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A165549 a(1) = 7; for n > 1, a(n) = smallest prime strictly greater than sum of previous terms. +0
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; listen)
OFFSET

1,1

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

PROGRAM

(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} [From Klaus Brockhaus, Sep 25 2009]

CROSSREFS

Cf. A064934, A070218.

Sequence in context: A032672 A133425 A038984 this_sequence A055939 A154555 A162857

Adjacent sequences: A165546 A165547 A165548 this_sequence A165550 A165551 A165552

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 21 2009

EXTENSIONS

Edited by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 25 2009

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Last modified December 16 13:01 EST 2009. Contains 170825 sequences.


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