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Search: id:A060259
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| A060259 |
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Denoting 4 consecutive primes by p, q, r and s, these are the values of q such that q and r have 10 as a primitive root, but p and s do not. |
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+0
4
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| 59, 109, 179, 229, 571, 701, 937, 1019, 1171, 1429, 1619, 1777, 1811, 1847, 2063, 2269, 2297, 2339, 2383, 2447, 2731, 2819, 2927, 3257, 3299, 3331, 3461, 3571, 3593, 3617, 3701, 3833, 3967, 4139, 4259, 4421, 4567, 4691, 4937, 5087, 5153, 5179, 5417
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OFFSET
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0,1
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COMMENT
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A prime p has 10 as a primitive root iff the length of the period of the decimal expansion of 1/p is p-1.
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MATHEMATICA
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test[p_] := MultiplicativeOrder[10, p]===p-1; Prime/@Select[Range[2, 800], test[Prime[ # ]]&&test[Prime[ #+1]]&&!test[Prime[ #-1]]&&!test[Prime[ #+2]]&]
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CROSSREFS
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Cf. A001913, A002371, A060260, A060261, A060262.
Sequence in context: A134573 A106869 A142298 this_sequence A141934 A044246 A044627
Adjacent sequences: A060256 A060257 A060258 this_sequence A060260 A060261 A060262
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KEYWORD
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nonn
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AUTHOR
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Jeff Burch (gburch(AT)erols.com), Mar 23 2001
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EXTENSIONS
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Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Jun 17 2002
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