Number Theory


Prime Sextuplet Conjecture

Authors: Toshiro Takami

Prime Sextuplet and Twin Primes have exactly the same dynamics. All Prime Sextuplet are executed in hexagonal circulation. It does not change in a huge number (forever huge number). In the hexagon, Prime Sextuplet are generated only at (6n -1)(6n+5). [n is a positive integer] When the number grows to the limit, the denominator of the expression becomes very large, and primes occur very rarely, but since Prime Sextuplet are 48/3 times of the sixth power distribution of primes, the frequency of occurrence of Prime Quintuplet is very equal to 0. However, it is not 0. Therefore, Prime Sextuplet continue to be generated. If Prime Sextuplet is finite, the Primes is finite. The probability of Prime Sextuplet 48/3 times of the sixth power probability of appearance of the Prime. This is contradictory. Because there are an infinite of Primes. That is, Prime Sextuplet exist forever.

Comments: 4 Pages.

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Submission history

[v1] 2019-11-09 16:17:51
[v2] 2019-11-11 16:09:29
[v3] 2019-11-15 06:50:44

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