Ok, so if you seed a 32-bit mersenne twister (aka rand in many languages), how often does the seed itself get produced in the output from the state table (ie. in the first 624 extract() calls)?

A: 641 times.

Are any produced as the first number extracted?

A: No.

Ok, which is closest?

A: seed=4_050_695_801 will produce +/-1 at index 0.

How many are within +/-1, excluding those that are equal?

A: 1243

Results: seed, distance*, index

* 0 means equal, 1 means +/-1

http://ghostbin.site/pdepp

Thanks to #awk for making it easy to recombine output files in different formats - no thanks to Self (bad pun ikr) for changing the format during the run :)