A127819 a(n) = least k such that the remainder when 11^k is divided by k is n.

2, 3, 118, 7, 39, 155, 38, 9, 14, 18659, 13, 8153, 92, 1317, 106, 35, 26, 49, 34, 57, 68, 253, 327, 1271, 28, 27, 94, 1633, 46, 161, 415, 1141, 44, 909589, 86, 161015, 119, 1293, 82, 673279, 129, 577679, 4578, 77, 164, 65, 74, 3589, 76, 147, 115

Offset: 1

Author

Alexander Adamchuk, Jan 30 2007

Keywords

• nonn

Links

• Daniel Morel, Table of n, a(n) for n = 1..189
• Daniel Morel, Robert G. Wilson v et al., Table of n, a(n) for n = 1..10000 with -1 for large entries where a(n) has not yet been found

Crossrefs

Cf. A036236, A078457, A119678, A119679, A127816, A119715, A119714, A127817, A127818, A127820, A127821.

Programs

Mathematica

t = Table[0, {10000} ]; k = 1; While[ k < 4300000000, a = PowerMod[11, k, k]; If[a < 10001 && t[[a]] == 0, t[[a]] = k; Print[{a, k}]]; k++ ]; t
f[n_]:=Module[{k=1},While[PowerMod[11,k,k]!=n,k++];k]; Array[f,51] (* Harvey P. Dale, Mar 12 2013 *)

Extensions

a(52) from Max Alekseyev & Joe K. Crump (joecr(AT)carolina.rr.com), Feb 06 2007

a(108), a(514), a(754), a(808), a(820), a(880), a(934), a(948) added by Daniel Morel, May 18 2010, Jun 17 2010

a-file updated by Max Alekseyev, Dec 10 2010

a(112), a(348), a(810) added by Daniel Morel, Mar 12 2015