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arXiv · 2508.02433

Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems

Yuchen Ding·Christian Elsholtz·Yu-Chen Sun
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Abstract

In this note, we discuss two problems of S\'{a}rk\"{o}zy (2001). In particular, we prove an optimal result on sumsets of sparse subset of primes.

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Yuchen Ding, Christian Elsholtz, Yu-Chen Sun. 2025-08-04. Problems 66 and 67 on sums of residue classes and primes of Andr\'{a}s S\'{a}rk\"{o}zy's collection of unsolved problems. https://arxiv.org/abs/2508.02433

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