A218719 a(n) is smallest number such that a(n)^2 + 1 is divisible by 97^n.

0, 22, 4052, 107551, 22709274, 331407850, 197177418061, 26457926739667, 2369608176604944, 76004727767164666, 25163629663367816827, 1965881512952938486496, 191165497320828772935835, 21700278688179406782082106, 560121950820639295011033922

Offset

0,2

Links

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

Example

a(3) = 107551 because 107551^2+1 = 2 * 97 ^ 3 * 6337.

Mathematica

b=22; n97=97; jo=Join[{0, b}, Table[n97=97*n97; b=PowerMod[b, 97, n97]; b=Min[b, n97-b], {99}]]

Crossrefs

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

Sequence in context: A114942 A155885 A362901 * A109776 A110802 A200460

Adjacent sequences: A218716 A218717 A218718 * A218720 A218721 A218722

Keyword

nonn

Author

Michel Lagneau, Nov 04 2012

Status

approved