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

2015/07/24 by Felix Sidokhine, Sidokhine, Felix
Mathematics · #Analytic Number Theory Research #Advanced Mathematical Identities #History and Theory of Mathematics

paper · pdf · doi:10.48550/arxiv.1507.07025

Abstract

Using as the working hypothesis of an evaluation of the difference between primes p_n+1 - p_n = O(√(p_n)) we represent in detail the proofs of Legendre's and Oppermann's conjectures.

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