# Chapter 8 Facts

In this Chapter I will present **facts** that I did not consider them as evidences but designated as evidences as I use general rules and would also like to see strong patterns to assign any coding as as evidence. However, sometimes I might be missing some other codings and these kind of facts help to discover them later and they might run out to be evidences in the future. Also, sometimes some people might as they want to see a specific relation if there is a coding. In such cases some of these facts might be their answers. Therefore I present them here as a separate sections.

## 8.1 Facts with chapter and words numbers

We already observed evidences among chapters, verses and words in Chapter 5. Moreover, we observed further evidences only among verses and word again in Chapter 5. In this chapter, Chapter 8.1, I will present codings as **facts** that suggests the 19 based relation between chapters and words only. In the latest upgrade of my book, I reorganized the codings as evidences and facts based on my new discoveries on the even and odd pattern based codings. In that upgrade, I only designated very strong codings as **evidences** and the rest as **facts**. Because, I wanted to simply the rules and make sure them to be easily comprehensible regarding the rules I set based on my observations. Therefore, in this upgrade, I designated the rewriting codings with chapter and words data as **facts**, which I present in the following chapter, Chapter 8.1.1. We basically rewrite Quran at the verse level numbers of chapters and words in Fact 8.1.1.1. As we always do per rule for all the evidences, we want to see the same coding pattern exist in the other level of the text as well, which is chapter level in this case. As I present in Fact 8.1.1.2, we observe that we can rewrite Quran with the same pattern using the chapter level data of chapters and words too.

Following the rewriting coding patterns, we observe that the default coding pattern also exist at the chapter level data of chapters and words, which I present in Fact 8.1.2. I also present further facts as subsections in this main chapter but I think those are the three important coding patterns I designated as facts rather than evidences, though I think it could still be OK to designate them as evidences though weaker than the others. Anyways, I preferred to be on the safer side and designated them as facts but if I can further analyze them in the future and see more clear rules suggesting evidences then I may update the book accordingly.

### 8.1.1 Rewriting Quran with chapter and words

In the Ultimate Evidence, Evidence 7.1.1 and Evidence 7.1.1.2 and also Evidence 7.1.2, we had rewritten the text of Quran utilizing the natural numbers of the text of Quran considering chapter, verse, words and letters. Anyways, I hypothesized that there might be other similar evidences without the number of letters. I therefore hypothesized words focused potential codings and discovered a pattern to re-write Quran utilizing only the numbers chapters and words. I consider it is as pattern because the same coding pattern exist in both levels of the text, which are chapter and verse levels. I provide those codings as subsections to be able to refer them precisely in the book I will first present the **fact** at the verse level and then in the following subsection, we will witness the same pattern exist in the chapter level too. Lastly, both of the facts are based on the second type of the text of Quran with the 6236 numbered verses.

Since the following two facts have the same pattern, I will assert them together and calculate their probabilities together here. We could also try the same pattern in the other text types of Quran with 6348 verses too. Therefore, we have 4 trials and two successes, which yields the probability of this observation as 0.015 as follows.

```
tmp <-binom.test(2, 4,p = 1/19,alternative = c("greater"))
tmp$p.value
```

`## [1] 0.01547717`

For the reference, to the best of my knowledge, Facs 8.1.1.1 and Fact 8.1.1.2 are first time presented to the literature in this book, and they have been hypothesized, tested and discovered by myself. In case if I find out those facts had been available in another article, then, in such a case, I surely add a citation and update the online version of this book.

#### 8.1.1.1 Fact: Rewriting Quran based on words and chapters at verse level numbers

In this fact, Fact 8.1.1.1, the text of Quran will be rewritten with respect to chapter indexes and number of words per verse.

Basically, for each of the 6236 verses, we first **sum** the chapter index and the number of words of each verse, which gives us the representation number of each of the 6236 verses. Since this is rewriting evidence, as usual, we place the representation numbers in place of each verse in the text of Quran. Since Arabic is written from right to left, the representation number of the first verse will be at the most right position. As the main approach of this book, we then concatenate these 6236 representation numbers and get the single meaningful representation number of the text of Quran. Remember this approach, because we will witness that as the same approach will be present at the chapter level too in the next evidence after this one. Thus they together contain this specific pattern.

Let me first remind the numbers by presenting the head and tail of the table of the numbered verses.

```
tmp <- nQuran
tmp$VerseI <- NULL
tmp$vletters <- NULL
tmp$text <- NULL
knitr::kable(head(tmp), booktabs = TRUE,
caption = 'Table head of numbered verses of Quran.')
```

chapter | verse | vwords |
---|---|---|

1 | 1 | 4 |

1 | 2 | 4 |

1 | 3 | 2 |

1 | 4 | 3 |

1 | 5 | 4 |

1 | 6 | 3 |

```
knitr::kable(tail(tmp), booktabs = TRUE,
caption = 'Table tail of numbered verses of Quran.')
```

chapter | verse | vwords |
---|---|---|

114 | 1 | 4 |

114 | 2 | 2 |

114 | 3 | 2 |

114 | 4 | 4 |

114 | 5 | 5 |

114 | 6 | 3 |

And, here is the proof.

```
x<-nQuran
tmp <- x$chapter + x$vwords
tmpr <- rev(tmp)
head(tmpr)
```

`## [1] 117 119 118 116 116 118`

`tail(tmpr)`

`## [1] 4 5 4 3 5 5`

```
tmpr <- paste0(tmpr, collapse = "")
as.bigz(tmpr) %% 19
```

```
## Big Integer ('bigz') :
## [1] 0
```

`cat("number of digits on this big number is", nchar(tmpr))`

`## number of digits on this big number is 12579`

As we see the remainder is 0 and thus the number is under the 19 based coding system of the text of Quran. We can only use the default test as we are testing the order of rewriting as well.

You can access this big number from the following link:

https://github.com/quran2019/Quran19/blob/master/6.3.1_Bignumber

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 "12579" digits length big number:

"1171191181161161181181181181171171171161141161161141151171161171171151131141141141131131121111111091101121091121111111131101101081081091091101121071071081071081081081081081121071041071061041071061051051041031051031051051051051061051031021051041071041041041031031021021021051051051031021031021031191071141141091011041101021061031021021019898991021011009910199991009910010199991001019999104991019897979797989897979798979797969697979898969494979896949596959695989494969494969596959594989894949595949494949494949393969399949396929493929294959496959394949192949393949498949593939494991009294929392949592959592919190929192929192929292949090909191929190919494929190919290929091919193918990918996909090909091908889898989899289909190909288908888898990878988888889899999959491898888878788938788889088888787879089898687908888899387888787878986898789898791878689878886878585878990878991909087868587898885888889859188878685868685848586888689878585858589868683868685848487858484838485848484848484848484848484848482848283868282858383828282828384848485848383848484828282838383838284848383848483828884828384838883828283848382818383838285858483818281828385848583828384838481828182818181818194879288838480808081838281838081848180828282848380828381828181818080828180828180818083808280818380828082828081818080818383838084798180808081828080808080827980808080808080797979797986878585848381858284898385808281848286818483868383838482838687828080818079788078797978787879807878787779797979817880817978807877787980818079798577777983777779787778787879787677777981767777777613177767878767980777776787777767978777678787878787677767676767715182798179848178777980827979817879787776858579838388848080828082807782868381858580818382798181858681818379847484757676767879747780757778758576788976788579797878777578757574757475778074757674727575727474747274727376737279747374727373817474747372737472757372747375767372737374747475767271727373738077717273747875787472757575767575748475737373717073807378797375737879777672807373727174767874737475717372747175707075707871757372727173727179707072737372778082807674757979798282757978817476767278858075747977857876839093781127889838795778190998272799097799386951076976807283737580759174828077787375817484818083817785747580837784807180857270837497707876737572779385727070728099811168181757973112737310976787277696977697670827175878290779684727173100701096766737573686877828189757896105737684798176797996718569727882967769708572778479699474727269659366686660615859626162606160616359606060606059596160606162606263605958626159626563615960605960596161616058656161605959615959585858595860585858585961606260595860596161605959595959585861615959596058595961596159615959595859595958595659585960595859645964596059585957596059606159615963596159635972595959655961595961595959595859595961605959605861595958585757575660595859606059635960585963615961575963596163586162585862615963645761586063606158606059635959636262625961606158565556575955585756556256575757575758575757575759585660585656846969646962715657785757565659585856565757585858565656565857585657626261596161595759576159596058586058596061585957596057715958605764585858575555565656545454555453586058605756565764625958555659585959605858575958585755565756596060565760576056555556545760565856555653555554545453535353635956575755626363655655575655595858606054565662565659585864605954575855605561625959576153596865677670818959795677676158667265102627676886760606266556775767962576885735653566967675263537753605962586855595857546263545457597461625371916061695863555357515085656555736468646166646356786064595871735563746491555962657070716055647561524753536159566757585659556361666958625260586958565961595664565949576554515146474951544948494749504951494648464752544952515649524751505151524848474950495049505353525050505150495049545251504952464549515156565451515154485052494949495058484852505354526050535153575247495054546150555650555649515049545255505455486068535252504852505764545158555255505247635455545350514951504945445769645357696358696250575156485352595149574856525855595454647166646451645360767280556157586164546152524343536058547352536952597158545067635360525258544557605755515266525061595349465560666450605756555049575848484542575255654652497254485157474646495052706054614752605351535263524448505156535259535052625550635249635063705647545167795358594746537055465553555648545553555256675061535446415655594873485461564553465048505349514854555260545450615064565750536557474975515451474754464358465051495273597059495251565845484448616373707562557249454243484542424242424444434853444247474647414245494444484949484242424345434245434446434346524844494445424246534744494445475154694770536145444345494648454546444845534850464848444241404340414339404141404241414340404043424140414147424139414141424342414342414342414142414041404141414141414141404242424141414141404041424247424140404140424441416540424342444141404141434040414142434241404141424141424241424142414142444341434143414243404342424144414442404144404240404041414341424347414241434742434241414044444443444139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#### 8.1.1.2 Fact: Rewriting Quran based on words and chapters at chapter level numbers

In this fact, Evidence 8.1.1.2, the text of Quran will be rewritten with respect to chapter indexes and number of words per chapter. Note that we already observed the same rewriting coding patterns exist in the verse level data in Evidence 8.1.1.1. In this section, we witness the same coding exist in the chapter level data too.

Basically, for each of the 114 chapter considering the text type of 6236 numbered verse of Quran, we first **sum** the chapter index and the number of words of each chapter, which gives us the representation number of each of the 114 chapters. Since this is rewriting evidence, as usual, we place the representation numbers in place of each chapter in the text of Quran. Since Arabic is written from right to left, the representation number of the first chapter will be at the most right position. As the main approach of this book, we then concatenate these 114 representation numbers and get the single meaningful representation number of the text of Quran. As you will remember, this approach was also used and had worked at verse level in Evidence 8.1.1.1. Therefore, it shows a particular pattern.

Let me first remind the numbers by presenting the head and tail of the table of the numbers at the chapter level.

```
tmp <- dfVCwl
tmp$cletters <- NULL
knitr::kable(head(tmp), booktabs = TRUE,
caption = 'Table head of the chapters regarding numbered verses of Quran.')
```

Chapter_index | Verse_sum | cwords |
---|---|---|

1 | 7 | 29 |

2 | 286 | 6140 |

3 | 200 | 3501 |

4 | 176 | 3763 |

5 | 120 | 2837 |

6 | 165 | 3056 |

```
knitr::kable(tail(tmp), booktabs = TRUE,
caption = 'Table tail of the chapters regarding numbered verses of Quran.')
```

Chapter_index | Verse_sum | cwords |
---|---|---|

109 | 6 | 27 |

110 | 3 | 19 |

111 | 5 | 23 |

112 | 4 | 15 |

113 | 5 | 23 |

114 | 6 | 20 |

And, here is the proof.

```
x<-dfVCwl
tmp <- x$Chapter_index + x$cwords
tmpr <- rev(tmp)
head(tmpr)
```

`## [1] 134 136 127 134 129 136`

`tail(tmpr)`

`## [1] 3062 2842 3767 3504 6142 30`

```
tmpr <- paste0(tmpr, collapse = "")
as.bigz(tmpr) %% 19
```

```
## Big Integer ('bigz') :
## [1] 0
```

`cat("number of digits on this big number is", nchar(tmpr))`

`## number of digits on this big number is 367`

As we see the remainder is 0 and thus the number is under the 19 based coding system of the text of Quran. We can only use the default test as we are testing the order of rewriting as well.

Here is the "367" digits length number of this evidence:

"1341361271341291361181321231281371171301371401351921271681291211331631451722281801591471941922521631852132582522583192393302733582982873293694003203543062442392874125065336324354073964133644114234026085896915333908799028351266121677390276681391813364045818471007146611861346921134310751301119513739901601157518606728448661807195718492514125033483062284237673504614230"

##### 8.1.1.2.1 Fact: Rewriting Quran with words and chapters numbers at chapter level with digit sum

In the previous fact, we observed rewriting of Quran when chapter and word numbers at the chapter level data is summed over the 6236 numbered verses. Interesting enough, the same coding pattern exist in all the 6348 verses as well with a single difference. Instead of using sum operation, if we use digit sum operation we observe the similar rewriting with 19 based coding as follows:

```
x<- dfVCWL
tmp <- paste0(x$Chapter_index , x$cWords)
tmp <- sapply(tmp, digitsum)
tmpr <- rev(tmp)
head(tmpr)
```

```
## 11424 11327 11219 11127 11023 10931
## 12 14 14 12 7 14
```

`tail(tmpr)`

```
## 63060 52841 43767 33505 26144 129
## 15 20 27 16 17 12
```

```
tmpr <- paste0(tmpr, collapse = '')
as.bigz(tmpr) %% 19
```

```
## Big Integer ('bigz') :
## [1] 0
```

`cat("Number of digits on this big number is", nchar(tmpr))`

`## Number of digits on this big number is 224`

Here is the "224" digits length number of this evidence:

"12141412714141910151513869223423282517202323232531282518162223181928312826271916201412272226272522231812202433332524222117192228272629241619242910233033232531172118143021201816151718201831302228192024291717212122152027161712"

##### 8.1.1.2.2 Fact

In the end of the related two evidences, Evidence 5.2 and Evidence 5.5, we had observed a fact, Fact 5.5.2, between the digits length of these two evidences that share the same pattern. I tested whether a similar fact exist between the current two related evidences, Evidence 8.1.1.1 and Evidence 8.1.1.2. I observed a similar 19 based coding fact between the two as well.

As I mentioned before, these two evidences, Evidence 8.1.1.2 and Evidence 8.1.1.1, share the same pattern and thus related. The relation between both of the numbers of the two evidences is as follows. The tested number of Evidence 8.1.1.2 is 367 digits in length. The tested number of Evidence 8.1.1.1 is 12579 digits in length.

The **fact** is that, when we concatenate both of the digit lengths of these numbers, we get 36712579 and it is also multiple of 19 as if they complement each other.

### 8.1.2 Fact: Harmony among Chapters and Words

Following the observation of Evidence 5.2, I decided to revisit the relation of the words separately with chapters and verses as well. I observed that there is also similar design pattern to Evidence 5.2 between chapter indexes and number of words in each chapter. All the technical descriptions is same as in Evidence 5.2, except in this evidence, we remove the verse sums and only look at the harmony between the chapter indexes and the number of words in each chapter. We basically used the default coding patter, where we concatenate the natural numbers in the natural order.

Let me give the natural numbers of Quran at the chapter level to remind you the numbers we will use in this evidence.

```
x<- dfVCWL
knitr::kable(head(x), booktabs = TRUE,
caption = '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 |

Again, for each of the 114 chapters, I first concatenated the chapter index and number of words in that chapter 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 and Evidence 5.2. I will print out this 571 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.

As an interesting fact, the digit length of this big number 571 and 571 is also historically known to be the birth date of of Prophet Muhammad.

Back to the main point, see below for the proof of this evidence.

```
tmp2 <- paste0(dfVCWL$Chapter_index,
dfVCWL$cWords)
head(tmp2)
```

`## [1] "129" "26144" "33505" "43767" "52841" "63060"`

`tail(tmp2)`

`## [1] "10931" "11023" "11127" "11219" "11327" "11424"`

```
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 571`

This fact shows that chapters and words of Quran has a strong 19 based relation too.

Finally, here is the 571 digits length big number:

"1292614433505437675284163060733458124692505101843111950121799138571483415661161848171562181587199752013572111782212832310562413232590026132427116328144229982308213155432376331307348883578236734378693873939118140123041798428644384044350454924664947546485644935750377513645231653364543465535656383575795847959451603566123062181631856424665293662586733768305692647022171231722907320474260751687624777185781787918380137811088285831738411285113866587768896891439086915892759344943195389676973498989940100441014010232103181043710527106211072910814109311102311127112191132711424"

### 8.1.3 Fact: Pairing pattern with Chapters and Words

We already observed many codings exist at the chapter level data between chapter and word as in Fact 8.1.1.1, Fact 8.1.1.2, Fact 8.1.2 and Fact 8.1.1.2.1. Especially in Fact 8.1.1.2.1, we observed that we can also rewrite the text of Quran when digit sum operation is used per chapter level representation number. In this subsection, Fact 8.1.3, I will present a **fact**, which shows that the pairing coding pattern along with the digit sum operation exist at the chapter level data. It suggest further 19 based relation between all the 6348 verses and the numbered 6236 verses of Quran as presented below:

```
tmp1 <- paste0(dfVCWL$Chapter_index,dfVCWL$cWords)
head(tmp1)
```

`## [1] "129" "26144" "33505" "43767" "52841" "63060"`

```
tmp2 <- paste0(dfVCwl$Chapter_index,dfVCwl$cwords)
head(tmp2)
```

`## [1] "129" "26140" "33501" "43763" "52837" "63056"`

```
tmp <- paste0(tmp1,tmp2)
head(tmp)
```

```
## [1] "129129" "2614426140" "3350533501" "4376743763" "5284152837"
## [6] "6306063056"
```

`tail(tmp)`

```
## [1] "1093110927" "1102311019" "1112711123" "1121911215" "1132711323"
## [6] "1142411420"
```

```
tmp <- paste0(tmp, collapse = '')
head(tmp)
```

`## [1] "12912926144261403350533501437674376352841528376306063056733457334181246812429250592505101843101839111950111946121799121795138571385314834148301566115657161848161844171562171558181587181583199751997120135720135321117821117422128322127923105623105224132324131925900258962613242613202711632711592814422814382998229978308213081731554315503237632372331307331303348883488435782357783673436730378693786538739387353911813911774012304012264179841794428644286043840438364435044346454924548846649466454754647542485644856049357493535037750373513645136052316523125336453360543465434255356553525638356379575795757558479584755945159447603566035261230612266218162177631856318164246642426529365289662586625467337673336830568301692646926070221702177123171227722907228673204732007426074256751687516476247762437718577181781787817479183791798013780133811088110482858281831738316984112841088511385109866586618776877288968892891438913990869082915891549275927193449340943194279538953496769672973497309898989499409936100441004010140101361023210228103181031410437104331052710523106211061710729107251081410810109311092711023110191112711123112191121511327113231142411420"`

`tail(tmp)`

`## [1] "12912926144261403350533501437674376352841528376306063056733457334181246812429250592505101843101839111950111946121799121795138571385314834148301566115657161848161844171562171558181587181583199751997120135720135321117821117422128322127923105623105224132324131925900258962613242613202711632711592814422814382998229978308213081731554315503237632372331307331303348883488435782357783673436730378693786538739387353911813911774012304012264179841794428644286043840438364435044346454924548846649466454754647542485644856049357493535037750373513645136052316523125336453360543465434255356553525638356379575795757558479584755945159447603566035261230612266218162177631856318164246642426529365289662586625467337673336830568301692646926070221702177123171227722907228673204732007426074256751687516476247762437718577181781787817479183791798013780133811088110482858281831738316984112841088511385109866586618776877288968892891438913990869082915891549275927193449340943194279538953496769672973497309898989499409936100441004010140101361023210228103181031410437104331052710523106211061710729107251081410810109311092711023110191112711123112191121511327113231142411420"`

`as.bigz(tmp) %% 19 #Test if remaining is 0`

```
## Big Integer ('bigz') :
## [1] 8
```

`cat("number of digits on this big number is", nchar(tmp))`

`## number of digits on this big number is 1142`

Finally, here is the 1142 digits length big number:

"12912926144261403350533501437674376352841528376306063056733457334181246812429250592505101843101839111950111946121799121795138571385314834148301566115657161848161844171562171558181587181583199751997120135720135321117821117422128322127923105623105224132324131925900258962613242613202711632711592814422814382998229978308213081731554315503237632372331307331303348883488435782357783673436730378693786538739387353911813911774012304012264179841794428644286043840438364435044346454924548846649466454754647542485644856049357493535037750373513645136052316523125336453360543465434255356553525638356379575795757558479584755945159447603566035261230612266218162177631856318164246642426529365289662586625467337673336830568301692646926070221702177123171227722907228673204732007426074256751687516476247762437718577181781787817479183791798013780133811088110482858281831738316984112841088511385109866586618776877288968892891438913990869082915891549275927193449340943194279538953496769672973497309898989499409936100441004010140101361023210228103181031410437104331052710523106211061710729107251081410810109311092711023110191112711123112191121511327113231142411420"

### 8.1.4 Fact: Chapters and Words at the total level

There is also this coding exist between chapters and words at the total level. It may or may not be coincidence but I show it here as a fact.

There are 114 chapters and 77797 words considering 6236 verse or 114 chapters and 78245 words considering all the 6348 verses. We observe the pairing coding pattern on these numbers as 1147779711478245 is multiple of 19.

## 8.2 Fact: All the numbers

This fact shows that **all** the 9 descriptive numbers of the text of Quran have a 19 based coding relation of the text of Quran. The two evidences, Evidence 7.3.1 and Evidence 7.2 are inherently in harmony together and they are under 19 based designed together. Because although they are independently under 19 based design, they are interdependent and if anyone of them was different then the other could be also different. On the other hand, his **fact* shows that thre is an additional relation between the two evidences.

According to the general rules as described in Chapter 4, we can combine those combined numbers by concatenating in any possible directions. Because each combined number represent one of the two categories that are comparable and we might expect a meaningful relation. In this case, to combine the two numbers of Evidence 7.3.1 and the single number of Evidence 7.2, we have 4 combinations as follows:

\[c, v, w, l, c, V, W, L, u, U\] \[1146236777973307091146348782453328371487080068\]

\[u, U, c, v, w, l, c, V, W, L\] \[1487080068114623677797330709114634878245332837\]

\[c, V, W, L, c, v, w, l, u, U\] \[1146348782453328371146236777973307091487080068\]

\[u, U, c, V, W, L, c, v, w, l\] \[1487080068114634878245332837114623677797330709\]

Since both of the categories are independently divisible by 19, it is also *expected* to have the concatenated numbers to be divisible by 19. Therefore, there is really no need to prove here again that those four numbers are divisible by 19.

Since the Fact 8.2 is a result of concatenation of two categories, where both of them are divisible by 19, I tested another interesting coding that may independently suggest relation between them. Therefore, I hypothesized a further evidence that breaks the mathematical connection between the two numbers. How can we break the mathematical connection between the numbers of the two categories. The only way we can make sure the two numbers concatenated and do not have to be multiple of 19 is by considering their digit sum. In that case, instead of the all the four number combinations presented above, we have a single number to be tested. Basically, the digits sum of the first category numbers and the digit sum of the second category number are concatenated. This gives a single number but since we concatenate in both directions, we get two numbers to be tested.

Just to make sure, the digit sum of the numbers are not multiple of 19 individually, let's first see the digit sum of the unique number category (1487080068), which is 42. As we see it is not multiple of 19. Therefore, the concatenation of this number with the other category does not have to be multiple of 19. This means we break the mathematical connection and there is no room to argue on the harmony between the unique numbers and the other four main descriptive numbers.

Also, here is the digit sum of any one of the 4 numbers of the 4 descriptive numbers (for example digitsum("114623677797330709114634878245332837")) is, 161.

As you see, none of the two digit sum numbers are multiple of 19. This breaks down all the connections to 19. Now, we concatenate them and observe that the concatenation is also divisible by 19.

`as.bigz(42161) %% 19`

```
## Big Integer ('bigz') :
## [1] 0
```

There is also further fact, as the digit sum of u (unique words) and w (words), is 57, where the number is 1487077797.

## 8.3 Fact: Per letters pairing

In this section, the fact I will present has the same approach of Evidence 7.3.3, but with only letters category levels. In order to simplify the rules and help easier understanding of the overall 19 system, this is assigned as a fact but not as evidences of the over all system. Therefore, this is not computed in the finale probability calculation. While pairing, regarding the rules only all the four main descriptive numbers are used but they are not paired alone.

However, facts may be useful to see some available connections and might help further develop the presented system in the future. They might also be helpful to answer some questions about some special cases that might arise in the future.

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 fact, which is merely based on number of letters per verse in both text types together. In this fact, similar to the general approach in Evidence 7.3.1, Evidence 7.3.2 and also Evidence 7.3.3, 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 indexes
head(tmp)
```

`## [1] "1919" "1818" "1212" "1212" "1919" "1919"`

`tmp1[6235:6238]`

`## [1] 19 20 18 16`

`tmp2[6235:6236]`

`## [1] 20 13`

`tmp[6235:6238]`

`## [1] "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`

## 8.4 Fact on the order of each words with letters

Evidence 6.6.1 was the most direct approach to show that the sizes and orders of verses of the text of Quran are correct and intact. Since we tested the special verse indexes, we should also test the other three categories of the text that we observe at the verse resolution. This means at chapter, word and letter levels as well. This provides another 6 numbers to be tested. Moreover, as a global rule in this book, we never test words alone and they must be accompanied with other information at all times. This is a global pattern I observed and set as a general rule.

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.')
```

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.')
```

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 |

I will now perform the test with only words and letters together. This represents the word as we cannot use word numbers without letter information as a general rule. Additionally, since we respect the order while concatenating, the verse and chapter orders information are also implicitly considered in this test. Here, we do not use the verse indexes 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)
```

`## [1] "419" "418" "212" "312" "419" "319"`

```
tmp <- paste0(tmp, collapse = '')
as.integer(as.bigz(tmp) %% 19)
```

`## [1] 0`

`cat("number of digits on this big number is", nchar(tmp))`

`## number of digits on this big number is 22999`

I could test this hypothesis also in the numbered verses (nQuran object) as well and thus we have one out of two success in this case. Because we can only use the default divisibility by 19 test as there is order in the tested number. This means we cannot use the optional digit sum test.

Considering chapter and letter numbers as well, in total we could have one success out of 6 possible numbers to test. We had already added verse indexes cases to the global counters in Evidence 6.6.1. Thus, 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 the global counter object so that in the end of the book we can calculate the global probability using the counters.

```
global_tested_nums <- global_tested_nums + 6
global_success_nums <- global_success_nums + 1
```

For the reference, to the best of my knowledge, Evidence 8.4 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 8.4 had been available in another article, then, in such a case, I surely add a citation and update the online version of this book.

## 8.5 Fact: Harmony among verse, words and letters

Regarding the general rules, we do not look at the combinations among the four main descriptive numbers. Therefore, I present this successful test as a fact for information. We will not include this in the probability calculations.

We will perform similar approach to Evidence 6.6.1 but with special verses, words and letters together in finest text resolution, as follows.

```
x<- nQuran
tmp <- paste0(x$verse, x$vwords, x$vletters)
head(tmp)
```

`## [1] "1419" "2418" "3212" "4312" "5419" "6319"`

```
tmp <- paste0(tmp, collapse = '')
as.character(as.bigz(tmp) %% 19)
```

`## [1] "0"`

`cat("number of digits on this big number is", nchar(tmp))`

`## number of digits on this big number is 35134`

There is also additional **fact** that complement the previous fact. The above fact exist in the 6236 numbered verses. The similar pattern also exist in all the 6348 verses. This time, we also compute the digit sum of each representative numbers of each verses before concatenating them as follows.

```
x<- unQuran #6348 verses
tmp <- paste0(x$verse, x$vwords, x$vletters)
head(tmp)
```

`## [1] "1419" "2418" "3212" "4312" "5419" "6319"`

```
tmp <- sapply(tmp, digitsum) # digit sum of each verse
tmp <- paste0(tmp, collapse = "")
digitsum(tmp) %% 19
```

`## [1] 0`

`cat("number of digits on this big number is", nchar(tmp))`

`## number of digits on this big number is 12517`

As we observed, in both of the text category of Quran, we observe 19 based relations as fact among verse indexes, number of words and letters.

## 8.6 Facts: on individual categories

As I described in the rules in Chapter 4, we do not test the descriptive numbers alone within their own category. However, in this section, I will present some interesting individual examples as facts but not as evidences of the general system.

### 8.6.1 Fact: The Chapters

\[c\]

\[114\]

The number of chapters in Quran is 114 and it is divisible by 19. Among all the others, Fact 8.6.1 looks the most obvious one and easiest to count even manually. However, it is still an interesting fact of the text of Quran regarding 19 based coding system. Because it stands as an important clue that leads to the 19 system of the text.

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 Fact 8.6.1 is available in Chapter 3.4 as the computational proof of Fact 8.6.1. The unique number for the total number of chapters was denoted by the letter *c* in Chapter 3.4 in this book to refer it whenever it is used.

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.

### 8.6.2 Fact: 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 3.7.1. A reproducible test is provided in Chapter 3.4 for anyone who wish to reproduce these numbers. When we 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**. It is easy to calculate but lets use the *digitsum* function again and save some time as follows:

```
tmp <- paste0(v, V, collapse = '')
tmp
```

`## [1] "62366348"`

```
tmp1 <- digitsum(tmp)
cat("The sum of the digits is:", tmp1)
```

`## The sum of the digits is: 38`

Fact 8.6.2 incorporates both of the verse numbers and show that they are related to each other regarding 19.

## 8.7 Fact: Others

In this section, I present some interesting tests that are not within the general rules but presented as relevant information.

If I do not observe a systematic pattern and can not set rules, I do not take individual interesting examples as evidence. 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 within the overall 19 based system. Another reason I record some interesting tested 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 later and 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 an interesting 19 divisible tested number as an interesting **fact**.

### 8.7.1 Fact: Totals

This fact is about 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)
knitr::kable(head(nQuran), booktabs = TRUE,
caption = '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.')
```

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 them 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"
```

`## [1] "6555623677797330709"`

```
tmp <- paste0(tmp,tmps)
tmp #"6555623677797330709421297"
```

`## [1] "6555623677797330709421297"`

```
#combine both text type sums by concatenating as usual
x<- paste0(tmp,tmp2)
x #"65556236777973307094212976555634878245332837423985"
```

`## [1] "65556236777973307094212976555634878245332837423985"`

```
#Tests
as.bigz(x) %% 19 # 0
```

```
## Big Integer ('bigz') :
## [1] 0
```

`digitsum(x) %% 19 # 0`

`## [1] 0`

`#represent 3/4 success considering both ways`

The fist column (Chapter_index) in the table is for the indexes of chapters (1 to 114) and the sum of these indexes, **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.

### 8.7.2 Fact: Relation between chapters and Verses

This fact is about the harmony between the chapter indexes and their corresponding total verses. The sum of chapter indexes (from 1 to 114) is 6555 and the sum of verses in these chapters are 6236. When concatenated, it provides 62366555 as the number to be tested. The digit sum of this number is 38, which is 2x19.

If you go over web sites regarding 19 system on the text of Quran, like amazing19.com, you see that they all sum the number of indexes from 1 to 114 and mention 6555 that itself is divisible by 19. 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 fully aligned with my defined system of this book in general, I present this observation as a fact.

### 8.7.3 Fact: Relation between general verse indexes and letters

In this fact, I present the potential relation between the general verse indexes and and letters. Word number is as always not tested alone regarding the general rule. This evidence again mimics the rewriting approach and concatenates from right to left for all the two pairs. This evidence uses the optional digit sum test and not aligned with the rules of the evidences as the number is ordered.

```
## General verse indexes and letters
# 2 possible numbers; one test
x<- data.table(unQuran)
#The order of both is not matter as digit sum test has passed
tmp <- paste0(x$VerseI,x$vletters)
tmpr <- rev(tmp) # The reverse and othwer way both works as digit sum test has passed.
tmpr <- paste0(tmpr, collapse = '')
as.integer(digitsum(tmpr) %% 19)
```

`## [1] 0`

`cat("number of digits on this big number is", nchar(tmpr))`

`## number of digits on this big number is 37592`

### 8.7.4 Fact: Relation between letters digit sum at chapter level

This fact presents the 19 based relation of the total number of letters per chapter in all the text of Quran.

```
# Evidence on chapter level letters
tmp <- dfVCWL$cLetters
tmp <- paste0(tmp, collapse = '')
digitsum(tmp) %% 19
```

`## [1] 0`

`cat("number of digits on this big number is", nchar(tmp))`

`## number of digits on this big number is 410`

### 8.7.5 Fact: Relation between words and letters along with chapter indexes

This fact presents the 19 based relation between the number of words and letters in each verse along with chapter indexes in all the text of Quran.

```
#As a fact (not as evidence) but not as evidence here,
#Chapters, words and letters
x<- unQuran
tmp <- paste0(x$chapter,x$vwords,x$vletters)
head(tmp) # head of the big number
```

`## [1] "1419" "1418" "1212" "1312" "1419" "1319"`

`tail(tmp) # tail of the big number`

`## [1] "114414" "11428" "11428" "114417" "114520" "114313"`

```
tmp <- paste0(tmp, collapse = "")
as.character(digitsum(tmp) %% 19)
```

`## [1] "0"`

`cat("number of digits on this big number is", nchar(tmp))`

`## number of digits on this big number is 34429`

## 8.8 Further facts on Allah and Al-Rahman word positions

In the following subsections, I will presents some interesting coding examples as facts with respect to Allah and Al-Rahman word positions.

### 8.8.1 Fact on Allah and Al-Rahman word positions when paired

In this fact, I will demonstrate that the chapter and the special verse indexes of the verses which includes Allah words and the verses which includes Al-Rahman words are together also under 19 based design. Basically, we will pair those indexes. The pattern of this fact is similar to what I presented in Evidence 7.3.2 and Evidence 7.3.3. In this sub-chapter, we will witness that the same coding pattern exist between the indexes of Allah and also Al-Rahman words.

```
# yunQ is for Allah word from all verses
# yunQ2 is for Al-Rahman word from all verses
tmpdf1 <- yunQ
tmpdf2 <- yunQ2
x<- tmpdf1
tv <-c()
for(j in 1:nrow(x)) {
if(x$verse[j] != 0){#for all the numbered verses
tmp <- paste0(x$Chapter[j], x$verse[j])
}else{#For unnumbered Basmala verses
tmp <- paste0(x$Chapter[j] )}
tv <- c(tv,tmp) }
length(tv)
```

`## [1] 1678`

```
tmpa <- tv
#
x<- tmpdf2
tv <-c()
for(j in 1:nrow(x)) {
if(x$verse[j] != 0){#for all the numbered verses
tmp <- paste0(x$Chapter[j], x$verse[j])
}else{#For unnumbered Basmala verses
tmp <- paste0(x$Chapter[j] )}
tv <- c(tv,tmp)}
length(tv)
```

`## [1] 157`

```
#Pair both vectors
tmp <- paste0(tmpa,tv)
#concatenate all the numbers
tmp <- paste0(tmp, collapse = "")
as.bigz(tmp) %% 19 #test for 19
```

```
## Big Integer ('bigz') :
## [1] 0
```

`nchar(tmp)`

`## [1] 10313`

You can access this 10313 digits length big number from the following link:

https://github.com/quran2019/Quran19/blob/master/Fact_7.3.3.txt

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

### 8.8.2 Fact on Allah word positions and frequencies with concatenation

In this fact, I will show that the general verse indexes, the chapter indexes, the verse indexes and Allah word counts have also relation in the numbered verses of Quran with respect to their concatenations as follows.

In this fact, we concatenate the general verse index, the chapter index and the number of Allah words in that verse. For example, the first Allah word in the numbered verse of Basmala verse in the first chapter (Al-Fatiha), which has also the first general verse index. Thus, we get this representative number for it after concatenating in the natural order: 111. Similarly, the following verse with Allah word is at the general verse index 14 and in the second chapter with one Allah word. Thus, we get this 1421 as the representative number for it by concatenating in the natural order. This is done for all the verses with Allah words in it. Then we concatenate all of these representative numbers with each other in the normal order of the table. Then we get 9742 digits length big number and it is multiple of 19. Here is the proof of this test:

```
y <- ynQ #ynQ is from 6236 verses
head(y)
```

```
## Gen_verseI Chapter verse countW
## 1: 1 1 1 1
## 2: 14 2 7 1
## 3: 16 2 9 1
## 4: 17 2 10 1
## 5: 22 2 15 1
## 6: 24 2 17 1
```

```
tmp<- paste0(y$Gen_verseI, y$Chapter,
y$countW)
# head side of numbers of each verse
head(tmp)
```

`## [1] "111" "1421" "1621" "1721" "2221" "2421"`

```
tmp <- paste0(tmp, collapse = "")
as.bigz(tmp) %% 19 #mod 19 must be zero
```

```
## Big Integer ('bigz') :
## [1] 0
```

You can access this 9742 digits length big number from the following link:

https://github.com/quran2019/Quran19/blob/master/Fact_7.7.4.txt

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

### 8.8.3 Fact: General verse indexes, Chapter and Special verse indexes

In this **fact**, I will show that the general verse indexes, the chapter indexes and the special verse indexes in each chapter with Allah words in it have also 19 based relation in all the verses.

This fact concatenates each general verse index, chapter index and special verse index that have Allah words in it considering all the 6348 verses. We then concatenate each of these representation numbers in its natural order. The resulting 12126 digits length big number is multiple of 19.

```
x<- yunQ #all 6348 verses
tv <-c()
for(j in 1:nrow(x)) {
if(x$verse[j] != 0){#for all the numbered verses
tmp <- paste0(x$Gen_verseI[j], x$Chapter[j], x$verse[j])
}else{#For unnumbered Basmala verses
tmp <- paste0(x$Gen_verseI[j],x$Chapter[j])
}
tv <- c(tv,tmp)
}
# head side of numbers of each verse
head(tv)
```

`## [1] "111" "82" "1527" "1729" "18210" "23215"`

`tail(tv)`

`## [1] "6325111" "6331112" "63321121" "63331122" "6336113" "6342114"`

```
tmp <- paste0(tv, collapse = "")
as.bigz(tmp) %% 19 # mod 19 must be zero
```

```
## Big Integer ('bigz') :
## [1] 0
```

```
cat("number of digits on this
big number is", nchar(tmp))
```

```
## number of digits on this
## big number is 12126
```

You can access this 12126 digits length big number from the following link:

https://github.com/quran2019/Quran19/blob/master/Fact_7.7.5.txt