MathDB

6

Part of 2009 CentroAmerican

Problems(1)

Diophantine Equation

Source: Problem 6, Centroamerican Olympiad 2009

10/7/2009
Find all prime numbers p p and q q such that p^3 \minus{} q^5 \equal{} (p \plus{} q)^2.
modular arithmeticinequalitiesnumber theorynumber theory proposed