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A018889
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Shortest representation as sum of positive cubes requires exactly 8 cubes.
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9
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15, 22, 50, 114, 167, 175, 186, 212, 231, 238, 303, 364, 420, 428, 454
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Wieferich proved that 167 is the unique prime in this sequence. - Jonathan Vos Post, Sep 23 2006
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REFERENCES
| J. Bohman and C.-E. Froberg, Numerical investigation of Waring's problem for cubes, Nordisk Tidskr. Informationsbehandling (BIT) 21 (1981), 118-122.
K. S. McCurley, An effective seven-cube theorem, J. Number Theory, 19 (1984), 176-183.
Joe Roberts, Lure of the Integers, entry 239.
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LINKS
| 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
G. L. Honaker, Jr. and Chris Caldwell, et al., A Prime Curios Page.
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MATHEMATICA
| max = 500; nn = Union[(#*#).# & /@ Tuples[Range[0, 7], {7}]][[1 ;; max]]; Select[{#, PowersRepresentations[#, 8, 3]} & /@ Complement[Range[max], nn] , #[[2]] != {} &][[All, 1]] (* From Jean-François Alcover, Jul 21 2011 *)
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CROSSREFS
| Subsequence of A018888.
Sequence in context: A006615 A114867 A109288 * A186525 A065728 A166665
Adjacent sequences: A018886 A018887 A018888 * A018890 A018891 A018892
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KEYWORD
| nonn,fini,full,nice
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AUTHOR
| Anon
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EXTENSIONS
| Corrected by Arlin Anderson (starship1(AT)gmail.com). Additional comments from Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu).
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