A277348 Positive integers n such that n | (5^n + 6).

1, 11, 341, 581337017, 7202608727, 27146455379, 1358496201131, 9843739213499, 172392038905691

Offset: 1

Author

Seiichi Manyama, Oct 10 2016

Keywords

• nonn
• more

Comments

No other terms below 10^15. - Max Alekseyev, Oct 17 2016

Examples

			5^11 + 6 = 48828131 = 11 * 4438921, so 11 is a term.
		

Crossrefs

Cf. A066603.

Cf. Solutions to 5^n == k (mod n): this sequence (k=-6), A015891 (k=-5), A123047 (k=-4), A123052 (k=-3), A123062 (k=-2), A015951 (k=-1), A067946 (k=1), A124246 (k=2), A123061 (k=3), A125949 (k=4), A123091 (k=5), A277350 (k=6).

Programs

PARI

isok(n) = Mod(5, n)^n == -6; \\ Michel Marcus, Oct 10 2016

Formula

A066603(a(n)) = a(n) - 6 for n > 1.

Extensions

a(5)-a(9) from Max Alekseyev, Oct 17 2016