A218713 a(n) is smallest number such that a(n)^2 + 1 is divisible by 37^n.

0, 6, 117, 9466, 800982, 6423465, 756360062, 24900904028, 1019349744435, 15069267560119, 794839706330581, 71333925879937154, 2419512779032508628, 116073623326088126430, 359642847542169431827, 144552623583462302226851, 3523356323886506075746572

Offset: 0

Author

Michel Lagneau, Nov 04 2012

Keywords

• nonn

Examples

			a(3) = 9466 because 9466^2+1 =  29 * 37 ^ 3 * 61.
		

Crossrefs

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

Programs

Mathematica

b=6;n37=37;jo=Join[{0,b},Table[n37=37*n37;b=PowerMod[b,37,n37];b=Min[b,n37-b],{99}]]