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A006559
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Short period primes: the decimal expansion of 1/p has period less than p-1, but greater than zero.
(Formerly M2881)
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3
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3, 11, 13, 31, 37, 41, 43, 53, 67, 71, 73, 79, 83, 89, 101, 103, 107, 127, 137, 139, 151, 157, 163, 173, 191, 197, 199, 211, 227, 239, 241, 251, 271, 277, 281, 283, 293, 307, 311, 317, 331, 347, 349, 353, 359, 373, 397, 401, 409, 421, 431, 439, 443, 449, 457
(list;
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OFFSET
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1,1
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COMMENTS
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Primes 2 and 5 are excluded because 1/2 and 1/5 have no period. Also primes p whose multiplicative order mod p is less than p-1.
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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).
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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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Select[Prime[Range[100]], MultiplicativeOrder[10, #] < # - 1 &]
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CROSSREFS
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Cf. A006883.
Sequence in context: A019374 A033680 A032917 * A023248 A199341 A111488
Adjacent sequences: A006556 A006557 A006558 * A006560 A006561 A006562
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KEYWORD
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nonn,easy,nice,base
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from James A. Sellers, Aug 21 2000
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STATUS
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approved
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