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arXiv · 2209.14939

A large integer is a sum of two prime avoiding numbers

Artyom Radomskii
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Abstract

Let $f(n)=\min_{p} |n-p|$, where $p$ is a prime. We show that there is a positive constant $\delta$ such that for any large integer $N$ there exist two positive integers $n_1$ and $n_2$ such that $N=n_1 + n_2$ and $f(n_i)\gg \ln N (\ln\ln N)^{\delta}$, $i=1, 2$.

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Artyom Radomskii. 2022-09-29. A large integer is a sum of two prime avoiding numbers. https://doi.org/10.4213/sm9980e

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