-Fatiha. These evidences prove that the number of chapters, verses, words of Quran designed by the 19 based coding system of the text of Quran since the year 632. Since we witness that the coding still exist in the current version of Quran, then we can scientifically conclude that the Quran is intact and unchanged from the beginning till our current time. Moreover, the 19 based coding designs cannot be performed by people of that time and must have been done by a supernatural power that we Muslims consider as God. Also, since we did not use the number of letters, these evidences exist in all the text versions of Quran as in some versions some letters of some words might be written slightly different for the same word.

This evidence exist in the numbered verses of the text of Quran. This means out of the two clues, the first one valid in all the verses (6348 verses, including unnumbered Basmala verses) and the second clue valid in the numbered verses of Quran (6236 verses). This observation also supports the conclusion of this book, which suggests that both type of the text of Quran are under the 19 based coding system.

Let's again remember the table over which we will witness the evidence.

x<- dfVCwl
knitr::kable(head(x), booktabs = TRUE,
  caption = 'Table head of the numbers at chapters in Quran.')
Table 5.2: Table head of the numbers at chapters in Quran.
Chapter_index Verse_sum cwords cletters
1 7 29 143
2 286 6140 26249
3 200 3501 14985
4 176 3763 16332
5 120 2837 12206
6 165 3056 12726

Let me describe shortly how we obtain the number to be tested. For each of the 114 chapter, I first applied the digit sum pattern (as in Al-Fatiha 1+7+2+9=19) and obtained the representation number of each chapter. For example, the first chapter Al-Fatiha is represented by 19 as we compute the digits sum of the chapter index, the number of verses and the number of words as this 1+7+2+9=19. We perform the same process for all the 114 chapters and obtain the representation number of each chapter. We then concatenate them from first chapter till 114. This concatenation approach is similar to what we observed in Evidence 6.6.1. Regarding the big number to be tested, since I inferred this pattern, specifically from the first chapter, Al-Fatiha, this evidence has its own rule and not necessarily have to fully align with the rest of the book.

See below for the proof of this evidence. I will print out this 227 digits length big number in the end of this chapter for your tests. This number is based on all the numbered verses of Quran.

tmp <- paste0(dfVCwl$Chapter_index, dfVCwl$Verse_sum,
                dfVCwl$cwords)
cat("Head of the concatenated numbers per chapter:", head(tmp))
## Head of the concatenated numbers per chapter: 1729 22866140 32003501 41763763 51202837 61653056
cat("Tail of the concatenated numbers per chapter:", tail(tmp))
## Tail of the concatenated numbers per chapter: 109627 110319 111523 112415 113523 114620
#Get digit sum per chapter
tmp <- sapply(tmp, digitsum)
cat("Head of the digit sum of the concatenated numbers per chapter:", head(tmp))
## Head of the digit sum of the concatenated numbers per chapter: 19 29 14 37 28 32
cat("Tail of the digit sum of the concatenated numbers per chapter:", tail(tmp))
## Tail of the digit sum of the concatenated numbers per chapter: 25 15 13 14 15 14
tmp <- paste0(tmp, collapse = "")  
as.bigz(tmp) %% 19 #Test if remaining is 0
## Big Integer ('bigz') :
## [1] 0
cat("number of digits on this big number is", nchar(tmp))
## number of digits on this big number is 227

I could test this hypothesis also in all the 6348 verses as well and thus we have one out of two success in this evidence. However, there is also further similar coding in all the 6348 verses as presented in the following subsection as a fact in Fact 5.5.1.

Let's add the trials and successes into the special counters of the chapter Al-Fatihah based coding patterns as follows.

alFatihah_tested_nums <- alFatihah_tested_nums + 2 
alFatihah_success_nums <- alFatihah_success_nums +1

For the reference, to the best of my knowledge, Evidence 5.5 is first time presented to the literature in this book, and it has been hypothesized, tested and discovered by myself. In case if I find out Evidence 5.5 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book.

Here is the 227 digits length big number:

"19291437283226293332282827234235302844232038233044253742502521202336393040424028342841353933333433272126252835454033352022252127332625253025293514352726293143212529362827293435332125221830293424383571321122016192213251513141514"

5.5.1 Fact as addition to Evidence to silence 2: Harmony among Chapters, Verses and Words

In Evidence 5.5, I showed that the coding pattern of the first chapter of Quran Al-Fatiha also exist in the full text of Quran. The coding pattern of Al-Fatiha is based on digit sum of the chapter level numbers as 1+7+2+9=19. In Evidence 5.5, I extended this coding pattern to the full text of Quran using the default coding pattern, namely concatenation of the natural numbers in the natural order. We observed this coding pattern was successful in the numbered 6236 verses of Quran in Evidence 5.5. However, there is also the coding with the digit sum of the concatenated numbers exist if we look at the numbers of 6348 verses. I present this coding as a fact as follows:

tmp <- paste0(dfVCWL$Chapter_index, dfVCWL$Verse_sum,
              dfVCWL$cWords)
cat("Head of the concatenated numbers per chapter:", head(tmp))
## Head of the concatenated numbers per chapter: 1729 22876144 32013505 41773767 51212841 61663060
cat("Tail of the concatenated numbers per chapter:", tail(tmp))
## Tail of the concatenated numbers per chapter: 109731 110423 111627 112519 113627 114724
#Get digit sum per chapter
tmp <- sapply(tmp, digitsum)
cat("Head of the digit sum of the concatenated numbers per chapter:", head(tmp))
## Head of the digit sum of the concatenated numbers per chapter: 19 34 19 42 24 28
cat("Tail of the digit sum of the concatenated numbers per chapter:", tail(tmp))
## Tail of the digit sum of the concatenated numbers per chapter: 21 11 18 19 20 19
tmp <- paste0(tmp, collapse = "")  
tmpd<-digitsum(tmp)
tmpd %% 19 #Test if remaining is 0
## [1] 0
cat("The digits sum of this big number is", tmpd)
## The digits sum of this big number is 779
cat("number of digits on this big number is", nchar(tmp))
## number of digits on this big number is 227

Also, here is the "227" digits length big number:

"19341942242831343319243332282040263349282534282631303338372126252841353545473624393328223538383038322622303340413638312518212632293130303521253119313231343639262125322423343040292630272326343029433112917171621152718211118192019"

5.5.2 Fact

There is also an interesting relation between Evidence 5.2 and Evidence 5.5. As I mentioned before, these two evidences are based on the two clue evidence of Al-Fatiha and one of the same clue pattern exist in Evidence 5.2 over all the verses (6348 verses) and the second clue evidence of Al-Fatiha exist in Evidence 5.5 over all the numbered verses (6236 verses). As mentioned before, this suggests that both text types are under 19 based coding of the text of Quran. Here, in this fact, I will present an interesting relation between these two evidence, which suggests that they are also related regarding number 19.

The relation between the both numbers of the two evidences, Evidence 5.2 and Evidence 5.5, is as follows. The tested number of Evidence 5.2 is 800 digits in length. The tested number of Evidence 5.5 is 227 digits in length.

The fact is that, when we concatenate both of the digit lengths of these numbers, we get 800227. The digit sum of this number is exactly 19 as if they complement each other.

5.6 Evidence with the Odd and the Even chapters at the chapter level with digit sum

As per the rule, for each Al-Fatiha based evidence we have to test the even an the odd coding pattern over the same numbers used in that evidence. This chapter provides the even and odd evidence as a compulsory follow up to the Evidence 5.5 considering all the 6236 numbered verses. In the following, considering all the 6236 numbered verses, we first cluster the even and odd chapters and pair them from even to odd and then get the digit sum of each of these paired numbers. We then obtain a big number after concatenating those in the natural order. We witness that it is also multiple of 19 as we can witness in the following reproducible proof:

x<- dfVCwl[,c(1,2,3)]
ev<- x[(x$Chapter_index%% 2 == 0), ]
cat("The number of even chapters is",nrow(ev))
## The number of even chapters is 57
od<- x[(x$Chapter_index%% 2 != 0), ]
cat("The number of od chapters is",nrow(od))
## The number of od chapters is 57
# Get digit sum of each chapter level numbers both for even and odd
ev <- apply(ev,1,digitsum)
cat("The head of even chapters as digit sums: ",head(ev))
## The head of even chapters as digit sums:  29 37 32 29 32 28
cat("The tail of even chapters as digit sums: ",tail(ev))
## The tail of even chapters as digit sums:  20 19 13 15 14 14
od <- apply(od,1,digitsum)
cat("The head of odd chapters as digit sums: ",head(od))
## The head of odd chapters as digit sums:  19 14 28 26 33 28
cat("The tail of odd chapters as digit sums: ",tail(od))
## The tail of odd chapters as digit sums:  12 16 22 25 13 15
# Pair even and odd digit sum numbers
tmp <- paste0(ev,od)
cat("The paired head of the digit sums of even and odd chapters",head(tmp))
## The paired head of the digit sums of even and odd chapters 2919 3714 3228 2926 3233 2828
cat("The paired tail of the digit sums of even and odd chapters",tail(tmp))
## The paired tail of the digit sums of even and odd chapters 2012 1916 1322 1525 1413 1415
tmp <- paste0(tmp, collapse = '')
cat("The mod 19 is zero as follows: ")
## The mod 19 is zero as follows:
as.bigz(tmp) %% 19  #0
## Big Integer ('bigz') :
## [1] 0
cat("number of digits on this big number is", nchar(tmp))
## number of digits on this big number is 227

Here is the 227 digits length big number:

"29193714322829263233282823273542283023443820302325444237255020213623303942402840283435413339343327332621282545353340203525222721263325252530352935142627312921432925283629273534213322253018342938247352113201219161322152514131415"

One can just copy the big number and paste it into a web based big number calculator and test it herself.

We witnessed the pairing with digit sum between even and odd chapters of Quran considering all the 6236 numbered verses is under the main 19 system of Quran too. We need to test the same coding for all the 6348 verses as well. Therefore,we have two trials and one success in this evidence. Again remember, at the chapter level we can only pair in the direction from even to odd numbers.

evenodd_tested_nums <- evenodd_tested_nums + 2 
evenodd_success_nums <- evenodd_success_nums + 1

5.7 Evidence: Harmony among Chapters, Verses and Words at Verse level

In this evidence, we will witness that chapters, verses and words are in harmony at the verse level. We had already observed the 19 based harmony among chapters, verses and words In Evidence 5.2 at the chapter level. In this evidence, Evidence 5.7, we will again witness 19 based harmony among chapters, verses and words but at the verse level.

As you will recall, in Evidence 5.2, we had learned the rule to get the evidence number to be tested from the most well known chapter of Quran, Al-Fatiha. Again, we learn another rule to get the evidence number and use it in this current evidence, Evidence 5.7.

God know best but the observation suggest that, it looks God might have left this is as another apparent clue so that we can discover the 19 based design in the text of Quran easily.

Here is the fact that we observe a 19 based coding in the first and most well known and recited chapter of Quran, Al-Fatiha:

In the chapter Al-Fatiha, at the verse level, for each verse, we sum the chapter index, verse index and the number of words in that verse. Since there are 7 verses, I will present the calculation here and get the single number to be tested that represent Al-Fatiha.

Chapter index of Al-Fatiha is 1 as it is the first chapter of Quran. The first verse of it has 4 words. We get the representation number of the first verse as this: 1+1+4=6. If we perform this for all the 7 verses of Al-Fatiha, the we get the rest of the representation numbers of each verses as follows:

1 + 2 + 4 = 7

1 + 3 + 2 = 6

1 + 4 + 3 = 8

1 + 5 + 4 = 10

1 + 6 + 3 = 10

1 + 7 + 9 = 17

Now we have the representation number of each verse. Now, we concatenate them as the classical operation of this book. We get the following single number that represent the 19 based coding design in Al-Fatiha as : 6 7 6 8 10 10 17

6768101017

Now we witness, this number is under 19 based coding system as follows:

tmp <- "6768101017"
as.bigz(tmp) %% 19 #Test if the remaining is 0
## Big Integer ('bigz') :
## [1] 0
cat("number of digits on this number is", nchar(tmp))
## number of digits on this number is 10

As we witnessed there is apparent 19 based design on the text of Al-Fatiha. I have not seen this particular 19 based evidence on Al-Fatiha before anywhere else. Therefore, if it was not published anywhere else before, this should be cited as among the novel discoveries of this book.

There is also another interesting fact on it. The digit sum of the single big number, 6768101017, is 37. Also, when divided by 19 to test whether it is under the 19 based coding system, the quotient is 356215843. Interesting enough, the digit sum of this quotient is also 37. I recalled this number instantly because at the chapter level sums, Al-Fatiha has this number as follows: Al-Fatiha is chapter 1, has 7 verses and has 29 words. When summed this also gives 37. This did not seem to be a coincidence to me and I present here as an interesting fact.

Back to the main point, we just witnessed that there is 19 based design in the first and most well known and recited chapter of Quran, Al-Fatiha. The hypothesis I put forward is that the same design might be over all Quran and it might be left as a clue. This means, we infer the rule to get the number to be tested from this hypothesis. As you will witness in the current evidence, the same 19 based design of Al-Fatiha also exist over all the text of Quran as well.

Let me summarize the rule over all Quran accordingly. In this Evidence 5.7, we first sum the chapter index, the verse index and the number of words of each verse, which gives the representation number of each of the 6348 verses. We then concatenate each of those representation number and get the single representation number of all the 6348 verses of Quran. As we witness as follows, this number is also divisible by 19 and thus under the 19 based coding system of the text of Quran.

Let's first remember the head of the table we will utilize.

x<- unQuran
x$VerseI <- NULL
x$vletters<-NULL
knitr::kable(head(x), booktabs = TRUE,
  caption = 'Table head of the numbers of verses in Quran.')
Table 5.3: Table head of the numbers of verses in Quran.
chapter verse vwords text
1 1 4 بسم الله الرحمن الرحيم
1 2 4 الحمد لله رب العالمين
1 3 2 الرحمن الرحيم
1 4 3 مالك يوم الدين
1 5 4 إياك نعبد وإياك نستعين
1 6 3 اهدنا الصراط المستقيم

Since in this main chapter we are looking at the evidences without the number of letters, I presented the table accordingly. Here is the proof of Evidence 5.7.

x<- unQuran
tmp <- x$chapter + x$verse + x$vwords
cat("The head and tail of the numbers that represent each verse.")
## The head and tail of the numbers that represent each verse.
head(tmp)
## [1]  6  7  6  8 10 10
tail(tmp)
## [1] 119 118 119 122 124 123
tmp <- paste0(tmp, collapse = "")  
as.bigz(tmp) %% 19
## Big Integer ('bigz') :
## [1] 0
cat("Number of digits on this big number is", nchar(tmp))
## Number of digits on this big number is 15430

As we see, the remainder is zero and the big number is under the 19 based coding system of the text of Quran.

We could try this also in the numbered verses. I will also consider the two possible trials of the similar approach but with digit sum instead of the decimal sum we used in this coding. Because the numbers of the Al-Fatihah is single digit, that coding pattern could also be interpreted that way. Considering all, we have one out of 4 trials for this evidence to add to the counters so that in the end of the book we can calculate the global probability of the general system. Let's add the trials and successes into the special counters of the chapter Al-Fatihah based coding patterns as follows.

alFatihah_tested_nums <- alFatihah_tested_nums + 4 
alFatihah_success_nums <- alFatihah_success_nums +1

For the reference, to the best of my knowledge, Evidence 5.7 is first time presented to the literature in this book, and it has been hypothesized, tested and discovered by myself. In case if I find out Evidence 5.7 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book.

You can access this big number from the following link:

https://github.com/quran2019/Quran19/blob/master/5.14_Evidence.txt

One can just copy the big number and paste it into a web based big number calculator and test it herself.

Also, here is the 15430 digits length big number:

"6768101017641113181519212121242421343224293626404735474539616749435060484658495657505751566152525655566169696265626283726577807990123888079797789938989978486113961018891105105969411410113610111710011711912310512211310612311711211111212517811711913212712612814412913113114614612913213014413115313813614314514915814314714715014215116215115216915815015517215816519018017916215616916818317016016616916916816818418117317617317420919818019218718219419118920020518819223021819019819620020021823120525420721820521820021021821127122922621322621721223022322122022022622322923323426424623924327623624724826225124124024124123627027726227826729926128426327424825626924925127325526330229228031126728026330727830728228330332830128728827630529430329928328728729330230529332228929829429829629841331731431433775121725192256262529282445414230263948494236464243545158545948464744566375566260645854676956735697726275656389727168777089807299848984848582859210885114881071101109611792100116101107991001031071181101201081091091251141221181211181401211221261201221231361251501301321271371431521501441351371361401431461391431481461391401471501611541531471511671501581581741721701691611651591731951812321791961741681921811851781741921881782031871851921851901931921892011921982182132061942141992112132112112012042152062162112412062072222322148342235222547302528278610435314134414658413643817087444440574747635678617256605859576096625888807267647567677670808187929480828391889777759181869396991101001291181019610999117110111105108114121130127156113138132108128114113135128168127130124117125133132127126130150144139140132130144131132147147144146142171161155145167146149152177169161148157177181165163166160168162166167176163173194177181166195170177178179192192182184183182184184198229194203190194230930606940537331402422406250444439645353484145494643455649474462777252546554565864114736390817768104876579857397737286758592828081116829597104949495111103871059710610094104101113109105104981101051391111161101221231511211291121151211321161291331301631381351291791291391331411371661511341481361021222121234329272429274328443031403162394140414063435050445564515362695262666261595963706075676963847483748767838578968884808680988178978712111686103949097101102971111099910311198100102110112112141120148129118114119117149121125124118125119125126139136129139141131143132140134134155138147152144159159141143170143164147147157147160173163170167166178164172190190180166191163183199193176177169176198201184182183177177199192119222421241920242728343633262630393743523357424339536557525354656952615481856070586486796271676971777769989370789382877679808385888785821039410392115106105911009110110099102979913011711311713810910411211611412012111311411612613111812612013012412012112512412512313112613313413513113013013213214913913714915515115814716015115316415315417316915615616617219116617218916717717419616917417417620319320719717421018818619719019018419318921618719720519518619521319319521620119519719520221420323122322520920520621221522821221421721321722021623321922822412272717232425382328364143342835444632514037404253465347465654565953635665636263588285717166677292757168777979737675807510181829181100100958688103921259410010519254435403339333129333942343549445052454039526657534865676263565672638177766492657465676870737373757483748581757783879196838890879195931101051041059412996941019810811411799117111110113107111111116126124121133122119122123135134132128128129130127140140145134157137142145142142153158137181148153149151146151157151153141638424238303224343439494034644441574646537359774652645649566853536174636964686266636464757169658172727574858171827889891138277898510192103889311598100106999698104951001089911510710510111312711012710811612712611511411512912412412512712314112413214114113015222239233533494131343250424140436752415541404846454867596351735754635864596860776373777471817778797976818081738589838288100959793879586919599919698969110210111610310212210510212211110811913512311012111912412311611311811811912013612513012012612613313714013913213514113913315313613914514814113615016182031323343263535383532383544324848484165435855605749535160756362565875757661847372806468807375728492768080758576798882798892931031021071109797889697929812111310610412911110511310910911112012211112511211511711811312811811912515913412812112612812513313715014114617294140444339353627375934455439747258474047545144615559525071955885616774697260667073711831303337404632356057544343383437475447396980545351535954475666715663626577706663636966847372727269707579192224252727303032313234323538383837404543474944464749495553495356595456575657645961686267656472717070707675777779777980818181858394908689889092929197959497989910010110310110511410610911810910911011011111511311911911911920263626282929373335394343425142364044414644495249566364635366626071608380677266667563747277697181797379798180778480839488100959694979998971091061091091041001181211121091131211221041061141121211131171291221271401261291261271311221251251341311351321321461361351321441421521381431531541381491541471441471511571631541571522139312934393447364236365243385347475348494948655354535357595961577268636967627468687266827482837475729378868587869293971029194901009197102100108104103100103100104106105109108111107112112112116116113124120117119121136126126124141129139131137135129135131132142133131149149223035242839353632374436394251515369587551717348595167607675607764626565667164767367807271867776829594828381869292105958591909210191959591949710010498101108102107119108114108108135110112105129118119110123115113124132125133123131128123130134126133137133135132145152232126273737333941424241393839434547454750554656535263575958576157616270636768706768777673767876818278807879848383791068991919291101969396959897999910810211910810410410710410810711111011011011511111211811411712211711912412613124222727302938343633483641384545464251434548534749504951505452545556565962626481956370687275738878747976839283838285928786968796949798929410598117111107107105108115106104115118111109113114133122120121127120120117134120132145130132128128130129136132129133141141140140143147151146145150145145154156148161156153154159165158170169164166173166252934393540354238383942404441444449525346495650676155546463696561656566746666767175767883777988777878818479838390858788889090939295989796989610010110911110210911011311411111611511412111311313111712113012312112012712312713813012912813113213514113813313314014313914014326334637379741414346415848455359476177584847566755726463705976746366767285797371978073697781918381808081101919793908798889898101100981149810697100110111123124105108108111144272730313132393736373640424258434450545552594963735854826660606069816467637073676872717386767677757884868385828586878687939197100959598941019910311010410110510910711211110911311011311811511311711512511711813812112212312512812712613013913413113613313613713713614614114214214414614615015814828345245474047404342436348515355545049635380726057606670747069133731057110774807685978673105781008186838090938694101117889213210210716112511411029354650453943485043524446474753515864596565575756576064606565677266706970757171817784778486768386848483849391948696961019897100100941019510311510211110510610811210910611430283235414240444240444144474648494854525258565459565760636361646465676969676970737974767979757777968388868484848587878988959410293969510199991021031031031061061051091081091101111161151161161181171201211191201241261241241261291281291301301351371351351391371371461391421441461441461511481531511501551531521571551551641591591601601631621621671711681671751711701751731731821771761781801791811841841911901891861941901901941921922011952032021992001992012012052082062062092082082172132112182152162212222192252242222222232252242262322292312312342332332322352372392412392402422422482432472492472482482502532532532532582572723134323941424050494357495848525762536570595763616866616166656563727274707977768210580838299858687859084879085899398919198114109105110110106107103107105106105108110109112115108113113118122125121124120128132133127130135134131323034405145465749555549565852815754628067596178677965847184787985707678818395797878808785919493102901018588969498971101031071031069810910599101106110104113118121114110120133131134128124126136125130132129131135333141434346454858457046595359505873606168586865738167747181657577857571827383819789838083951009590929595100948997949310493101103105114108110101111114107343234414643474760715349475249545753566361716567757164758575827073817075818284919286868983869395106899990939710897106961079710035333737444455544748685661596275726665618173686962716779708577818595923634425360544449485556546061606259625863736267696668767667726737484742656668574964595058726161647465877671737473747573777680788591819893118938590827889858685889310514511911015698118103104103114112100107111104106111108109119112118123121385254694850565758725757736675696659697264768279756871737470749781101827783948193848894111899310498899110095959710339605660505554556861698075766761575787585960736271736884808073828881808489978398108959610410910540384042434449515457545962576166585866646764667465657070777378787479807985828282918584888692931079193939710199101989999999911010210610410511211111311111711411911411511711812112412512512713112812741404142444949495450546052545558605659636365666764666769717177747375758279797982818282838487869189899295939795979810098102102102105104107106109111110110111113113115115117118118119121121122122124126128128128129129130134133134134136137141140142142141167144145149148147149149150152154160156157157157158160161162163164166167168167169170171172173174175176176178178180182182183185187186188190189191193193193194195194197199205200201201203205207205206207211210211213212214215215215220219219223221223424346515251565561545855585859636266636264668376947295817976757581778188827980848490869196918990949393969496999898991001071091101101071081141111091091161161181191151181281241201221231221231241251261301341301304346517559678177817271595661597372687068799181967674777774877377868081869088113888798107969410210211198110100105106113106110110105109108113111110113110118111123129123118144120132129131444248575766567464616564676762717170736575917569718484801079681857989104988610087911039197105969599106100102106102102101981071191091111101131211141101251191261371201191191171181201311261241311501281321271471381361424543475152636356586466687263788176726468738083737691787883869088778792878897911021079196101115104981161011011231051101131074644455556666071696767726793869176708270848588948879808683878287809083869589918796929993106114104110117106103115121110474547525456555858626466667661676672707478727687817578757881828410093829090879391949092949310110197104104100112106107104104103109115112111114112123116119119117120117118129122122123124125129128127134132133134138141142138139138484648555355575962586060626464656669717270707272747473757681818282848187859389918995949090939296999810010099102102104110108107106494753545870635667657467717473717486767972838092908689828785888899899396899050485464796961677979807674726910680918174939280828885104839193969296101981085156676889555764616473698174741068770808094807977788888818587898610091969496901155254655571727563616583968070769492928574868382839111310210390131536674696266738464886910093839082818577545463606364686863696569696773758075767876778479807986878687898688908991101100101101959899991031085554555657596061636463676769727176747275757678838185838388898987898989929495979698991021021031031051031031071091131161101101111131171161191185654565858596063646565666971727380747877799279838382858589898989929192959596999699981011041051041071091101065757606062616263646768696970707174757775767879101818197899793991001168990939693969897989910010110310310410510610710711410811011211411211711611611611858596363656468697072697075727475747878828079838088888588908788939391979695100979610110010310610310310610611110811011111111111311559575960616364666770687171727476757677777980818285848588879489909110593989598971029910210110410410410610610510810811011211211811412011611611812012012012212012412412612712812813013113213513413713613960606161646465666970686971727374757779807981808284878688878788899093929494959698991021011021041061071121061091111121131121141141161171171201231261241221251271241261281321321311341341341351371361371391401411421431431481471471491491521521541521521561566167706997707579808310480919791871018787961161031009593110971231071086277838288817911210487851009395918384909392868813163711027675779010385999298878496859286958889989410110064110757611678858289901269211193657372737690998480848387908311166758573769086788893879467817777898287908890948568827776828286898210085918786978796938769108978997841039787819211010270827998918895851208710310195717780888184808288948883888988969496931011021001011029999102107110109107727375767675768679818382848587908795889490919794989799981031031031051101091081061081101111191121171191221221181211201271271231311257371737677788191828485878788898790959397949494941011059910010110110110310810810810911011011111111311711711611811711912212012312312312574757677857879798282849084869088889190939495949899971001031031031101081071071091091111121161141171191201221237586807993838292838787869290889494939495951059610710310810710811476868384838789888894959295999692969998101100101106111107108105112113777779818383878687919090899195999598971011717878787980818383868788899089919395939596989799100104104102105106105107162108110111112112118117116117117120122122123124124126128127128135132131132141798081838585858585879089919494939796979899981001011021051051051061071091101101131121141161181181191228088888686898990919593959399969997999810410311010610510910610911111311411711781808182838486878889909192929695969798991021021021031041061051111081121131141131131141161171171201211201231221261251251281271311291318281838584868887889091929494979796100102101102103102104108106106110109111113112112113114119119125130126134838283848586888890909494969696981011011031021021021041041071091111121101121131141131151171191191191201221281241261261261291348483858788888991929193949596969798101102103103104106108108109110110110111112113115116119117118123121121124123126858586878889909192939495969799999910110210410710510610811011110911311411886868788899295939695959597991001001021041061108786919192909496959496981021031051041031071071061051061091091121121151131151201171201211201231211258888899092929996969710098981021031051031041051071081111101111111188989899092939598102104109110101102102103104106105109109110110908992919695969898981021001011021031041041079192929394959610397100100100103106105106107107110109929393939597100101999910110310310410410510611111011111211311311511611611893919394961001019910310310210410410710611511511111211211311611612111811911912012212112194959696991011001021021011021041061051101081101161111151139594969798991001011021041051051061111121099696979999101100101104103104109107109109111111111114117117115979598101102102103103104106107108989999100101103104104105999899101105104110106107100102102102103106106106108108109112111113115117115115116120101103104106110107102111106104113119120114127103104104106106108111112113104103104105107108110111112116114116105103105108110110111112113112115114106105107108110112110113115107105109115108109110111112113113115115116109113112112113113110109112113117111112113115113117116116112112113115113114115117118119119114116119120115117119118118121116117116119121117118119121122123118119118119122124123"

One can just copy this big number and paste it into a web based big number calculator and test it herself.

5.8 Evidence with the Odd and the Even chapters at the Verse level

As per the rule, for each Al-Fatiha based evidence we have to test the even an the odd coding pattern over the same numbers used in that evidence. This chapter provides the even and odd evidence as a compulsory follow up to the Evidence 5.7 considering all the 6348 verses.

As per the rule, we separate all the verses into two categories as even and odd verses. If a verse has an odd chapter index then it is categorized as odd and otherwise as even. We then sum the chapter index, verse index and also the number of words of each verse and get their representation numbers. Since the operation is sum, the unnumbered verses has no effect at all in the representation numbers and thus we can use the special verse indexes while pairing. Then, we pair them from even to odd and concatenate all the verse level paired numbers and finally get the big representation number to be tested. As we will see in the following proof, this big number is multiple of 19. There is also and additional fact in this number. I said fact because in pairing I do not consider the reverse of the numbers as evidence since we are not attempting to rewrite the text. However, in this evidence the reverse of the pairing is also multiple of 19. This means, either we pair as usual or in the reverse order, both of the resulting big numbers are multiple of 19. This fact might suggest further assurance for the current evidence. Here is the proof:

x<- unQuran # all the 6348 verses are used
#Get even and odd chapter verses
ev <- x[(x$chapter %% 2 ==0),]
cat("The number of even verses is",nrow(ev))
## The number of even verses is 3262
od <- x[(x$chapter %% 2 !=0),]
cat("The number of odd verses is",nrow(od))
## The number of odd verses is 3086
x<- ev
ev <- x$chapter+ x$verse+x$vwords
cat("The head of even chapters to be paired as sum: ",head(ev))
## The head of even chapters to be paired as sum:  6 4 11 13 18 15
cat("The tail of even chapters to be paired as sum: ",tail(ev))
## The tail of even chapters to be paired as sum:  119 118 119 122 124 123
cat("The number of verse of even chapters: ",length(ev))
## The number of verse of even chapters:  3262
x<- od
od <- x$chapter+ x$verse+x$vwords
cat("The head of odd chapters to be paired as sum:",head(od))
## The head of odd chapters to be paired as sum: 6 7 6 8 10 10
cat("The tail of odd chapters to be paired as sum:",tail(od))
## The tail of odd chapters to be paired as sum: 117 118 119 121 122 123
cat("The number of verse of odd chapters:",length(od))
## The number of verse of odd chapters: 3086
tmp<-paste0(ev,od) #pairing of even and odd verses' sum
cat("The head of paired even and odd chapters",head(tmp))
## The head of paired even and odd chapters 66 47 116 138 1810 1510
cat("The tail of paired even and odd chapters",tail(tmp))
## The tail of paired even and odd chapters 119174 118192 119188 122178 124203 123187
# reverse of this numbers in tmpr
tmpr <- paste0(rev(tmp), collapse = '')
tmp <- paste0(tmp, collapse = '')
#Testing the big number with 19
as.bigz(tmp) %% 19  # Testing the paired big number
## Big Integer ('bigz') :
## [1] 0
#Testing the reverse of the big number with 19
as.bigz(tmpr) %% 19 # Testing the reverse paired big number  
## Big Integer ('bigz') :
## [1] 0

As an interesting fact, not only the big number itself but also the reverse of it (as shown with tmpr in the above code) are multiple of 19 of this big number.

We witnessed the pairing of verse sums between even and odd chapters of Quran considering all the 6348 verses is under the main 19 system of Quran too. We need to test the same coding for all the 6236 numbered verses as well. Also this is verse level operation and we could also pair from odd to even too. Therefore, we have 4 trials and one success in this evidence. Again remember, at the chapter level we can only pair in the direction from even to odd numbers.

evenodd_tested_nums <- evenodd_tested_nums + 4 
evenodd_success_nums <- evenodd_success_nums + 1

Also, here is the 15867 digits length big number:

"664711613818101510191721721521122417242521193422325624262925362926284024474535414742453039266139674849494342503660464842464358544951565857545059574851465647614452565263567555565662616069646958625465676269625683737256659777728062797590651236388898072797179687777897093898980897297998484868911384968410185888291851059210510896859411411488101107136110101110117961001171179211910012311610510112210711399106100123103117107112118111110112120125108178109117109119125132114127122126118128121144118129140131121131122146126146120129122132123130136144125131150153130138132136127143137145143149152158150143144147135147137150136142140151143162146151139152143169148158146150139155140172147158150165161190154180153179147162151156167169150168158183158170174160172166170169169169161168165168159184173181195173181176232173179174196209174198168180192192181187185182178194174191192189188200178205203188187192185230192218185190190198193196192200189200201218192231198205218254213207206218194205214218199200211210213218211211211271201229204226215213206226216217211212241230206223207221222220232220214226922330229602336923440264532467323931243402762423622247402486226250251442414424039241642415323653270482774126245278492674629943261452845626349274472484425662269772497225152273542556526354302562925828064311114267732806326390307812787730768282104283873036532879301852877328897276733057229486303752998528392287822878029381302116305822939532297289104298942949429895296111298103413873171053149731410633710089434104221013511322109251054710430982511028105271398611110411635110311224112334151411214612958112411153612143132811167012987133441304416340138571354712947179631295613978133611417213756166601515813459148571366011969622258248821802472196720642475276728673476367033802681268730923994378043825283339157884297437739755391658157865293539654996511069100521296111854101819685109609970117581106411186105791086211471121671306912771156771137713869132981089312870114781139313582128871687612779130801248311785125881338713285127821261031309415010314492139115140106132105130911441001319113210114710014799144102146971429917113016111715511314511716713814610914910415211217711616911416112014812115711317711418111616512616313116611816012616812016213016612416712017612116312517312419412517712318113116612619513317013417713517813117913019213019213218213218414918313918213718414918415519815122915819414720316019015119415323016410153211542217321169211562315643166291722719124166291722718943167281774417430196311694017431174621763920341193402074119740174632104318850186501974419055190641845119353189622166918752197622056619562186611955921359193631957021660201751956719769195632028421474203832317422387225672098320585206782129621588228842128021486217802139821781220782169723387219121228116224861910325944490359740101331023997331113110929993310339111429834100351024911044112501125214145120401483912952118661145711953117481496512167125621246311856125561197212563126811397713676129641399214165131741436513267140681347013473155731387314775152741448315974159851418114375170771438316487147911479615783147881609017387163911709516793166110178105164104172105190941901291809616694191101163981831081991141931171769917711716911117611019811320110718411118211118311617712617712419912119213312122271192712217123231352413425132381282312828129361304112743140341402814535134441574613732142511454014237142401534215853137461815314847153461495615154146561515915753151631535615652263226239632358358233854971417131663467327250924275417140684377677952794173557641754080487546101458148826791598163100511007395578654886310358926412559946810060105771463167338774274427138813077327824793479347639814980408134736485448941835782468846100539573975993778746955286649156954999569168965398539661917410263101691166410368102621226610563102641226411175108711196913565123811107212172119751247412385116811137111882118781198912089136113125821307712089126851261011339213710314088139931321151359814110013910613399153961369813910414595148100141108136991501151710729105411014011344127431103912735108361162712737126591153411445115541293912474124721255812747123401414712454132511414414161130551659185220503171329533584385266135673574386935723260386635704473327148194822482441256527432758305530603257314932533451326035753863386238563758407545754376476149844473467247804964496855805373497553725684599254765680578056755785647659796188688262796788659264937210371102701077011070977697758877967797799277987912180113811068110481129851118310594113901098610989111881209012292111921259111297115951179411897113981289911810011910112510315910113410512811412110612610912811812510913310913711015011014111114611518113311193011933119371194021463932313529603457395434434743363842343637364752544347383953694780475453534851495349594854654753565466537153565763596259656177577072666863636369696766628474736872687272726669827074758279832074267536722693287829862985378733863592399343974310242915194429036100409144974110246100441084910452103491005610363100641046310653105661096210860111711076011283112801126711672116661136612475120631177411972121771366912671126811247914173129791397913181137801357712984135801318313294142881331001319514996149942397219926982797371093710633109391094110442100421184112139112381093911343121451224710445106471145011255121461135611753129521226312757140591265812957126611275713161122621257012563134671316813570132671326814677136761357313276144781427615281138821437815380154781387914984154831478314479147106151891579116391154921579115210122963093359624952898399735993699321083710244119361083910442104511075110453108691075811175110511107111073115481115911251118671146011776122751176011977124641266213165256529663471396435764073356742803872387139864277407644824195449444824983528153864692499256105509567856191559054926410163916995659561916594659766100741046698661017610871102751077611978108831147710879108881357711078112781058112984118791198311083123901158511387124881328812590133901239313192128951239813097134961269813396137100133101135109132111145102152109241102211327114271113011629115381143412136113331134813136117411213813045123451214612042127511234312745138481305312947128491315013249135511415013854133521335414055143561395614059143622762276430813195316332703968377236753773368840784274427958764383449250835483558252855992498763867396588754968294669760986092609469105819864117671116310770107731056710868115721067110473115861187611176109771137511478133841228612083121851278212085120861178713486120871329314591130971321001289512895130981299413610113299129103133110141104141101140105140109143107147112151111146109145113150110145113145118154115156113148117161115156125153117154118159138165121158122170123169125164128166127173126166130261393313446131371363713397136411374113743136461464114158142481424514453146591464715061158771485829483547465650674555397243644863507043595276447446634766477653725185587964735971659765805773576956775781609164836081658065806781721016691709769937090758771987188819877988410177100849886114769883106869784100841108311184123931249110594108861089611196144101289834975210045100479440101479540103431154210243111631054810651108531125510954106501144931633453328039724160425740605066497043745770496958133487352105577162107537465807076598557976386617368105667861100618166866583658063907293728674947010179117778876928213210510280107831618212599114851108630872885329035844187429040854489429340984491419144984711446109481054911048110541065210752103581075610554106591055610857110601096311263115611086411364113651186712269125691216712469120701287313279133741277613079135791347513177337731964183438843864684458448845885458770874689598853955994501025893739660956110168995899681026510373103811036710674106711058110965108751097711085111751167111582116731168311881117971208912183119801208312495126100124951249012692129951289512910013094130891359713794135931351041399313710113710314610513911414210814411014610114411114611415110714835153331513715037155441534415255157541554715548164681595615961160591606216375162721626616765171611688116773175681716917062175711736717379182701778517677178811808517995181921843718448191471904218965186661946819057190491946419259192502015819572203612026119964200741996520187201762057120873206742067320974208752087321777213762118021878215852169122181222982199322511822493222852229022382225782248922685232862298523188231932341052331452331192321102351562379823911824110323910424010324211424211224810024310724711124910424710624811124810825010925311925311225311825312325812125739272603256306034504055515445554668576149695580557549765667586152578157578754586259806067735962617178736768798465808480717384827888798185807084768978978183839895108799578967810480109871058541914094419342102449049101498549885496509454986097521105410355107581036010656985910963105639965101661066711064104661136711869121711147111077120741337313175134751288212479126791367912582130811328212982131831358434873286349141894689439247954793609771955397499847100529849102541025710253105561046310761106711096511167110751107111164113751138511575115821177011873118811197012175121811228212284124911269212886128861288912983129861309313495133106134891349913690137931419714010814297142106141961671071449714510014936148341474214953149601505415244154491604815655157561575415760158611606016162162591636216458166631677316862167671696917066171681727617376174671757217667176381785217854180691824818250183561855718758186721885719057189731916619375193691936619459195691947219764199762058220079201752016820371205732077420570206742079721181210101211822137721283214942158121593215842208821994219111223892219322310443984689519175100599567958197771038140723871405942564361445949735172546857705468597962915781619666765874587766776474678764736677748665806581708670907788731137888788774987910780967994851028210282111829891110851008410588106861139210693110107110911059310993108971131011119911010111398110991189911199123991291101231021181061441041201051321121291111311134511143117471145111952114631156311756118581216412466125681257212763131781288112776427243644668517352805183567355766191547858785583588658905988637762876692638762886497669183102761079491729695101811157910476987511675101811017712381105881108211379107804784458447905286549156965591588958906294649366936696769461966799669872987099741007810772109761108711081107751087811475111781098110982116841161001189311982115901189012887124931209112294123901229212394124931251011261011309713410413010413010044112421064810757104571046610356109741156411261111651146411267123671166211971119711177012073117651187512991122751226912371124841258412980128107127961348113285133791348913810414198142861381001398713891491034791539754105589670956399561066710065102741066710271102741017398711077411986109761117911072113831218011492110901258611989126821378712085119881198811799118891209313196126891249013151150561286713268127891475513857136641426146644473456955815674667460106718769706780678072946780937986779178768870888281708584878589888694100889179968094869683908711582538766807490698362866695738984916487889669921009993938310690114821048111085117771065510354115551215611057485946604861556353645563576759676269587260716076627464726475657566766978718372817085708372837288748974897387758976898189819282948295849781968798859993102891029110389103951059410390103901079310992113961169911098110100111100113991171021161021191041181105710857107601066050624861546264637964696761686769796979708070767174747275697710675807691788179741019381928180978289889785931049983100911169389969092939696101939896108985297549865995510071101721037510363104611056510683107961078011470108761109411292114921128511774116861168311682118835991571135910260103619063131645466546763706068637164716872687463766975657669776977677973807581808275857684788576887787849479898090799186105879386988795899886978810290998910291101101104100104101104101106951069810599108991081031101081125611254118561145812058116591166011863120641206512065122661206912471124721267312780128741287813077131791329213579134831378313682139856185678970896989978970927591799280958395104968099919697999198871011011048710587104961071161091031101001069558935911063976312365107641086863697170102727669757077759072103748575997492789878878284809679858392808688958888858988989094871018810093659373917297739676959010099978496801018410083103871069010383103111106671068111177108771108911182111871119011388115906094608561696110864976489659766846910370976887698171927211073102747175777780798880817984818080828288849487888683888887898788889689949096939392101941029410095101961029899999910210210110710211010410910610710773112711067310976111771127811381112911148211484116851178711787120881238912687124901229512593127971249412694128941329413210113110513499134100134101135101137101136103137108139108140108141109142110143110143111148111147113147117149117149116152118152117154119152122152120156123156123621237712583758286888081797993112831048287928583100879387958691928390848890949394929386948895131956410511096751077610311610878107851088211489779077126799281111839383668775868587739176909090868978918895939987959498689782101771717679828082818683898582851008585859185878786909789879196949394879370978296799798989199889895100851011201028710510310510110595106721077310975110761107611375112761148611679118811188311982122848185808781908287839584888694879088918997909491989297929996989510396103971039810599110102109102108102106103108104110106111105119111112108117112119113122114122113118113121114120116127117127117123120131121125120741237512276126771258512578128791277913182129821318483908284838684908588868888918890909390949495949496989699969798100101103101103103103102110102108102107104107104109107109109111111112112116110114112117113119114120113122115123117761198611983119841208312287128891248812688126941269512992134958599859686928796889989989010191100921019310694111951079610897105991129911399781017810278104791078010581106831088311086111871098811389114901188987918693919591939295909694989697959994100961049810410210210310510510610410510310710716210710810611010511110611210911210911811211711211611511711311711512012012211712212012312112412012412312612112812512789128891358913290131921329314195809888102881048610986110891018910290102911039510493106951059310999109961109911097919992989210493103941109510696105103109971061001091001111001131031141061171051171068210781107831108510984938691889387948896901009110192999410394103971029710496104100107102106101115102115103111102112104112108113106116106116110121109118111119113119112120112122113121114121119951199412596130971269813499841008310185102871048810588105891069111192112911099397949595989610196102971029810310110310210410310610310710410810699108981089910910111010511010411011011110611210711310111510311610411910611711011810712310312110412110412410612310612610886111861128711388105891039210595108931109611095111951129511397112991151001141001071021051041091061151101098811388112891129011392113921119911296113961159711310011798116981161021131031141051151031171041181051191071191081151111171101191111181111181181219011789118921199112196122951239669879869881021010010101171027103510412104171072592199322935693269525972910028101249945994110142103301032610439104481054910642111361104611142112431135411351115581165411659118489446954796449656996310175100561026210260101641025810454106671056911056108731105611697111721156211375966596639789997299711016810077101701048910380104721099910784109891098411184111851118211485117921171081158598114998899107100110101110103961041171049210510010011610210110210710299103100106103106107106118108110108120109108112109111109113125115114117122115118115121116118120140102121111122106126104120113122119123120136114125127150104130103132104127105137107143108152110150111144112135116137114136116140106143105146107139108143110148112146110139113140115147108150109161110154111153112147113151113167115150115158116158110174109172112170113169117161112165112159113173115195114181116232119179120196116174117168116192119181121185118178119174118192119188122178124203123187"

One can just copy this big number and paste it into a web based big number calculator and test it herself.

Also, here is the reverse of the 15867 digits length big number:

"123187124203122178119188118192119174118178121185119181116192117168116174120196119179116232114181115195113173112159112165117161113169112170109172110174116158115158115150113167113151112147111153110154109161108150115147113140110139112146110148108143107139105146106143116140114136116137112135111144110150108152107143105137104127103132104130127150114125120136119123113122104120106126111122102121120140116118115121115118117122115114113125111109112109109108108120108110106118106107106103103100102991021071021011001161051001049210411710396101110100110991079988981141158511710811792114851118211185111841098410989107841099910472103801048910170100771016899719972978996639665113751156211172116971105610873110561056910667104541025810164102601026210056101759963965696449547944611848116591165411558113511135411243111421104611136106421054910448104391032610330101429941994510124100289729952593269356932292191072510417104121035102710117100101021098898698796695123961229112192119891189011711812111111811111811011911111710811510711910511910411810311710511510311410211398116981161001179711396115961139911292111921139011389112881128811311010910611510410910210510010710011499115971129511395112951119611093110951089210589103881058711386112861111261081231061241061211041211041231031181071171101191061161041151031131011121071111061101101101041101051091011089910898106991041081031071031061021041011039810397102961029610195989495939791109921129111189106881058810587104851028310184100134991269813097125961199411995114121113121112122112120113119111119109118110121106116106116108113104112102112103111102115101115102106100107961049710497102941039410392999110190100889687948893869184938510983110811078210711710611710511410611310311110010910010610010997105103106961109510394104939892999297919911096110991099310995105931069510491103901028910289101861108610988104881028098141951329313192132901358912889127891281251261211241231241201231211221201221171201201171151171131161151171121181121121091121091111061101051081061621071071071051031061041051051021031041021049810096999497959896969495909392959193919186898790118891148811387109861118311083108811068010579107781047810278101113991129910599108971079611195106941019310092101919890998996889287968699859585921349512994126881268812689124871288312284120831198611976119123117122115120113119114117113114112116110112112111111109109109107107104107104108102110102103102103103103101100101979899969896949695949494939090909188888888869085868484839082848382131821297913179127781288512577125761267512274123125120131121123120127117127117120116121114118113122113122114119113117112112108119111111105110106108104106103108102109102110102105991039810397103969895999697929892949197909189908894878886958487839082878185808481821228311981118791188611676114751127611376110751107310972107951061011051031058710512010285101951008898919998987997829670978793939496948791978986908787918585851008582858985868382818280767977171821016897949887959399889578918689909076907391858775866687938311183928112679907789778211485108781071161087610375107110966410513195889586949293939490948488839091929586938710087858387921048211283799381798880828683757712562123156123156123152120152122154119152117152118149116149117147117147113148111143111143110142110141109140108139108137108136103137101135101134101134100134991311051321011329412894126941249412797125931229512490126871238912088117871178711685114841148211291113811127811177109761067311271107731061071041091021101011071021029999989996102951019410094102921019393909689948896878887898888868387888494828880828180798480817988778075777471731027211071926981688770976910366846597648964976110861696085609411590113881119011187111821108910877111771068110667103111103831069010387100831018496809784100999590967697739172937393658810087101909488988589888888958086839279858096828478877898749275997485721037590707769757276701026971686364108651076312363975911058931069511010010910310711610496105871048710110198879991969799919680951049583928091799275897089978969897085678561821398313683137791349213579132771317813074128801287312772126711246912466120651226512064120631206011859116581165812056114541185611210811210311099108991089810595106101106101104100104101104911018910290998810286978998879586988793861057991809079898494778776887885768475858082758173806779697769776576697563766874687264716371606863705467546613164906310361102601135991578359821188311686116741168511792112921149411276110701088011496107831076510661105631047510372103711015510065995498529710898989610193969692939690938991116831001049985938897828980979281938174101817991788076106756977727574747671807079707969676961686967796464635462486150621066010760108571105710411810211910211699117100113100111981109911096116921139310990107901039410395105891039110389102931028599879881968497829582948192818976897589738774897489728872837083708572817183697866766575647564726274607660715872626959675767556353645563486146604859110571215611555103541065511777110851048111482106909383999392100966987889164898495738666836290698074876682538711583908696809479968891941008886858984877085828170887688917886779379678072946780678069707187601066674567455814569447346641426113664138571475512789132681286715056131511249012689131961209311889117991198811988120851378712682119891258611090114921218011383110721117910976119861077498711017310274102711066710274100651066799569563967010558975491531034791498713810013986138981421041418913879134851338113296134107127801288412984125711246912375122911227512965118731177012071117711196211967116671236411265114611116411274115561096610357104571044810742106441121301001301041341041309712610112510112493123941229212390122941209112493128871189011590119821189311610011684109821098111178114751087810775110811108710976107721007899749870987299669667946196769366936694649062895891589655915686549052844784458047791078211388110811057712381101751017511676987910481115951017296949176107831026691649762886387669262876377598858905886558358785478619155765673518352805173466843644272127761288113178127631257212568124661216411858117561156311463119521145111747111431134511113111212910513210412010614410211811012399129991239911199118981101011139911010111197113931089310991105107110931109210686113881068410585100911108298821118210285102799480967910774987887788873113778870907086658165807486667764736787647466775877587466766196578162915979546857705468517249734459436142564059387140721038197779581956710059917589519846104439322389221111223942198821984220932158121594215832147721282213101211812109721174207702067420573207712056820375201792018220076205641997219769194591956619469193751936619373191571895719072188581865718756185501834818269182541805217838178671767217667175761747617368172661716917067169621677316863167581666216459163621626016161160601585415756157551574815649160441545415260150531494214934147361481001499714510714496167106141971421081429714093141901379913689134106134951339313486130831298912986128861289212891126841248212281122751217012181119731187011882117751158511575113641137111175110671106511171109611066310756104531055710254102491025298471004998539771956097479347954392468941893491328634871358413183129821328213081125821367912679124791288213475131751337312074110771147112171118691136710466110641066710166996510563109639859106561036010758103551105497529860945496508854854910149904910244934294419140854187105801097810478967995951088398818378977689708485807981788884827173848065807984676878736171596267738060625954585787815752575861566749765575558049695761466845555154405534503060325627260257392581212531232531182531122531192501092481082481112471062491042471112431072481002421122421142401032391042411032391182379823515623211023311923314523410523193231882298523286226852248922578223822229022285224932251182199322298221812169121585218782118021376217772087320875209742067320674208732057120176201871996520074199642026120361195722015819250192591946419049190571946818666189651904219147184481843718192179951808517881176771778518270173791736717571170621716917568167731688117161167651626616272163751606216059159611595616468155481554715754152551534415544150371513715333148351511071461141441111461011441101421081391141461051371031371011399313510413593137941359713089130941291001289512995126921249012495126100124951208311980121831208911797118811168311673115821167111175110851097710875109651058110671106741036710381103731026599689958101689561966093731025894509559885389598746877085458458844884458646884383439641773177337513179134791357613074127791337313270128691206712469121691256712265118641136411361108631156311260109571105610859105541065610558107521035210754106481104911048105461094711444984191449140984293448940854290418735843290288530871108611485125991618210783102801321059282887611777101799470867493729072806383658665816610061786110566736886619763855776598070746510753716210557735213348695870497457704366496050574060427241803953326334493150114541065510953112511084810663105431114210243115401034795401014794451005210034972898144101111961089610886105941249112393111841108310084978410686988311476988610084101779884987788819871877190759370976991701016681728067806581658360916481607757695673578057976571657359796485587251765366476347744676445952704363506448724355396745565047464835582977148611584715059146531464514448142581424114146146431364113741137971363713337136461313313426139166130173126166127164128169125170123158122165121159138154118153117156125161115148117156113154115145118145113150110145113146109151111147112143107140109140105141101141104133110129103132991361011299413098128951289513210013097145911329312087134861178712086120851278212185120831228613384114781137510977111761187611586104731067111572108681056710773107701116311767986410581946992609860976094669682875496588673876392498559825283558354925083447643795874427842884073367537723668377039633295318131643062276227591435614056139551435414052133541335013851141491355013249131471285312948130451384312751123421274612045121451233813041121361174813133113361133412138114291153011627111271142211324110152109145102132111135109133101137100133961269813496130971239812895131921239313390125901328812488113871158512390110831198311879129841058111278110781357710888108791147710883119781077610275108711017698661046610074976694659165956195659169101639264905491558561956710550925692498646815383528249944495448241764477408642713972388038674273357640643571396634652965256213164126771246011975117761226011767114511185911248111731157111051110751105811169107531085110451107421043910436108441193710232108369935993997289824953596309322961521011579115492163911579115189147106144791478315483149841387915478153801437813882152811427614478132761357313676146771326813267135701316813467125631257012262131611275712661129571265814059127571226312952117531135612146112551145010647104451224712145113431093911238121391184110042104421094110939106331093797379827992697219423961499514910013188133941428313280131841357712980135811377913179139731297914181124711266912677136721217411963117751206612466113721166711680112831126011271107601116210866109531056310664104631005610349100521034910444108461004110244974091361004290519442914310243973993359233863787298529862878269336722675207479837582707469827266727272687368847466626967636963636668707277576561625963595657715366535654475354655948534951495348545380476947395347385443475237363436384243364347543457396034352932314639402137119331193011931119181131461151411111501101371101331091251091281181261091211061281141341051591011251031191011181001289911398118971179411595112971259111192122921209011188109891098611390105941118312985104811068111381121809879927797799677887797759776110701077010270103719372926488657967826288687961765985647557805680577656925484597256755373498053685564498049724773468444614976477543754558405637623863387538603551325334493257316032553058304327652741254824482248193271447335703866326035723869357435672661438533583295317120501852165913055141611414413251124541414712340127471255812472124741293911554114451153412659127371162710836127351103912743113441014010541107291151799150108136100141951481041459813996136991531061331001399814111513593132881391031409213710113385126891267712082130113125891368912078119821187111881113851167412375124721197212181110651236913571119751086411164122631026610562122681026410369116631017410261915396539868965691499956956491528646957787599373975395461004688578241834489648534734081498039813476347924793278307738814271427438771673146310577100609468125599264103588863865495571007310051816391598267814810145754680487540764173557941795277676843714075419242725067326634713171418549823358356323623963226522561563153531515915756151541465615146149471535314846181531374215840153371424014251145321424613744157351342814534140431404112736130281292312838128251322413423135171232712227119121221921331991211771241771261831161821111841112011071981131761101691111771171769919311719911418310816398191101166941809619012919094172105164104178105166110167931709516391173871609014788157831479614791164871438317077143751418115985159741448315274147751387315573134731347014068132671436513174141651399212964136761397712681125631197212556118561246312562121671496511748119531145711866129521483912040141451125211250110441024910035983411142103399933109291113197331023910133974090359444103258619116224121228872199723378216812209821780213862178021484212882289621578212852068320567209872257422383231742038421463202691956719775195602017021663195591935921361195621866619562205521976918762216531895119364184551904419050197501864318863210401744119740207411933920362176311744017431169301964417428177431672718929172241662719129172431662315621156211692217321154101532301641941531901512031601941472291581981511841551841491821371831391841491821321921321921301791301781311771351701341951331661261811311771231941251731241631251761211671201661241621301681201601261661181631311651261811161771141571131481211611201691141771161521121491041461091671381451171551131611171711301429914697144102147991471001321011319114410013091132105140106139115144921501031309412610312782132851338712588117851248313080127791687612887135821139311478128701089313298138691137715677127711306912167114711086210579111861106411758997010960968510181118541296110052110699965965493538652815791657553773997438842915783338252804394379239873081268026703376366734672875276424672072198024882158246222969601157136591485813460151561667213761141781335613963129471794712957135401384416344130871337012981116431323612141115581124612941121341514112331122351101041168611127139281052511030984710425105221093511322101341048943371003141063149731710541387298103296111298952949429894289104322972939530582302116293812878028782283922998530375294863057227673288972877330185328793036528387282104307682787730781263902806326773311114280642925830256263542556527354251522497226977256622484427447263492845626145299432674627849262452774127048236532415324164240392414425144262502486224740236222762424340239312467326453234402336922960223302269220214220232221222223207230206212241217211226216213206226215229204271201211211218211210213200211218199205214218194207206254213205218231198218192200201200189196192198193190190218185230192192185188187205203200178189188191192194174182178187185192181180192198168209174174196173179176232173181181195184173168159168165169161169169166170160172170174183158168158169150156167162151179147180153190154165161158150172147155140150139158146169148152143151139162146151143142140150136147137147135143144158150149152145143143137136127138132153130131150144125130136132123129122146120146126131122131121129140144118128121126118127122132114119125117109178109125108112120111110112118117107123103106100113991221071051011231161191001179210011711796101110136110101107114889411496851051081059291858882101859684113848689848497998972898093898970777779687971807288891236390657975806277726597725683736256626965676254695869646160566255565675526352566144564751465748505957545658495158544643484260465036434249496748613939264530474235414745402426283629292524263256342221192425241721122152171917151018101381164766"

One can just copy this big number and paste it into a web based big number calculator and test it herself.

5.8.1 Fact with the Odd and the Even chapters at the Verse level

The fact in this section shows that the similar paired coding pattern exist at the verse level numbers as well considering all the 6348 verses, when general verse indexes are used instead of the special verse indexes. Because the unit operation is concatenation per verse instead of sum, the pairing coding pattern always use the general verse indexes in place of the special verse indexes to make sure the corresponding verse indexes between numbered and unnumbered verse indexes are available in the numbers.

Similar to the previous coding pattern, we separate all the verses into two categories as even and odd verses. If a verse has an odd chapter index then it is categorized as odd and otherwise as even. Following the previous coding pattern, we pair from even to odd numbers. Another additional general rule while pairing numbers at the verse level is to consider the unnumbered verse indexes. As a rule, used in Evidence 7.3.3, while pairing at verse level, we replace the special verse indexes with the general verse indexes. We perform the same process in this evidence while pairing even and odd numbers and getting the big number. Basically, we first concatenate chapter index, general verse index and the number of words in that verse. We do this for each even and odd numbers. Then, we pair them both from even to odd and also odd to even. Because, both direction provide a unique contribution of pairing as the number of even and odd verses with respect to chapters vary. As we will see in the following proof, the big number is multiple of 19. There is also and additional fact in this number. I said fact because in pairing I do not consider the reverse of the numbers as evidence since we are not attempting to rewrite the text. However, in this evidence the reverse of the pairing is also multiple of 19. This means, either we pair as usual or in the reverse order, both of the resulting big numbers are multiple of 19. This fact suggests further assurance for the current evidence. Here is the proof:

x<- unQuran # all the 6348 verses are used
#Get even and odd chapter verses
ev <- x[(x$chapter %% 2 ==0),]
cat("The number of even verses is",nrow(ev))
## The number of even verses is 3262
od <- x[(x$chapter %% 2 !=0),]
cat("The number of odd verses is",nrow(od))
## The number of odd verses is 3086
x<- ev
ev <- paste0(x$chapter, x$VerseI,x$vwords)
cat("The head of even concatenated chapters to be paired",head(ev))
## The head of even concatenated chapters to be paired 284 291 2107 2118 21212 2138
cat("The tail of even concatenated chapters to be paired",tail(ev))
## The tail of even concatenated chapters to be paired 11463434 11463442 11463452 11463464 11463475 11463483
cat("The number of even verses",length(ev))
## The number of even verses 3262
x<- od
od <- paste0(x$chapter, x$VerseI,x$vwords)
cat("The head of odd concatenated chapters to be paired",head(od))
## The head of odd concatenated chapters to be paired 114 124 132 143 154 163
cat("The tail of odd concatenated chapters to be paired",tail(od))
## The tail of odd concatenated chapters to be paired 11363364 11363374 11363384 11363395 11363405 11363415
cat("The number of odd verses",length(od))
## The number of odd verses 3086
tmp<-paste0(od,ev) #pairing of and even verses
cat("The head of paired even and odd chapters",head(tmp))
## The head of paired even and odd chapters 114284 124291 1322107 1432118 15421212 1632138
cat("The tail of paired even and odd chapters",tail(tmp))
## The tail of paired even and odd chapters 3458811463434 34592511463442 34602011463452 3461911463464 34623311463475 34631611463483
tmpr <- paste0(rev(tmp), collapse = '')
tmpr <- paste0(tmpr, collapse = '')
tmp <- paste0(tmp, collapse = '')
as.bigz(tmp) %% 19  # Testing the paired big number
## Big Integer ('bigz') :
## [1] 0
as.bigz(tmpr) %% 19 # Testing the reverse paired big number 
## Big Integer ('bigz') :
## [1] 0
cat("Number of digits in these big numbers is ",nchar(tmp))
## Number of digits in these big numbers is  46410

As an interesting fact, not only the big number itself but also the reverse of it (as shown with tmpr in the above code) are multiple of 19 of this big number.

5.9 Evidence: Harmony between Verses and Words

In this evidence, we observe the following 19 based coding in Al-Fatiha, which suggests a design between its verse indices and number of words. As per the rules of the main chapter of the main 19 system, we should also test the codings between verse and words at verse level since it implicitly incorporates the chapter information as well.

Verse index of Al-Fatiha is 1 as it is the first chapter of Quran. The first verse of it has 4 words. We get the representation number of the first verse by concatenating verse 1 and number of words 4 as this: 14. We apply this to all the 7 verses of Al-Fatiha and concatenate them then we obtain this long number: 14243243546379. The digit sum of this number is 57, which is 19x3.

Let's run this operation by R code as follows:

x<- nQuran
x<- x[x$chapter==1,]
tmp2 <- paste0(x$verse, x$vwords)
tmp <- paste0(tmp2, collapse = "")
tmp
## [1] "14243243546379"
digitsum(tmp) %% 19 #Test if the remaining is 0
## [1] 0

As we observed there is apparent 19 based coding on the text of Al-Fatihah. I have not seen this particular 19 based evidence on Al-Fatiha before anywhere else. Therefore, if it was not published anywhere else before, this should also be cited in among the discoveries of this book.

Now the hypothesis is again, this might be left as a clue and it might be available in the whole text of Quran. As I prove in the following, it really is.

Here is the head of the numbers table we will use. It contains the verse level natural numbers of the numbered verses of Quran.

x<- nQuran
x$text <- NULL
x$VerseI <- NULL
knitr::kable(head(x), booktabs = TRUE,
  caption = 'Table head of the numbered verses of Quran.')
Table 5.4: Table head of the numbered verses of Quran.
chapter verse vwords vletters
1 1 4 19
1 2 4 18
1 3 2 12
1 4 3 12
1 5 4 19
1 6 3 19

We will concatenate all the verse indices of the 6236 numbered verses and number of words of each verse by following the rule we observed from Al-Fatiha. Then, as we see the resulting big number has 19 based coding of the text of Quran as the digit sum of it is divisible by 19 just like we observed in the coding example of Al-Fatiha above. Here is the proof as follows.

x<- nQuran
tmp2 <- paste0(x$verse, x$vwords)
cat("The head of each verse and words as concatenated: ",head(tmp2))
## The head of each verse and words as concatenated:  14 24 32 43 54 63
cat("The tail of each verse and words as concatenated:",tail(tmp2))
## The tail of each verse and words as concatenated: 14 22 32 44 55 63
tmp <- paste0( tmp2, collapse = "")

digitsum(tmp) %% 19 #Test if remaining is 0
## [1] 0
cat("number of digits on this big number is", nchar(tmp))
## number of digits on this big number is 22051
tmpd <- digitsum(tmp)
cat("the digit sum of the big number is ", tmpd, " and it is also divisible by 19*19 ! as follows:")
## the digit sum of the big number is  81947  and it is also divisible by 19*19 ! as follows:
tmpd/(19*19) 
## [1] 227

As we observed the digit sum of all the verse indices and their corresponding number of words is not only divisible by 19 but also divisible by 19x19! We observed a double of 19 division.

Along with all the others, these evidences might suggest that the number of verses and words of Quran designed by the 19 based coding system of the text of Quran since the year 632. Since we observe that the coding still exist in the current version of Quran, then we can conclude that the Quran is intact and unchanged from the beginning till our current time. Also, since we did not use the number of letters, these evidences exist in all the text versions of the Hafs mushafs of Quran because in some print versions, some letters of some words might be written slightly differently.

This evidence exist in the 6236 numbered verses of the text of Quran. I could test this hypothesis also in all the 6348 verses as well and thus we have one out of two success in this case. We also have to test two even and odd codings, which are not successful but we need to add them into the counters for probability calculation. Since the operation is digit sum, there is no point to test both directions of the pairings of both would be a success if one is success. Therefore, we add two trials and no success into the counters for them.

Let's add the number of successful evidences and the number of numbers to be tested regarding this evidence in the counters.

alFatihah_tested_nums <- alFatihah_tested_nums + 2 
alFatihah_success_nums <- alFatihah_success_nums +1

For the reference, to the best of my knowledge, Evidence 5.9 is first time presented to the literature in this book, and it has been hypothesized, tested and discovered by myself. In case if I find out Fact 5.9 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book.

Here is the link to access the 22051 digits length big number: https://github.com/quran2019/Quran19/blob/master/5.16_Evidence_bignumber.txt

Also, below is the 22051 digits length big number. Recall that the digit sum of this number is multiple of 19 but not itself.

"1424324354637911273841258611712811910101211111271319141615716111717186191920252112222323202413253426392720281329193028311532123323341335193619371138173910401441184284374410458468471248194918501051125285375427551556757185820591860286160622463156413651266967206823691870177124721073117437751976237797811792480238113821083298415854986138728881089269027913092119327941795996259718981299101001010122102741031210413105251061910717108181093311017111181121711331114301151211614117111182411910120311211512212123181241912522126301271412817129161301813191321713327134151351513631137191381013914140301411514221143451443414532146141477148191491715031151171526153111541315512156101579158241592016011161131629163916443165311661216723168171691117022171181721517325174291751117614177511783817991801618113182161831518432185441861718765188171892719013191251926193151942219514196731973019826199122002420114202820325204172051420612207112081620912210172112021220213492143021522216252175721816219262202622139222272231622414225142261322772284022946230302314523233233642342523547236252373523882391524027241624272432824492451624654247432483024960250152512725292535225422255502562425724258432596726039261242622426311264392652726635267302681326916270152712027228273302741727545276112771927814279172801428115282129283322842828527286491127311418511613746815913101611141291329142415241611176181819262026211822112320241525152625272128272922302631143211331134735183624373538153920401741204213438442045214674723485494550195185220539546553156135711587591560761256215636643265166620671468136913709711172177332748753676977277829792880138133827831484298513861887988989119014912492159324941195119610972598139920100151011710213103341041410514106171071010811109111102311111112351131411415115911618117231183111928120211211112212123101241312515126171279128121291613013131513251331113413135231361513713138613991402414161421314312144271452414621147191481014913150615119152401532515475155211563715714158715930160181612116213163816425165201669167331681616913170191711117215173171741517511176221771217817179361803018122182918328184121852318624187211882018991901119121192111932019414195431967197719821199302001112921632841451663771981391510131171128813181413152216141720182419352017211122172354244225582614271328829243013311232273319344035223632371538183915401541124214434944144594638472948204914501051205211531054185511562057205825592960306115621663166423651966276766836918707711172177319742175317620774878367918801281248213833084228522861587178822892890369132926093169440953396897279812991010031101231026210320104221051510671071410821109191101311111112141133311426115201162011711118811921120712171222112320124161251712612127401282912922130111313213210133121341413538136291372013861391414033141361421914316144181451114618147111481414914150221518152171533715419155221566157341588159141601416114162261632516414165151661316711168121691117024171541721817326174121751517650124253361431543662719827910107112412451332142515241618174218301929202321152218232124172513261427242816291330931263240333434133514362437123813391440194168422643154441453146264716485149335010512352285315543855135611572458125921602761166213631364476512662467256831692070197119723473257487525761677247817791080198115822683218416851486787188812894590169120921393249424955196209727989991110016101261029103211042410520106521072610822109151106411113112221131511422115171164511729118111192412011114214312411512631716813991013111012251391424159169171718719372013211422122312241025322611271728162993019312732133314342235283610371938223917401541124211431444204594623471448154985028511752255315542755656215722581459316022611762126317641065276696756823691270457139728732474147597615771878187912802581228211831484218578688798816891790169144922293499429951796129716981399441001510118102161039104151058106131071310825109211101311122112231131211423115111161811711118101193012012121201222412315124291252812691271012836129813028131101329133181347135191363113720138261392214020141311421614323144401453914628147131483714981502715142152351531715417155815614157351583715919160161611616291638164291652111213314410512667689911101111161217131314515416717151812191720252152228231224122572620273128222916301631163226332934113519361137373840391440234110421543364428451046184713481449155020511952105338543255856155729581759216096111621163136414651666146711687692770177125721373357425752376877167867915801381118213837848853886248719882289429012916921393169413951896189799899910100191012310291031610491051810611107610861099110711171124113111145115111161111711118611941203121412231231912481255126161272112816129221301013122132121331313423135111361113729138241391014091411814223143411441514520146361471314822149181503915111152151531415415155411563015743158321598160431612016217163271641916518166111671916814169401701017119172261731517451751317630177917810179301801418171828183518411185221861018737188281892919012191719271931219414195261969197101981219972001020112202720323204820516206111182173641151161172387911101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5.9.1 Fact with the Odd and the Even chapters at the Verse level as digit sum

Since Evidence 5.9 is based on the digit sum of all the numbers of the big number, even if we construct the even and odd based coding patterns, the digit sum of these two big numbers would be same! Therefore, there is no point to calculate them again as the even and odd pattern does not bring any unique information. In fact, based on the rules, we could count those 4 cases as successes since we have to follow the rules and include all the numbers, but I will be very conservative and exclude these kind of cases to make sure the general probability of the main 19 system presented in this book will be very conservative and thus reliable with which we can confidently make conclusions.

Basically, since the even and odd pattern is not relevant here, the even and odd patterns are not relevant for the Evidence 5.9 to follow up and thus the odd and even counters are not updated here.

5.10 Evidence: Verses and Words Sum

Just as before this evidence gets its rule to obtain the number to be tested from chapter Al-Fatiha. I will not repeat importance of Al-Fatiha. In the previous evidence, Evidence 5.9, we had observed 19 based coding evidence between verse indices and number of its words using digit sum of all the numbers. However, regarding the general rule, we need to count all the possible codings on chapter Al-Fatihah. We could also use decimal sum instead of digit sum as the relevant numbers in the chapter Al-Fatiha are single digit. Namely, both operation can be used in chapter Al-Fatihah. Therefore, since we already witnessed success in Fact 5.9 with the digit sum operation, in this evidence we use decimal sum operation and again observe the 19 based coding in the full text of Quran! Basically, in this fact, we sum all the numbers. Let's first see the fact in chapter Al-Fatiha and then apply it to whole Quran again.

x<- nQuran
x<- x[x$chapter==1,]
tmp <- x$verse+x$vwords
tmp <- sum(as.numeric(tmp))

cat("The sum of the verse indices and their number of words in Al-Fatiha is ", tmp, "  and it is also divisible by 19 and the result is ", tmp/19)
## The sum of the verse indices and their number of words in Al-Fatiha is  57   and it is also divisible by 19 and the result is  3

Now we observed the rule and apply it to whole Quran. The sum of all these numbers are also divisible by 19 as follows:

x<- nQuran
tmp <- x$verse+x$vwords
tmp <- sum(as.numeric(tmp))
cat("The sum of the verse indices and their number of words in all Quran is ", tmp, "  and it is also divisible by 19 and the result is ", tmp/19)
## The sum of the verse indices and their number of words in all Quran is  411464   and it is also divisible by 19 and the result is  21656
as.bigz(tmp) %% 19
## Big Integer ('bigz') :
## [1] 0

For the reference, to the best of my knowledge, Fact 5.10 is first time presented to the literature in this book, and it has been hypothesized, tested and discovered by myself. In case if I find out Fact 5.10 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book.

We could try this also in all the 6348 verses. Considering all, we have one success out of two trials for this evidence to add to the counters. Let's add the trials and successes into the special counters of the Al-Fatihah based coding patterns as follows.

alFatihah_tested_nums <- alFatihah_tested_nums + 2 
alFatihah_success_nums <- alFatihah_success_nums +1

Fact of even and odd pattern follow up: Basically, since the even and odd pattern is not relevant here, the even and odd patterns are not relevant for the Evidence 5.10 to follow up and thus the odd and even counters are not updated here. Because, even if we construct the even and odd based coding patterns, the sum of them would be the same as the one of Evidence 5.10!

5.11 Probability of the evidences based on Al-Fatihah

Before calculating the probability of observing Al-Fatihah based evidences, as the general rule, we need to make sure we counted all the possible codings we observed in Al-Fatihah. There is one additional coding pattern we observe in Al-Fatihah but not available in the full text of Quran. Basically, if we re-write the Al-Fatiha by, which means if we concatenate the chapter index, verse index and number of words and then concatenate them from right to left we observe that this re-writing also under 19 based design as follows:

179163154143132124114

Similar coding is not available in the full text of Quran but we have to add the two trials into the counters as follows. We also add the counts into the global counters.

#initialize and add into the global counters 
global_tested_nums <- 0
global_success_nums <- 0
#
alFatihah_tested_nums <- alFatihah_tested_nums + 2 
# Add Al-Fatihah counter onto the global counter 
global_tested_nums <- global_tested_nums + alFatihah_tested_nums
global_success_nums <- global_success_nums + alFatihah_success_nums 

Above, we also added Al-Fatiha counters into the global counters to be able to calculate the over all probability of the book in the end or up to any point in the book.

Now, we can safely calculate the probability of observing the Al-Fatiha coding pattern evidences. So far I have presented many different evidences based on the coding patterns of the chapter Al-Fatihah. I have been counting the number of tests and number of successes out of these events to be able to calculate the overall probability of what we have been observing in this particular chapter. Although, I will keep adding upon these counters, it is a good time to have a look by calculating the overall probability of all those evidences so far as they are in a similar category regarding their structures. Here is the overall probability of these evidences so far.

We have 14 trials and 5 successes with Al-Fatiha based coding patterns.

Probability of all the Al-Fatihah based coding evidences so far in this book is as follows:

tmp <-binom.test(alFatihah_success_nums, 
                 alFatihah_tested_nums, p = (1/19),
                 alternative = c("greater"))
tmp <- tmp$p.value
print(paste("The probability of", alFatihah_success_nums,
            "successes out of", alFatihah_tested_nums ,
            "(with p=1/19) is:", tmp))
## [1] "The probability of 5 successes out of 14 (with p=1/19) is: 0.000541191227342443"

5.12 Probability of the evidences based on even and odd coding pattern

Let's first add even and odd coding counters into the global counters first.

# Add even odd counters into the global counter

global_tested_nums <- global_tested_nums + evenodd_tested_nums
global_success_nums <- global_success_nums + evenodd_success_nums 

We have 8 trials and 4 successes with even and odd coding pattern.

Probability of all the Al-Fatihah based coding evidences so far in this book is as follows:

tmp <-binom.test(evenodd_success_nums, 
                 evenodd_tested_nums, p = (1/19),
                 alternative = c("greater"))
tmp <- tmp$p.value
print(paste("The probability of", evenodd_success_nums,
            "successes out of", evenodd_tested_nums ,
            "(with p=1/19) is:", tmp))
## [1] "The probability of 4 successes out of 8 (with p=1/19) is: 0.000452445048276957"

5.13 Overall probability of all the main 19 system

Below I will calculate the probability of all the evidences so far in this main chapter, which are bound by the general rules described in Chapter 5. Recall, all of the evidences of this chapter proves the 19 based design within the full text of Quran. Because if there is a design then it means the design has not been changed since year 632 and thus the text of Quran is considered as intact. Now, we will measure how likely to observe such a design below. The overall probability of the main 19 system presented in this main chapter, Chapter 5, is calculated in the following.

We have 22 trials and 9 successes so far in the the main 19 system presented in this main chapter, Chapter 5.

Here is the overall probability of the main 19 system.

tmp <-binom.test(global_success_nums, 
                 global_tested_nums, p = (1/19),
                 alternative = c("greater"))
tmp <- tmp$p.value
print(paste("The probability of", global_success_nums,
            "successes out of", global_tested_nums ,
            "(with p=1/19) is:", tmp))
## [1] "The probability of 9 successes out of 22 (with p=1/19) is: 8.21929534559757e-07"

Recall that all of the evidences of this chapter proves the 19 based design within the full text of Quran. Since we witness a miraculous unchanged design, this suggest that the book, which itself claims to be of divine origin and will be protected, is intact and unchanged. Even, if you do not read the rest of the book, these evidence should be sufficient for someone to witness the 19 based coding system of the full text of Quran, which can only be fulfilled with a super natural power. To find out about this supernatural power, I suggest we should read the content of the book, Quran, for the answer, in which we will read that God has sent Quran to all humankind and it is the final and ultimate message and the Author of the book promises that this message will always be protected. The evidences we observed so far, assures that the book is indeed protected till the last word and letter based on the 19 based coding system of the full text of Quran.

Before closing, let’s try something else for extremely skeptical people. If some people think that we should have used more tests, although we tried all of them regarding the rules, I will not even look at the possible further successes in that case and keep the success number same but double the number of trials and see what would then be the probability.

Now, double the number of all trials of so far and see what would then be the overall probability.This should calm down those skeptical people.

tmp <-binom.test(global_success_nums, 
                 global_tested_nums*2,
                 p = (1/19),
                 alternative = c("greater"))
tmp <- tmp$p.value
cat(paste("The probability of all the ", global_success_nums,
          "successes out of all the", global_tested_nums*2, 
          " tests (with p=1/19) is:", tmp))
## The probability of all the  9 successes out of all the 44  tests (with p=1/19) is: 0.000408510005489858
cat(paste("The probability of all the ", global_success_nums,
          "successes out of all the", global_tested_nums*2,
          " tests (with p=1/19)  and Probability of number 19
          being in Quran together is:", tmp*(1/114)))
## The probability of all the  9 successes out of all the 44  tests (with p=1/19)  and Probability of number 19
##           being in Quran together is: 3.58342110078822e-06

References

Saleem, Shehzad. 2018. History of the Quran- a Concise Study. Al-Mawrid.