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Search: id:A125648
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| A125648 |
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Smallest odd prime base q such that p^7 divides q^(p-1) - 1, where p = Prime[n]. |
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12
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| 257, 4373, 735443, 3294173, 28723679, 533810141, 38277341, 47579927, 982740799, 33956348611, 77141582851, 174329354539, 82984891817, 109051450427, 83209719751, 1352085061013, 171168499897, 1822904926391, 2870322429133, 3589197993463, 2603594622571, 5834621843669, 1411025860033, 20635686238253, 1580041060459, 26763849212297, 8216934406781, 28482190726739, 97876187600351
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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W. Keller and J. Richstein Fermat quotients that are divisible by p.
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PROGRAM
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(PARI) { a(n) = local(p, x, y); if(n==1, return(257)); p=prime(n); x=znprimroot(p^7)^(p^6); vecsort( vector(p-1, i, y=lift(x^i); while(!isprime(y), y+=p^7); y ) )[1] } - Max Alekseyev (maxale(AT)gmail.com), May 30 2007
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CROSSREFS
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Cf. A125609, A125610, A125611, A125612, A125632, A125633, A125634, A125635, A125636, A125637, A125645, A125646, A125647, A125649.
Sequence in context: A070184 A054801 A031604 this_sequence A155468 A034682 A017679
Adjacent sequences: A125645 A125646 A125647 this_sequence A125649 A125650 A125651
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 29 2006
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EXTENSIONS
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More terms from Max Alekseyev (maxale(AT)gmail.com), May 30 2007
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