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Product features · Primitive Pythagorean triples
01
Use TripleMistral to follow the parity and coprime conditions that exclude scaled triangles before collecting the results.
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Primitive Pythagorean triples
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A concrete starting point · Primitive Pythagorean triples ×
from math import gcd
def primitive_triples(limit):
if type(limit) is not int or not 0 <= limit <= 500:
raise ValueError("hypotenuse.limit")
result, m = [], 2
while m * m + 1 <= limit:
for n in range(1, m):
c = m * m + n * n
if c <= limit and (m - n) % 2 and gcd(m, n) == 1:
a, b = sorted((m * m - n * n, 2 * m * n))
result.append((a, b, c))
m += 1
return sorted(result, key=lambda t: (t[2], t[0], t[1]))✳Enumerate primitive integer right triangles whose hypotenuse is at most a supplied limit from zero through 500.
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