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A127051
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Primes p such that denominator of Sum_{k=1..p-1} 1/k^7} is a seventh power.
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6
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2, 3, 5, 11, 13, 17, 29, 31, 37, 41, 83, 131, 251, 257, 263, 269, 271, 293, 419, 421, 479, 1163, 1171, 1181, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 3137, 3163, 3167, 3169, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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MAPLE
| d[n_] := Module[{}, su = 0; a = {}; For[i = 1, i <= n, i++, su = su + 1/ i^7; If[PrimeQ[i + 1], If[IntegerQ[(Denominator[su])^(1/7)], AppendTo[a, i + 1]]]]; a] d[2000]
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CROSSREFS
| Cf. A061002, A034602, A127029, A127042, A127046, A127047, A127048.
Sequence in context: A040044 A140549 A127046 * A127045 A141830 A127048
Adjacent sequences: A127048 A127049 A127050 * A127052 A127053 A127054
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Jan 03 2007
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