MathDB

TOT 159 1987 Autumn S3 a^2 + 1 divisible by b , b^2 + 1 divisible by a .

Source:

April 19, 2020

number theorydivisibledivides

Problem Statement

Prove that there are infinitely many pairs of natural numbers

a

and

b

such that

a^2 + 1

is divisible by

b

and

b^2 + 1

is divisible by

a