A045584 -id:A045584 - cp's OEIS frontend

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

Max Alekseyev, May 15 2022

nonn

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

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

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,", ")));

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

A354027 Smallest k dividing 3^k + 4^k that have divisor A354026(n).

Original entry on oeis.org

7, 2653, 4941601, 236474833, 20930936750059, 4899815786803, 330219333283, 4455186224209, 9770481627816301, 351829430300299, 26064955344333473991073, 192144131632327, 3006539977771582357, 2059085249993107, 13468375028434716454309, 1753571527639980559, 2338095370082599813

Offset: 1

Max Alekseyev, May 15 2022

nonn

Smallest term of A045584 divisible by prime A354026(n).

Cf. A045584, A354026, A114207, A140258, A171981.

cp's OEIS Frontend

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

Views

Author

Keywords

Comments

Crossrefs

Programs

PARI