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arXiv · 2609.14471

An explicit power-saving bound for Sárközy's Theorem on shifted primes, assuming GRH

Qijun·Gu·Minh Quang Nguyên
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Abstract

Assume the Generalised Riemann Hypothesis. If $A\subseteq \{1,...,N\}$ contains no two elements differing by $p+1$, $p$ prime, then $|A|\ll N^{\frac{79}{80} + o(1)}$.

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Qijun, Gu, Minh Quang Nguyên. 2026-09-13. An explicit power-saving bound for Sárközy's Theorem on shifted primes, assuming GRH. https://arxiv.org/abs/2609.14471

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