Number Theory


Solving Incompletely Predictable Problems Polignac's and Twin Prime Conjectures Using Information-Complexity Conservation

Authors: John Yuk Ching Ting

Prime numbers are Incompletely Predictable numbers calculated using complex algorithm Sieve of Eratosthenes. Involving proposals that prime gaps and associated sets of prime numbers are infinite in magnitude, Twin prime conjecture deals with even prime gap 2 and is a subset of Polignac's conjecture which deals with all even prime gaps 2, 4, 6, 8, 10,.... Treated as Incompletely Predictable problems, we solve these conjectures with research method Information-Complexity conservation to get Plus Gap 2 Composite Number Continuous Law and Plus-Minus Gap 2 Composite Number Alternating Law.

Comments: 18 Pages. Rigorous proofs for Polignac's and Twin prime conjectures.

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Submission history

[v1] 2019-04-12 03:21:35
[v2] 2019-05-13 19:48:03
[v3] 2019-05-27 18:47:01

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