p + primorial/p is prime

[Leroy Quet]

Could someone please calculate some terms of this
sequence?
I wonder if it is already in the EIS.

a(n) = the number of primes p, p <= the nth
prime, where
p + (1/p)product{k=1 to n} p(k)
is prime, where p(k) is the kth prime.

The sequence begins (unless I errrd...):

1,2,3,4,3,...


For example,

For n = 5:
2 + 3*5*7*11 = 13*89;
3 + 2*5*7*11 = 773 = prime;
5 + 2*3*7*11 = 467 = prime;
7 + 2*3*5*11 = 337 = prime;
11 + 2*3*5*7 = 221 = 13*17.

So, a(5) = 3.

Maybe the sequence is already in the EIS which
counts the number of such sums that are
COMPOSITE.

Thanks,
Leroy Quet