A375463 Numbers appearing on all three positions in ordered primitive Pythagorean triples.
221, 325, 377, 425, 493, 629, 697, 725, 925, 1025, 1073, 1189, 1325, 1517, 1537, 1769, 1885, 1961, 2173, 2257, 2405, 2501, 2665, 2701, 2993, 3145, 3233, 3293, 3445, 3485, 3649, 3869, 3965, 3977, 4453, 4505, 4717, 4745, 5141, 5185, 5353, 5429, 5777, 5785, 5917
Offset: 1
Keywords
Examples
221 is a term since the following primitive Pythagorean triples have 221 in first, second and third position: (221, 24420, 24421), (60, 221, 229), (21, 220, 221).
Links
- Mathematics Stack Exchange, Is there an integer that serves as the short leg of a primitive Pythagorean triple, the long leg of another, and the hypotenuse of a third?
- Rémy Sigrist, PARI program
Programs
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PARI
\\ See Links section.
Formula
a(n) == 1 (mod 4). - Hugo Pfoertner, Aug 18 2024
Extensions
More terms from Rémy Sigrist, Aug 17 2024