Document Type

Publication - Article

Enumerating Primitive Pythagorean Triples

Department

Physics & Engineering

Date of Activity

Winter 2-13-2024

Abstract

All primitive Pythagorean triples (PPTs) are generated using an enumeration that highlights certain meaningful patterns. However this algorithm produces some nonprimitive Pythagorean triples; these are referred to here as "near-primitive" Pythagorean triples (NPPTs). All PPTs and NPPTs are shown graphically as points on upward-opening parabolic curves, for which a simple integer-valued function is given below. Analysis identifies the exact requirements for a PT to be an NPPT.

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