MathDB

1\p=1/a^2+1/b^2 diophantine with prime p (Greece Juniors 2017 p3)

Source:

March 16, 2020

Diophantine equationdiophantinenumber theory

Problem Statement

Find all triplets

(a,b,p)

where

a,b

are positive integers and

p

is a prime number satisfying:

\frac{1}{p}=\frac{1}{a^2}+\frac{1}{b^2}