login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A018889 Shortest representation as 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

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-Fran├žois 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,nice

AUTHOR

Anon

EXTENSIONS

Corrected by Arlin Anderson (starship1(AT)gmail.com).

Additional comments from Jud McCranie.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 13 20:27 EST 2019. Contains 329973 sequences. (Running on oeis4.)