Vinogradov's theorem for primes with restricted digits

James Leng; Mehtaab Sawhney

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arXiv · 2409.06894

Vinogradov's theorem for primes with restricted digits

James Leng·Mehtaab Sawhney

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Abstract

Let $g$ be sufficiently large, $b\in\{0,\ldots,g-1\}$, and $\mathcal{S}_b$ be the set of integers with no digit equal to $b$ in their base $g$ expansion. We prove that every sufficiently large odd integer $N$ can be written as $p_1 + p_2 + p_3$ where $p_i$ are prime and $p_i\in \mathcal{S}_b$.

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James Leng, Mehtaab Sawhney. 2024-09-10. Vinogradov's theorem for primes with restricted digits. https://arxiv.org/abs/2409.06894

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