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Extreme Arithmetic of the Quran A Visual Presentation By: Ali R. Fazely, Ph.D. Prime Numbers Prime numbers will be numbers that are separable without anyone else and "one" as it were. Revelation of prime numbers is a test to mathematicians since the time that primes were found.

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Ultimate Mathematics of the Quran A Visual Presentation By: Ali R. Fazely, Ph.D.

Prime Numbers Prime numbers will be numbers that are distinct independent from anyone else and âoneâ just. Revelation of prime numbers is a test to mathematicians following the time when primes were found. In view of their multifaceted nature, primes are utilized as a part of cryptography and PC security. Numerous calculations have been created to discover new and basic prime numbers. No careful hypothesis exists connecting primes to the positional rank. For instance, likely none here recognizes what the 1187 th prime is without working his/her way up from the first prime to the 1187 th .

PRIMES Index Prime 1 2 2 3 3 5 â 7 17 8 19 9 23 11 31 â 19 67 â 114 619 â 1131 9127 â 1187 9619

COMPOSITES Index Composite 1 4 2 6 3 8 â â 8 15 9 16 â 13 22 â â â 19 30 â 114 150 â 127 166 â 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 â 13 41 22 â â â 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 â â â 19 281,283 â 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 â â 19 109

PRIMES & 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 â â â â â 19 67 19 109

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

LONELY PRIMES Index Lonely Prime 1 2 2 23 3 37 4 47 5 53 6 67 7 79 8 83 9 89 10 97 â â 19 223 â 114 1187 â 790 9619

POSITIONAL ADDITIVE PRIMES Rank Index + Prime = Prime 1 + 2 = 3 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 â â 19 98 + 521 = 619 114 808 + 6211 = 7019 Note 619 is the 114 th prime number

1998 is the file of composite 2346. Give us a chance to take a gander at the change bunch 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 2634 17 4623 6 2643 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 Ã 2 Ã 3 Ã 17 The Indices of These Prime Factors are 9, 1, 2, 7 [1] Milan Sulc, private comm.

The digits 1,2,7, and 9 have exceptional gathering properties. Record 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 Â The rundown of initial 19 known Mersenne Index Exponent (p) 1 2 3 5 7 5 13 â 4253 (Hurwitz, 1961) Number of digits = 1281

Gaussian Primes (G.P.) The genuine Gaussian primes are 3, 7, 11, 19 â¦. , and are of the structure (4n + 3 ), where n is any whole number including 0 . The prime number 17, for instance, is not a Gaussian prime since it can be calculated out into (4 + i)(4 - i) = 17.

Index P. File G.P. 1 2 3 2 4 7 â 19 67 â 36 151 â 92 479 â 1514 12671 764 = 2 x 2 x 191, the files of these prime elements are 1, 1, 43. 1143 = 9 x 127 and 1514 is the 1273 rd composite.

NUMBER BASES Base 2 (Binary) Only 0 and 1 Base 8 (Octal) From 0 - 7 Base 13 From 0 - 12 Base 19 From 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 twofold 19 in base 10 is 23 in octal 76 in base 10 is 114 in octal 23 is base 10 is 10111 in paired 2698 in base 10 is 790 in base 19

Ultimate Mathematics, the Math