little math/programming problems April 2023

[ttw]

The following pRNG may be helpful if sampling the dice throws is a problem. It's a specially constructed linear congruential generator designed for die rolling.

Letting X stand for the internal state, one has

X = X * 93847949523997033 Mod ( 216172782113784439 )

The die roll is X ( Mod 6 ) or X ( Mod 6 ) + 1

The only constraint is that the first X must be non-zero 0 < Xo < 93847949523997033.

If this version has distributional problems, I got millions more available.