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arXiv · 1710.07827

Twin Primes In Quadratic Arithmetic Progressions

N. A. Carella
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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 $n^{2}+1$ and $n^{2}+3$, $n \geq 1$, are proposed in this note.

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N. A. Carella. 2017-10-21. Twin Primes In Quadratic Arithmetic Progressions. https://arxiv.org/abs/1710.07827

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