1

Part of 1992 Japan MO Finals

Problems(1)

x+y isn't divisor of x^n+y^n

Source:

x,\ y

be relatively prime numbers such that

xy\neq 1

. For positive even integer

n

, prove that x \plus{} y isn't a divisor of x^n \plus{} y^n.

inductionnumber theoryrelatively primeprime numbers