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A018889 Numbers whose shortest representation as a sum of positive cubes requires exactly 8 cubes. 9
15, 22, 50, 114, 167, 175, 186, 212, 231, 238, 303, 364, 420, 428, 454 (list; graph; refs; listen; history; text; internal format)
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
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
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
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

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)