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Prime partial sums of safe primes A005385.
1

%I #3 Mar 30 2012 18:40:50

%S 5,23,509,2267,9157,26437,44357,55921,82301,184843,276173,611069,

%T 732271,757577,1006559,1067611,1195547,2132113,2576683,3243511,

%U 3302393,4258091,5530033,7326931,7984121,10518353,10748449,10864151,11096587,11937257

%N Prime partial sums of safe primes A005385.

%C 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 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 a(1) = 5 = A066869(1) is prime. a(2) = 23 = A066869(3) is prime. a(3) = 2267 = A066869(15) is prime.

%Y Cf. A005384, A005385, A066869.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Jan 23 2010

%E Corrected and extended by _Max Alekseyev_, Apr 22 2010