By that assessment, then neither is MT19973 a "32-bit PRNG", so basing probabilities relating to its use upon 32-bits are wrong also
MT19973 generates 32 bit numbers. It will not generate more than 232 different numbers. It takes 32 bits as a seed. It uses just short of 20k bits to keep state. I don't know what the term "k-bit PRNG" exactly means, which why I tried avoiding that term and keep using seed and state sizes.
There are 232 seeds. Each of them starts a different sequence.
Are you sure about that?

Sure it isn't a single, 4e6001 value non-repeating sequence, and all the seeding does it start you at a different place within it.

Fine, whatever. Doesn't make a iota difference to the argument. But if you want to split hairs, be my guest. So you have 232 different starting points in the sequence.

In reply to Re^11: How likely is rand() to repeat? by JavaFan
in thread How likely is rand() to repeat? by desertrat

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