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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 (list; graph; refs; listen; history; internal format)
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

Sequence in context: A050088 A163864 A112591 * A194036 A194100 A142867

Adjacent sequences:  A106031 A106032 A106033 * A106035 A106036 A106037

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), May 05 2005

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), May 07 2005

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.