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A128150 Least k such that n^k (mod k) = (n-1)^2, or 0 if no such k exists. +0
22
0, 41459, 35, 9569200211, 2673413, 10596486211, 1885511821439, 235, 12722173, 1971782729, 133617287, 14873, 1465, 1606870609, 4247, 129015968122421, 526673, 835, 1079115301, 12148589879, 12351683 (list; graph; listen)
OFFSET

2,2

EXAMPLE

a(2) = A036236(1) = 0,

a(3) = A078457(2^2) = 41459,

a(4) = A119678(3^2) = 35,

a(5) = A119679(4^2) = 9569200211,

a(6) = A127816(5^2) = 2673413,

a(7) = A119715(6^2) = 10596486211,

a(8) = A119714(7^2) = 1885511821439,

a(9) = A127817(8^2) = 235,

a(10) = A127818(9^2) = 12722173,

a(11) = A127819(100) = 1971782729,

a(12) = A127820(121) = 133617287,

a(13) = A127821(144) = 14873,

a(14) = A128154(169) = 1465,

a(15) = A128155(196) = 1606870609,

a(16) = A128156(225) = 4247,

a(17) = A128157(256) = 129015968122421,

a(18) = A128158(289) = 526673,

a(19) = A128159(324) = 835,

a(20) = A128160(361) = 1079115301,

a(21) = A128361(400) = 12148589879,

a(22) = A128362(441) = 12351683,

a(23) = A128363(484) > 18650099999,

a(24) = A128364(529) = 6385,

a(25) = A128365(576) = 5809,

a(26) = A128366(625) > 10909999999,

a(27) = A128367(676) = 299651,

a(28) = A128368(729) > 5000000000,

a(29) = A128369(784) = 2645,

a(30) = A128370(841) > 5100000000,

a(31) = A128371(900) = 1051624907,

a(32) = A128372(961) = 725521, etc.

CROSSREFS

Cf. A128148, A128149, A128172, A036236, A078457, A119678, A119679, A127816, A119715, A119714, A127817, A127818, A127819, A127820, A127821, A128154, A128155, A128156, A128157, A128158, A128159, A128160, A128361, A128362, A128363, A128364, A128365, A128366, A128367, A128368, A128369, A128370, A128371, A128372.

Sequence in context: A141711 A074379 A027577 this_sequence A165114 A002879 A163392

Adjacent sequences: A128147 A128148 A128149 this_sequence A128151 A128152 A128153

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 16 2007, May 06 2007

EXTENSIONS

More terms from Alexander Adamchuk (alex(AT)kolmogorov.com), Dec 24 2007

a(13), a(14), a(16), a(18), a(19), a(24), a(25), a(27), a(29) & a(32). - Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 17 2008

Corrected A-number in cross-reference. Copied a(8) to a(16) from other sequences. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 08 2009

Edited by Robert G. Wilson v (rgwv@rgwv.com), Aug 20 2009

a(17) from Joe Crump (joecr@carolina.rr.com), Sep 17 2009.

More terms and general editing from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 30 2009

a(20), a(21) & a(22) from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 17 2009

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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