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Search: id:A056216
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| A056216 |
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Primes p for which the period of reciprocal = (p-1)/11. |
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+0
3
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| 353, 3499, 10429, 13619, 15269, 20219, 20593, 23057, 23189, 24091, 25741, 30713, 35509, 38567, 45233, 49171, 57179, 57223, 60149, 63691, 63977, 67783, 77023, 85229, 88463, 90619, 91367, 93941, 96779, 108967, 109913, 110221, 112069
(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 eleventh degree (or eleventh order): the reciprocals of these numbers belong to one of eleven different cycles. Each cycle has the (number minus 1)/11 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, 11000]], f[ # ] == 11 &]
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CROSSREFS
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Adjacent sequences: A056213 A056214 A056215 this_sequence A056217 A056218 A056219
Sequence in context: A126657 A122718 A098678 this_sequence A101219 A134820 A126113
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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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