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arXiv · 2310.06060

Research for a set of particular primitive Pythagorean triples

Yasushi Ieno
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Abstract

The set of terms of an infinite sequence expressed by a recurrence relation is equal to the set of maximum numbers of all primitive Pythagorean triples such that the difference between the two non-maximum numbers is 1, which Cimmino showed. By reference to Cimmino's researches, we show a recurrence relation for the case where the difference between the two non-maximum numbers is not 1, but 7.

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Yasushi Ieno. 2022-12-23. Research for a set of particular primitive Pythagorean triples. https://arxiv.org/abs/2310.06060

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