Pythagoras triples numbers generator Print Pythagoras triples ▲
Max value of the hypotenuse c:
Primitive triples Complete triples
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k - is the multiplying factor if k = - then triple value is primitive.
Pythagorean triples Print Pythagorean triples overview ▲
Pythagorean theorem states that in a right triangle the sides are related to each other by the equation:
A Pythagorean triple is a set of integer numbers that fulfills equation 1. for example the set:   a = 3,   b = 4,   c = 5.

One way to find the triple values is by using the Euclid' s formula:
m and n are integers such that    n > m.
If   n ⎯   m   is odd and m and n are coprime (can not be divided by a common factor) the result of the Euclid' s formula yields all triples that are said to be primitive.
Because the result of multiplying a,b and c by a common factor is also a Pythagorean triple, the more complete equation is:
Where k is an integer k = 2, 3 …. and n ⎯   m is odd and m and n are coprime.