%I #2 Mar 31 2012 12:38:20

%S 3,509,146749,26444543,187206119,735187721,1662266153,2146936021,

%T 2844048943,4335869143,5539721989,5990371801,6145377247,6788645863,

%U 10092092897,19122368737,20186509381,25745240897,32732349829

%N n is prime and is the sum of the first k primes for some k in A071151.

%C 3+127+379=509 (prime), ...

%t s1=s2=0;lst={};Do[p=Prime[n];s1+=p;If[PrimeQ[s1],s2+=s1;If[PrimeQ[s2],AppendTo[lst,s2]]],{n,2,8!}];lst

%Y Cf. A013918, A071151, A155851

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jan 29 2009