A Direct Method To Generate Pythagorean Triples And Its

the classical formulas produce all primitive triples they do not generate all possible triples, especially ... be generated using a set of linear tran...

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May 9, 2012 - group of PPTs is a free abelian group generated by all primitive triples (a, b, c), where a>b and c is a ... and thus the group of PPTs is identified with the subgroup of all rational points on S1. Analysis of this ... missing in [1]. W

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we conclude and. 8mod1. 2. 1. ≡. ≡ d d. 5. ,1 2. 1. ≡. ≡ δ δ or. 8mod1. ,5 1. 1. ≡. ≡ δ δ . Then, however, the first congruence in (8) implies. 8mod0. 2 2 ≡ δ. , a contradiction since 2 δ is odd. ~ 4 ~. Now, if and. , we obtain, f

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