A218720 a(n) is smallest number such that a(n)^2 + 1 is divisible by 101^n.

0, 10, 515, 296344, 35764191, 1108900220, 316411915250, 47023298541694, 3156215819652023, 310872228812491206, 28124944860980892220, 3783840171259076226254, 208193145695151069244665, 19364218657938636320485082, 663491749602035014400202724

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Example

a(3) = 296344 because 296344^2+1 = 101 ^ 3 * 85237.

Mathematica

b=10; n101=101; jo=Join[{0, b}, Table[n101=101*n101; b=PowerMod[b, 101, n101]; b=Min[b, n101-b], {99}]]

Crossrefs

Cf. A002522, A049532, A034939, A218709, A218710, A218712, A218713, A218714, A218715, A218716, A218717, A218718, A218719.

Sequence in context: A272394 A356725 A163703 * A180476 A003399 A180359

Adjacent sequences: A218717 A218718 A218719 * A218721 A218722 A218723

Keyword

nonn

Author

Michel Lagneau, Nov 04 2012

Status

approved