MathDB

Slightly modified Fermat equation has many solutions

Source: All-Russian MO Round 4, 2005

April 2, 2005

number theory proposednumber theory

Problem Statement

10.7 Find all pairs

(a,b)

of natural numbers s.t.

a^n+b^n

is a perfect

n+1

th power for all

n\in\mathbb{N}

. (V. Senderov)