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The Prime-Index Mathematics, Generator of the Quran

After reading and studying these mathematical facts, the sincere reader will conclude that the Quran is the literal embodiment of the Prime-Index Mathematics and that it can only be authored by God alone.

The Quran, with its profound message of “There is no god but God”, advocates worship of God alone. Therefore, the guarded tablet, as asserted by God in verse 85:22 of the Quran, is eternal even if the galaxies collide or the Multiverse expires. Hence, damaging or burning the ink and paper version of the Quran, done by the ignorant, will not affect anything in the least.

– Ali R. Fazely

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The 19th Quadruple Primes

4/11/25

  • The 19th Quadruple primes are derived from the 19th Twin TPCs (19422, 19428).
  • There four primes obtained from these two numbers, namely, (19421, 19423, 19427, 19429).
  • The only prime in the above list having a digital sum of 19 is 19423.
  • The pair 19423 and 19427 are called Cousin Primes and their index is 341.
  •  34111 × 31
  • 1131st Prime is 9127.
  • 19429 is 2202nd Prime number. 
  • 2202 = 2 × 3 × 367
  • The indices of these Prime number factors are 1 2 73.
  • 1273 is the Frequency of the word God in 9:127.
  • 19429 is part of the 673rd Sexy Prime
  • 673rd Regular Prime is 9127.
  • 160th Ulam Prime is 19429.
  • 160th Prime is 941.
  • 941st Composite is 1131.
  • 1131st Prime is 9127.

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Additive Primes and their Indices

These primes are of the type that the sum of their digits also add up to prime number. For example, 23 is an additive prime since 2 + 3 = 5 is a prime, but 19 is not an additive prime because 1 + 9 = 10 is a composite.

Table of Additive primes*

IndexAdditive Prime
12
23
35
47
“ 
1267
“ 
19139
42359
5489127


In the above table we see that the 19th additive prime is 139 and 139 is the number of letters in the first chapter in the Quran called the “Opener”. The 42nd additive prime is 359 which is actually the 19th “Emirp”. We do have the following relation.

19 × 42 = 798 which is the frequency of K, Ha, Ya, Ain, S is sura 19.

The 548th additive prime is 9127 and the 548th composite is 670. A look at the number of verses in the un-initialed suras in the Quran reveals that 670th such verse is 9:127.

Generators of the Quran

The 19th emirp which is 359. Verse 3:59 is where God tells us about the similarity between the creation Adam and Jesus.

Now we look at each single digit in 359, namely 3, 5, and 9. The primes corresponding to these indices are 5, 11, and 23. The digital properties of being the indices of primes are independent of the order of 3, 5, and 9. Since 953 which is the emirp of 359 has exactly the same property of 359. Recall that 953 is the index of 1143 = 9 × 127.

Multiplying these primes yields;

5 × 11 × 23 = 1265

Properties of 1265 are through the “inter-index” relations. Let us look at the following table.

Index of Lonely PrimeIndex of PrimePrime/Lonely Prime
1265182015607


Here 1820 is the number of verses where the word God is mentioned in the entire Quran.

Analysis of 1820 in terms of indices of prime yield the following.

IndexPrime
12
819
2071


The product of the 3 primes on the right column of above table reveals the following Quranic fact.

2 × 19 × 71 = 2698

2698 is the frequency of the word God in the entire Quran. Note these counts are all consistent with 9:127.

Generators of the Quran

The generators of the Quran based on primes and their indices generate only those verses revealed by God and were witnessed by at least two persons. These verses are 6234 numbered verses and 6346 total verses. This does not generate the two verses purportedly witnessed by Khuzaima Ibn Thabit Al-Ansari, namely 9:128, and 9:129.

The 3488th revealed verse is 9:127. The following table reveals the following Quranic fact.

Index of Gaussian PrimeIndex of PrimePrime / Gaussian Prime
1754348832503


From the above table, we see the inter-index relations again. 1754 is the number of Composite-numbered verses from the beginning of the Quran to 19:98.

Recall that 1754 is generated from the following table.

IndexPrimeComposite
196730


6719 is the 867th prime number and we have the following table.

Index of Lonely Gaussian PrimeIndex of Lonely PrimeLonely PrimeLonely Gaussian Prime
867175422447


Note, the composite-numbered verse 19:98 is generated by the prime 67 and index 19. Recall that 1998th composite is 2346 and 2346 is the number of verses from 1:1 to 19:98. Furthermore, the 19th permutation of 2346 is 6234, which is the total number of numbered verses in the Quran.

The two False Verses and the Proof of 9:127

In the above exercise, let us count 9:128, 129 and see what happens?! The number of revealed verses become 3490. Let us look at the following table.

Index of Gaussian PrimeIndex of PrimePrime/Gaussian Prime
1756349032531


If we do this, then we would find the verse 19:98 is the 1756th composite-numbered verse. Now let us look at the Lonely Primes (LP) and see where the indices of these lonely primes in the domain of Gaussian Primes (GP) and Twin Gaussian Primes (TGP) are. We show these in the following table.

Index of TGPIndex of GPIndex of LPLP/GP/TG
3412417349046507


Now the keys of exposing the errors of 9:128,129 are the two indices 341 and 2417

341 = 11 × 31

But 1131st prime is 9127!

2417 is the 9th permutation of 2147 which is total number of the frequency of H.M. in the 7 H.M.-initialed suras 40-462417 is a prime number and its index is 359 which is 19th emirp with the emirp 953. Recall 953rd composite is 1143 and;

1143 = 9 × 127!

The Number of Initials in Chapter 2 Generate 9:127

Let us look at the 19th positional additive prime. The following tables the best way to explain it.

IndexIndex of Prime + PrimePrime
1998 + 521619

  • Chapter 19 has 98 verses.
  • 19 is the 8th prime and chapter 98 has 8 verses.
  • 619 is the 114th prime number and 114 is the number of chapters inthe Quran.
  • 19 × 521 = 9899 is the frequency of A, L, and M in chapter 2.


The last bullet is the key to generate 9:127. Here we note that both 19 and521 are also twin primes; remember two witnesses! The 7th individual twin prime is 19 and the 48th individual twin prime is 521.

The 748th lonely prime is 9127!

Now let us analyze 748! First we note the digital sum of 748, i.e. 7 + 4 + 8 =19. Furthermore, the digital sum of 9127 is; 9 + 1 + 2 + 7 = 19. We also note that 9127 is the 19th group element is the following table of the Permutation group elements.

IndexElement
11279
21297
31729
41792
51927
61972
72179
82197
92719
102791
112917
122971
137129
147192
157219
167291
177912
187921
199127
209172
219217
229271
239712
249721


Now we factor 748 into its prime constituents.
748 = 2 × 2 × 11 × 17

The indices of these primes are, 
1 1 5 7

This number is a bi-prime and its index is 341 and we have; 
341 = 11 × 31
But, 1131st prime is 9127!

Revisiting 9127 Permutation properties

Let us revisit the permutation group properties of 9127

IndexElement
11279
21297
31729
41792
51927
61972
72179
82197
92719
102791
112917
122971
137129
147192
157219
167291
177912
187921
199127
209172
219217
229271
239712
249721


We shall see that the 9th group element is directly generated from 19 and that again it generates 9:127.

First recall that the 19th tri-prime is 78 and that 19 × 78 = 1482 which is the frequency of A, L, M, R is chapter 13 in the Quran. However, the 78th Super Prime number is 2719. Let us go to 27:19 and note the fact that it is a verse in an initialed chapter.

3176 1708 1842 953 781 27:19 – He then smiled and laughed at her statement and said; my Lord make me be appreciative of Your blessings that You have bestowed upon me and my parents and do righteous deeds that pleases You, and admit me into Your mercy along with Your righteous servants.

Note the underlined number is the order of the revelation of verse in the initialed chapters, 953. However, 953 is the index of composite 1143 = 9 × 127, which again points to 9:127.

The 19th “Emirp”, 359

As we have seen the 19th “emirp” is 359 and it immediately generates 953 which is the index of composite 1143 = 9 × 127. The 19th “emirp”, 359, assuming that it is written in base 19, would yield the following.

35919 = 118710

We should recall that 1187 is the 114th lonely prime and it is the index of prime number 9619. Remember chapter 96 which was the first chapter revealed has 19 verses. Also 9619 happens to be lonely prime as well and its index is the 790790th verse containing the word “God” from the beginning of the Quran is 9:127. We also have the following if we assume 790 is in base 19.

79019 = 269810

2698 is the number of word God in the entire Quran.

We can also write the following in these cross bases formalism. Recall the 8th prime number is 19, hence, we can write the following.

35919 = 22438

2243 is the 334th Prime number. If we multiply 19 by 334 we get 19 × 334 = 6346 which is the total number of the verses in the Quran, including the 112 un-numbered “In the Name of God, the All Gracious, the All Merciful”.