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Search: id:A127046
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| A127046 |
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Primes p such that denominator of Sum_{k=1..p-1} 1/k^3} is a cube. |
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+0
10
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| 2, 3, 5, 11, 13, 17, 29, 31, 37, 41, 83, 89, 97, 137, 139, 293, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103
(list; graph; listen)
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OFFSET
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1,1
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MAPLE
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d[n_] := Module[{}, su = 0; a = {}; For[i = 1, i <= n, i++, su = su + 1/ i^3; If[PrimeQ[i + 1], If[IntegerQ[(Denominator[su])^(1/3)], AppendTo[a, i + 1]]]]; a] d[10000]
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CROSSREFS
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Cf. A061002, A034602, A127029, A127042.
Sequence in context: A038947 A095315 A040044 this_sequence A127051 A127045 A127048
Adjacent sequences: A127043 A127044 A127045 this_sequence A127047 A127048 A127049
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Jan 03 2007
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