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math.NT2015
Diophantine Inequalities with Primes, Auxiliary Inequalities, Evaluations of the Difference between Consecutive Primes
Felix Sidokhine
The goal of the present paper is to present a method of proving of Diophantine inequalities with primes through the use of auxiliary inequalities and available evaluations of the d…
math.NT2015
On the Difference between Consecutive Primes and Estimates of the Number of Primes in the Interval
Felix Sidokhine
Using evaluations of the difference between consecutive primes we develop another way of estimating of the number of primes in the interval . We also discuss the ultra Cra…
math.NT2015
On Proving of Diophantine Inequalities with Prime Numbers by Evaluations of the Difference between Consecutive Primes
Felix Sidokhine
Using as the working hypothesis of an evaluation of the difference between primes we represent in detail the proofs of Legendre's and Oppermann's co…