Comment by fc417fc802

> At a certain point a bias in the prng just has to become significant?

Sure, at a point. I'm not disputing that. I'm asking for a concrete bound. When the state space is >= 2^64 (you're extremely unlikely to inadvertently stumble into a modern PRNG with a seed smaller than that) how large does the sample set need to be and how many experiment replications are required to reach that point?

Essentially what I'm asking is, how many independent sets of N numbers must I draw from a biased deck, where the bias takes the form of a uniformly random subset of the whole, before the bias is detectable to some threshold? I think that when N is "human" sized and the deck is 2^64 or larger that the number of required replications will be unrealistically large.