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A354026 Primes that divide some k dividing 4^k + 3^k (A045584). 1
7, 379, 14407, 689431, 4235659, 41647747, 137534083, 239900179, 242121643, 349909477, 1245283747, 1478065891, 1605314383, 2500276549, 2748751303, 5618210347, 7490947129 (list; graph; refs; listen; history; text; internal format)
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..17.

PROG

(PARI) 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. A045584, A023394, A066364, A087807, A129729, A134360, A171980, A354027.

Sequence in context: A250345 A201114 A027510 * A232454 A140638 A299036

Adjacent sequences: A354023 A354024 A354025 * A354027 A354028 A354029

KEYWORD

nonn,more

AUTHOR

Max Alekseyev, May 15 2022

STATUS

approved

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Last modified February 5 08:15 EST 2023. Contains 360082 sequences. (Running on oeis4.)