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A127816
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a(n) = least k >= 1 such that the remainder when 6^k is divided by k is n.
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38
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5, 34, 213, 68, 4021227877, 7, 121129, 14, 69, 26, 767, 51, 6191, 22, 201, 20, 1919, 33, 169, 44, 39, 1778, 1926049, 174, 2673413, 50, 63, 451, 1257243481237, 93, 851, 316, 183, 14809, 1969, 38, 1362959, 1826, 177, 289, 65, 87, 5567, 1252, 57, 1651, 6403249
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(7^k-1) = 7^k.
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LINKS
| Robert G. Wilson v, Table of n, a(n) for n = 1..10000 with -1 for those entries where a(n) has not yet been found
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FORMULA
| a(7^k-1) = 7^k.
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MATHEMATICA
| t = Table[0, {10000}]; k = 1; lst = {}; While[k < 5600000000, a = PowerMod[6, k, k]; If[ a<10001 && t[[a]]==0, t[[a]]=k; Print[{a, k}]]; k++ ]; t
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CROSSREFS
| Cf. A036236, A078457, A119678, A119679, A119715, A119714, A127817, A127818, A127819, A127820, A127821.
Sequence in context: A167023 A121831 A076708 * A024063 A015545 A102436
Adjacent sequences: A127813 A127814 A127815 * A127817 A127818 A127819
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KEYWORD
| hard,nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Jan 30 2007, Feb 05 2007
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EXTENSIONS
| a(5) <= 20866130267 from Max Alekseyev (maxale(AT)gmail.com), Feb 06 2007
a(5) <= 4021227877 from Joe K. Crump (joecr(AT)carolina.rr.com), Feb 10 2007
a(29) <= 1257243481237 from Joe K. Crump (joecr(AT)carolina.rr.com), Feb 09 2007
a(5) through a(28) from Ryan Propper (rpropper(AT)stanford.edu), Feb 21 2007
I combined the two Mathematica codings into one and extended the search limits Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 16 2009
a(29) as conjectured by J. K. Crump confirmed by Hagen von Eitzen (math(AT)von-eitzen.de), Jul 21 2009
Corrected authorship of the a-file - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 24 2009
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