Sunday 26 June 2011

Al-Fatihah & Prime Numbers

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 = 2319+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. When we divide the number with the number of earth days in 1 year, we get this result: 2272732164301 / 365.25 = 6,222,401,545 or ~6.2 billion years. Now consider this verse:


Surely, your Lord is Allâh Who created the heavens and the earth in six Days and then rose over (Istawâ) the Throne (really in a manner that suits His Majesty), disposing the affair of all things. No intercessor (can plead with Him) except after His Leave. That is Allâh, your Lord; so worship Him (Alone). Then, will you not remember? (Yunus 10:3)


The number 6.2 billion years is very close with the six Days mention in the ayat. But the 6 days cover both heavens and the earth so which one comes first? Is it heaven or earth? The answer is simple. Our feet is fixed on the earth and we are breathing air (heaven). So earth must come first and then only air (heaven). If air (heaven) comes first, there is no gravity to trap the air (heaven) close to the earth.


So what is the age of the earth and what is the age of the heavens? In order to answer that question, let us look at this verse:


Allâh it is He Who has created the heavens and the earth, and all that is between them in six Days. Then He rose over (Istawâ) the Throne (in a manner that suits His Majesty). You (mankind) have none, besides Him, as a Walî (protector or helper) or an intercessor. Will you not then remember (or receive admonition)? (As-Sajdah 32:4)


As-Sajdah means to prostrate. You can only prostrate if the earth exists. Then ayat 4 must refer to the number of Days God created earth. However, the number must be consistent with our scientific knowledge of 4.54 billion years. If we divide 32/4 = 8. So just add 0.8 to the number 4, we will get the age of the earth to be 4.8 billion years old. This means the age of the heavens (7 atmosphere) to be 6.2-4.8 = 1.4 billion years old.


Please refer the link below on the scientific estimations of 4.54 billion years for the earth age [http://en.wikipedia.org/wiki/Age_of_the_Earth] and Allah is always correct and knows all.


Original source: http://www.quranwonders.com/2009/06/18/quran-and-prime-numbers-adams


The sky and the earth was created by Allah in 6 period can be found in the following verses:  (Al A’raaf 7:54), (Yunus 10:3),  (Hud 11:7), (Al Furqan 25:59), (As Sajdah 32:4) and (Al Hadid 57:4).

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