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A300692
Primes that are the sum of all primes up to some power of 2.
0
2, 5, 17, 41, 202288087, 4394533064208947008756469709307
OFFSET
1,1
COMMENTS
Elements in the sequence are certified primes.
The corresponding exponents of 2 are 1, 2, 3, 4, 16 and 54.
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
Sequence in context: A081763 A013918 A007351 * A076076 A136194 A056304
KEYWORD
nonn,more
AUTHOR
Christoph Zurnieden, Apr 03 2018
STATUS
approved