A355964 Primes p such that (p+9)^(p-1) == 1 (mod p^2).

13, 19, 2207, 26041, 332698495781

Offset

1,1

Comments

a(6) > 10^13 if it exists. - Jason Yuen, May 12 2024

Links

Table of n, a(n) for n=1..5.

Prog

(PARI) forprime(p=1, , if(Mod(p+9, p^2)^(p-1)==1, print1(p, ", ")))

Crossrefs

(p+k)^(p-1) == 1 (mod p^2): A355959 (k=2), A355960 (k=5), A355961 (k=6), A355962 (k=7), A355963 (k=8), A355965 (k=10).

Sequence in context: A146047 A343034 A145944 * A330425 A335971 A176150

Adjacent sequences: A355961 A355962 A355963 * A355965 A355966 A355967

Keyword

nonn,hard,more

Author

Felix Fröhlich, Jul 21 2022

Extensions

a(5) from Jason Yuen, May 12 2024

Status

approved