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

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

2010-09-21

arxiv.org/abs/1009.3983v1

Mathematics

Number Theory

9 pages

Scientific paper

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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