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

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..9.

Formula

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

Example

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

Prog

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

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).

Sequence in context: A092609 A091537 A327943 * A033517 A279238 A192841

Adjacent sequences: A277345 A277346 A277347 * A277349 A277350 A277351

Keyword

nonn,more

Author

Seiichi Manyama, Oct 10 2016

Extensions

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

Status

approved