login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A177030
Numbers k such that 11^k + 3^k - 1 is prime.
1
1, 7, 9, 33, 127, 153, 2327, 3607, 14803, 16431
OFFSET
1,2
COMMENTS
a(9) > 13518. - Daniel Starodubtsev, Apr 06 2020
FORMULA
A177027(n) = 11^a(n)+3^a(n)-1.
EXAMPLE
7 is in the sequence, because 11^7 + 3^7 - 1 = 19489357 is prime.
PROG
(Magma)[n: n in [0..1500]|IsPrime(11^n+3^n-1^n)]
(PARI) is(n)=ispseudoprime(11^n+3^n-1) \\ Charles R Greathouse IV, Jun 13 2017
CROSSREFS
Sequence in context: A272432 A272431 A261961 * A189974 A316184 A359367
KEYWORD
nonn,more
AUTHOR
Vincenzo Librandi, Dec 09 2010
EXTENSIONS
a(7)-a(8) from Daniel Starodubtsev, Apr 06 2020
a(9)-a(10) from Michael S. Branicky, Jul 15 2023
STATUS
approved