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

The use of a secure PRNG depends on your application. What are the random numbers used for? If they're something of real value (e.g. anything cryptographically related), you wouldn't want to use anything less.

Secure PRNGs are much slower, and may require libraries to do operation of arbitrary precision, and primality testing, etc etc...