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Search: id:A007498
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| A007498 |
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Unique period lengths of primes mentioned in A007615.
(Formerly M0592)
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+0
8
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| 1, 2, 3, 4, 9, 10, 12, 14, 19, 23, 24, 36, 38, 39, 48, 62, 93, 106, 120, 134, 150, 196, 294, 317, 320, 385, 586, 597, 654, 738, 945, 1031, 1172, 1282, 1404, 1426, 1452, 1521, 1752, 1812, 1836, 1844, 1862, 2134, 2232, 2264, 2667, 3750, 3903, 3927, 4274, 4354
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Chris K. Caldwell, Unique (period) primes and the factorization of cyclotomic polynomials minus one, Mathematica Japonica, 26 (1997), 189-195.
C. K. Caldwell & H. Dubner, Unique-Period Primes, Table 2 in Journal of Recreational Mathematics 29(1) 46 1998.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Samuel Yates, Period Lengths of Exactly One or Two Prime Numbers, J. Rec. Math., 18 (1985), 22-24.
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LINKS
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Ray Chandler, Table of n, a(n) for n = 1..84
Index entries for sequences related to decimal expansion of 1/n
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MATHEMATICA
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lst={1}; Do[p=Cyclotomic[n, 10]/GCD[n, Cyclotomic[n, 10]]; If[PrimeQ[p], AppendTo[lst, n]], {n, 3000}]; lst (Noe)
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CROSSREFS
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Cf. A007615, A002371, A048595, A006883, A007732, A051626.
Sequence in context: A165315 A047339 A084368 this_sequence A073338 A066105 A083180
Adjacent sequences: A007495 A007496 A007497 this_sequence A007499 A007500 A007501
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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), Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
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More terms from T. D. Noe (noe(AT)sspectra.com), Sep 08 2005
a(48)-a(52) from Ray Chandler (rayjchandler(AT)sbcglobal.net), Jul 09 2008
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