A293697 a(n) is the sum of prime numbers between 2^n+1 and 2^(n+1).

2, 3, 12, 24, 119, 341, 1219, 4361, 16467, 57641, 208987, 780915, 2838550, 10676000, 39472122, 148231324, 559305605, 2106222351, 7995067942, 30299372141, 115430379568, 440354051430, 1683364991290, 6448757014608, 24754017328490, 95132828618112, 366232755206338

Offset: 0

Author

Olivier Gérard, Oct 15 2017

Keywords

• nonn

Examples

			From _Gus Wiseman_, Jun 02 2024: (Start)
Row-sums of:
   2
   3
   5   7
  11  13
  17  19  23  29  31
  37  41  43  47  53  59  61
  67  71  73  79  83  89  97 101 103 107 109 113 127
(End)
		

Crossrefs

Cf. A036378 (number of primes summed).

Cf. A293696 (triangle of partial sums).

Minimum is A014210 or A104080, indices A372684.

Maximum is A014234, delta A013603.

Counting all numbers (not just prime) gives A049775.

For squarefree instead of prime numbers we have A373123, length A077643.

For prime indices we have A373124.

Partial sums give A130739(n+1).

Cf. A000040, A001223, A029931, A035100, A046933, A061398, A092131.

Programs

Mathematica

Table[Plus @@
  Table[Prime[i], {i, PrimePi[2^(n)] + 1, PrimePi[2^(n + 1)]}], {n, 0,
   24}]