They are sets of three integers.
The squares of two of them add up to the square of the third.
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Since there are an infinite amount of whole numbers to make Pythagorean triples, there would be an infinite amount of Pythagorean triples to make.
No.
You seem to have squashed the numbers together but 4, 3 and 5 make up a Pythagorean triple.
Beacause it works
no one knows.