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 A344718 Divide the positive integers into subsets of lengths given by successive primes. a(n) is the sum of primes contained in the n-th subset. 2
 2, 8, 7, 41, 42, 138, 143, 331, 348, 660, 864, 1444, 1322, 2349, 1824, 3195, 4122, 4696, 4264, 7184, 8038, 8259, 9988, 10972, 15151, 15446, 16954, 18322, 19994, 26001, 27985, 28426, 32541, 38963, 41797, 51790, 40074, 64140, 59403, 60066, 63732, 66980, 99172, 82152 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Paolo Xausa, Table of n, a(n) for n = 1..1000 EXAMPLE a(1) = 2 because the first subset is [1,2] (length = 2) and the sum of primes contained in it is 2. a(2) = 8 because the second subset is [3,4,5] (length = 3) and the sum of primes contained in it is 3 + 5 = 8. a(3) = 7 because the third subset is [6,7,8,9,10] (length = 5) and the sum of primes contained in it is 7. a(4) = 41 because the fourth subset is [11,12,13,14,15,16,17] (length = 7) and the sum of primes contained in it is 11 + 13 + 17 = 41. MATHEMATICA nterms=50; list = TakeList[Range[Sum[Prime[i], {i, nterms}]], Prime[Range[nterms]]]; Map[Total[Select[#, PrimeQ]]&, list] CROSSREFS Cf. A000027, A000040, A007504, A034956, A344889. Sequence in context: A203145 A303498 A166539 * A075429 A344692 A256166 Adjacent sequences: A344715 A344716 A344717 * A344719 A344720 A344721 KEYWORD nonn AUTHOR Paolo Xausa, May 27 2021 STATUS approved

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Last modified June 18 11:09 EDT 2024. Contains 373481 sequences. (Running on oeis4.)