Number Theory


Prime Quadruplet Conjecture

Authors: Toshiro Takami

Prime Quadruplet and Twin Primes have exactly the same dynamics. All Prime Quadruplet are executed in hexagonal circulation. It does not change in a huge number (forever huge number). In the hexagon, Prime Quadruplet 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 Quadruplet are 16/3 of the fourth power distribution of primes, the frequency of occurrence of Prime Quadruplet is very equal to 0. However, it is not 0. Therefore, Cousin Primes continue to be generated. If Prime Quadruplet is finite, the Primes is finite. The probability of Prime Quadruplet 16/3 of the fourth power probability of appearance of the Prime. This is contradictory. Because there are an infinite of Primes. That is, Prime Quadruplet exist forever.

Comments: 4 Pages.

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Submission history

[v1] 2019-11-08 07:33:56
[v2] 2019-11-08 19:03:42
[v3] 2019-11-12 01:21:56
[v4] 2019-11-15 16:58:49

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