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Search: id:A056213
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| A056213 |
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Primes p for which the period of reciprocal = (p-1)/8. |
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+0
4
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| 41, 241, 1601, 1609, 2441, 2969, 3041, 3449, 3929, 4001, 4409, 5009, 6089, 6521, 6841, 8161, 8329, 8609, 9001, 9041, 9929, 13001, 13241, 14081, 14929, 16001, 16481, 17489, 17881, 18121, 19001, 20249, 20641, 20921, 21529, 22481, 23801
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Cyclic numbers of the eighth degree (or eighth order): the reciprocals of these numbers belong to one of eight different cycles. Each cycle has the (number minus 1)/8 digits.
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LINKS
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Index entries for sequences related to decimal expansion of 1/n
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MATHEMATICA
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f[n_Integer] := Block[{ds = Divisors[n - 1]}, (n - 1)/Take[ ds, Position[ PowerMod[ 10, ds, n], 1] [[1, 1]]] [[ -1]]]; Select[ Prime[ Range[4, 2700]], f[ # ] == 8 &]
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CROSSREFS
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Adjacent sequences: A056210 A056211 A056212 this_sequence A056214 A056215 A056216
Sequence in context: A142943 A142183 A098675 this_sequence A068707 A069761 A140634
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 02 2000
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EXTENSIONS
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Edited by njas, Apr 30 2007
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