Number Theory


Prime Triplet Conjecture

Authors: Toshiro Takami

Prime Triplet and Twin Primes have exactly the same dynamics. All Prime Triplet are executed in hexagonal circulation. It does not change in a huge number (forever huge number). In the hexagon, Prime Triplet are generated only at (6n -1)(6n+1). [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 Triplet are 35/12 times of the 3th power distribution of primes, the frequency of occurrence of Prime Triplet is very equal to 0. However, it is not 0. Therefore, Prime Triplet continue to be generated. If Prime Triplet is finite, the Primes is finite. The probability of Prime Triplet 35/12 times of the 3th power probability of appearance of the Prime. This is contradictory. Because there are an infinite of Primes. That is, Prime Triplet exist forever.

Comments: 4 Pages.

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Submission history

[v1] 2019-11-11 02:24:22
[v2] 2019-11-15 04:20:33
[v3] 2019-11-15 16:55:20

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