Number Theory


On the Pythagorean Triples (12,y,z)

Authors: Faisal Amin Yassein Abdelmohssin

I found a pattern in the Pythagorean triples formed of the natural number12;{(12,5,13), (12,9,15), (12,16, 20), (12,35,37)}. The pattern is the decreasing value of the difference z - y for the triples such that the differences form a sequence of the even numbers {8,6,4,2} in that order. The existence of such sequence for other natural numbers transforms the Pythagorean equation into a linear equation in y .

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Submission history

[v1] 2017-08-14 08:00:35

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