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

0,1

Links

Table of n, a(n) for n=0..26.

Example

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)

Mathematica

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

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.

Sequence in context: A320173 A107928 A130337 * A084728 A099429 A049601

Adjacent sequences: A293694 A293695 A293696 * A293698 A293699 A293700

Keyword

nonn

Author

Olivier Gérard, Oct 15 2017

Status

approved