Basically, a pythogorean triple is just 3 positive integers which satisfy the pythogorean theorem .
So
In a nutshell, a Pythagorean triple has the property that
Perhaps the best know method for generating such triples (attributed to Euclid) is to let:
where and .
A triple is said to be primitive if are co-prime, and requires to be co-prime and is odd.
Pythagorean triple - Wikipedia, the free encyclopedia