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Sidetrack: Random Numbers (cont)

Another trivial example:
  • again let c=0
  • try a=12=X0 and m=30
    • that is, Xn+1 = 12·Xn mod 30
    • which generates the sequence: 

    12, 24, 18, 6, 12, 24, 18, 6, 12, 24, 18, 6, 12, 24, 18, 6, 12, 24, 18, 6,
12, 24, 18, 6, 12, 24, 18, 6, 12, 24, 18, 6, ...

  • notice the period length (= 4) … clearly a terrible sequence