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arXiv · 1507.07025

On Proving of Diophantine Inequalities with Prime Numbers by Evaluations of the Difference between Consecutive Primes

Felix Sidokhine
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Abstract

Using as the working hypothesis of an evaluation of the difference between primes $p_{n+1} - p_n = O(\sqrt{p_n})$ we represent in detail the proofs of Legendre's and Oppermann's conjectures.

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Felix Sidokhine. 2015-07-24. On Proving of Diophantine Inequalities with Prime Numbers by Evaluations of the Difference between Consecutive Primes. https://arxiv.org/abs/1507.07025

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