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A104492
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Cube excess of the n-th prime.
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4
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1, 2, 4, 6, 3, 5, 9, 11, 15, 2, 4, 10, 14, 16, 20, 26, 32, 34, 3, 7, 9, 15, 19, 25, 33, 37, 39, 43, 45, 49, 2, 6, 12, 14, 24, 26, 32, 38, 42, 48, 54, 56, 66, 68, 72, 74, 86, 7, 11, 13, 17, 23, 25, 35, 41, 47, 53, 55, 61, 65, 67, 77, 91, 95, 97, 101, 115, 121, 4, 6, 10, 16, 24, 30
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = A055400(A000040(n))
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EXAMPLE
| a(48) = 7 because the 48th prime is 223 and 223 - 6^3 = 7,
while 223-7^3 = -120.
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MATHEMATICA
| lst={}; Do[p=Prime[n]; s=p^(1/3); f=Floor[s]; a=f^3; d=p-a; AppendTo[lst, d], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 11 2009]
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CROSSREFS
| Cf. A000040, A053186, A055400, A056892, A102821.
Sequence in context: A077179 A076179 A175213 * A075075 A088178 A161184
Adjacent sequences: A104489 A104490 A104491 * A104493 A104494 A104495
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KEYWORD
| easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 10 2005
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