Arithmetic progressions of three prime numbers with two primes of the form $\mathbf{p=x^2+y^2+1}$

S. I. Dimitrov

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arXiv · 1610.04044

Arithmetic progressions of three prime numbers with two primes of the form $\mathbf{p=x^2+y^2+1}$

S. I. Dimitrov

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Abstract

In the present paper we prove that there exist infinitely many arithmetic progressions of three different primes $p_1,p_2,p_3=2p_2-p_1$ such that $p_1=x_1^2 + y_1^2 +1$, $p_2=x_2^2 + y_2^2 +1$.

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BibTeX RIS

S. I. Dimitrov. 2016-10-13. Arithmetic progressions of three prime numbers with two primes of the form $\mathbf{p=x^2+y^2+1}$. https://arxiv.org/abs/1610.04044

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