It was a religous cult founded by Pythagoras that thought everything depended on numbers, and math. They were divided into two groups, the mathematikoi and the akousmatikoi.
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he created because he wanted to show that numbers have mystical and spirituals powers to the world he wanted to keep it a secret between him and just the brotherhood of Pyhtagorean's which are now called Pythagorean's Secret Society.
Pythagorean triplets
Since there are an infinite amount of whole numbers to make Pythagorean triples, there would be an infinite amount of Pythagorean triples to make.
If you mean 3, 4 and 5 then yes it is a Pythagorean triple
the sides of a triangle on which the Pythagorean theorem can be applied is called Pythagorean triplet