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A128369 a(n) = least k such that the remainder when 29^k is divided by k is n. 14
2, 3, 13, 5, 22, 23, 11, 9, 26, 19, 51, 17, 46, 15, 118, 178523, 152, 92634008921, 102, 24369, 82, 2873, 93, 25, 34, 27, 74, 11227, 31, 39259, 830, 69, 136, 817, 62, 2429, 66, 24351, 802, 121, 184, 3405997613, 714, 45, 398, 5846879, 794, 221, 114 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(408) = 9848641373 = 60343 * 163211.

a(756) = 10012502599 = 11 * 19 * 47906711.

a(886) = 12256265747, a(966) = 10085567837. - Daniel Morel, Jun 08 2010

a(378) = 31113438371, a(492) = 18377996647, a(730) = 22778710711. - Daniel Morel, Jul 05 2010

a(802) = 20290196677, a(826) = 21466370573. - Daniel Morel, Aug 24 2010

LINKS

Table of n, a(n) for n=1..49.

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[29, k, k]; If[a < 10001 && t[[a]] == 0, t[[a]] = k; Print[{a, k}]]; k++ ]; t (* Robert G. Wilson v, Aug 06 2009 *)

CROSSREFS

Cf. A128361, A128362, A128363, A128364, A128365, A128366, A128367, A128368, A129370, A128371, A128372.

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: A067523 A035515 A076988 * A087568 A087564 A192362

Adjacent sequences:  A128366 A128367 A128368 * A128370 A128371 A128372

KEYWORD

hard,nonn

AUTHOR

Alexander Adamchuk, Feb 27 2007

STATUS

approved

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Last modified March 29 15:31 EDT 2017. Contains 284273 sequences.