# Chapter 5 Evidences of Nineteen

In this chapter, I will demonstrate each 19 based codings over all the descriptive numbers of the text of Quran that was generated in Chapter 3. I will also provide the R programming code chunks so that the readers can also reproduce the results easily by just copy and paste themselves and test the presented results of the evidences. The evidences is not as simple as the one I deliberately designed for the title of this book or the title of this chapter in case you did not realize yet!

## 5.1 Evidence: Integrity and intactness of all the main numbers

This evidence will show that all the main descriptive numbers are together designed by the 19 based coding system of the text of Quran. For convenience and its importance for this chapter, I present the descriptive numbers again here in the following tables.

dfnums <- data.frame(c,v,V,w,W,l,L)
# Table:
knitr::kable(dfnums, booktabs = TRUE,
caption = 'Table of all the 7 main descriptive numbers of the text of Quran.')
Table 5.1: Table of all the 7 main descriptive numbers of the text of Quran.
c v V w W l L
114 6236 6348 77797 78245 330709 332837
dfunums <- data.frame(u,U)
# Table:
knitr::kable(dfunums, booktabs = TRUE,
caption = 'Table of all the unique descriptive numbers of the text of Quran.')
Table 5.1: Table of all the unique descriptive numbers of the text of Quran.
u U
14870 80068

Let’s first remember the main numbers of the text of Quran. There are 4 main numbers of the text, which are number of chapters, number of verses, number of words and number of letters. However, as explained in detail in Chapter 4.1.2, Quran has a different structure, which makes it possible to be defined in two different forms regarding those main numbers of each form. Specifically, if we prefer to describe Quran with numbered verses only then we have these 4 descriptive numbers in order:

$c, v, w, l$

$114-6236-77797-330709$

In fact most of the scholars mentions Quran with regard to the numbered verses and cites verse number as 6236. However, some scholars like to mention all the verses including the unnumbered Basmala verses and thus cite the verse number as 6348. In that case the 4 main numbers are as follows in order:

$c, V, W, L$

$114-6348-78245-332837$

These show the two different aspects of the text of Quran regarding its textual structure. In fact, both of the scholars are correct as long as they emphasize the difference. However, do we have a 19 based coding evidence that supports the current belief that Quran is intact and thus all the numbers are correct? A 19 based evidence on the main descriptive numbers of Quran that verifies both of the text forms to be under 19 based coding system and they are designed in harmony together should be considered superior than any other evidence that only verifies one form of the text. In this evidence, I will present that both of the main descriptive numbers are together coded and under the 19 based coding system of the text of Quran.

Also, I ordered the 4 main numbers naturally from chapters towards letters by following the general rules as described in Chapter 4. Again, according to the rules described in Chapter 4, there are only two ways we can combine these two main descriptive numbers by concatenating them either way as follows:

1. $c, v, w, l, c, V, W, L$

$114623677797330709114634878245332837$

1. $c, V, W, L, c, v, w, l$

$114634878245332837114623677797330709$

There are only two possible combinations and both of the number combinations are divisible by 19. This means that they both are in harmony and designed together with the 19 based coding system. Specifically, Evidence 5.1 holds the divisibility by 19 rule of Chapter 4.1.1 of the global Test 19 (Chapter 4.2.4) and thus it is under the 19 based coding system of the text of Quran. Or, in other words, “74:30. Over it is Nineteen”!

Proof of Evidence 5.1: We have to use a special R package, gmp (Lucas et al. 2019), for the computation of big numbers. As a double check, one can also manually copy and paste this big number into a web application (“Big Number Calculator” 2019) for a double check if wished.

#First number
suppressWarnings(require(gmp))
tmp <- paste0(c, v, w, l, c, V, W, L, collapse = '')
tmp
##  "114623677797330709114634878245332837"
cat("The mod 19 of this long number is ", as.numeric(as.bigz(tmp) %% 19))
## The mod 19 of this long number is  0
cat("The precise result of the division is found as follows:") 
## The precise result of the division is found as follows:
cat(as.character(div.bigz(tmp, 19)))
## 6032825147227932058664993591859623

Similarly, we can prove for the second number.

#First number
suppressWarnings(require(gmp))
tmp2 <- paste0(c, V, W, L, c, v, w, l, collapse = '')
tmp2
##  "114634878245332837114623677797330709"
cat("The mod 19 of this long number is ", as.numeric(as.bigz(tmp2) %% 19))
## The mod 19 of this long number is  0
cat("The precise result of the division is found as follows:") 
## The precise result of the division is found as follows:
cat(as.character(div.bigz(tmp2, 19)))
## 6033414644491201953401246199859511

We all witnessed that the two big numbers of Evidence 5.1 are precisely divisible by 19. Feel free to double check it by running the codes yourself or by just copying and pasting that big number into an independent big number calculator, such as this (“Big Number Calculator” 2019) and test it yourself.

Evidence 5.1 and its reproducible proofs demonstrated that Quran has a 19 based coding evidence that supports the integrity and intactness and order of the all the main descriptive numbers of the text of Quran from chapters until letters. Evidence 5.1 demonstrates that all the main numbers regarding the two categories of the text of Quran are not random numbers but they are related to each other in an orderly manner and they are all coded together and in harmony regarding number 19 based coding system of the text of Quran. In other words, “74:30. Over it is Nineteen”.

Let’s know calculate the probability of Evidence 5.1 being observed by chance alone. We had two events and two successes as we apply only the default test per number, which was set as the rule,in Chapter 4.1.2, for all the descriptive numbers. This means we have two success out of 2 tests each with probability of 1/19. We can use Binomial test to calculate this specific probability.

tmp <-binom.test(2, 2, p = (1/19),
alternative = c("greater"))
tmp <- tmp$p.value print(paste("The probability of 2 success out of 2 tests (with p=1/19) is:", tmp)) ##  "The probability of 2 success out of 2 tests (with p=1/19) is: 0.00277008310249307" Even if we had only observed this single evidence in whole Quran, then as we see from the probability result, Evidence 5.1 alone is proven to be statistically significant event independent of any other events. Moreover, number 19 is not a random number that we observe by chance in the text of Quran. It was the only unique number mentioned in a special way in Quran as in “74:30. Over it is Nineteen”. Therefore, as I discussed in Chapter 4.2.2, the probability of this number mentioned in Quran was approximated as Probability P2 (1/114). As discussed in Chapter 4.2.3, we can calculate the combined probability of two events occurring together by multiplying them if we wanted to get the probability of observing only this evidence regardless of others. Thus, the approximate such probability of Evidence 5.1 is as $$((tmp) * 1/114) = 2.4\times 10^{-5}$$ or $$0.0024$$%. I calculated this probability once in this evidence but this situation is similar for all the other evidences. I will not repeat it for all the other evidences again and again but we better keep this in mind. I will only calculate their independent probability for each of the rest of the evidences. In the end of all the evidences, I will compute the combined probability of all the evidences and then will consider this Probability P2 along with the total probability. Also it is important to emphasize that, since the numbers passed the default divisibility by 19 test, it confirms that, not just the sizes but also the order of the concatenated numbers are designed and in harmony and interconnected too. Therefore, since we have a rule that dictates the ordering of the numbers while concatenating, the divisibility by 19 rule further assures that the order, namely the structure and organization of the text is also designed along with the size of each component of the text. Any evidence that has similar situation should be considered similarly in future evidences. Therefore, Evidence 5.1 provides a strong rationale evidence that all the numbers of chapters, verses, words and letters of Quran were designed from the beginning and also it was not changed and still intact. It stands as a strong evidence to the hypothesis that the text of Quran is authentic and unchanged from the beginning. Because, in this evidence, we witnessed that all the 7 descriptive numbers, including numbered verses and unnumbered verses are in harmony and connected to each other by the 19 based coding system of the text of Quran. It is important because there is one chapter (Chapter 9) out of all the 114 chapters that does not start with the unnumbered Basmala verse in Quran. It was deliberately left so and unconventional to the rest of Quran. If they had written an another unnumbered Basmala in front of Chapter 9 as all the rest of the 113 chapters of Quran, then Evidence 5.1 would be collapsed! From this evidence, we are assured that the content and organization of the text of Quran, from chapter to letters, as a whole is designed and as is from the beginning for the last 1387 years and unchanged. As the last thing to do, let’s add the number of successful evidences and the number of numbers to be tested regarding this evidence in a global object so that in the end of the book we can calculate the global probability using the counters. #initilize to clarify them global_tested_nums <- 0 global_success_nums <- 0 #we will repeat below after each evidence global_tested_nums <- global_tested_nums + 2 global_success_nums <- global_success_nums + 2  For the reference, to the best of my knowledge, Evidence 5.1 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 5.1 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book. ## 5.2 Evidence: The unique numbers $u, U$ $14870-80068$ In Chapter 3.5, I provided reproducible open source codes that allow easily to reproduce and generate the 7 main descriptive numbers of the text of Quran and also provided the two unique numbers that are distilled from all the used words of Quran. Those two numbers are unique number of words (denoted by u) and also the number of letters of the unique words (denoted by U) of Quran. In total, all the 9 different descriptive numbers about the text of Quran can be reproduced in Chapter 3.5 from the text of Quran. The unique numbers u and U are not independent categories of the text of Quran but they are derived from all the used words and letters in Quran. In a sense, they are offsprings of the words and letters categories, respectively, as they are dependent of the main descriptive numbers of the text of Quran. Thus, they are treated as a separate category. These unique numbers are also important and that must be considered because it reflects the richness of the word set used in the book of God. I expected them to be coded under the 19 based coding system of the text of Quran and also designed together with all the 7 main descriptive numbers of the text of Quran and thus developed hypothesis and tested them as such. Regarding the general rules, I do not test them alone but concatenate them together. Since u and U represent a separate category, I concatenate them in the natural order as well, which is words and the letters. Both types of the text of Quran, with unnumbered verses and with only numbered verses, has the same number of unique words as the unnumbered Basmala verses are just repetitions of the numbered Basmala (chapter 1, verse 1). Therefore there is only one combined number to be tested, which is uU. In summary, in this evidence, I will prove that the unique number of words ($$14870$$) and their number of letters ($$80068$$) together, which is $$1487080068$$, are also under the 19 based coding system of the text of Quran as follows: tmp <- paste0(u,U, collapse = '') tmp ##  "1487080068" cat("The mod 19 of the unique numbers combination is ", as.numeric(as.bigz(tmp) %% 19)) ## The mod 19 of the unique numbers combination is 0 cat("The precise result of the division is found as follows:")  ## The precise result of the division is found as follows: cat(as.character(div.bigz(tmp, 19))) ## 78267372 There is only one combination of the unique numbers according to the general rules as described in Chapter 4 and I proved that both of the descriptive unique numbers are together coded by the 19 based coding system of the text of Quran. Or, in other words, “74:30. Over it is Nineteen”! Specifically, Evidence 5.2 holds the divisibility by 19 rule of Chapter 4.1.1 of the global Test 19 (Chapter 4.2.4) and they are under the 19 based coding system of the text of Quran. Feel free to test it yourself by reviewing and running all the codes of this evidence. The probability of Evidence 5.2 to be divisible by the number 19 is 1/19 as there is one number and one test performed. Also, as I discussed in detail in Chapters 3.7, I argue that it is practically impossible to count the number of unique words manually by the people of that time that is 1387 years ago. Therefore, I conclude that this and any other evidence that includes unique descriptive numbers are beyond the ability of the people of that time to fulfill and thus must be designed supernaturally, or in other words, by God. As the last thing to do, let’s add the number of successful evidences and the number of numbers to be tested regarding this evidence in a global object so that in the end of the book we can calculate the global probability using the counters. #Because we apply only the default test to the single number in this evidence. global_tested_nums <- global_tested_nums + 1 global_success_nums <- global_success_nums + 1  For the reference, to the best of my knowledge, Evidence 5.2 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 5.2 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book. ## 5.3 Evidence: All the numbers This evidence will show that all the 9 descriptive numbers of the text of Quran are also designed together and under the 19 based coding system of the text of Quran. This evidence proves that the previous two evidences, Evidence 5.1 and Evidence 5.2 are in harmony together and they are designed together and intact and unchanged for the last 1387 years since the revelation of Quran was complete. According to the general rules as described in Chapter 4, we can combine those combined numbers by concatenating in any possible directions. In this case, to combine the two numbers of Evidence 5.1 and the single number of Evidence 5.2, we have 4 combinations as follows: 1. $c, v, w, l, c, V, W, L, u, U$ $1146236777973307091146348782453328371487080068$ 2. $u, U, c, v, w, l, c, V, W, L$ $1487080068114623677797330709114634878245332837$ 3. $c, V, W, L, c, v, w, l, u, U$ $1146348782453328371146236777973307091487080068$ 4. $u, U, c, V, W, L, c, v, w, l$ $1487080068114634878245332837114623677797330709$ This evidence, Evidence 5.3, shows that each of the four combinations are divisible by 19. This means all the 9 descriptive numbers of the text of Quran is under the 19 based coding system of the text of Quran. This strongly supports the hypothesis that they are coded and designed from the beginning together and are in perfect harmony among each other, and unchanged and intact from the beginning for the last 1387 years. Here is the proof that each of four combinations are divisible by 19. #1 tmp <- paste0(c, v, w, l, c, V, W, L, u, U, collapse = '') tmp ##  "1146236777973307091146348782453328371487080068" cat("The mod 19 of the first combination is ", as.numeric(as.bigz(tmp) %% 19)) ## The mod 19 of the first combination is 0 cat("The precise result of the division of the first combination is ") #as.character(as.bigz(tmp) / 19) ## The precise result of the division of the first combination is as.character(div.bigz(tmp, 19)) ##  "60328251472279320586649935918596230078267372" #2 tmp <- paste0(u, U, c, v, w, l, c, V, W, L, collapse = '') tmp ##  "1487080068114623677797330709114634878245332837" cat("The mod 19 of the second combination is ", as.numeric(as.bigz(tmp) %% 19)) ## The mod 19 of the second combination is 0 cat("The precise result of the division of the second combination is ")  ## The precise result of the division of the second combination is #as.character(as.bigz(tmp) / 19) as.character(div.bigz(tmp, 19)) ##  "78267372006032825147227932058664993591859623" #3 tmp <- paste0(c, V, W, L, c, v, w, l, u, U, collapse = '') tmp ##  "1146348782453328371146236777973307091487080068" cat("The mod 19 of the third combination is ", as.numeric(as.bigz(tmp) %% 19)) ## The mod 19 of the third combination is 0 cat("The precise result of the division of the third combination is ")  ## The precise result of the division of the third combination is #as.character(as.bigz(tmp) / 19) as.character(div.bigz(tmp, 19)) ##  "60334146444912019534012461998595110078267372" #4 tmp <- paste0(u, U, c, V, W, L, c, v, w, l, collapse = '') tmp ##  "1487080068114634878245332837114623677797330709" cat("The mod 19 of the fourth combination is ", as.numeric(as.bigz(tmp) %% 19)) ## The mod 19 of the fourth combination is 0 cat("The precise result of the division of the fourth combination is ")  ## The precise result of the division of the fourth combination is #as.character(as.bigz(tmp) / 19) as.character(div.bigz(tmp, 19)) ##  "78267372006033414644491201953401246199859511" As we just witnessed, all the four possible combinations of the main and unique numbers combinations are divisible by 19. In other words, “74:30. Over it is Nineteen”. The probability of Evidence 5.1 with these four successes can be calculated as follows. tmp <-binom.test(4, 4, p = (1/19), alternative = c("greater")) tmp <- tmp$p.value
print(paste("The probability of 4 success out of 4 tests (with p=1/19) is:", tmp))
##  "The probability of 4 success out of 4 tests (with p=1/19) is: 7.67336039471765e-06"

As the last process to do, let’s add the number of successful evidences and the number of numbers to be tested regarding this evidence in a global object so that in the end of the book we can calculate the global probability using the counters.

#Because we apply only the default test to the single number in this evidence.
global_tested_nums <- global_tested_nums + 4
global_success_nums <- global_success_nums + 4 

For the reference, to the best of my knowledge, Evidence 5.1 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 5.1 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book.

So far, I presented all the most important evidences on the descriptive numbers of the text of Quran with respect to all the categories of the text of Quran, which are chapters, verses, words and letters. This was the last evidence in regard to the 9 descriptive numbers of the text of Quran, which was presented in Chapter 3.6.1.

## 5.4 Evidence: All the numbers per chapter

In Evidence 5.1, I showed that the number of each category over all the text of Quran is coded by the 19 based coding system of the text of Quran. Now I will show similar evidence, regarding the descriptive numbers per chapter. This means, we are going down to next level of resolution in the text of Quran.

Let’s first get the table that shows the total numbers of each category per chapter in the numbered verses.

require(data.table)
nQuran <- data.table(nQuran)
cwords <- c()
cletters<-c()
for(i in 1:114){
cwords <- c(cwords,sum(nQuran[chapter==i]$vwords)) cletters <- c(cletters,sum(nQuran[chapter==i]$vletters))
}
dfVCwl <- cbind(dfVC[,c(1:2)], cwords, cletters)
# Let's print this table
require(DT)
datatable(dfVCwl,
caption = 'Total numbers of each category in numbered verses per chapter',
options = list(pageLength = 10,
autoWidth = TRUE),
rownames= FALSE)

Similarly, we can get a table that also includes the unnumbered Basmala verses into the above table. We need to be careful about the numbered Basmala of the first verse of the first chapter and the no Basmala situation of Chapter 9.

cWords <- cwords + nQuran$vwords cLetters<-cletters + nQuran$vletters
cWords <- cWords-nQuran$vwords cLetters <- cLetters-nQuran$vletters
cWords <- cWords-nQuran$vwords cLetters <- cLetters-nQuran$vletters

#add the one Basmala per chapter verse into the verse counts
dfVCWL <-cbind(dfVC[,c(1:2)],cWords, cLetters )
dfVCWL$Verse_sum <- dfVCWL$Verse_sum+1
dfVCWL$Verse_sum <- dfVCWL$Verse_sum-1
dfVCWL$Verse_sum <- dfVCWL$Verse_sum-1
# Let's print this table
datatable(dfVCWL,
caption = 'Total numbers of each category in all verses per chapter,
including the Basmala verses',
options = list(pageLength = 10,
autoWidth = TRUE),
rownames= FALSE)

Now, with regard to general rules, let’s first concatenate each category within itself in the order of chapter, verse, word and letter. We then have to follow the general rule and concatenate the two combined numbers in both directions. This results two different numbers to be tested as the chapter level. Also, regarding the rules again, we only test the default rule on the concatenated numbers of both types of the text of Quran as follows.

tmp1 <- paste0(dfVCwl$Chapter_index,dfVCwl$Verse_sum,
dfVCwl$cwords, dfVCwl$cletters)
tmp2 <- paste0(dfVCWL$Chapter_index,dfVCWL$Verse_sum,
dfVCWL$cWords, dfVCWL$cLetters)

tmp <- paste0(tmp1, tmp2)
head(tmp)
##  "17291431729143"             "22866140262492287614426268"
##  "32003501149853201350515004" "41763763163324177376716351"
##  "51202837122065121284112225" "61653056127266166306012745"
tmp <- paste0(tmp, collapse = '')
cat("Mod 19 of the number is 0 as seen:")
## Mod 19 of the number is 0 as seen:
as.integer(as.bigz(tmp) %% 19)
##  0
cat("The number of digits of the final number is: ", nchar(tmp))
## The number of digits of the final number is:  2415

As we witnessed, this big number is divisible by 19 and passed the test. Regarding the rules, there were two possible numbers to be tested and one of them passed the test but the observation is still statistically significant. This success of Evidence 5.4 shows that the descriptive numbers of both types of the text of Quran are also designed together and in harmony and interconnected at the chapter level too. The structure of the big number of this evidence is structurally similar to the ones in Evidence 5.1 but now the similar design pattern observed in per chapter level too. And we see that all the chapter, verse, words and letters sizes are intact and also their order is in perfect harmony as this ordered big number is successful on the default divisibility by 19 test. This evidence perfectly align with the previous Evidence 5.1 and they both reassure each other at different domains of the text.

The probability of Evidence 5.4 with these one success out of the two possible numbers can be calculated as follows.

tmp <-binom.test(1, 2, p = (1/19),
alternative = c("greater"))
tmp <- tmp$p.value print(paste("The probability of 1 success out of 2 tests (with p=1/19) is:", tmp)) ##  "The probability of 1 success out of 2 tests (with p=1/19) is: 0.102493074792244" As the last process to do, let’s add the number of successful evidences and the number of numbers to be tested regarding this evidence in a global object so that in the end of the book we can calculate the global probability using the counters. #Because we apply only the default test to two numbers in this evidence. global_tested_nums <- global_tested_nums + 2 global_success_nums <- global_success_nums + 1 For the reference, to the best of my knowledge, Evidence 5.4 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 5.4 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book. ## 5.5 Evidence: All the numbers per verse In Evidence 5.1 and Evidence 5.4, I had shown that the number of each category over all the text of Quran is coded at the highest level and also at the per chapter level. Both of the numbers of the chapters in both types of the text of Quran are the same. Thus, it was straight forward to concatenate the two types regarding the general rules in Evidence 5.4, where I showed similar evidence to Evidence 5.1 but with the corresponding numbers at the chapter level. Now, I will show similar evidence with the numbers in the verse level despite the fact that the two types have different total verse numbers as 6348 and 6236 and they do not match to concatenate! Since the numbers are different, we need to make some specific adjustments for this hypothesis. Let’s first see again the table that shows the total numbers of each category per verse in the numbered verses as I will concatenate these numbers of both category. knitr::kable(head(unQuran), booktabs = TRUE, caption = 'Table head of all verses of Quran.') Table 5.2: Table head of all verses of Quran. VerseI chapter verse vwords vletters text 1 1 1 4 19 بسم الله الرحمن الرحيم 2 1 2 4 18 الحمد لله رب العالمين 3 1 3 2 12 الرحمن الرحيم 4 1 4 3 12 مالك يوم الدين 5 1 5 4 19 إياك نعبد وإياك نستعين 6 1 6 3 19 اهدنا الصراط المستقيم knitr::kable(head(nQuran), booktabs = TRUE, caption = 'Table head of numbered verses of Quran.') Table 5.2: Table head of numbered verses of Quran. VerseI chapter verse vwords vletters text 1 1 1 4 19 بسم الله الرحمن الرحيم 2 1 2 4 18 الحمد لله رب العالمين 3 1 3 2 12 الرحمن الرحيم 4 1 4 3 12 مالك يوم الدين 5 1 5 4 19 إياك نعبد وإياك نستعين 6 1 6 3 19 اهدنا الصراط المستقيم Now, in a similar manner to Evidence 5.4, I will concatenate numbers of all categories regarding all and only numbered verses. Since, this evidence is about the total verse numbers 6348 and 6236 of both types, I will use the general verse indices to be able to concatenate the unnumbered Basmala verses as well. Because otherwise, there is no real representative number to be assigned to the unnumbered Basmala verses within the total of 6348 verses and thus we can not correctly concatenate their corresponding counterpart in the numbered verses at the 6236 verses. Let’s elaborate on this more. So far, we have observed that the evidences were mainly by concatenating the numbered verses version of the text of Quran and the whole version of the text that includes the unnumbered Basmala verses too. This seems to be one of the main patterns in the 19 based coding system of the text of Quran. We have observed this pattern at every level so far, from total numbers of each of the descriptor numbers of the text to per chapter level too. Now, the question is, can we see the same concatenation coding pattern in the verse level as well. If we think straight, we would probably first say no as we cannot match at the per verse level as the number of verses in the two category is different (6348 vs 6236). Second, even if we try to concatenate, what numbers are we going to assign to the unnumbered Basmala verses at the beginning of the 112 chapters? Since the unnumbered Basmala verses are unnumbered, we cannot use any other number, even 0, to really represent them. As a single solution to this point, we can fairly utilize the general verse index of each verse for all the verses, because even the unnumbered verses have a unique general verse index in order out of the 6348 verses. This way, we solve the second problem but how about the first problem of concatenating the unmatched total verse numbers of both category (6348 vs 6236)? Well, solution came by itself as I had not even thought about it before running the code myself at first! I just tried the default approach of R programming language, which is the natural one. If you try to concatenate two vectors where one of the vectors is longer than the other, then by default, R keeps concatenating by starting over the smaller vector again. In a sense, the larger vector wraps the smaller vector. As an example, let’s say we have two vectors a an b. The longer vector a has 5 elements as this a=(1,2,3,4,5) and the shorter vector b has three elements as this b=(7,8,9). Then, if we concatenate a and b, the natural way is to start using the elements of the shorter vector from the beginning again. A a result, the concatenation of a and b gives us this vector ab=(17, 28, 39, 47, 58). This is the natural way and also the default behavior of R as well. This means I did not even need to write a special code to perform this concatenation task and just simply concatenated them as if they are equal. In this evidence, we will test exactly this and see if the concatenation of the descriptive numbers of the text of Quran per verse level is also under the 19 based coding system of the text of the Quran. Here is the proof that shows success on this evidence too: x<- data.table(unQuran) tmp1 <- paste0(x$chapter, x$VerseI,x$vwords, x$vletters) x<- data.table(nQuran) tmp2 <- paste0(x$chapter, x$VerseI,x$vwords, x$vletters) tmp<-paste0(tmp1,tmp2) # To see what is going on in concatenation head(tmp) ##  "1141911419" "1241812418" "1321213212" "1431214312" "1541915419" ##  "1631916319" tmp1[6235:6238] ##  "996235419" "996236420" "996237318" "996238416" tmp2[6235:6236] ##  "1146235520" "1146236313" tmp[6235:6238] ##  "9962354191146235520" "9962364201146236313" "99623731811419" ##  "99623841612418" # tmp <- paste0(tmp, collapse = '') as.integer(as.bigz(tmp) %% 19)  ##  0 # this is not used as evidence but just presented as a fact. as.integer(digitsum(tmp) %% 19)  ##  0 cat("number of digits on this big number is", nchar(tmp)) ## number of digits on this big number is 117196 Regarding the rules, we need to test both directions of the concatenation and thus we have two numbers to test but we have one success. As always, we only apply the default test in regard to evidences of the concatenated numbers of the two types of the text of Quran. This means we performed two tests and observed one success. In the analysis, you can see that the digit sum of this big number is also divisible by 19, which means that this big number would pass both of the tests at the same time but as I set a general rule before, I only take the result of the default test as a proof of the evidence. The second result is interesting and I decided to present it as well just as a fact. Therefore, we can compute the probability of this evidence as follows: tmp <-binom.test(1, 2, p = (1/19), alternative = c("greater")) tmp <- tmp$p.value
print(paste("The probability of 1 success
out of 2 (with p=1/19) is:", tmp))
##  "The probability of 1 success\n            out of 2 (with p=1/19) is: 0.102493074792244"

As the last process to do, let’s add the number of successful evidences and the number of numbers to be tested regarding this evidence in a global object so that in the end of the book we can calculate the global probability using the counters.

#Because we apply only the default test to
#       the single number in this evidence.
global_tested_nums <- global_tested_nums + 2
global_success_nums <- global_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.

## 5.6 Evidence: Per letters concatenation

I will present an evidence with the exact same approach of Evidence 5.5, but with only letter level but nothing else. If you got used to the miracles of this ancient book, you might wonder, why did we skip the word level and just analyzing just the letter level. The answer is that, I did not observe word level evidence that might be part of the system and I am trying to set boundaries of the system with as general rules as possible. Therefore, as another general rule over all the book is that there is never only word level evidence in the system proposed in this book and thus I exclude them from the system in general based on observations of all the evidences. Maybe, in the future, some other people investigate more on this point and prove some primarily word level evidences and consider including them as well. As long as they are not exceptions and part of general rules then they can be included in the future if any exist.

Back to the main point, here is the proof of the last evidence, Evidence 5.6, which is merely based on number of letters per verse. In this evidence, similar to the general approach in Evidence 5.1, Evidence 5.4 and also Evidence 5.5, we will concatenate the numbers of both text types of Quran but at the number of letters per verse resolution.

tmp1 <- unQuran$vletters tmp2 <- nQuran$vletters
tmp<-paste0(tmp1,tmp2)
# To see what is going on in concatenation at the unmatched indices
head(tmp)
##  "1919" "1818" "1212" "1212" "1919" "1919"
tmp1[6235:6238]
##  19 20 18 16
tmp2[6235:6236]
##  20 13
tmp[6235:6238]
##  "1920" "2013" "1819" "1618"
#
tmp <- paste0(tmp, collapse = '')
cat(as.integer(as.bigz(tmp) %% 19)) 
## 0
cat("number of digits on this big number is", nchar(tmp))
## number of digits on this big number is 26634

Again with respect to the rules, we need to test both directions of the concatenation and thus we have two numbers to test and we have one success. We again only apply the default test in regard to evidences of the concatenated numbers of the two types of the text of Quran. Namely, we performed two tests and observed one success. Therefore, we can compute the probability of this evidence as follows:

tmp <-binom.test(1, 2, p = (1/19),
alternative = c("greater"))
tmp <- tmp$p.value print(paste("The probability of 1 success out of 2 (with p=1/19) is:", tmp)) ##  "The probability of 1 success out of 2 (with p=1/19) is: 0.102493074792244" As the last process to do, let’s add the number of successful evidences and the number of numbers to be tested regarding this evidence in a global object so that in the end of the book we can calculate the global probability using the counters. #Because we apply only the default test to the single number in this evidence. global_tested_nums <- global_tested_nums + 2 global_success_nums <- global_success_nums + 1 For the reference, to the best of my knowledge, Evidence 5.6 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 5.6 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book. ### 5.6.1 Overall probability of the concatenation evidences So far I have presented 6 different evidences based on obtaining the numbers of interest in a similar fashion. Basically we first concatenate the numbers in the natural order within its own categories for both of the text types of Quran. We then concatenate the two combined numbers in both directions. This concatenation of the concatenation approach appears to be systematic pattern in the text of Quran and I presented evidence Evidence 5.1, Evidence 5.2 , Evidence 5.3, Evidence 5.4, Evidence 5.5 and Evidence 5.6. I have been counting the number of tests and number of successes out of these events in the two R object to be able to calculate the overall probability of what we have been observing in the end. Although, I will keep adding upon these counter object, it is good time to have a look by calculating the overall probability of those 6 evidences as they are a separate similar category regarding their structures. Here is the overall probability of these 6 evidences so far. 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,
"success out of", global_tested_nums ,
"(with p=1/19) is:", tmp))
##  "The probability of 10 success out of 13 (with p=1/19) is: 4.02696517720293e-11"

As you witnessed, the probability of observing those 6 evidences is extremely small and simply put impossible by chance to occur and thus they must be designed. 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 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 it will all be protected. The evidences we observed so far, assures that the book is indeed protected based on the 19 based coding system of the text of Quran. Let’s now see other evidences as you still did not see the ultimate evidence yet!

## 5.7 Evidence of the order of each and every verses

Quran was known to be revealed to Prophet Muhammad in around 22 years. All Muslims has this historical information that the order of the revelation was different than in the book of Quran we have in our hands today. I believe that the final order is also no coincidence, especially considering the odd situation with the unnumbered Basmalas and also the absence of Basmala before Chapter 9 contrary to all the other chapters. Moreover, I interpret Verse 75:17 literally and consider it as a support on this matter too.

“It is for Us to collect it and relate it.”, Quran, 75:17

So, in my perception, Quran was built as a book in this order with current verse and chapter numbers deliberately from the beginning. However, as always, God knows best and this is my own interpretation.

The previously presented evidences, Evidence 5.4, Evidence 5.5 and Evidence 5.6, already supports it. I wanted to test whether there is any further support by the 19 based coding system of the text of Quran with respect to the order of the verses. If there is, it assures that the order and size of all the verses (automatically the order of chapters) are intact and protected until today for the last 1387 years. We had already observed strong supporting evidences (Evidence 5.4, Evidence 5.5 and Evidence 5.6) on the order. However, I specifically wanted to test the order of verses alone as well, as it is the backbone of the structure of the text of Quran.

So, how could we test it? What should be the rule to test that convince ourselves such that there is a strong evidence on the order of all those 6236 numbered verses of Quran. So, I set the most simple and meaningful rule for this test, which is the most concise with no redundant number in it and yet sufficient to the test the order of the verses. I will simply concatenate all the verse indices per chapter in their order in the book. For this, I will use the table that holds each verses per row as I had presented in Chapter 3.1. Let’s recall the table that holds the numbered verses of Quran, where each row is one verse.

require(data.table, quietly = T)
require(DT, quietly = T)
datatable(nQuran,
caption = 'Table of the numbered verses of Quran.',
options = list(pageLength = 10,
autoWidth = TRUE),
rownames= FALSE)

As seen in this table, since we already know the order of the verses, we can just concatenate verses regarding their current order from 1 to 6236. So, the rule is very simple and also meaningful. I just concatenate all the indices of the verse numbers per chapter in their order in the Quran, starting from the first chapter till the last one that is 114. This big number does not contain any redundant and unnecessary number to perform the test on the goal of interest, which is the order and size of verses and chapters as well. Also, we can only apply the default division by 19 test and we cannot use the optional digit sum test. Because, the order of the verses is to be tested and digit sum is not applicable in that case. So, we have one number and one test in the end of this hypothesis. We cannot use the second type of the text of Quran with the unnumbered Basmala verses as they do not have number as verse indices with respect to their assigned chapters.

Here is the reproducible test and proof of the evidence that supports that the order of chapters and verses and also the size of verses of each chapter is correct and intact and protected from the beginning till now for the last 1387 years. As seen below, this big number is divisible by 19 and under the 19 based coding system of the text of Quran. Or, in other words, “74:30. Over it is Nineteen”. Here is the proof of this evidence:

head(nQuran$verse) ##  1 2 3 4 5 6 tmpVc <- paste0(nQuran$verse, collapse = '')
cat("Test of Rule 1:") 
## Test of Rule 1:
as.integer(as.bigz(tmpVc) %% 19)
##  0
cat("The number of digits of the final number is: ", nchar(tmpVc))
## The number of digits of the final number is:  12471

We have one out of one success in this evidence. The probability of this big number to be divisible by 19 is 1/19. As we witnessed this very big number is divisible by 19.

As the last process to do, let’s add the number of successful evidences and the number of numbers to be tested regarding this evidence in a global object so that in the end of the book we can calculate the global probability using the counters.

#Because we apply only the default test to the single number in this evidence.
global_tested_nums <- global_tested_nums + 1
global_success_nums <- global_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.

To make sure, you can imagine the size of the big number and make some observable tests as well, I will print out this big number in this book. For example, the The first chapter has 7 verses as you can see at the beginning of the big number. Also, as a double check, you manually copy and paste this extremely big number into another web application for any big numbers calculator such as this (“Big Number Calculator” 2019). Here is the $$12471$$ digit big number that we tested above:" 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".

### 5.7.1 Discussion on this evidence

Can you imagine that people of that time could design such an evidence themselves even if they wanted to? They did not even had abundance of papers and pen but using mainly animal skins as papers. Imagine right now, you are given this task and a big prize. Can you manually, using only papers and pen, divide this big extremely big number into 19 and make sure it is is divisible by 19? As you can admit, this is impossible to perform by people manually even now.

Another point is that this evidence stands as proof for not only the order of chapters are correct, but also the order of verses within chapters and also the total number of verses per chapter is also correct, intact and also unchanged since the beginning till now for the last 1387 years. This evidence along with others stand up against any argument on those points of the text of Quran.

## 5.8 Further Evidences on the order of chapter, verse, words and letters

Evidence 5.7 was the most direct approach to show that the sizes and orders of verses of the text of Quran are correct and intact. I decided to extent this approach with words and letter numbers per verse as well. This section contains two different evidences but I decided to present them under one section as they all aim to prove similar hypothesis that the order and sizes of chapter, verse, words and letters are correct.

For the tests, I will use the numbers of these tables that keep all the descriptor numbers for each and every verse in order:

knitr::kable(head(unQuran), booktabs = TRUE,
caption = 'Table head of all verses of Quran.')
Table 5.3: Table head of all verses of Quran.
VerseI chapter verse vwords vletters text
1 1 1 4 19 بسم الله الرحمن الرحيم
2 1 2 4 18 الحمد لله رب العالمين
3 1 3 2 12 الرحمن الرحيم
4 1 4 3 12 مالك يوم الدين
5 1 5 4 19 إياك نعبد وإياك نستعين
6 1 6 3 19 اهدنا الصراط المستقيم
knitr::kable(head(nQuran), booktabs = TRUE,
caption = 'Table head of numbered verses of Quran.')
Table 5.3: Table head of numbered verses of Quran.
VerseI chapter verse vwords vletters text
1 1 1 4 19 بسم الله الرحمن الرحيم
2 1 2 4 18 الحمد لله رب العالمين
3 1 3 2 12 الرحمن الرحيم
4 1 4 3 12 مالك يوم الدين
5 1 5 4 19 إياك نعبد وإياك نستعين
6 1 6 3 19 اهدنا الصراط المستقيم

Evidence: In the first test, I will perform similar approach to Evidence 5.7 but with words and letters numbers as well, which means in finest text resolution, as follows.

x<- data.table(nQuran)
tmp <- paste0(x$verse, x$vwords, x$vletters) head(tmp) ##  "1419" "2418" "3212" "4312" "5419" "6319" tmp <- paste0(tmp, collapse = '') as.character(as.bigz(tmp) %% 19) ##  "0" nchar(tmp) ##  35134 cat("number of digits on this big number is", nchar(tmp)) ## number of digits on this big number is 35134 Since we use verse index per chapter in this test, we only have one number to try as we can only use numbered verses of the text of Quran. As seen in the proof, this resulted one success out of one test. Evidence: I will now perform the test with only words and letters. Since we respect the order while concatenating, the verse and chapter orders information are also implicitly included in this test. Here, we do not use the verse indices per chapter directly and thus we can use both types of the text of Quran. Interesting enough, this test works on the text type that incorporates unnumbered and numbered verses as follows: x<- data.table(unQuran) tmp <- paste0(x$vwords, x$vletters) head(tmp) ##  "419" "418" "212" "312" "419" "319" tmp <- paste0(tmp, collapse = '') as.integer(as.bigz(tmp) %% 19) ##  0 cat("number of digits on this big number is", nchar(tmp)) ## number of digits on this big number is 22999 I could also test this hypothesis in the numbered verses (nQuran object) as well and thus we have 1 out of 2 success in this case. So far, in two evidences we had 3 tests and 2 successes. I already stated previously that as a rule we never take word indices alone in tests. But, we could also test the similar pattern with the letter numbers alone in the two text types. Considering this, in total we have 2 success out of 5 possible numbers to test. Let’s calculate the probability of this observation as follows: tmp <-binom.test(2, 5, p = (1/19), alternative = c("greater")) tmp <- tmp$p.value
print(paste("The probability of 2 success out of 5 (with p=1/19) is:", tmp))
##  "The probability of 2 success out of 5 (with p=1/19) is: 0.0248984390365652"

As the last process to do, let’s add the number of successful evidences and the number of numbers to be tested regarding this evidence in a global object so that in the end of the book we can calculate the global probability using the counters.

#Because we apply only the default test to the single number in this evidence.
global_tested_nums <- global_tested_nums + 5
global_success_nums <- global_success_nums + 2

For the reference, to the best of my knowledge, Evidence @ref(Ev_subform_1) 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 @ref(Ev_subform_1) had been available in another article, then, in such a case, I surely add a citation and update the online version of this book.

## 5.9 Evidences: on combining individual categories

As I described in the rules in Chapter 4, we can combine the totals of the descriptive numbers within their own category. As explained in in more detail in Chapter 4, This gives us 5 combined numbers to test: cc, vV, uU, wW, lL. Again as a meaningful rule, since the numbers represent same type then we can test both directions. This means 4 out of 5 is tested in both directions. In the case of unique numbers category, uU, we can only use this uU single combination as u represents unique words and U represents unique letters of unique words as we have to follow the natural order of the categories. Thus, in this evidence, Chapter 5.9, we have 18 tests to be tested as we apply both the default and optional digit sum tests. I will present them individually as sub-sections of this chapter as follows.

### 5.9.1 Evidence: The Chapters

$cc$

$114114$

The number of chapters in Quran is 114 and it is divisible by 19. Regarding the rules, I need to test cc in both directions, which is the same number and both passes the test that provides two success out of two test with total chapter numbers. Among all the others, Evidence 5.9.1 looks the most obvious one and easiest to count even manually. However, it is still one other independent evidence of the text of Quran regarding 19 based coding system of its text and the accumulation of these independent events matter in the final conclusion. Also, I am not using the number of chapters, 114, alone as evidence but regarding the defined rules, I am considering both types of the texts and concatenate this number, 114, and get 114114. Although, this does not change the result, the approach to using this evidence in this form and putting it under the 19 based coding system I defined previously, makes this evidence still relatively new. Also, for the integrity of this book I assigned it a separate evidence number, Evidence 5.9.1, as a unique reference to it in this book. Although, this number, 114, is well known by all Muslims, this book is for anyone who wants to reproduce and test the claimed evidences. Therefore, in this book, I also provided a reproducible test to count and test the number of chapters as 114 computationally from the text of Quran. The reproducible tests of Evidence 5.9.1 is available in Chapter 3.3 as the computational proof of Evidence 5.9.1. The unique number for the total number of chapters was denoted by the letter c in Chapter 3.3 in this book to refer it whenever it is used. In this evidence, we have two numbers (both directions of 114114) and 4 tests applied on it, where two of them are successful.

Regarding the reference, the number of chapters and the divisibility of it by 19 were already known by all Muslims and there is no need to give a specific reference for it. God knows best, but in my humble opinion, when considered with the verse, “74:30. Over it is Nineteen”, this so simply 19 divisible number 114 might be left so obvious as a clue (along with the 19 letters Basmala verse), so that Muslims get curious about the other numbers of the text of Quran and discover the 19 based coding system of the text of Quran in the end. How about the numbers of verses only? See next!

### 5.9.2 Evidence: The Verses

$v, V$

$6236-6348$

The number of numbered verses in Quran was counted from the text computationally and shown to be equal to $$6236 (v)$$ and the number of unnumbered and numbered verses together in Quran was shown to be equal to $$6348 (V)$$ in Chapter 3.6.1. A reproducible test is provided in Chapter 3.3 for anyone who wish to reproduce these numbers. According to the rules I had defined previously, we have to combine them by concatenating in both directions to test. The sum of the digits of the two verse numbers v (6236) and V (6348) is equal to $$38$$ and it is divisible by 19. Or, in other words, “74:30. Over it is Nineteen”!. It is easy to calculate but lets use the digitsum function again and save some time as follows:

tmp <- paste0(v, V, collapse = '')
tmp
##  "62366348"
tmp1 <- digitsum(tmp)
cat("The sum of the digits is:", tmp1) 
## The sum of the digits is: 38

Evidence 5.9.2 incorporates both of the verse numbers and show that they are related to each other regarding 19 based coding system of the text of Quran. Since this evidence show both types of the total verse numbers are coded together by 19, it would be superior to any other claimed evidences that might show a coding based on one of the verse numbers but cannot with the other. Also, regarding the rules, I need to test vV in both directions and regarding the digit sums. Both numbers naturally passes the digit sum test that in the end provides two success out of 4 tests with total verse numbers combinations.

For the reference, to the best of my knowledge, Evidence 5.9.2 is first time presented to the literature in this book, and it has been hypothesized, tested and discovered by myself. Although it seems quite simple to be realized, I did never see this evidence elsewhere before. However, given its simplicity, I would not be surprised if it is found to be available somewhere else in the literature later on. I will find out about this upon feedback on this book. In case if I find out that Evidence 5.9.2 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book.

### 5.9.3 Overall probability of this evidence

In Evidences 5.9, we performed 18 possible tests. Two of the tests come from the unique numbers category and I had already performed and presented those tests in Evidence 5.2, where we showed one success out two tests on those numbers. In summary, regarding all evidences of Evidence 5.9, in total we observe 5 successes out of 18 tests. Therefore, we can compute the probability of this evidence as follows:

tmp <-binom.test(5, 18, p = (1/19),
alternative = c("greater"))
tmp <- tmp\$p.value
print(paste("The probability of 5 success out of 18 (with p=1/19) is:", tmp))
##  "The probability of 5 success out of 18 (with p=1/19) is: 0.00194087567881313"

This provides a statistically significant probability value. As the last process to do, let’s add the number of successful evidences and the total number of numbers that were tested regarding this evidence in the global object so that in the end of the book we can calculate the global probability using the counters. I had already counted the unique numbers before and thus exclude them here and so we have 4 successes and 16 tests to add to the global counters.

global_tested_nums <- global_tested_nums + 16
global_success_nums <- global_success_nums + 4

For the reference, to the best of my knowledge, Evidence 5.9 as a whole, is first time presented to the literature in this book. However, given its simplicity, there is chance it might be available in another article. In case if I find out Evidence 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.

## 5.10 Fact: Sums of sums

As I mentioned in the rules, because I did not observe a systematic pattern in the descriptive number totals individually, I do not test them individually and set the rules as such in Chapter 4.1.1. But, I will still report some interesting numbers as a separate fact rather than evidence. In order to claim a number to be evidence, I always consider the set rules and accordingly count the number of potential numbers to be tested so that we can calculate whether the evidence is statistically significant or not. Another reason I record some interesting numbers as a fact is that, they might still be part of another coding pattern that I might not have realized yet but people might investigate further around them and might find a new pattern and later include them too. Moreover, even if I had included these facts as evidence (instead of fact) and extend the rules and thus add some more potential redundant numbers along with it, the overall probability of all the evidences of the whole system would still be extremely significant as it is currently already extremely significant. But I prefer to keep the overall space of the numbers and system as small and simple as possible. Thus, in this current fact, I will present some interesting 19 divisible numbers as interesting facts.

Fact for sums of the totals of the 4 main descriptive numbers: First of all, the sum of the totals of the main descriptive numbers is divisible by 19. Here is the proof:

tmp <- sum(c,V,W,L) # 417544
cat(as.numeric(as.bigz(tmp)) %% 19 )
## 0

As we see, we could have two possible sums from the two text types and one of them, as a fact, is divisible by 19. As I said before, if we preferred to consider this as evidence, it would change the overall conclusion of all the defined system but just reduces the probability of overall significance somewhat.

Fact for combining sums of the totals of the main descriptive numbers per chapter:

Let’s remember the tables with which we will compute the sums of chapters, verses, words and letters.

require(data.table, quietly = T)
require(DT, quietly = T)
caption = 'Table head of the numbered verses of Quran.')
Table 5.4: Table head of the numbered verses of Quran.
VerseI chapter verse vwords vletters text
1 1 1 4 19 بسم الله الرحمن الرحيم
2 1 2 4 18 الحمد لله رب العالمين
3 1 3 2 12 الرحمن الرحيم
4 1 4 3 12 مالك يوم الدين
5 1 5 4 19 إياك نعبد وإياك نستعين
6 1 6 3 19 اهدنا الصراط المستقيم
knitr::kable(head(unQuran), booktabs = TRUE,
caption = 'Table head of the all verses of Quran.')
Table 5.4: Table head of the all verses of Quran.
VerseI chapter verse vwords vletters text
1 1 1 4 19 بسم الله الرحمن الرحيم
2 1 2 4 18 الحمد لله رب العالمين
3 1 3 2 12 الرحمن الرحيم
4 1 4 3 12 مالك يوم الدين
5 1 5 4 19 إياك نعبد وإياك نستعين
6 1 6 3 19 اهدنا الصراط المستقيم

From these tables we can compute sum of each columns of chapters and verses and combine the by concatenation and test them as below:

# text type 1
tmp <- dfVCWL
tmp <- apply(tmp,2,sum)
tmps<- sum(tmp) #the sum of the 4 descriptor number
tmp2 <- paste0(tmp, collapse = "")
tmp2 <- paste0(tmp2,tmps) # 6555634878245332837423985
# text type 2
tmp <- dfVCwl
tmp <- apply(tmp,2,sum)
tmps<- sum(tmp)
tmp <- paste0(tmp, collapse = "")
tmp #"6555623677797330709"
##  "6555623677797330709"
tmp <- paste0(tmp,tmps)
tmp #"6555623677797330709421297"
##  "6555623677797330709421297"
#combine both text type sums by concatenating as usual
x<- paste0(tmp,tmp2)
x #"65556236777973307094212976555634878245332837423985"
##  "65556236777973307094212976555634878245332837423985"
#Test
as.bigz(x) %% 19  # 0
## Big Integer ('bigz') :
##  0
digitsum(x) %% 19 # 0
##  0
#represent 3/4 success considering both ways

The fist column in the table (Chapter_index) is for the indices of chapters (1 to 114) and the sum of these indices, as another fact is 6555, which itself is divisible by 19 and also one of the three numbers of interest for this fact. The second column contains the verse sum of each chapter and the sum of it, as we know from before, is 6236.

Another fact is the the harmony between the two verse indices, overall and the per chapter verse index, when combined, provides 62366555. The digit sum of this number is 38, which is 2x19.

If you go over web sites regarding 19 system on Quran, like amazing19.com, you see that they all sum the number of indices from 1 to 114 and the mention 6555. They also demonstrate a different 19 based coding with similar to these numbers. On the other hand, I still did not observe before the combined numbers of this presented fact here and thus present in this book. Since this approach did not seem to be aligned with my defined system of this book, I present this observation as a fact.

### References

“Big Number Calculator.” 2019. 2019. https://www.calculator.net/big-number-calculator.html.

Lucas, Antoine, Immanuel Scholz, Rainer Boehme, Sylvain Jasson, and Martin Maechler. 2019. Gmp: Multiple Precision Arithmetic. https://CRAN.R-project.org/package=gmp.