Every even number greater than 454 is the sum of seven cubes
Number Theory
2010-09-22 v1
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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Cite
@article{arxiv.1009.3983,
title = {Every even number greater than 454 is the sum of seven cubes},
author = {Noam D. Elkies},
journal= {arXiv preprint arXiv:1009.3983},
year = {2010}
}
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9 pages