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If 2731 people are chosen at random, then the probability that at least 17 of them share the same birthday is greater than 50%. By chance, 2731 is a Wagstaff prime, i.e., a prime of the form (2^p + 1)/3. Note that (2^17 + 1)/3 is also a Wagstaff prime.

 

  Submitted: 2000-05-08 21:24:48;   Last Modified: 2008-07-31 18:25:18.



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