On sums of seven cubes
François Bertault, Olivier Ramaré, Peter B. Zimmermann · Mathematics of Computation · 1999
We show that every integer between 1290741 and 3.375 × 10 12 3.375\times 10^{12} is a sum of 5 nonnegative cubes, from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 nonnegative cubes.