Every multiple of 4 except 212, 364, 420, and 428 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 a multiple of 4.

8 pages; to appear in Bull. LMS

Cited by in corpus (2)

• Every even number greater than 454 is the sum of seven cubes
• Representations as Sums of Icosahedral and Dodecahedral Numbers: Proof of Pollock's Conjectures