IMO 2006 Shortlist N7

Prove that, for every positive integer n, there exists an integer m such that 2m + m is divisible by n. (Estonia)

imomathematicsolympiadshortlistnumber-theory

IMO 2006 Shortlist N7

Category: Number Theory

Problem

Prove that, for every positive integer n, there exists an integer m such that 2m

  • m is divisible by n. (Estonia)