A354026 Primes that divide some k dividing 4^k + 3^k (A045584).

7, 379, 14407, 689431, 4235659, 41647747, 137534083, 239900179, 242121643, 349909477, 1245283747, 1478065891, 1605314383, 2500276549, 2748751303, 5618210347, 7490947129, 11236420693, 11260421089, 16948514941, 29440659361, 74163546829, 75093609319, 82188727303

Offset

1,1

Comments

Prime p > 3 is in this sequence iff all prime factors of the multiplicative order of -3/4 modulo p belong to this sequence.

Links

Table of n, a(n) for n=1..24.

Prog

(PARI) S=[]; forprime(p=5, oo, f=Set(factor(znorder(Mod(-3/4, p)))[, 1]); if(#setintersect(S, f)==#f, S=setunion(S, [p]); print1(p, ", ")));

Crossrefs

Cf. A023394, A045584, A066364, A087807, A129729, A134360, A171980, A354027.

Sequence in context: A250345 A201114 A027510 * A232454 A140638 A367868

Adjacent sequences: A354023 A354024 A354025 * A354027 A354028 A354029

Keyword

nonn

Author

Max Alekseyev, May 15 2022

Extensions

a(18)-a(24) from Jinyuan Wang, Jan 29 2025

Status

approved