A333414 Positive integers k such that k divides 17^k + 2.

1, 19, 35, 115, 44095, 211117, 14376053, 43472060395, 561558718915, 2182879071661

Offset: 1

Author

Seiichi Manyama, Mar 20 2020

Keywords

• nonn
• more

Comments

a(8) > 10^10.

a(11) > 4*10^12. - Giovanni Resta, Mar 22 2020

Crossrefs

Solutions to b^n == -2 (mod n): A015973 (b=3), A123062 (b=5), A277370 (b=7), A333413 (b=13), this sequence (b=17).

Cf. A333269.

Programs

PARI

for(k=1, 1e6, if(Mod(17, k)^k==-2, print1(k", ")))

Extensions

a(8)-a(10) from Giovanni Resta, Mar 22 2020