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Are there infinitely many simple primes?

Source: Kvant Magazine No. 1 2021 M2636

March 9, 2023
number theoryKvantprime numbers

Problem Statement

We call a natural number pp{} simple if for any natural number kk{} such that 2⩽k⩽p2\leqslant k\leqslant \sqrt{p} the inequality {p/k}⩾0,01\{p/k\}\geqslant 0,01 holds. Is the set of simple prime numbers finite?
Proposed by M. Didin
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