5

Part of 2008 Costa Rica - Final Round

Problems(1)

Costa Rican math olympiad 2008 Problem 5

Source:

p

be a prime number such that p\minus{}1 is a perfect square. Prove that the equation a^{2}\plus{}(p\minus{}1)b^{2}\equal{}pc^{2} has infinite many integer solutions

a

b

c

with (a,b,c)\equal{}1

Diophantine equationOther problems