A quinary diophantine inequality by primes with one of the form p=x²+y²+1

2021/06/29 by Dimitrov, S. I.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2107.04028

Abstract

In this paper we show that, for any fixed 10, the diophantine inequality |p₁^c+p₂^c+p₃^c+p₄^c+p₅^c-N|lt;ε has a solution in prime numbers p₁, p₂, p₃, p₄, p₅, such that p₁=x² + y² +1.

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