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arXiv · 2401.04664

An Elementary Approach For Sums Of Consecutive Cubes Being Prime Power Squares

Atilla Akkuş
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Abstract

This paper proposes an elementary solution to a special case of finding all perfect squares that can be written as sum of consecutive integer cubes. It is shown that there are no non-trivial solutions if the perfect square is a prime power, i.e., it is divisible by two different primes if a non-trivial one exists. Solution mostly depends on $v_{p}(x)$ and general forms of Pythagorean triples.

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Atilla Akkuş. 2024-01-09. An Elementary Approach For Sums Of Consecutive Cubes Being Prime Power Squares. https://arxiv.org/abs/2401.04664

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