Conjectured largest number requiring exactly n cubes to represent.

7373170279850, 1290740, 8042, 454, 239



If the conjecture is true, then all numbers greater than 7373170279850 can be written as a^3 + b^3 + c^3 + d^3 for some nonnegative a, b, c, and d.

T. D. Noe, Plot of 5 terms

Jean-Marc Deshouillers, François Hennecart, Bernard Landreau and appendix by I. Gusti Putu Purnaba, 7373170279850, Math Comp. 69 (2000), p. 421-439.

Cf. A000578, A003325, A003072, A003327, A003328, A018890, A018889S000610, S000611.


T. D. Noe, Apr 29 2015

© Tony D Noe 2014-2015