MathDB

(159) 3

Part of 1987 Tournament Of Towns

Problems(1)

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

Source:

4/19/2020
Prove that there are infinitely many pairs of natural numbers aa and bb such that a2+1a^2 + 1 is divisible by bb and b2+1b^2 + 1 is divisible by aa .
number theorydivisibledivides