A prime number is a natural number (1, 2, 3, 4, 5, …) that is divisible only by itself and one. The first few primes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ... All other natural numbers (except 1) are not primes but composite numbers and are simply produced by multiplying prime numbers together (e.g. 4=2*2, 6=2*3, 8=2*2*2, 9=3*3, ...). Prime numbers are therefore considered as the multiplicative building blocks for all natural numbers including themselves.

Until 1899 number 1 was considered prime but was dropped from the list of primes to simplify the fundamental theorem of arithmetic and therefore considered neither prime nor composite but the unit of numbers or the additive building block for all natural numbers (e.g. 1=1, 2=1+1, 3=1+1+1, 4=1+1+1+1, …). The arguments for whether 1 is prime or not are still raging. [http://www.geocities.com/primefan/Prime1ProCon.html].

Around 300BC Euclid, Father of Geometry, [http://en.wikipedia.org/wiki/Euclid] proved that there is an infinite number of prime numbers and 70 years later, around 230BC Eratosthenes [http://en.wikipedia.org/wiki/Eratosthenes] developed a sieve method for finding prime numbers below any number N by sequentially removing all numbers that are multiple of prime numbers below the square root of N.

In 1793 Carl Gauss, the Prince of Mathematics, who once said "Mathematics is the queen of the sciences and number theory is the queen of mathematics." claimed that the ratio of prime numbers within natural numbers decreases natural-logarithmically as numbers go higher and higher [1/ln(N)] but never diminishes, (e.g. 25% in 100, 16.8% in 1000, 7.9% in million, 5.1% in billion, 3.8% in trillion, 3% in quadrillion, …) which turned out to be almost true but not quite true [http://en.wikiquote.org/wiki/Carl_Friedrich_Gauss].

Although the ratio of primes follows some predictable pattern, the distribution of prime numbers among natural numbers has no known pattern but yet seems not random. In 1859 Bernard Riemann [http://en.wikipedia.org/wiki/Bernhard_Riemann] proposed his Riemann Hypothesis to correct the error terms in Gauss’ equation but never include a proof of it and thus the hypothesis remains one of the greatest open questions in mathematics with a $1,000,000 prize to whoever proves or disproves it. [http://www.claymath.org/millennium].

In 1972 Hugh Montgomery and Freeman Dyson [http://seedmagazine.com/content/article/prime_numbers_get_hitched] uncovered a new amazing relationship between the distribution of non-trivial zeros of the zeta function in the Riemann Hypothesis and the distribution of energy states of the electrons in heavy atoms like Uranium.

The Key:

The Holy Quran starts with a chapter appropriately called The Key (الفاتحة) shown below using the standard recitation method of Hefs and the Uthmanic method of writing.

1. In the name of Allah, the Merciful, the Gracious.
    بِسْمِ ٱللَّهِ ٱلرَّحْمَٰنِ ٱلرَّحِيمِ

2. Extol be to Allah, Sustainer of the worlds.
    ٱلْحَمْدُ لِلَّهِ رَبِّ ٱلْعَٰلَمِينَ

3. The Merciful, the Gracious.
    ٱلرَّحْمَٰنِ ٱلرَّحِيمِ

4. Master of the Day of Judgment,
    مَٰلِكِ يَوْمِ ٱلدِّينِ

5. You alone we worship; You alone we ask for help.
    إِيَّاكَ نَعْبُدُ وَإِيَّاكَ نَسْتَعِينُ

6. Guide us to the Right Path:
    ٱهْدِنَا ٱلصِّرَٰطَ ٱلْمُسْتَقِيمَ

7. The path of those whom You bestowed your bounties upon; not of those who have brought upon themselves Your wrath, nor of those who went astray.
    وَلَا ٱلضَّآلِّين صِرَٰطَ ٱلَّذِينَ أَنْعَمْتَ عَلَيْهِمْ غَيْرِ ٱلْمَغْضُوبِ عَلَيْهِمَْ

This chapter consists of 7 verses, 29 words and 139 letters. Not only are these prime numbers but their digit sums (7 = 7, 2+9 = 11 and 1+3+9 = 13) are primes too, and the sum of these digit sums (7+11+13 = 31) is yet another prime. Simply amazing! What’s more, joining these prime numbers left-to-right 729139 and right-to-left 139297 also produces primes. And to cap it all, 729139297 is also prime!!!

All praise and thanks are due to our Glorious Lord for showing us one Way to be nearer to Him and to the Truth in sha Allah.

This is a clear evidence that Bism Allah Ar-Rahmaan Ar-Raheem is verse #1 not just a preface to the chapter and is therefore is mandatory and must be recited at all times, not just at the beginning of prayers.

This also shows that the most common recitation method of Hafs (حفص) through Aasim (عاصم) through Imam Ali bin abi Talib (علي بن أبي طالب) is the correct version and other versions only add noise and distortion to the Word of Allah (swt) and must therefore be eliminated, and Allah knows best.

What this new finding uncovers is a new encoding system based on prime numbers that protects The Message to be used to decode whatever Allah allows us of the Holy Quran and Allah guides those who seek His help. 

The number of letters in each Key verse are 19, 17, 12, 11, 19, 18, and 43.
While 19, 17, 11, 19 and 43 are primes, 12 and 18 are not. However, both can combine with their left or right neighbours to produce new primes as follows:

17+12 = 29      12+11 = 23
19+18 = 37      18+43 = 61

It was therefore suggested that paired verses are meant to complete each other’s meaning as verses 2 & 3 and 6 & 7 do.

Arranging the number of letters in each Key verse right-to-left gives a number that only divides by 19 as follows:
          43181911121719    =       19 * 2272732164301
Quran 74:30 “Over it nineteen” or “عليها تسعة عشر“

The new prime number 2272732164301 has 13 digits with a digit sum of 2+2+7+2+7+3+2+1+6+4+3+0+1 = 40 which refers perhaps to Wisdom Age.

The number 2272732164301 itself is huge and seems very mysterious. I can only think of it as the number of Earth days for something (perhaps the Universe Age): 2272732164301 / 365.25 = 6,222,401,545 or ~6.2 billion years (Universe Age) which disagrees with today’s scientific estimations of 13.6 billion years [http://en.wikipedia.org/wiki/Age_of_the_universe] and Allah is always correct and knows all.

The Message:

Having established that the structure of the Key chapter is firmly built upon prime numbers, attention was turned to the structure of the whole Quran which consists of 114 chapters with different number of verses as follows:

7 + 286 + 200 + 176 + 120 + 165 + 206 + 75 + 129 + 109 + 123 + 111 + 43 + 52 + 99 + 128 + 111 + 110 + 98 + 135 + 112 + 78 + 118 + 64 + 77 + 227 + 93 + 88 + 69 + 60 + 34 + 30 + 73 + 54 + 45 + 83 + 182 + 88 + 75 + 85 + 54 + 53 + 89 + 59 + 37 + 35 + 38 + 29 + 18 + 45 + 60 + 49 + 62 + 55 + 78 + 96 + 29 + 22 + 24 + 13 + 14 + 11 + 11 + 18 + 12 + 12 + 30 + 52 + 52 + 44 + 28 + 28 + 20 + 56 + 40 + 31 + 50 + 40 + 46 + 42 + 29 + 19 + 36 + 25 + 22 + 17 + 19 + 26 + 30 + 20 + 15 + 21 + 11 + 8 + 8 + 19 + 5 + 8 + 8 + 11 + 11 + 8 + 3 + 9 + 5 + 4 + 7 + 3 + 6 + 3 + 5 + 4 + 5 + 6 = 6236 verses.

Although the numbers of chapters and of verses are not prime numbers, with the Grace of Allah, a new idea was born based on Quran 15:87 where Allah (swt) says to the Prophet (pbuh&f):

"وَلَقَدْ ءَاتَيْنَٰكَ سَبْعًا مِّنَ ٱلْمَثَانِى وَٱلْقُرْءَانَ ٱلْعَظِيمَ"
“And We’ve given you seven of the doubles and the great Quran.“

where the seven doubles explained by the Prophet (pbuh&f) as the seven verses of The Key chapter as the word “ٱلْمَثَانِى” can also mean “َثَناءَ” or “praise” which is the subject of The Key chapter in which Allah (swt) teaches us how to approach Him for mercy and guidance after praising and extolling Him sincerely.

As a result, the Quran was considered as two parts: a Key part which consists of The Key chapter and a Message part which consists of the remainder 113 chapters, therefore:
                       Quran     =   Key     +   Message
                       114       =   1       +   113           chapters
                       6236      =   7       +   6229          verses

And God behold, everything was prime. 1, 113, 7, and 6229 are all prime numbers (although 1 is currently considered the Unit which more important than a prime) and their digit sums (1+1+3 = 5, 7 = 7, 6+2+2+9 = 19) are primes too. This suggests that the number of words and the number of letters for the whole Quran could be prime numbers with prime digit sums and Allah knows best.

Currently, all softcopies of the Quran found on the Internet are not authorized by any religious body and have different word and letter counts to each other none of which exhibits the above properties of primes and prime digit sums and therefore cannot be relied upon. I therefore, urgently need an authorized softcopy of the Quran to continue this research in sha Allah even if I have to buy it. Please help!

Chapter Numbers:

The Quran does not assign sequence numbers to chapters, it only assigns names. Chapter sequence numbers are used for easy referencing only and are not part of the Quran. Based on the elegant equation Quran = Key + Message, a new 1+113 chapter numbering system is proposed where The Key remains as chapter #1, and all subsequent chapters making up The Message are given new sequence numbers from #1 to #113.

This new 1+113 chapter numbering system can be scientifically confirmed by matching chapter The Iron (الحديد) which is currently numbered 57 back to 56, , the same value as its atomic weight ~55.845 [http://www.chem.qmul.ac.uk/iupac/AtWt], that’s 56 times heavier than Hydrogen.

Indeed by adopting this 1+113 system, chapter the Unity or Oneness of God (الإخلاص) would get a new sequence number of #111 which is much more in agreement with the meaning of Oneness when compared to its current #112 number. And Allah knows best.

Numerology Systems:

Different numerology systems are in existence and the Abjed one is the most common system used with Arabic and Hebrew text to calculate germinal values. For the purpose of this research however, this system was replaced by a new system that is based on prime values not logarithmic values.

Abjed Numerology System

The Abject numerology system [http://en.wikipedia.org/wiki/Abjad_numerals] assigns logarithmic values to the Arabic letters in the old Abjed order as shown below:

But when this system was applied to the 139 letters of The Key chapter didn’t produce a prime sum but 10143 = 7² * 207 pointing to the seven doubles twice. A positive result but is not relevant to our prime number research into the Quran.
A new system was needed.

Alphabetic Primalogy System

Having failed to find any prime number results with the original Abjed numerology system, a new system was proposed that assigns prime values to the Abjed Arabic letters but even that did not work and instead we used the modern Alphabetic order (not the Abjed order) as shown in the table below to produce the positive results:

Please note that the Arabic language has 28 letters with some variations that currently we consider any standalone Hemza (ء) as an independent letter that precedes all other letters and thus we have 29 letters which a prime number too.

Other variations like elf above letter (ٰ ) is ignored so is floating hamza above line (َٔ ) while short elf (ى), hamza above elf (أ) and below elf (إ) are all considered elf and hemza above waw (ؤ) and above yaa (ئئ) are considered waw and yaa respectively.

However, as we are at the start of this research effort, we reserve the right to change the above replacement system to the most suitable one that gives Primalogy Values (PVs) that are primes and have prime digit sums too.

Further prime-based numerology systems are being explored with, not only Abjed or Alphabet letter orders but also order of letter appearance as suggested by the owners of www.i3gaz.com. Here is a table of the current numerology systems under consideration:

Primalogy Value of The Key Chapter

And God behold everything fell into place when this new Primalogy system applied to the 139 letters of The Key chapter as follows:

بسم الله الرحمن الرحيم (1

    3+37+89  2+83+83+101  2+83+29+13+89+97  2+83+29+13+107+89

الحمد لله رب العلمين (2

    2+83+13+89+19  83+83+101  29+3  2+83+61+83+89+107+97

الرحمن الرحيم (3

    2+83+29+13+89+97  2+83+29+13+107+89

ملك يوم الدين (4

    89+83+79  107+103+89  2+83+19+107+97

إياك نعبد وإياك نستعين (5

    2+107+2+79  97+61+3+19  103+2+107+2+79  97+37+5+61+107+97

اهدنا الصرط المستقيم (6

    2+101+19+97+2  2+83+43+29+53  2+83+89+37+5+73+107+89

صرط الذين أنعمت عليهم غير المغضوب عليهم ولا الضآلين (7

    43+29+53  2+83+23+107+97 2+97+61+89+5  61+83+107+101+89
    67+107+29  2+83+89+67+47+103+3 61+83+107+101+89  103+83+2
    2+83+47+2+83+107+97

Both the total Primalogy Value (PV) is the sum of all the above numbers = 8317 is a prime number and its digit sum is 8+3+1+7 = 19 is also prime number.
Glory to Allah, the Omnipresent, Omnipotent, Omniscience!!!

Primalogy Value of The Unity Chapter

To validate the system further, it was then applied to chapter The Unity (الإخلاص) and, Glory to Allah, both with and without Bism Allah Ar-Rahmaan Ar-Raheem it produced prime PVs and prime digit sums in both cases as follows:

بِسْمِ ٱللَّهِ ٱلرَّحْمَٰنِ ٱلرَّحِيمِ
In the name of Allah, the Merciful, the Gracious.

قُلْ هُوَ ٱللَّهُ أَحَدٌ
Say He is Allah, the One.

ٱللَّهُ ٱلصَّمَدُ
Allah is Self-Sustainer, Self-Sufficient.

لَمْ يَلِدْ وَلَمْ يُولَدْ
Neither gives birth, nor was born.

وَلَمْ يَكُن لَّهُۥ كُفُوًا أَحَدٌ
And nothing compares to Him.

بسم الله الرحمن الرحيم
3+37+89  2+83+83+101  2+83+29+13+89+97  2+83+29+13+107+89

قل هو الله أحد
73+83 101+103 2+83+83+101 2+13+19

الله الصمد
2+83+83+101 2+83+43+89+19

لم يلد ولم يولد
83+89 107+83+19 103+83+89 107+103+83+19

ولم يكن له كفوًا أحد
103+83+89 107+79+97 83+101 79+71+103+2 2+13+19

The total Primalogy Value with BismAllah = 4201 with its digit sum 4+2+0+1 = 7 are both primes, and the total Primalogy Value without BismAllah = 3167 with its digit sum 3+1+6+7 = 17 are both also primes which shows that the BismAllah of this chapter is optional.

Further Research

This research is in its early stages and is open to all who wish to participate for the noble aim of Decoding The Message of The Quran with permission of Allah (swt) and to help the group grow and be effective in awakening the general public to take heed and be ready to meet their Creator instead of the endless pursuit of worldly desires and materialism. Our souls need to conform to the commands of our spirits to please Allah alone and be ready to fight for fairness and justice under the banner of Imam Mehdi and Prophet Jesus (peace be upon them).

We, Muslims and non-Muslims need to think collectively as a unit, not as islands, of knowledge despite our difference to try our best to decode The Message Allah (swt) storing for us as it would be only revealed to those who deserve it and can make noble use of it for the good of all, not the selfish few.

God orders us to contemplate the Quran and study its miracles and one such miracle is its prime number-based structure. We need more guidance from Allah (swt) in finding a robust decoding method to learn the secrets of the Quran. Further research will look at such methods as skipping a prime number of letters or words, shifting letters by different prime numbers depending on their positions within words, verses or chapters, or most likely arranging letters in a 3D matrix of various prime dimensions (19 and 23 are good candidates) and join letters horizontally, vertically or diagonally to find hidden knowledge in sha Allah, in sha Allah, and in sha Allah.

I urgently need an authorized softcopy of the Quran to start letter-processing of the Quran text in sha Allah. I am willing to pay for it, please help! ThanQ.

ٱلْحَمْدُ لِلَّهِ رَبِّ ٱلْعَٰلَمِينَ
Glory to Allah the Sustainer of all worlds, the Seen and Unseen.

References

1. Allah (the Omnipotent, Omnipresent and Omniscience)
   The Holy Quran
   Recitation method: Hefs through Aasim through Ali bin abi Talib (pbuh).
   Writing method: Othmani.
   610-632AD [23 years of revelations from Allah through arch angel Gabriel (pbuh) to the Prophet Mohammed (Allah’s blessings and greetings be upon him and his purified family)].
2. John Derbyshire
   Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics
   Joseph Henry Press, 2003.
3. David Wells
   Prime Numbers: Most Mysterious Figures in Math
   John Wiley & Sons, Inc. 2005.
4. Daniel Rockmore
   Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers
   Pantheon Books, 2005.