MathDB

Hungary-Israel Binational 2006_1

Source:

October 27, 2008

modular arithmeticinductionnumber theory unsolvednumber theory

Problem Statement

If natural numbers

x

y

p

n

k

with

n > 1

odd and

p

an odd prime satisfy x^n \plus{} y^n \equal{} p^k, prove that

n

is a power of

p