Rad HAZU, Matematičke znanosti, Vol. 30 (2026), 51-63. \( \)

EXPRESSING THREE CONSECUTIVE INTEGERS AS SUMS OF THREE CUBES

Ajai Choudhry

13/4 A Clay Square, Lucknow - 226001, India
e-mail:ajaic203@yahoo.com

Abstract.   This paper is concerned with the problem of expressing three consecutive integers as sums of three cubes. We give several parametric solutions of the problem. We also give some examples of five and seven consecutive integers that can all be expressed as sums of three cubes. We conclude the paper with an open problem regarding four or more consecutive integers expressible as sums of three cubes.

2020 Mathematics Subject Classification.   11D25

Key words and phrases.   Sums of three cubes, consecutive integers

https://doi.org/10.21857/ygjwrce5ry

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