IMO 2008 Shortlist N1

Let n be a positive integer and let p be a prime number. Prove that if a, b, c are integers (not necessarily positive) s...

imomathematicsolympiadshortlistnumber-theory

IMO 2008 Shortlist N1

Category: Number Theory

Problem

Let n be a positive integer and let p be a prime number. Prove that if a, b, c are integers (not necessarily positive) satisfying the equations an

  • pb = bn
  • pc = cn
  • pa, then a = b = c.