MathDB
Equation with prime and natural numers

Source: Greek TST 2012,Pr.1

August 28, 2014
number theory proposednumber theory

Problem Statement

Find all triples (p,m,n)(p,m,n) satisfying the equation pmāˆ’n3=8p^m-n^3=8 where pp is a prime number and m,nm,n are nonnegative integers.