Determine all pairs of positive integers (m,n) such that m is but divisible by every integer from 1 to n (inclusive), but not divisible by n+1,n+2, and n+3.
Source: 2006 MOP Homework Red NT 2
Tags: number theory, divisible
Determine all pairs of positive integers (m,n) such that m is but divisible by every integer from 1 to n (inclusive), but not divisible by n+1,n+2, and n+3.