Solutions of p^3=p^2+q^2+r^2 in primes
Source: Iranian National Olympiad (3rd Round) 2004
January 9, 2009
Eulernumber theory proposednumber theory
Problem Statement
Find all integer solutions of p^3\equal{}p^2\plus{}q^2\plus{}r^2 where are primes.
Source: Iranian National Olympiad (3rd Round) 2004