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Inspired by the fact that the sum of the cubes of the first n naturals is equal to the square of their sum, we explore, for each n, the Diophantine equation representing all non-trivial sets of n integers with this property. We find definite answers to the standard question of infinitude of the solutions as well as several other surprising results.
- Diophantine equation
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Cite this paperAPA
Barbeau, E., & Seraj, S. (2013). Sum of cubes is square of sum. Notes on Number Theory and Discrete Mathematics, 19(1), 1-13.Chicago
Barbeau, Edward, and Samer Seraj. “Sum of Cubes is Square of Sum.” Notes on Number Theory and Discrete Mathematics 19, no. 1 (2013): 1-13.MLA
Barbeau, Edward, and Samer Seraj. “Sum of Cubes is Square of Sum.” Notes on Number Theory and Discrete Mathematics 19.1 (2013): 1-13. Print.