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Integers divisible by a large shifted prime

Volume 178 / 2017

Kevin Ford Acta Arithmetica 178 (2017), 163-180 MSC: Primary 11N25. DOI: 10.4064/aa8495-2-2017 Published online: 23 March 2017


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 $x\ge 2y\ge 4$.


  • Kevin FordDepartment of Mathematics
    University of Illinois at Urbana-Champaign
    1409 West Green Street
    Urbana, IL 61801, U.S.A.

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