A003572 Order of 3 mod 3n+2.

1, 4, 2, 5, 6, 16, 4, 11, 3, 28, 8, 12, 18, 8, 10, 23, 20, 52, 6, 29, 30, 12, 16, 35, 18, 30, 4, 41, 42, 88, 22, 36, 42, 100, 6, 53, 20, 112, 28, 48, 10, 100, 32, 65, 22, 136, 12, 15, 12, 148, 18, 60, 78, 66, 8, 83, 16, 172

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Jinyuan Wang, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A002326, A003571, A003574, A217852.

Programs

GAP

List([0..60],n->OrderMod(3,3*n+2)); # Muniru A Asiru, Feb 16 2019

Maple

with(numtheory): f := n->order(3,3*n+2);

Mathematica

Table[MultiplicativeOrder[3, 3*n + 2], {n, 0, 57}] (* Jinyuan Wang, Feb 16 2019 *)

PARI

a(n) = znorder(Mod(3, 3*n+2)); \\ Michel Marcus, Feb 16 2019