MathCastle
Proof WritingSuperchallengeContrapositive and Contradiction

Contrapositive and Contradiction · Superchallenge problem

How many ordered pairs (a,b)(a, b) of integers with 1≤a≤421 \le a \le 42 and 1≤b≤421 \le b \le 42 satisfy 21∣a2+b221 \mid a^2 + b^2?