A057733 Primes of the form 2^k + 3.

5, 7, 11, 19, 67, 131, 4099, 32771, 65539, 262147, 268435459, 1073741827, 36028797018963971, 147573952589676412931, 19342813113834066795298819, 431359146674410236714672241392314090778194310760649159697657763987459

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..25

Formula

a(n) = 2^A057732(n) + 3. - Elmo R. Oliveira, Nov 08 2023

Maple

for n from 1 to 2000 do `if`(isprime(2^n + 3), 2^n + 3, NULL) od;
# alternative:
select(isprime, [seq(2^n+3, n=1..2000)]); # Robert Israel, Dec 28 2015

Mathematica

Select[Table[2^n + 3, {n, 230}], PrimeQ] (* Jayanta Basu, May 23 2013 *)

Prog

(Magma) [ a: n in [0..250] | IsPrime(a) where a is 2^n+3 ] // Vincenzo Librandi, Aug 07 2010
(PARI) for(n=1, 99, if(ispseudoprime(t=2^n+3), print1(t", "))) \\ Charles R Greathouse IV, Jul 02 2013

Crossrefs

Cf. A000040, A057732.

Sequence in context: A190359 A045441 A128841 * A318078 A174332 A248595

Adjacent sequences: A057730 A057731 A057732 * A057734 A057735 A057736

Keyword

nonn

Author

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

Extensions

More terms from Francois Jooste (pin(AT)myway.com), Mar 17 2003

Status

approved