A355964 - OEIS

%I #10 May 13 2024 00:06:24

%S 13,19,2207,26041,332698495781

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

%C a(6) > 10^13 if it exists. - _Jason Yuen_, May 12 2024

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

%Y (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).

%K nonn,hard,more

%O 1,1

%A _Felix Fröhlich_, Jul 21 2022

%E a(5) from _Jason Yuen_, May 12 2024