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A128372 a(n) = least k such that the remainder when 32^k is divided by k is n. +0
14
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; listen)
OFFSET

1,1

COMMENT

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)

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

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]

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 this_sequence A040942 A153072 A040943

Adjacent sequences: A128369 A128370 A128371 this_sequence A128373 A128374 A128375

KEYWORD

hard,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 27 2007

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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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.


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