# 2731

This number is a prime.

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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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