A262098 Primes p such that 2^p + 9 is also prime.

2, 3, 5, 7, 23, 37, 47, 263, 317, 3229, 3253

Offset

1,1

Comments

a(12) > 100000. - Dana Jacobsen, Oct 03 2015

Links

Table of n, a(n) for n=1..11.

Example

5 is in sequence because 2^5 + 9 = 41 is prime.

Mathematica

Select[Prime[Range[1000]], PrimeQ[2^# + 9] &]

Prog

(Magma) [p: p in PrimesUpTo(1000) | IsPrime(2^p+9)];
(PARI) for(n=1, 1e3, if(isprime((2^prime(n))+9), print1(prime(n)", "))) \\ Altug Alkan, Sep 18 2015
(Perl) use ntheory ":all"; use Math::GMP qw/:constant/; forprimes { say if is_prime(2**$_+9) } 10000; # Dana Jacobsen, Oct 03 2015

Crossrefs

Subsequence of primes of A057196.

Cf. primes p such that 2^p+k is a prime: A057736 (k=3), A175173 (k=5), this sequence (k=9), A155780 (k=11), A175234 (k=15), A262099 (k=17), A175235 (k=21), A175236 (k=23), A262934 (k=27), A262100 (k=29), A262201 (k=33), A262962 (k=35).

Sequence in context: A113611 A038925 A154761 * A074491 A154385 A125525

Adjacent sequences: A262095 A262096 A262097 * A262099 A262100 A262101

Keyword

nonn,more

Author

Vincenzo Librandi, Sep 18 2015

Status

approved