MathDB
write in form a^p+b^p

Source: ARO 2008

June 11, 2008
number theoryprime numbersnumber theory unsolved

Problem Statement

Given a finite set P P of prime numbers, prove that there exists a positive integer x x such that it can be written in the form a^p \plus{} b^p (a,b a,b are positive integers), for each p∈P p\in P, and cannot be written in that form for each p p not in P P.