A104190 Sums of primes between successive powers of two.

2, 8, 48, 270, 1392, 6862, 32440, 149114, 674344, 3003292, 13234674, 57809228, 250594424, 1079480960, 4624303560, 19720668918, 83744226026, 354354250476, 1494620712320, 6286217598392, 26370903868480, 110375582988186, 461002956906910, 1921809181446898, 7997638730622268

Offset: 0

Author

Roger L. Bagula, Mar 12 2005

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 0..64

Crossrefs

Cf. A033844, A099825.

Programs

Mathematica

a = Table[Sum[Prime[i], {i, 2^n, 2^(n + 1) - 1}], {n, 0, 24}]

Formula

a(n) = Sum_{i=2^n..2^(n+1)-1} prime(i).

a(n) = (A099825(n+1) - A099825(n)) - (A033844(n+1) - A033844(n)). - Amiram Eldar, Jun 04 2025

Extensions

a(20)-a(24) from Amiram Eldar, Jun 04 2025