A309411 Numbers k such that (44^k + 1)/45 is prime.

7, 41233

Offset

1,1

Comments

Larger terms correspond to probable primes.

Links

Table of n, a(n) for n=1..2.

P. Bourdelais, A Generalized Repunit Conjecture.

OEIS Wiki, Primes of the form (a^n+b^n)/(a+b) and (a^n-b^n)/(a-b).

Mathematica

Do[p=Prime[n]; If[PrimeQ[(44^p + 1)/45], Print[p]], {n, 1, 1000000}]

Prog

(PARI) is(n)=ispseudoprime((44^n+1)/45)

Crossrefs

Sequence in context: A210846 A068251 A033984 * A368065 A348643 A123062

Adjacent sequences: A309408 A309409 A309410 * A309412 A309413 A309414

Keyword

nonn,bref,hard,more

Author

Paul Bourdelais, Jul 29 2019

Extensions

Incorrect term 2 removed by Jianing Song, May 24 2026

Status

approved