OFFSET
1,1
COMMENTS
Elements in the sequence are certified primes.
The corresponding exponents of 2 are 1, 2, 3, 4, 16 and 54.
LINKS
Kim Walisch, List of sums of primes up to 2^n with n<=80 (at the end).
FORMULA
Numbers of the form Sum_{i=2..2^n-1} A061397(i) that are prime.
EXAMPLE
17 is a term because the sum of all primes below 2^3 is 2+3+5+7 = 17 which is prime.
MATHEMATICA
Select[Array[Total@ Prime@ Range@ PrimePi[2^#] &, 27, 0], PrimeQ] (* Michael De Vlieger, Apr 10 2018 *)
PROG
(PARI) lista(nn) = {for (n=0, nn, s = 0; forprime(k=0, 2^n, s+=k); if (isprime(s), print1(s, ", "))); }
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Christoph Zurnieden, Apr 03 2018
STATUS
approved