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

%I #21 Aug 12 2019 02:43:39

%S 7,11,131,147573952589676412931

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

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

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

%F a(n) = 2^A057736(n) + 3. - _Felix Fröhlich_, Aug 09 2019

%t Select[Table[2^p+3, {p, Prime[Range[67]]}], PrimeQ] (* _Metin Sariyar_, Aug 09 2019 *)

%o (PARI) forprime(p=1, , my(x=2^p+3); if(ispseudoprime(x), print1(x, ", "))) \\ _Felix Fröhlich_, Aug 09 2019

%Y Cf. A057736.

%K nonn

%O 1,1

%A _G. L. Honaker, Jr._, Oct 29 2000