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 A075574 a(1) = 1, then the smallest number (obviously even) greater than the previous term such that every partial sum is prime. 1
 1, 2, 4, 6, 10, 14, 16, 18, 26, 30, 36, 48, 52, 54, 56, 58, 60, 66, 74, 78, 88, 90, 96, 104, 106, 108, 122, 126, 144, 154, 156, 158, 172, 188, 190, 192, 206, 210, 214, 228, 240, 242, 250, 258, 260, 262, 284, 286, 288, 290, 298, 300, 302, 318, 324, 328, 332, 340 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 MAPLE A075574:=proc(n) local i, j, k, t, s; j:=1; s:=1; t:=1; for i to n do k:=s; s:=nextprime(s+j); j:=s-k; t:=t, j; od; t; end; # Floor van Lamoen, Oct 21 2005 MATHEMATICA nxt[{ps_, a_}]:=Module[{c=a+2}, While[!PrimeQ[ps+c], c+=2]; {ps+c, c}]; Join[ {1}, NestList[nxt, {3, 2}, 60][[All, 2]]] (* Harvey P. Dale, Sep 19 2021 *) CROSSREFS Cf. A073659, A073660. Sequence in context: A370654 A213475 A325418 * A104692 A066755 A089238 Adjacent sequences: A075571 A075572 A075573 * A075575 A075576 A075577 KEYWORD nonn AUTHOR Amarnath Murthy, Sep 25 2002 EXTENSIONS More terms from David Wasserman, Jan 20 2005 STATUS approved

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Last modified April 23 19:56 EDT 2024. Contains 371916 sequences. (Running on oeis4.)