A155851 n is prime and is the sum of the first k primes for some k, start from 5.

5, 23, 53, 233, 563, 1259, 2579, 2909, 12713, 22543, 28099, 31729, 39607, 41017, 42463, 87511, 110359, 115279, 117787, 138863, 141671, 213533, 242243, 257353, 265117, 269069, 289171, 310019, 318557, 327193, 331603, 354097, 372607, 441101

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jan 28 2009

Keywords

• nonn

Comments

Analogous to A013918, A071151. Number '5' is first prime number after first composite number '4'.

Crossrefs

Cf. A013918, A071151

Programs

Mathematica

s=0;lst={};Do[p=Prime[n];s+=p;If[PrimeQ[s],AppendTo[lst,s]],{n,3,7!}];lst
Select[Accumulate[Prime[Range[3,500]]],PrimeQ] (* Harvey P. Dale, Jun 22 2015 *)