This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A172036 #3 Mar 30 2012 18:40:50
%S A172036 5,23,509,2267,9157,26437,44357,55921,82301,184843,276173,611069,
%T A172036 732271,757577,1006559,1067611,1195547,2132113,2576683,3243511,
%U A172036 3302393,4258091,5530033,7326931,7984121,10518353,10748449,10864151,11096587,11937257
%N A172036 Prime partial sums of safe primes A005385.
%C A172036 a(2) = 23 is not only the 3rd partial sum of safe primes, but is itself the 4th safe prime. What are the next safe prime partial sums of safe primes [no more through 66869(41)]?
%F A172036 A000040 INTERSECTION A066869 = A000040 INTERSECTION = SUM[i=1..n]A005385 (i) = {p such that p prime and (p-1)/2 prime and p is an element of SUM[i=1..n]{p prime and (p-1)/2 prime}.}.
%e A172036 a(1) = 5 = A066869(1) is prime. a(2) = 23 = A066869(3) is prime. a(3) = 2267 = A066869(15) is prime.
%Y A172036 Cf. A005384, A005385, A066869.
%K A172036 easy,nonn
%O A172036 1,1
%A A172036 _Jonathan Vos Post_, Jan 23 2010
%E A172036 Corrected and extended by _Max Alekseyev_, Apr 22 2010