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Search: id:A003060
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| A003060 |
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Smallest number with reciprocal of period n.
(Formerly M2886)
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+0
1
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| 1, 3, 11, 27, 101, 41, 7, 239, 73, 81, 451, 21649, 707, 53, 2629, 31, 17, 2071723, 19, 1111111111111111111, 3541, 43, 23, 11111111111111111111111, 511, 21401, 583, 243, 29, 3191, 211
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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For n>0, a(n) is the least divisor d>1 of 10^n-1 such that the multiplicative order of 10 mod d is n. For prime n, a(n)=A007138(n). - T. D. Noe, Aug 07 2007
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
"Cycle lengths of reciprocals", Popular Computing (Calabasas, CA), Vol. 1 (No. 4, Jul 1973), pp. 12-14.
J. Brillhart et al., Factorizations of b^n +- 1. Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 2nd edition, 1985; and later supplements.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
Index entries for sequences related to decimal expansion of 1/n
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CROSSREFS
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Sequence in context: A077776 A113836 A036571 this_sequence A136983 A119074 A163696
Adjacent sequences: A003057 A003058 A003059 this_sequence A003061 A003062 A003063
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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