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

Qijun, Gu, Minh Quang Nguyên

Source record

Source: arXiv

Published: Sep 13, 2026

arXiv: 2609.14471

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Source abstract

Assume the Generalised Riemann Hypothesis. If A{1,...,N}A\subseteq \{1,...,N\} contains no two elements differing by p+1p+1, pp prime, then AN7980+o(1)|A|\ll N^{\frac{79}{80} + o(1)}.

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