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

Author

Michel Lagneau, Nov 04 2012

Keywords

• nonn

Examples

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

Crossrefs

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

Programs

Mathematica

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