A300692 Primes that are the sum of all primes up to some power of 2.
2, 5, 17, 41, 202288087, 4394533064208947008756469709307
Offset: 1
Examples
17 is a term because the sum of all primes below 2^3 is 2+3+5+7 = 17 which is prime.
Links
- Kim Walisch, List of sums of primes up to 2^n with n<=80 (at the end).
Programs
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Mathematica
Select[Array[Total@ Prime@ Range@ PrimePi[2^#] &, 27, 0], PrimeQ] (* Michael De Vlieger, Apr 10 2018 *)
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PARI
lista(nn) = {for (n=0, nn, s = 0; forprime(k=0, 2^n, s+=k); if (isprime(s), print1(s, ", ")));}
Formula
Numbers of the form Sum_{i=2..2^n-1} A061397(i) that are prime.
Comments