IN THE NAME OF GOD MOST GRACIOUS MOST
MERCIFUL
Journal of Submission
Volume 3 no. 2, April 1995
Editor: Ali R. Fazely, Ph.D.
Associate Editors: Saied Andalib and
ULTIMATE
MATHEMATICS
SUM OF TRIPLET
PRIMES AND THEIR INDICES
Proves Again
That Sura 9 has 127 Verses
GOD’s infinite grace is as always, the genesis for new revelations of the role of prime numbers which are the sum of “Triplet Primes” (introduced in last month issue of this journal) and their respective indices. These again coincide with the Quranic mathematical structure of Ultimate Mathematics.
Again, what are “Triplet Primes”? Remember that twin primes are primes that differ in magnitude by 2, like 11 and 13 or 17 and 19. If we add 4 to the larger member of the pair and get another prime we then have three primes and this is what I call a triplet prime. For example, the firat triplet prime is 5, 7, and 11. The second one is 11, 13, and 17. In the following table, I tabulate some of these triplet primes and add them up in the 6th column of this table. I further require that this sum has to be a prime. Imposing these conditions not only make such numbers very rare and enormously large for small indices (see the following table and compare column 1 and 6), but also require unimaginable large computer resources. By look at this table and reading the rest of this article, the reader can witness the GREATNESS OF GOD for him/herself.
Table I. Triplet Primes and their Indices |
|||||
Index of Triplet Prime |
Index of Twin Primes |
Triplet Primes |
Sum of Triplet Primes That Are Primes |
||
Twin Primes |
|
||||
1 |
2 |
5 |
7 |
11 |
23 |
2 |
3 |
11 |
13 |
17 |
41 |
3 |
4 |
17 |
19 |
23 |
59 |
4 |
6 |
41 |
43 |
47 |
131 |
5 |
9 |
101 |
103 |
107 |
311 |
6 |
20 |
311 |
313 |
317 |
941 |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
13 |
68 |
2237 |
2239 |
2243 |
6719 |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
19 |
188 |
8861 |
8863 |
8867 |
26591 |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
74 |
1343 |
112571 |
112573 |
112577 |
337721 |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
" |
78 |
1362 |
114197 |
114199 |
114203 |
342599 |
We focus on number 13. We know that chapter 13 in the Quran is in the middle of 6 A.L.R. initialed suras; however, it contains an M and changes to A.L.M.R. GOD in His infinite grace is hinting the importance of this chapter in the 19 – based mathematical structure of the Quran. We know that the 13th initial sura in the Quran is sura 27 which is the only sura containing two opening statements. Number 13 is also important because the 13th integer in the Quran is number 19. We know for example that from the beginning of chapter 9 to the end of sura 13 there are 513 verses and 513 = 19 x 27. GOD be praised.
Table 1 tabulates the “Triplet Primes” and their sums only if and when these sums are primes. The first column is the positional index of such triplet prime and the second column is the index of the associated twin prime. We note that there are very amazing mathematical relation in connection with the Quranic structure and the fact that sura 9 contains 127 verses. Note index number 13 in the left-hand column. Its associated twin prime has an index of 68, which corresponds to the last initialed sura. Furthermore, 1368 = 72 x 19. Read verse 72:19 and note that 7219 is a prime and it is the reverse of 9127. The sum of this triplet prime is 6719. This prime number has an index of 867. Note that 67 is the 19th prime and that the 8th prime is 19.
The 19th element in the above tabe coincides with the sum of primes, that is 26591 and the index of this prime number is 2917. Note that 2917 is simply a permutation of 9127 and it is the 11th element as shown in the following table:
Table II.
Permutation Properties of 9127 |
||||
Index |
Group Element |
|
Index |
Group Element |
1 |
1279 |
|
13 |
7129 |
2 |
1297 |
|
14 |
7192 |
3 |
1729 |
|
15 |
7219 |
4 |
1792 |
|
16 |
7291 |
5 |
1927 |
|
17 |
7912 |
6 |
1972 |
|
18 |
7921 |
7 |
2179 |
|
19 |
9127 |
8 |
2197 |
|
20 |
9172 |
9 |
2719 |
|
21 |
9217 |
10 |
2791 |
|
22 |
9271 |
11 |
2917 |
|
23 |
9712 |
12 |
2971 |
|
24 |
9721 |
Note also that there are 11 prime numbers (highlighted) in the above table. They are 1279, 1297, 2179, 2719, 2791, 2917, 2971, 7129, 7219, 9127, and 9721. further more, 11 is the 19th number mentioned in the Quran.
In table I, element number 74 corresponds to sura 74, the Hidden Secret, the only chapter in the Quran were the number 19 is mentioned. Note that it coincides with the twin prime index which is 1343; If you look at chapter 13 in the Quran you note that it has 43 verses.
Number 78 is important in conjunction with chapter 13, since 78 = 6 x 13 and 6 is the index of prime number 13 and also 78 x 19 = 1482, and 1482 is the number of initials in chapter 13. Note that in table I, the 78th triplet prime coincides with 1362nd twin prime. The number 1362 is very important, because 9:127 happens to be the 1362nd numbered verse from the beginning of the Quran. Such is the design of the Almighty, the Creator of all things.
The
Correct Qibla (direction of prayer) in
GOD, our Creator and Cherisher, The
One who teaches us what we do not know [1], has given us the eyesight, the
hearing and the brains and we are responsible for the decisions we make
[2]. More that a year
ago a debate on CompuServe on the direction of Qibla
was opened. There was a debate
between two groups regarding the direction in
Well the correct direction of facing Kaaba or the Sacred Mosque from
Well, Milan measured the direction of Kaaba at the old Mosque and it is 10 degrees North of East and as reference 3, I mentioned that geodesics (largest circles containing two points on the surface and the center of the earth, with the center of the earth being the center of the circle) on a sphere points slightly North of East. Note that this is an incontrovertible mathematical argument. If one behaves otherwise after this point has been clarified, then he/she is opposing GOD and His messenger when GOD clearly states that we should face the Sacred Mosque whenever we are, all of us [4].
There have been many attacks on
myself and
Erratum
Last month, in an article entitled “Number of Verses in the Quran”, there was an error. In the second paragraph, it reads “from the beginning of sura 9 to 27:30..”. It should read “from the beginning of sura 13 to 27:30…”. We ask forgiveness from GOD for our oversight. The conclusion of that article should not be affected by this mistake, since there are 513 = 27 x 19 verses from the beginning of sura 9 to the end of sura 13. Note that the 13th initialed sura is chapter 27.
References
[1] Quran, 96:5
[2] Quran, 17:36
[3] Journal of Submission, Vol. 2, No. 2
[4] Quran, 2:144