Do stateless random number generators exist?

Question

Is there a difference between generating multiple numbers using a single random number generator (RNG) versus generating one number per generator and discarding it? Do both

Answer 1

Well, as long as they are seeded differently each time they're created, then no, I don't think there'd be any difference; however, if it depended on something like the time, then they'd probably be non-uniform, due to the biased seed.