A172239 Partial sums of primorial primes A018239.

2, 5, 12, 43, 254, 2565, 200560492696, 1719620105458406433483340568317543019584575635895742560438771105058321655238562613083979651479555788009994557822024565226932906295208262756822476224186807

Offset: 1

Author

Jonathan Vos Post, Jan 29 2010

Keywords

• nonn

Comments

The subsequence of primes in this sequence begin: a(1) = 2, a(2) = 5, a(4) = 43. The subsubsequence of primorial prime partial sums of primorial primes begins 2, 5. Will someone extend these subsequences?

Examples

			a(4) = 2 + 3 + 7 + 31 = 43, which is prime, but not primorial prime.
		

Crossrefs

Cf. A000040, A002110, A018239.

Formula

a(n) = SUM[i=1..n] A018239(i) = SUM[i=1..n] {p in A006862 and p prime} = SUM[i=1..n] (1 + Product[j=1..i] A000040(i)).