OFFSET
1,1
EXAMPLE
5 = 2 + 3.
23 = 5 + 7 + 11.
31 = 7 + 11 + 13.
41 = 11 + 13 + 17.
53 = 5 + 7 + 11 + 13 + 17.
MATHEMATICA
lst={}; Do[s=Prime[m]; k=1; Do[p=Prime[n]; s+=p; k++; If[PrimeQ[s]&&PrimeQ[k], If[s<=10837, AppendTo[lst, s]]], {n, m+1, 5*5!}], {m, 5*5!}]; lst=Take[Union@lst, 500] (* Vladimir Joseph Stephan Orlovsky, Sep 13 2009 *)
Module[{nn=60, prs}, prs=Prime[Range[nn]]; Take[Select[Union[ Flatten[ Table[ Total/@ Partition[prs, n, 1], {n, prs}]]], PrimeQ], nn]] (* Harvey P. Dale, Aug 12 2016 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Henry Bottomley, Dec 07 2001
STATUS
approved