MathDB

N2

Part of 2022 IMO Shortlist

Problems(1)

Factorial Divisibility

Source: IMO SL 2022 N2

7/9/2023
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)
number theorydivsibilityprimes