Search for a number theoretic function related to "prime divisor sums"
Hi all,
does anybody know a number theoretic function similar to the divisor sum, but which only sums up the divisors which are prime?
For me a function would be interesting, which builds the
1. Sum over p/x for all primes p which divide x where p<>x
or
2. Sum over p for all primes p which divide x where p<>x (the same as aove * x)
Of course I could invent this function myself, but I hope that it already exists and maybe there are already some interestings fact known about this function which I could use :o)
I am especially interested in Numbers x which have a Sum (1.) >= 1 in the function mentioned above (or 2. >= x). Does anybody know something about such functions or such numbers?
Thank you in advance
Juergen
Last fiddled with by juergen on 20040704 at 09:35
Reason: adding some more info
