MathDB

2

Part of 2009 Regional Olympiad of Mexico Center Zone

Problems(1)

a+p and a^2+p^2

Source: Mexico Regional Math Olympiad 2009 Problem 2

9/6/2015
Let p≥2p \ge 2 be a prime number and a≥1a \ge 1 a positive integer with p≠ap \neq a. Find all pairs (a,p)(a,p) such that: a+p∣a2+p2a+p \mid a^2+p^2
number theoryprime numbers