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I would like to use Blum Blum Shub, or Blum Micali methods as random number generators only. I am not interested in their encryption capabilities. I was wondering, if I replaced the prime numbers with other random numbers that are not prime, how much will this affect:

  1. the security of RNG
  2. the randomness of the numbers generated.
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  • $\begingroup$ "I would like to use Blum Blum Shub, or Blum Micali methods as random number generators only" - why? There are much better ones known... $\endgroup$
    – poncho
    Dec 12, 2019 at 20:57
  • $\begingroup$ Also, as long as the prime factors of the numbers are distinct and they are congruent to mod 4, you can consider it is just extension... $\endgroup$
    – kelalaka
    Dec 12, 2019 at 21:02
  • $\begingroup$ which ones are known better than Blum Blum Shub and Blum Micali? i want CSPRNG ones for cryptographical reasons. $\endgroup$
    – Tararu
    Dec 12, 2019 at 22:35

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