cp's OEIS Frontend

A128150 Least k such that n^k mod k = (n-1)^2, or 0 if no such k exists.

%I A128150 #34 Mar 15 2015 20:13:24
%S A128150 0,41459,35,9569200211,2673413,10596486211,1885511821439,235,12722173,
%T A128150 1971782729,133617287,14873,1465,1606870609,4247,129015968122421,
%U A128150 526673,835,1079115301,12148589879,12351683,36947690849,6385,5809
%N A128150 Least k such that n^k mod k = (n-1)^2, or 0 if no such k exists.
%e A128150 a(2) = A036236(1) = 0,
%e A128150 a(3) = A078457(2^2) = 41459,
%e A128150 a(4) = A119678(3^2) = 35,
%e A128150 a(5) = A119679(4^2) = 9569200211,
%e A128150 a(6) = A127816(5^2) = 2673413,
%e A128150 a(7) = A119715(6^2) = 10596486211,
%e A128150 a(8) = A119714(7^2) = 1885511821439,
%e A128150 a(9) = A127817(8^2) = 235,
%e A128150 a(10) = A127818(9^2) = 12722173,
%e A128150 a(11) = A127819(100) = 1971782729,
%e A128150 a(12) = A127820(121) = 133617287,
%e A128150 a(13) = A127821(144) = 14873,
%e A128150 a(14) = A128154(169) = 1465,
%e A128150 a(15) = A128155(196) = 1606870609,
%e A128150 a(16) = A128156(225) = 4247,
%e A128150 a(17) = A128157(256) = 129015968122421,
%e A128150 a(18) = A128158(289) = 526673,
%e A128150 a(19) = A128159(324) = 835,
%e A128150 a(20) = A128160(361) = 1079115301,
%e A128150 a(21) = A128361(400) = 12148589879,
%e A128150 a(22) = A128362(441) = 12351683,
%e A128150 a(23) = A128363(484) = 36947690849,
%e A128150 a(24) = A128364(529) = 6385,
%e A128150 a(25) = A128365(576) = 5809,
%e A128150 a(26) = A128366(625) > 10^15,
%e A128150 a(27) = A128367(676) = 299651,
%e A128150 a(28) = A128368(729) > 10^14,
%e A128150 a(29) = A128369(784) = 2645,
%e A128150 a(30) = A128370(841) = 13633321649263,
%e A128150 a(31) = A128371(900) = 1051624907,
%e A128150 a(32) = A128372(961) = 725521, etc.
%Y A128150 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.
%K A128150 hard,nonn
%O A128150 2,2
%A A128150 _Alexander Adamchuk_, Feb 16 2007, May 06 2007
%E A128150 More terms from _Alexander Adamchuk_, Dec 24 2007
%E A128150 a(13), a(14), a(16), a(18), a(19), a(24), a(25), a(27), a(29), a(32) from _Alexander Adamchuk_, Feb 17 2008
%E A128150 Corrected A-number in cross-reference. Copied a(8) to a(16) from other sequences. - _R. J. Mathar_, Aug 08 2009
%E A128150 Edited by _Robert G. Wilson v_, Aug 20 2009
%E A128150 a(17) from Joe Crump (joecr(AT)carolina.rr.com), Sep 17 2009.
%E A128150 More terms and general editing from _Robert G. Wilson v_, Sep 30 2009
%E A128150 a(20)-a(22) from _Robert G. Wilson v_, Oct 17 2009
%E A128150 a(23), a(30) from _Max Alekseyev_, Feb 11, Mar 31 2010