Number Theory


Proof of Bunyakovsky's Conjecture

Authors: Robert Deloin

Bunyakovsky's conjecture states that under special conditions, polynomial integer functions of degree greater than one generate innitely many primes. The main contribution of this paper is to introduce a new approach that enables to prove Bunyakovsky's conjecture. The key idea of this new approach is that there exists a general method to solve this problem by using only arithmetic progressions and congruences. As consequences of Bunyakovsky's proven conjecture, three Landau's problems are resolved: the n^2+1 problem, the twin primes conjecture and the binary Goldbach conjecture. The method is also used to prove that there are infinitely many primorial and factorial primes.

Comments: 10 Pages. This is version 2 with important changes.

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Submission history

[v1] 2016-11-29 03:29:40
[v2] 2016-12-08 03:13:44

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