A095378 Integers k for which 1 + A094125(k) = 1 + 3*2^k + 2*3^k is prime.

1, 2, 3, 4, 7, 9, 10, 11, 12, 19, 22, 24, 47, 69, 110, 131, 514, 566, 644, 1340, 1761, 3129, 17188, 48968, 49644, 65183, 67220, 75994, 90746

Offset

1,2

Links

Table of n, a(n) for n=1..29.

Example

4 is a term because 1 + 3*2^4 + 2*3^4 = 1 + 162 + 48 = 211 is prime.

Mathematica

Select[Range[3200], PrimeQ[1 + 3*2^# + 2*3^#] &] (* Amiram Eldar, Aug 18 2024 *)

Prog

(PARI) lista(kmax) = {for(k = 1, kmax, if(isprime(1 + 3*2^k + 2*3^k), print1(k, ", "))); } \\ Amiram Eldar, Aug 18 2024

Crossrefs

Cf. A094125, A095379 (associated primes).

Sequence in context: A086391 A120127 A047548 * A141489 A060253 A066276

Adjacent sequences: A095375 A095376 A095377 * A095379 A095380 A095381

Keyword

nonn,more

Author

Labos Elemer, Jun 07 2004

Extensions

a(23) from Michael S. Branicky, May 07 2024

a(24)-a(27) from Michael S. Branicky, May 31 2024

a(28)-a(29) from Michael S. Branicky, Sep 01 2024

Status

approved