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A293697 a(n) is the sum of prime numbers between 2^n+1 and 2^(n+1). 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..24.

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).

Sequence in context: A302545 A107928 A130337 * A084728 A099429 A049601

Adjacent sequences:  A293694 A293695 A293696 * A293698 A293699 A293700

KEYWORD

nonn

AUTHOR

Olivier Gérard, Oct 15 2017

STATUS

approved

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Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)