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Pythagorean triples containing 30

Source: China Northern MO 2011 p5 CNMO

May 4, 2024
number theoryPythagorean TriplePythagorean Triples

Problem Statement

If the positive integers a,b,ca, b, c satisfy a2+b2=c2a^2+b^2=c^2, then (a,b,c)(a, b, c) is called a Pythagorean triple. Find all Pythagorean triples containing 3030.
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