

A172239


Partial sums of primorial primes A018239.


0



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

1,1


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?


LINKS

Table of n, a(n) for n=1..8.


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)).


EXAMPLE

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


CROSSREFS

Cf. A000040, A002110, A018239.
Sequence in context: A062272 A215789 A127137 * A183758 A071787 A291484
Adjacent sequences: A172236 A172237 A172238 * A172240 A172241 A172242


KEYWORD

nonn


AUTHOR

Jonathan Vos Post, Jan 29 2010


STATUS

approved



