A057737 Primes of the form 2^p + 3, where p is prime.

7, 11, 131, 147573952589676412931

Offset: 1

Author

G. L. Honaker, Jr., Oct 29 2000

Keywords

• nonn

Comments

The next term in the sequence is larger than 2^2741+3 > 10^825. - Philip Sung (philip_sung(AT)hotmail.com), Feb 02 2003

The next term in the sequence is larger than 2^100003+3 > 10^30104. - after Ryan Propper, Aug 24 2005

Crossrefs

Cf. A057736.

Programs

Mathematica

Select[Table[2^p+3, {p, Prime[Range[67]]}], PrimeQ] (* Metin Sariyar, Aug 09 2019 *)

PARI

forprime(p=1, , my(x=2^p+3); if(ispseudoprime(x), print1(x, ", "))) \\ Felix Fröhlich, Aug 09 2019

Formula

a(n) = 2^A057736(n) + 3. - Felix Fröhlich, Aug 09 2019