A242650 For any number m there is a number k such that m-k^3 is congruent mod 96 to one of these 12 numbers.

6, 12, 18, 24, 30, 36, 48, 54, 60, 66, 78, 84

Offset

1,1

Comments

Arises in studying Waring's problem for cubes.

References

Edmund Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Chelsea Publishing, NY 1953, p. 356, Hilfssatz 2.

Links

Table of n, a(n) for n=1..12.

Example

For example, if m = 0 we take k = 18, 0 - 18^3 = -5832 = 24 mod 96 and 24 is a member.

Crossrefs

Sequence in context: A187389 A085129 A236240 * A083263 A194385 A043369

Adjacent sequences: A242647 A242648 A242649 * A242651 A242652 A242653

Keyword

nonn,fini,full

Author

N. J. A. Sloane, May 29 2014

Status

approved