Question 139
Let $a, b$ be two positive integers such that
$$
b+1 \mid a^{2}+1, \quad a+1 \mid b^{2}+1
$$
Prove that $a, b$ are odd numbers.
$$
b+1 \mid a^{2}+1, \quad a+1 \mid b^{2}+1
$$
Prove that $a, b$ are odd numbers.
MathNet 2016-part-04 — 184 problems (EN–VI) Question 139
Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)