The 19th Mersenne Prime and Gaussian Mersenne Prime

3/14/25

• We know that the exponent p, where p is a prime number, of the 19^th Mersenne Prime number of the form MP = 2^p – 1 is 4253. This tells us that chapter 42 has 53 verses.
• Gaussian Mersenne primes: The exponent n for the 19^th such prime is 353 and 353 is the frequency of حم (HhaMeem) in chapter 42.
• Note, the frequency of ح (Hha) is 53. 
• This leaves the number of م (Meem) at 300, but why 300?
• 300^th Composite is 375.
• 375 is the 114^th Odd Composite, and 114 implies the Quran. 
• The 19^th Mersenne prime has 1281 digits (discovered in 1962 by Hurwitz), and it starts with 19079700……………………91.
• We want to see if we can find 797 and 1281 together in the Quran.
• We find them in verse 10:16.
• 797 is the frequency of the verse with the word God, and 1281 is the frequency of the word God.  See below.
• 1378 708 2131 1131 797(1281), 355(560) 10:16 — Say, had God willed, I would have never recited it to you, and you would have never understood it, although I had indeed spent a lifetime among you prior to this. Do you not think?
• Let us look at all the numbers in the above verse.
• We look at 1378.
• The Primes with indices 1  3  7  8 are 2 5 17 19
• The product of these Primes is 3230 and chapter 32 has 30 verses.
• 1378 is the 341^st Tri-Prime.
• 341 = 11 × 31 and 1131^st Prime is 9127.
• The index of Composite 1378 is 1157 (Milan Sulc).
• 1157 is the 341^st Semi-Prime. 
• Again, 341 = 11 × 31 and 1131^st Prime is 9127.
• The Primes with indices 1 1 5 7 are 2 2 11 17.
•  2 × 2 × 11 × 17 = 748. 
• 748^th Lonely Prime is 9127. 
• 708 is the 581^st Composite 581 is the frequencies of the usage of Ta + Seen + Meem in chapter 28.
• 708 is the 353^rd Even Composite.
• 353 is the frequencies of ح + م (Hha + Meem)  in Surah 42.
• 2131 is the 168^th Prime.
• 168^th Semi-Prime is 538.
• 538^th Non-Chen Prime is 9127.
• 1131^st Prime is 9127.
• 355 = 5 × 71.
• The indices of these Prime factors are 3 and 20.
• 320^th Tri-Prime is 1281, the number of digits in the 19^th Mersenne Prime.
• 355^th Odd Composite is 1067.
• 1067^th Composite is 1273.
• 1273 is the frequency of the word God in 9:127. 
• 1067 = 11 × 97.
• 1197 is the frequency of initials الر (Alif + Lam + Ra) in Surah 14.
• 560 is the 19^th Sext-Prime.
• 560 = 16 × 5 × 7.
• 1657₁₉ = 9127₁₀
• 1016 = 2 × 2 × 2 × 127.
• The indices of these Prime factors are 1 1 1 31.
• 11131 is the 1349^th Prime.
• 1349 is the 1131^st Composite.
• 1131^st Prime is 9127.