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Search: id:A056211
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| A056211 |
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Primes p for which the period of reciprocal = (p-1)/6. |
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+0
5
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| 79, 547, 643, 751, 907, 997, 1201, 1213, 1237, 1249, 1483, 1489, 1627, 1723, 1747, 1831, 1879, 1987, 2053, 2551, 2683, 3049, 3253, 3319, 3613, 3919, 4159, 4507, 4519, 4801, 4813, 4831, 4969, 5119, 5443, 5557, 5791, 6079, 6151, 6271, 6373, 6427, 6529
(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 sixth degree (or sixth order): the reciprocals of these numbers belong to one of six different cycles. Each cycle has the (number minus 1)/6 digits.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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, 850]], f[ # ] == 6 &]
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CROSSREFS
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Cf. A001913, A097443, A055628, A056157, A056210-A056217, A098680
Sequence in context: A141563 A107954 A098673 this_sequence A139184 A142235 A152034
Adjacent sequences: A056208 A056209 A056210 this_sequence A056212 A056213 A056214
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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 N. J. A. Sloane (njas(AT)research.att.com), Apr 30 2007
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