A218716 a(n) is smallest number such that a(n)^2 + 1 is divisible by 61^n.

0, 11, 682, 51412, 6304056, 144762466, 9435321777, 988322434636, 71294762793847, 3138611770750343, 283798117998769727, 15409745938584647495, 320007169218635518122, 45443939732277600209579, 207359227164430355867160, 59053635973003478214807486

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Example

a(3) = 51412 because 51412^2+1 = 5 * 17 * 61 ^ 3 * 137.

Mathematica

b=11; n61=61; jo=Join[{0, b}, Table[n61=61*n61; b=PowerMod[b, 61, n61]; b=Min[b, n61-b], {99}]]

Crossrefs

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

Sequence in context: A036933 A195889 A195519 * A232355 A301732 A028457

Adjacent sequences: A218713 A218714 A218715 * A218717 A218718 A218719

Keyword

nonn

Author

Michel Lagneau, Nov 04 2012

Status

approved