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arXiv · 1604.00281

Integers divisible by a large shifted prime

Kevin Ford
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Abstract

Let $N(x,y)$ denote the number of integers $n\le x$ which are divisible by a shifted prime $p-1$ with $p>y$, $p$ prime. Improving upon recent bounds of McNew, Pollack and Pomerance, we establish the exact order of growth of $N(x,y)$ for all $x\ge 2y\ge 4$.

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Kevin Ford. 2016-04-01. Integers divisible by a large shifted prime. https://arxiv.org/abs/1604.00281

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