MathDB
Factorial Divisibility

Source: IMO SL 2022 N2

July 9, 2023
number theorydivsibilityprimes

Problem Statement

Find all positive integers n>2n>2 such that n!∣∏p<q≤n,p,q primes(p+q) n! \mid \prod_{ p<q\le n, p,q \, \text{primes}} (p+q)
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