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A051935 a(n) = smallest number > a(n-1) such that a(1) + a(2) + ... + a(n) is a prime. 5
2, 3, 6, 8, 10, 12, 18, 20, 22, 26, 30, 34, 36, 42, 44, 46, 50, 52, 60, 66, 72, 74, 76, 78, 80, 82, 102, 108, 114, 116, 118, 126, 128, 132, 136, 138, 144, 146, 150, 154, 158, 162, 166, 170, 174, 186, 196, 198, 210, 222, 228, 236, 240, 244, 246, 254, 270, 280, 282 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n=1..2000

EXAMPLE

The third term is 6 because 2 + 3 + 6 = 11 is a prime.

MATHEMATICA

p=2; lst={p}; Do[If[PrimeQ[p+n], AppendTo[lst, n]; p=p+n], {n, 3, 10^3}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 14 2008 *)

nxt[{t_, a_}]:=Module[{k=a+1}, While[!PrimeQ[t+k], k++]; {t+k, k}]; Transpose[ NestList[ nxt, {2, 2}, 60]][[2]] (* Harvey P. Dale, Apr 10 2016 *)

PROG

(Perl) use ntheory ":all"; my($s, @L)=(2, 2); for (1..99) { push @L, next_prime($s+$L[-1])-$s; $s+=$L[-1]; } print "[@L]\n"; # Dana Jacobsen, Sep 25 2018

CROSSREFS

Cf. A051934.

Sequence in context: A089422 A316571 A165780 * A324690 A181486 A179785

Adjacent sequences:  A051932 A051933 A051934 * A051936 A051937 A051938

KEYWORD

easy,nice,nonn

AUTHOR

Felice Russo, Dec 21 1999

STATUS

approved

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Last modified May 24 06:53 EDT 2019. Contains 323529 sequences. (Running on oeis4.)