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A293696
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Irregular triangle read by rows in which row n lists the partial sums of prime numbers between 2^n+1 and 2^(n+1).
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4
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2, 3, 5, 12, 11, 24, 17, 36, 59, 88, 119, 37, 78, 121, 168, 221, 280, 341, 67, 138, 211, 290, 373, 462, 559, 660, 763, 870, 979, 1092, 1219, 131, 268, 407, 556, 707, 864, 1027, 1194, 1367, 1546, 1727, 1918, 2111, 2308, 2507, 2718, 2941, 3168, 3397, 3630, 3869, 4110, 4361
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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EXAMPLE
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The triangle begins
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2
3
5,12
11,24
17,36,59,88,119
37,78,121,168,221,280,341
67,138,211,290,373,462,559,660,763,870,979,1092,1219
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MATHEMATICA
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Flatten@Table[
Rest@FoldList[Plus, 0,
Table[Prime[i], {i, PrimePi[2^(n)] + 1, PrimePi[2^(n + 1)]}]], {n,
0, 8}]
Table[Accumulate[Prime[Range[PrimePi[2^n]+1, PrimePi[2^(n+1)]]]], {n, 0, 10}] // Flatten (* Harvey P. Dale, Dec 26 2020 *)
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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