Topology of Numbers · Problem 12

The Farey Diagram — Allen Hatcher

Mathematics — Number Theory · pythagorean-triples-divisibility

Problem

Show that for every Pythagorean triple (a,b,c)(a, b, c) the product abcabc must be divisible by 60. (It suffices to show that abcabc is divisible by 3, 4, and 5.)

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