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%I #16 Jun 03 2024 08:52:54
%S 2,3,12,24,119,341,1219,4361,16467,57641,208987,780915,2838550,
%T 10676000,39472122,148231324,559305605,2106222351,7995067942,
%U 30299372141,115430379568,440354051430,1683364991290,6448757014608,24754017328490,95132828618112,366232755206338
%N a(n) is the sum of prime numbers between 2^n+1 and 2^(n+1).
%e From _Gus Wiseman_, Jun 02 2024: (Start)
%e Row-sums of:
%e 2
%e 3
%e 5 7
%e 11 13
%e 17 19 23 29 31
%e 37 41 43 47 53 59 61
%e 67 71 73 79 83 89 97 101 103 107 109 113 127
%e (End)
%t Table[Plus @@
%t Table[Prime[i], {i, PrimePi[2^(n)] + 1, PrimePi[2^(n + 1)]}], {n, 0,
%t 24}]
%Y Cf. A036378 (number of primes summed).
%Y Cf. A293696 (triangle of partial sums).
%Y Minimum is A014210 or A104080, indices A372684.
%Y Maximum is A014234, delta A013603.
%Y Counting all numbers (not just prime) gives A049775.
%Y For squarefree instead of prime numbers we have A373123, length A077643.
%Y For prime indices we have A373124.
%Y Partial sums give A130739(n+1).
%Y Cf. A000040, A001223, A029931, A035100, A046933, A061398, A092131.
%K nonn
%O 0,1
%A _Olivier Gérard_, Oct 15 2017
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