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Search: id:A133864
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| A133864 |
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Smallest odd prime base q such that p^14 divides q^(p-1) - 1, where p = Prime[n]. |
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+0
7
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| 65537, 19131877, 53834264557, 1356446145697, 488581592070877, 22771419458231473, 346100334752156863, 2467410166021233673
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(1) = A035089(14) = 65537.
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MATHEMATICA
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Do[ k = 1; While[ !PowerMod[ Prime[ k ], Prime[ n ] - 1, Prime[ n ]^14 ] == 1, k++ ]; Print[ { n, Prime[ k ] } ], {n, 1, 100} ]
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CROSSREFS
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Cf. A035089, A125609, A125610, A125611, A125612, A125632, A125633, A125634, A125635, A125636, A125637, A125645, A125646, A125647, A125648, A125649, A133859, A133860, A133861, A133862, A133863, A133865.
Sequence in context: A051332 A123388 A070816 this_sequence A017695 A013964 A036094
Adjacent sequences: A133861 A133862 A133863 this_sequence A133865 A133866 A133867
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KEYWORD
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hard,more,nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Sep 26 2007
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