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Arithmetic Progressions on Huff Curves



Dustin Moody


We look at arithmetic progressions on elliptic curves known as Huff curves. By an arithmetic progression on an elliptic curve, we mean that either the x or y-coordinates of a sequence of rational points on the curve form an arithmetic progression. Previous work has found arithmetic progressions on Weierstrass curves, quartic curves, Edwards curves, and genus 2 curves. We find an infinite number of Huff curves with an arithmetic progression of length 9.
Annales Mathematicae et Informaticae


Diophantine equations, arithmetic progressions, elliptic curves


Moody, D. (2012), Arithmetic Progressions on Huff Curves, Annales Mathematicae et Informaticae, [online], (Accessed April 13, 2024)
Created July 23, 2012, Updated February 19, 2017