Using the order modulo a prime to solve a divisibility condition

In this video we present a solution to IMO 1999/4. 00:00 Problem Statement 00:25 Solution Check out our website https://www.calimath.org to find past problems, solutions and other cool stuff. Solution PDF: https://calimath.org/pdf/IMO1999-4.pdf Wiki links to used statements: 02:44 https://calimath.org/wiki/multiplicat... 05:24 https://calimath.org/wiki/p-adic-valu... 05:43 https://calimath.org/wiki/lifting-the... branch: number theory difficulty: 6 Our website: https://www.calimath.org Contact us: calimath.business@gmail.com