Twin Primes In Quadratic Arithmetic Progressions

Abstract

A recent heuristic argument based on basic concepts in spectral analysis showed that the twin prime conjecture and a few other related primes counting problems are valid. A rigorous version of the spectral method, and a proof for the existence of infinitely many quadratic twin primes n2+1 and n2+3, n ≥ 1, are proposed in this note.

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