(5)2 + (12)2 = (13)2
25 + 144= 169
169 = 169
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Suppose you are given a number X. Then, if X is odd Y = X2/2 - 1/2 and Z = Y + 1 form a triplet. and if X is even, then Y = X2/4 - 1 and Z = Y + 2 form a triplet.
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no one knows.
the Pythagorean theory
24, 25 and 26 is one possible triplet.