Pastime Game

Alberico Lepore · 2019-03-30, 15:20

Hello group
I had thought since I have two hours available why not play with other people?
The game consists of creating with the contribution of the various participants a pseudo-random number generator in a certain range 0-r.

We can start for example from here:
Given a pair of fairly large numbers (N, n) where N is odd and is such that N = p ^ 2 + n * p where p is a factor of N
Given a number A, such that (x + n * A) * (x + n * (A + 1)) = N with negative x
Take x as an absolute value and make x mod r = K
K is our pseudo-random number

The heart of the game is to find a way to vary A such that the pseudo-random numbers K are uniformly (obviously almost uniform) in 0-r

2019-03-30, 15:20	#1
Alberico Lepore May 2017 ITALY 5²×19 Posts	Pastime Game Hello group I had thought since I have two hours available why not play with other people? The game consists of creating with the contribution of the various participants a pseudo-random number generator in a certain range 0-r. We can start for example from here: Given a pair of fairly large numbers (N, n) where N is odd and is such that N = p ^ 2 + n * p where p is a factor of N Given a number A, such that (x + n * A) * (x + n * (A + 1)) = N with negative x Take x as an absolute value and make x mod r = K K is our pseudo-random number The heart of the game is to find a way to vary A such that the pseudo-random numbers K are uniformly (obviously almost uniform) in 0-r

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