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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.
0
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.
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
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, May 29 2014
STATUS
approved