A156974 Primes of the form 2^k + 29.

31, 37, 61, 157, 541, 8221, 32797, 131101, 8388637, 134217757, 8589934621, 137438953501, 8796093022237, 9223372036854775837, 590295810358705651741, 9444732965739290427421, 604462909807314587353117, 618970019642690137449562141, 166153499473114484112975882535043101, 170141183460469231731687303715884105757, 883423532389192164791648750371459257913741948437809479060803100646309917

Offset

1,1

Links

Table of n, a(n) for n=1..21.

Formula

a(n) = 2^A156982(n) + 29. - Elmo R. Oliveira, Nov 08 2023

Maple

a := proc (n) if isprime(2^n+29) = true then 2^n+29 else end if end proc: seq(a(n), n = 1 .. 110); # Emeric Deutsch, Mar 14 2009

Mathematica

Delete[Union[Table[If[PrimeQ[2^n + 29], 2^n + 29, 0], {n, 1, 500}]], 1]

Prog

(Magma) [a: n in [0..300] | IsPrime(a) where a is 2^n+29 ]; // Vincenzo Librandi, Nov 27 2010

Crossrefs

Cf. A000040, A156982.

Cf. A057733 (2^k+3), A123250 (2^k+5), A104066 (2^k+7), A156940 (2^k+11).

Sequence in context: A129998 A180542 A097437 * A215431 A082957 A067826

Adjacent sequences: A156971 A156972 A156973 * A156975 A156976 A156977

Keyword

nonn

Author

Edwin Dyke (ed.dyke(AT)btinternet.com), Feb 19 2009

Extensions

More terms from Emeric Deutsch, Mar 14 2009

More terms from Vincenzo Librandi, Nov 27 2010

Status

approved