Tag archives for fermat

Primitive Pythagorean Triples on the vine

All Primitive Pythagorean Triples can be shown to belong to a vine-like structure, with a ‘root’, a horizontal ‘main stem’, and binary branching sequences which are seeded from the main stem triples and every other triple below it.

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From Euclid to Fermat

Primitive Pythagorean Triples, or PPT’s, are non-trivial integer solutions to the Pythagorean equation z2 = x2 + y2 where we assume that 0<x<y<z, and that x, y and z are co-prime. Euclid’s formulae allow PPT’s to be generated using 2 (positive integer) parameters, usually denoted by m and n. The PPT’s (usually) take the form […]