IMO 2022 Shortlist N8

Prove that 5n ´ 3n is not divisible by 2n 65 for any positive integer n. (Belgium) 8 Oslo, Norway, 6th–16th July 2022 Sh...

IMO 2022 Shortlist N8

Category: Number Theory

Problem

Prove that 5n ´ 3n is not divisible by 2n ` 65 for any positive integer n. (Belgium) 8 Oslo, Norway, 6th–16th July 2022 Shortlisted problems – solutions 9