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A098999
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Sum of cubes of the first n primes.
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16
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8, 35, 160, 503, 1834, 4031, 8944, 15803, 27970, 52359, 82150, 132803, 201724, 281231, 385054, 533931, 739310, 966291, 1267054, 1624965, 2013982, 2507021, 3078808, 3783777, 4696450, 5726751, 6819478, 8044521, 9339550, 10782447
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = 0.25*n^4*log(n)^3 + O(n^4*log(n)^2*log(log(n))). The proof is similar to proof for A007504(n) (see link of Shevelev). - Vladimir Shevelev, Aug 02 2013
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MATHEMATICA
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P3[n_]:=Sum[Prime[i]^3, {i, 1, n}]; Table[P3[n], {n, 1, 60}]
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PROG
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(PARI) a(n) = sum(i=1, n, prime(i)^3); \\ Michel Marcus, Jan 20 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Suzanne O' Regan (s.m.oregan(AT)student.ucc.ie), Nov 06 2004
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STATUS
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approved
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