A128363 - OEIS

A128363

a(n) = least k such that the remainder when 23^k is divided by k is n.

2, 3, 5, 19, 262, 17, 58, 9, 10, 13, 14, 55, 86, 12153, 514, 111823, 95, 25, 30, 12147, 68, 235, 29, 280517, 56, 27, 502, 16805, 51, 49, 166, 35, 62, 1837, 38, 977969, 82, 39, 1370, 289, 122, 9822698929535, 65, 133, 697, 161, 303, 19445, 50, 147, 259, 1247

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..52.

Max Alekseyev et al., 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[23, k, k]; If[a < 10001 && t[[a]] == 0, t[[a]] = k; Print[{a, k}]]; k++ ]; t (* Robert G. Wilson v, Aug 04 2009 *)

CROSSREFS

Cf. A128361, A128362, A128364, A128365, A128366, A128367, A128368, A128369, 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: A028490 A004064 A164061 * A106047 A048826 A321084

Adjacent sequences: A128360 A128361 A128362 * A128364 A128365 A128366

KEYWORD

hard,nonn

AUTHOR

Alexander Adamchuk, Feb 27 2007

EXTENSIONS

a(42), a(64) from Hagen von Eitzen, Aug 04 2009

a(750), a(770), a(234), a(274), a(406), a(600), a(610), a(754) from Daniel Morel, May 31, Aug 24, Sep 20 2010

a(84) from Max Alekseyev, Apr 13 2012

STATUS

approved