What is the maximum?

Number Theory Level 4

Over all Primitive Pythagorean Triplet ( a , b , c ) (a, b, c) , what is the largest integer value of x x such that x| a b ( a 2 − b 2 ) ab({a}^{2}-{b}^{2}) .

A Primitive Pythagorean Triplet is a Pythagorean Triplet a , b , c a, b, c such that a, b and c are coprime.

7 12 21 84

Shashank Rammoorthy by Shashank Rammoorthy , 20, India

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