MathDB
Diophantine Equation with prime numbers

Source: Korea National 2012 Problem 3

August 19, 2012
modular arithmeticquadraticsnumber theory proposednumber theory

Problem Statement

Find all triples (m,p,q)(m,p,q) where m m is a positive integer and p,q p , q are primes. 2mp2+1=q5 2^m p^2 + 1 = q^5