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 A293696 Irregular triangle read by rows in which row n lists the partial sums of prime numbers between 2^n+1 and 2^(n+1). 4
 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)
 OFFSET 0,1 LINKS Olivier Gérard, Table of n, a(n) for n = 0..6541 EXAMPLE The triangle begins . 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 MATHEMATICA 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 *) CROSSREFS Cf. A000040, A036378 (length of rows), A293697 (sequence of last item of each row). Sequence in context: A341700 A158936 A271227 * A002139 A140489 A331101 Adjacent sequences: A293693 A293694 A293695 * A293697 A293698 A293699 KEYWORD nonn,tabf AUTHOR Olivier Gérard, Oct 15 2017 STATUS approved

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Last modified December 1 23:44 EST 2022. Contains 358485 sequences. (Running on oeis4.)