A218714 a(n) is smallest number such that a(n)^2 + 1 is divisible by 41^n.

0, 9, 378, 11389, 1251967, 46464143, 2363588163, 92615568742, 287369842623, 112076323050317, 2403749863808044, 56094387104417648, 1156752450536914530, 43970228150195457632, 10132163897314954464899, 503212117431217218892992, 19164391897329672149556204

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Example

a(3) = 11389 because 11389^2+1 =  2 * 41 ^ 3 * 941.

Mathematica

b=9; n41=41; jo=Join[{0, b}, Table[n41=41*n41; b=PowerMod[b, 41, n41]; b=Min[b, n41-b], {99}]]

Crossrefs

Cf. A002522, A049532, A034939, A218709, A218710, A218712, A218713.

Sequence in context: A051848 A238561 A290574 * A157567 A157593 A157602

Adjacent sequences: A218711 A218712 A218713 * A218715 A218716 A218717

Keyword

nonn

Author

Michel Lagneau, Nov 04 2012

Status

approved