The polynomials X2+(Y2+1)2$X∧2+(Y∧2+1)∧2$ and X2+(Y3+Z3)2$X∧{2} + (Y∧3+Z∧3)∧2$ also capture their primes-MedSci.cn

The polynomials X2+(Y2+1)2$X∧2+(Y∧2+1)∧2$ and X2+(Y3+Z3)2$X∧{2} + (Y∧3+Z∧3)∧2$ also capture their primes

Merikoski, J

Merikoski, J (通讯作者)，Univ Oxford, Math Inst, Radcliffe Observ Quarter, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England.

Abstract

We show that there are infinitely many primes of the form X2+(Y2+1)2$X<^>2+(Y<^>2+1)<^>2$ and X2+(Y3+Z3)2$X<^>2+(Y<^>3+Z......

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