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arXiv · 1401.2355

Quadratic Primes

N. A. Carella
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Abstract

The subset of quadratic primes {p = an^2 + bn + c : n => 1} generated by an irreducible polynomial f(x) = ax^2 + bx + c over the integers is widely believed to be an unbounded subset of prime numbers. This note provides the details of a possible proof for some of these quadratic polynomials. In particular, it is shown that the cardinality of the simplest subset of quadratic primes {p = n^2 + 1 : n => 1} is infinite.

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N. A. Carella. 2014-01-06. Quadratic Primes. https://arxiv.org/abs/1401.2355

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