Integers divisible by a large shifted prime
Volume 178 / 2017
Acta Arithmetica 178 (2017), 163-180
MSC: Primary 11N25.
DOI: 10.4064/aa8495-2-2017
Published online: 23 March 2017
Abstract
We determine the exact order of growth of $N(x,y)$, the number of integers $n\le x$ divisible by a shifted prime $p-1 \gt y$, uniformly for all $x\ge 2y\ge 4$.
