A262100 Primes p such that 2^p + 29 is also prime.

3, 5, 7, 13, 17, 23, 37, 43, 73, 79, 89, 127, 239, 409, 2543, 10837, 24749, 29879, 181913

Offset: 1

Author

Vincenzo Librandi, Sep 18 2015

Keywords

• nonn
• more

Comments

a(20) > 419637. - Robert Price, Oct 04 2015

Examples

			3 is in sequence because 2^3 + 29 = 37 is prime.
5 is in sequence because 2^5 + 29 = 61 is prime.
		

Crossrefs

Subsequence of primes of A156982.

Cf. similar sequences listed in A262098.

Programs

Magma

[p: p in PrimesUpTo(1000) | IsPrime(2^p+29)];

Mathematica

Select[Prime[Range[1000]], PrimeQ[2^# + 29] &]

PARI

for(n=1, 1e3, if(isprime((2^prime(n))+29), print1(prime(n)", "))) \\ Altug Alkan, Sep 18 2015

Perl

use ntheory ":all"; use Math::GMP ":constant"; forprimes { say if is_prob_prime(2**$+29) } 1e4; # _Dana Jacobsen, Oct 03 2015

Extensions

a(17)-a(18) from Dana Jacobsen, Oct 03 2015

a(19) derived from A156982 by Robert Price, Oct 04 2015