Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #9 May 29 2014 11:47:12
%S 6,12,18,24,30,36,48,54,60,66,78,84
%N For any number m there is a number k such that m-k^3 is congruent mod 96 to one of these 12 numbers.
%C Arises in studying Waring's problem for cubes.
%D Edmund Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Chelsea Publishing, NY 1953, p. 356, Hilfssatz 2.
%e For example, if m = 0 we take k = 18, 0 - 18^3 = -5832 = 24 mod 96 and 24 is a member.
%K nonn,fini,full
%O 1,1
%A _N. J. A. Sloane_, May 29 2014