Expressing three consecutive integers as sums of three cubes
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Analytic Number Theory Research
Advanced Mathematical Identities
Publication details
- Journal / source
- Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti
- Volume
- 30
- Pages
- 51–63
- Publication date
- 1 January 2026
- Language
- HR