A density theorem for prime squares

Genheng Zhao

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arXiv · 2502.20322

A density theorem for prime squares

Genheng Zhao

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Abstract

Let $s\geq 8$ be an integer and $P$ be a set of primes with relative lower density greater than $\sqrt{1-\min\{s,16\}/32}$. We prove that every sufficiently large integer $n\equiv s({\rm mod}24)$ can be represented by a sum of $s$ squares of primes in $P$.

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Genheng Zhao. 2025-02-27. A density theorem for prime squares. https://arxiv.org/abs/2502.20322

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