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arXiv · 1806.02699

Primes from sums of two squares and missing digits

Kyle Pratt
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Abstract

Let $\mathcal{A}'$ be the set of integers missing any three fixed digits from their decimal expansion. We produce primes in a thin sequence by proving an asymptotic formula for counting primes of the form $p = m^2 + \ell^2$, with $\ell \in \mathcal{A}'$. The proof draws on ideas from the work of Friedlander-Iwaniec on primes of the form $p = x^2+y^4$, as well as ideas from the work of Maynard on primes with restricted digits.

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Kyle Pratt. 2018-06-07. Primes from sums of two squares and missing digits. https://doi.org/10.1112/plms.12307

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