It's a conjecture that any number n not congruent to 4 or 5 mod 9 is a sum of three cubes of integers.[1] Some of these cubes can be very large for relatively small sums, e.g. the first known example for \(a^3+b^3+c^3=33\) is a=8866128975287528, b=-8778405442862239, and c=-2736111468807040[1].

Sources

  1. 1.0 1.1 OEIS, Sequence A060464 (accessed 2020-11-29)
Community content is available under CC-BY-SA unless otherwise noted.