Largest Prime Factors of Polynomials (2308.10075v7)

Published 19 Aug 2023 in math.GM

Abstract: Let $x>1$ be a large number. This note shows that the largest prime factor of the quadratic product $\prod_{x\leq n\leq 2x}\left(n²⁺¹ \right)$ satisfies the relation $p \geq x^{3/2}$ as $x$ tends to infinity. This improves the current estimate $p \geq x^{1.279}$.

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Authors (1)

N. A. Carella

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