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arXiv · 1009.3983

Every even number greater than 454 is the sum of seven cubes

Noam D. Elkies
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Abstract

It is conjectured that every integer N>454 is the sum of seven nonnegative cubes. We prove the conjecture when N is congruent to 2 mod 4. This result, together with a recent proof for 4|N, shows that the conjecture is true for all even N.

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Noam D. Elkies. 2010-09-21. Every even number greater than 454 is the sum of seven cubes. https://arxiv.org/abs/1009.3983

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