MOBILE LINKS

In The Name of GOD, The All Gracious, The All Merciful

The Quran is a fully detailed book revealed by GOD and it is mathematically coded by GOD through the "Ultimate Mathematics" of primes, twin primes, composites, twin prime companions and their relations to their respective indices.

In fact, Ultimate Mathematics generates the Quran automatically. The beacon along this awesome mathematical code is the 8th prime number, 19 (Quran -- 74:30 -- Over it, is 19).

Ultimate Mathematics uses sophisticated relations in number systems, all unknown to mankind, crosses number bases and has formidable group structure.

Again, emphasizing that the mathematics of primes, twin primes, composites, twin prime companions, Mersenne primes, Gaussian primes and their relations to their indices as well as their inter-indexal relations are not known to us.

We have noted that the Quran is an eternal book and the above mathematics is actually the generator of the Quran. In other words, Ultimate Mathematics was materialized in the form of a book called the Quran about 1400 years ago.

Ultimate Mathematics of the Quran

A Visual Presentation By:

Ali R. Fazely, Ph.D.

Prime numbers are numbers that are divisible by themselves and “one” only.

Discovery of prime numbers is a challenge to mathematicians ever since primes were discovered.

Because of their complexity, primes are used in cryptography and computer security.

Many algorithms have been developed to find new and simple prime numbers.

No exact theory exists linking primes to the positional rank.

For example,
probably none here knows what the 1187th prime is without working his/her way up from the first prime to the 1187th

PRIMES

INDEX	PRIME
1	2
2	3
3	5
"	"
7	17
8	19
9	23
''	"
11	31
''	"
19	67
''	"
114	619
"	"
1131	9127
"	"
1187	9619

COMPOSITES

INDEX	COMPOSITE
1	4
2	6
3	8
"	"
8	15
9	16
"	"
13	22
"	"
19	30
"	"
114	150
"	"
127	166
"	"
368	456

PRIMES AND COMPOSITES

INDEX	PRIME	COMPOSITE
1	2	4
2	3	6
3	5	8
4	7	9
5	11	10
6	13	12
7	17	14
8	19	15
9	23	16
"	"	"
13	41	22
"	"	"
19	67	30

TWIN PRIMES PAIRS

INDEX	TWIN PRIME
1	3,5
2	5,7
3	11,13
4	17,19
5	29,31
6	41,43
7	59,61
8	71,73
"	"
19	281,283
"	"
114	4271,4273

TWIN PRIMES SEQUENTIALLY

INDEX	TWIN PRIME
1	3
2	5
3	7
4	11
5	13
6	17
7	19
8	29
9	31
10	41
11	43
12	59
13	61
"	"
19	109

PRIMES AND TWIN PRIMES SEQUENTIALLY

INDEX	PRIME	INDEX	TWIN PRIME
1	2	1	3
2	3	2	5
3	5	3	7
4	7	4	11
5	11	5	13
6	13	6	17
7	17	7	19
8	19	8	29
9	23	9	31
10	29	10	41
11	31	11	43
12	37	12	59
13	41	13	61
"	"	"	"
19	67	19	109

TWIN PRIME COMPANIONS

INDEX	TWIN PRIME
1	4
2	6
3	12
4	18
5	30
6	42
7	60
8	72
9	102
10	108
"	"
19	282
"	"
521	33768

LONELY PRIMES

INDEX	TWIN PRIME
1	2
2	23
3	37
4	47
5	53
6	67
7	79
8	83
9	89
10	97
"	"
19	223
"	'
114	1187
"	"
790	9619

POSITIONAL ADDITIVE PRIMES

INDEX	INDEX + PRIME = PRIME
1	1 + 2 = 3
2	2 + 3 = 5
3	4 + 7 = 11
4	6 + 13 =19
5	18 + 61 = 79
6	22 + 79 = 101
7	24 + 89 = 113
8	26 + 101 = 127
9	32 + 131 = 163
10	42 +181 = 223
"	"
19	98 + 521 = 619
"	"
114	114 + 6211 = 7019

1998 is the index of composite 2346.

Let us look at the permutation group property of the four digits 2, 3, 4, and 6

INDEX	ELEMENT	INDEX	ELEMENT
1	2346	13	4236
2	2364	14	4263
3	2436	15	4326
4	2463	16	4362
5	2534	17	4623
6	2543	18	4632
7	3246	19	6234
8	3264	20	6243
9	3426	21	6324
10	3462	22	6342
11	3624	23	6423
12	3642	24	6432

2346 + 23 x 2 x 3 x 17
The indices of these prime factors are
9, 1 , 2, 7

The digits 1, 2, 7, and 9 have special sequential group properties.

INDEX	ELEMENT	INDEX	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	2792	22	9271
11	2917	23	9712
12	2971	24	9721

the 114th prime number is 619 and the 619th prime is 4567

INDEX	ELEMENT	INDEX	ELEMENT
1	4567	13	6457
2	4576	14	6475
3	4657	15	6547
4	4675	16	6574
5	4756	17	6745
6	4765	18	6754
7	5467	19	7456
8	5476	20	7465
9	5647	21	7546
10	5674	22	7564
11	5746	23	7645
12	5764	24	7654

Mersenne primes

M(P) = 2 P - 1

(2 to the power of P - 1)

The list of first 19 known Mersenne

INDEX	EXPONENT (P)
1	2
2	3
3	5
4	7
5	13
"	"
19	4254 (Hurwitz 1961) Number of digits = 1281

GAUSSIAN PRIMES (G.P.)

The real Gaussian primes are 3, 7, 11, 19 ...... and are of the form (4n + 3), where n is any integer including 0.
The prime number 17 for example is not Gaussian prime since it can be factored out into (4 + i)(4 - i) = 17

INDEX	P.INDEX	G.P.
1	2	3
2	4	7
"	"	"
10	19	67
"	"	"
19	36	151
"	"	"
47	92	479
"	"	"
764	1514	12671

764 = 2 X 2 X 191
the indices of these prime factors are 1, 1, 43
1143 = 9 x 127
and 1514 is the 1273rd composite

NUMBER BASES

Base 2 (Binary) Only 0 and 1
Base 8 (Octal) From 0 - 7
Base 13 From 0 - 12
Base 19 0 - 18

Examples
13 in base 19 is 22 in base 10
19 in base 13 is 22 in base 10
19 in base 10 is 10011 in binary
19 in base 10 is 23 in octal
76 in base 10 is 114 in octal
23 in base 10 is 10111 in binary
2698 in base 10 is 790 in base 19

Ultimate Mathematics, the Mathematics of the Quran

A 19 based mathematics involving primes, composites,
twin primes, twin prime companions, and their indices.

Quran 74:30 - Over it, is 19

The mathematics encompasses number bases and positional
additive, .subtractive primes and Composites and group theory.

This mathematics is beyond human knowledge

Quran Statistics

114 Chapters
6234 Numbered verses
6346 Total verses
29 Initial chapters
85 Un-initialed chapters
2698 The total number of word GOD in the Quran

These parameter based on 9 having 127 verses