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 A165549 a(1) = 7; for n > 1, a(n) = smallest prime strictly greater than sum of previous terms. 1
 7, 11, 19, 41, 79, 163, 331, 653, 1307, 2617, 5231, 10463, 20929, 41863, 83717, 167437, 334877, 669763, 1339523, 2679037, 5358083, 10716163, 21432317, 42864671, 85729367, 171458671, 342917357, 685834729, 1371669443, 2743338881 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 MATHEMATICA a=7; b=11; s=a+b; lst={a, b}; Do[i=1; While[ !PrimeQ[s+i], i++ ]; c=s+i; AppendTo[lst, c]; a=b; b=c; s+=c, {n, 2*4!}]; lst nxt[{t_, a_}]:=Module[{c=NextPrime[t]}, {t+c, c}]; NestList[nxt, {7, 7}, 30][[All, 2]] (* Harvey P. Dale, Aug 03 2017 *) PROG (PARI) {m=30; s=0; v=vector(m); v[1]=7; for(n=2, m, s+=v[n-1]; v[n]=nextprime(s+1)); v} \\ Klaus Brockhaus, Sep 25 2009 CROSSREFS Cf. A064934, A070218. Sequence in context: A133425 A103802 A038984 * A055939 A154555 A285016 Adjacent sequences:  A165546 A165547 A165548 * A165550 A165551 A165552 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Sep 21 2009 EXTENSIONS Edited by Klaus Brockhaus, Sep 25 2009 STATUS approved

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Last modified February 24 01:16 EST 2020. Contains 332195 sequences. (Running on oeis4.)