A018889 Numbers whose shortest representation as a sum of positive cubes requires exactly 8 cubes.

15, 22, 50, 114, 167, 175, 186, 212, 231, 238, 303, 364, 420, 428, 454

Offset

1,1

Comments

Wieferich proved that 167 is the unique prime in this sequence. - Jonathan Vos Post, Sep 23 2006

References

Joe Roberts, Lure of the Integers, entry 239.

Links

Table of n, a(n) for n=1..15.

Jan Bohman and Carl-Erik Froberg, Numerical investigation of Waring's problem for cubes, Nordisk Tidskr. Informationsbehandling (BIT) 21 (1981), 118-122.

G. L. Honaker, Jr. and Chris Caldwell, et al., A Prime Curios Page.

K. S. McCurley, An effective seven-cube theorem, J. Number Theory, 19 (1984), 176-183.

Eric Weisstein's World of Mathematics, Cubic Number

Eric Weisstein's World of Mathematics, Warings Problem

Index entries for sequences related to sums of cubes

Mathematica

max = 500; nn = Union[(#*#).# & /@ Tuples[Range[0, 7], {7}]][[1 ;; max]]; Select[{#, PowersRepresentations[#, 8, 3]} & /@ Complement[Range[max], nn] , #[[2]] != {} &][[All, 1]] (* Jean-François Alcover, Jul 21 2011 *)

Crossrefs

Subsequence of A018888.

Sequence in context: A006615 A114867 A109288 * A186525 A236107 A065728

Adjacent sequences: A018886 A018887 A018888 * A018890 A018891 A018892

Keyword

nonn,fini,full

Author

Anonymous

Extensions

Corrected by Arlin Anderson.

Additional comments from Jud McCranie.

Edited by N. J. A. Sloane, Aug 10 2022

Status

approved