

A173053


Numbers n such that 2^(2*n)+2*n+1 is a prime.


2




OFFSET

1,3


COMMENTS

Studying primes of the form 2^(x1)+x for x=2n+1 leads to A061422. The six odd x in A061422 give the known solutions shown here. [R. J. Mathar]
The associated primes are 1+1 = 2, 2^2+3 = 7, 2^6+7 = 71,
2^236+237 = 110427941548649020598956093796432407239217743554726184882600387580788973;
2^1884+1885 = 1382012053...8525348701 (Most inner digits omitted. The number of digits of the prime grows roughly as log_10(4^n) = 0.61*n.)


LINKS



FORMULA



MATHEMATICA

Select[Range[0, 2000], PrimeQ[2^(2 #) + 2 # + 1] &] (* Vincenzo Librandi, Jun 07 2014 *)


CROSSREFS



KEYWORD

nonn,more


AUTHOR



EXTENSIONS

Display of very long primes truncated by R. J. Mathar, Feb 15 2010


STATUS

approved



