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Re: New Prime Found

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  • jbrennen
    ... Well put, Phil. ;^) Another interesting (and nonintuitive) fact about Poisson distributions... Consider that bus stop which receives an average of one
    Message 1 of 9 , May 24, 2006
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      --- Phil Carmody wrote:
      > A great starter is to queue for a ride on the paradoxical Poisson
      > bus:
      >
      > http://groups.yahoo.com/group/primenumbers/message/10356

      Well put, Phil. ;^)

      Another interesting (and nonintuitive) fact about Poisson
      distributions... Consider that bus stop which receives
      an average of one bus per hour with Poisson distribution.
      If you sample the gaps between buses over an extended period,
      and round the result off to the nearest minute, what will be
      the most-often-seen gap? Answer below...












































      The most often seen gap (when samples are rounded to the nearest
      minute): 1 minute. Nowhere near the "intuitive" answer of
      60 minutes.

      That's a powerful argument for the existence of "prime islands"
      and also a powerful argument against being able to predict them
      (since they occur naturally as the result of a totally random
      process).
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