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”).

A162715
Primes of the form 3^p-2^(p+1), where p is also a prime.
2
11, 179, 1931, 617669101316651, 14130386090585813000157964091, 19088056323407826758511836230558252318494847619
OFFSET
1,1
COMMENTS
The next term has 1117 digits and is not included explicitly for that reason.
FORMULA
a(n) = 3^A162714(n)-2^(1+A162714(n)) .
MATHEMATICA
Select[Table[3^p - 2^(p + 1), {p, Prime[Range[70]]}], PrimeQ] (* Vincenzo Librandi, Sep 11 2013 *)
PROG
(Magma) [a: p in PrimesInInterval(3, 1200) | IsPrime(a) where a is 3^p - 2^(p + 1)]; // Vincenzo Librandi, Sep 11 2013
CROSSREFS
Cf. A162714.
Sequence in context: A101791 A140034 A363024 * A131638 A157382 A174979
KEYWORD
nonn
AUTHOR
Vincenzo Librandi, Jul 11 2009
EXTENSIONS
Clarified status of p in the definition - R. J. Mathar, Oct 16 2009
STATUS
approved