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Search: id:A119714
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| A119714 |
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a(n) = least k such that the remainder when 8^k is divided by k is n. |
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+0
35
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| 7, 3, 5, 6, 39, 58, 7342733, 9, 36196439, 18, 501, 26, 13607, 249, 119, 20, 33, 25, 866401, 22, 533, 35, 185, 50, 196673, 27, 1843, 36, 69, 34, 551, 55, 3773365, 110, 159, 116, 355, 237, 8401, 52, 471, 81815, 85, 261, 11783479, 3258, 93, 92, 1885511821439
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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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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MATHEMATICA
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Do[k = 1; While[PowerMod[8, k, k] != n, k++ ]; Print[k], {n, 48}]
t = Table[0, {10000}]; k = 1; lst = {}; While[k < 4300000000, a = PowerMod[8, k, k]; If[ a<10001 && t[[a]]==0, t[[a]]=k; Print[{a, k}]]; k++ ]; t
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CROSSREFS
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Cf. A036236, A078457, A119678, A119679, A127816, A119715, A127817, A127818, A127819, A127820, A127821.
Sequence in context: A011476 A021140 A155987 this_sequence A154889 A135002 A084714
Adjacent sequences: A119711 A119712 A119713 this_sequence A119715 A119716 A119717
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KEYWORD
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hard,nonn
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AUTHOR
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Ryan Propper (rpropper(AT)stanford.edu), Jun 12 2006
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EXTENSIONS
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a(49) <= 122302226302391 from Max Alekseyev (maxale(AT)gmail.com), Feb 04 2007
a(49) <= 1885511821439 from Joe K. Crump (joecr(AT)carolina.rr.com), Feb 10 2007
I extended the Mathematica coding to reflect the new search limits as posted in the b text file Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 17 2009
Value of a(49) as conjectured by J. K. Crump verified by Hagen von Eitzen (math(AT)von-eitzen.de), Jul 24 2009
a(61) = 1802190094793 = 11 * 59 * 17839 * 155663. [From Hagen von Eitzen (math(AT)von-eitzen.de), Jul 28 2009]
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