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A106034
a(n) is the least number such that n*prime(n)+a(n) is a perfect cube.
0
6, 2, 12, 36, 9, 47, 6, 64, 9, 53, 2, 68, 196, 127, 24, 152, 328, 233, 58, 308, 195, 459, 288, 61, 319, 118, 594, 379, 214, 706, 159, 721, 392, 187, 617, 396, 23, 665, 346, 1080, 661, 398, 1048, 769, 396, 107, 731, 1463, 1044, 717, 284, 1396, 1051, 270, 1490, 897
OFFSET
1,1
EXAMPLE
a(10)=53 because 10*prime(10)+a(10) = 10*29 + 53 = 343 = 7^3.
MATHEMATICA
f[n_] := (Ceiling[(n*Prime[n])^(1/3)])^3 - n*Prime[n]; Table[f[n], {n, 100}]
CROSSREFS
Cf. A014688.
Sequence in context: A163864 A015808 A112591 * A194036 A194100 A332351
KEYWORD
nonn
AUTHOR
Zak Seidov, May 05 2005
EXTENSIONS
Extended by Ray Chandler, May 07 2005
STATUS
approved