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

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.

9 pages

References in corpus (1)

• Every multiple of 4 except 212, 364, 420, and 428 is the sum of seven cubes