MathDB

3

Part of 2019 Final Mathematical Cup

Problems(1)

pq | (5^p - 2^p )(7^q - 2^q ) if p <= q

Source: 1st Final Mathematical Cup 2019 FMC , juniors p3

10/6/2020
Determine every prime numbers pp and q,p≤qq , p \le q for which pq∣(5p−2p)(7q−2q)pq | (5^p - 2^ p )(7^q -2 ^q )
number theorydividesdivisible