I agree with David. Statistically speaking, there is no such thing as an "ultimate final test" or proof of randomness.
Then too, don't forget John von Neumann's famous injunction, which Donald Knuth quotes at the outset of his great chapter in vol 2 of "The art of computer programming" on random numbers: "Anyone who considers arithmetical methods of producing random digits is, of course in a state of sin."
Then too, don't forget John von Neumann's famous injunction, which Donald Knuth quotes at the outset of his great chapter in vol 2 of "The art of computer programming" on random numbers: "Anyone who considers arithmetical methods of producing random digits is, of course in a state of sin."
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