220 Pythagorean triples
Project: 64 primitive Pythagorean triangles with a common hypotenuse
A product ofn+1distint prime numbers of the form 4 k+1can be
written a sum of two squares in 2 ndifferent ways, repeatedly by making
use of the identity
(x^21 +y 12 )(x^22 +y^22 )=(x 1 x 2 −y 1 y 2 )^2 +(x 1 y 2 +x 2 y 1 )^2.The first 7 primes of the form 4 k+1are 5, 13, 17, 29, 37, 41, and 53.
Their product is 2576450045. What are the 64 triples?