4 papers
math.NT2022
On the Ribenboim-Landau Conjecture
Felix Sidokhine
We prove the Ribenboim hypothesis, which states that if, starting from some integer , consecutive prime numbers , satisfy the inequality $\sqrt {p_ {n+1}}-\sqr…
math.GM2019
Shnirelman's Theorem Applications
Felix Sidokhine
Shnirelman's theorem is applied to solving Diophantine equations, and also discussing of the problems of a representation of Gaussian integers by a sum of odd Gaussian primes.
math.GM2017
Goldbach's Conjecture and Euler's -Function
Felix Sidokhine
In this paper we propose an alternative formulation of the binary and ternary Goldbach conjectures as the systems of equations involving the Euler -function.
math.NT2016
Fermat's Last Theorem: Algebra and Number Theory
Felix Sidokhine
In our work we give the examples using Fermat's Last Theorem for solving some problems from algebra and number theory.