A172036 Prime partial sums of safe primes A005385.

5, 23, 509, 2267, 9157, 26437, 44357, 55921, 82301, 184843, 276173, 611069, 732271, 757577, 1006559, 1067611, 1195547, 2132113, 2576683, 3243511, 3302393, 4258091, 5530033, 7326931, 7984121, 10518353, 10748449, 10864151, 11096587, 11937257

Offset: 1

Author

Jonathan Vos Post, Jan 23 2010

Keywords

• easy
• nonn

Comments

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)]?

Examples

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

Crossrefs

Cf. A005384, A005385, A066869.

Formula

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}.}.

Extensions

Corrected and extended by Max Alekseyev, Apr 22 2010