A130739 Sum of primes < 2^n.
0, 5, 17, 41, 160, 501, 1720, 6081, 22548, 80189, 289176, 1070091, 3908641, 14584641, 54056763, 202288087, 761593692, 2867816043, 10862883985, 41162256126, 156592635694, 596946687124, 2280311678414, 8729068693022
Offset: 1
Keywords
Examples
a(3) is 17 because the sum of primes less than 2^3 is 2+3+5+7=17.
Links
- Kim Walisch, Table of n, a(n) for n = 1..80 (terms n=1..42 from Cino Hilliard)
- Kim Walisch, primesum program.
Programs
-
Mathematica
Table[Sum[Prime[i], {i, PrimePi[2^n-1]}], {n, 1, 10}] -
PARI
a(n) = {s = 0; forprime(p=2, 2^n-1, s +=p); return (s);} \\ Michel Marcus, Jul 17 2013
Formula
a(n) = Sum_{i=2..2^n-1} A061397(i).