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A128372
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a(n) = least k such that the remainder when 32^k is divided by k is n.
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25
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31, 3, 29, 6, 201, 13, 25, 9, 23, 11, 183, 22, 19, 159, 17, 20, 45, 49, 169, 502, 209, 42, 35, 50, 91919, 27, 3265, 36, 1159, 98, 75197, 33, 95, 66, 2817, 38, 1385, 58, 25187, 82, 32727, 982, 55, 117, 7031, 91, 2517, 52, 46528545441593, 57, 503981, 92, 135, 194
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Contribution from Hagen von Eitzen (math(AT)von-eitzen.de), Jun 04 2009: (Start)
Values a(50), ..., a(149) are relatively small again (starting 57, 503981, 92, 135, 194, 576353, 87, 125, 1902, 6019, 323, 43335727, 69, ...). (End)
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LINKS
| Robert G. Wilson v, Table of n, a(n) for n = 1..10000 with -1 for large entries where a(n) has not yet been found
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MATHEMATICA
| t = Table[0, {10000} ]; k = 1; While[ k < 4000000000, a = PowerMod[32, k, k]; If[a < 10001 && t[[a]] == 0, t[[a]] = k; Print[{a, k}]]; k++ ]; t [From Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 06 2009]
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CROSSREFS
| Cf. A128361, A128362, A128363, A128364, A128365, A128366, A128367, A128368, A129369, A128370, A128371. Cf. A036236, A078457, A119678, A119679, A127816, A119715, A119714, A127817, A127818, A127819, A127820, A127821, A128154, A128155, A128156, A128157, A128158, A128159, A128160. Cf. A128149, A128150, A128172.
Sequence in context: A050101 A107811 A109837 * A040942 A153072 A040943
Adjacent sequences: A128369 A128370 A128371 * A128373 A128374 A128375
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KEYWORD
| hard,nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 27 2007
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EXTENSIONS
| Removed incorrect comment. - Hagen von Eitzen (math(AT)von-eitzen.de), Jul 19 2009
a(49) found by Hagen von Eitzen (math(AT)von-eitzen.de), Jul 20 2009
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