And it might not even take 2^30 unique Randoms, we don't know.
The problem I want the solution for is the data base creation , hunting p135 is not practical for me I might try for 1 night after making the data base see if I get lucky.
I guess you really, really, really want that 1 billion points database. Fine, I'll do it a bit later today. But don't get your hopes up that such a DB increases your luck somehow.
No harm in hoping.