A333269 Positive integers n such that 17^n == 2 (mod n).

1, 3, 5, 3585, 4911, 5709, 1688565, 7361691, 16747709, 3226850283899, 8814126944005, 33226030397603

Offset

1,2

Comments

No other terms below 10^16. Some larger term: 95549099691107109423357503242294996525424418266995858732192019626694044445113. - Max Alekseyev, Jan 09 2025

Links

Table of n, a(n) for n=1..12.

Prog

(PARI) for(k=1, 1e6, if(Mod(17, k)^k==2, print1(k", ")))
(Python)
A333269_list = [n for n in range(1, 10**6) if n == 1 or pow(17, n, n) == 2] # Chai Wah Wu, Mar 14 2020

Crossrefs

Cf. Solutions to b^n == 2 (mod n): A015919 (b=2), A276671 (b=3), A130421 (b=4), A124246 (b=5), A277401 (b=7), A116622 (b=13), this sequence (b=17).

Sequence in context: A090807 A364551 A138154 * A319598 A353135 A126334

Adjacent sequences: A333266 A333267 A333268 * A333270 A333271 A333272

Keyword

nonn,more

Author

Seiichi Manyama, Mar 14 2020

Extensions

a(10)-a(12) from Max Alekseyev, Jan 09 2025

Status

approved