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The product of emirps 2701 = 37 * 73 is the smallest number n which divides the average of the nth prime (24317), its predecessor prime, and its successor prime. (24281 + 24317 + 24329)/3 = 24309 = 3^2 * 37 * 73. Alternate wording: 2701 is the smallest number n which divides the average of the nth prime and the two primes surrounding it. [Post]

 

  Submitted: 2009-05-12 04:49:11;   Last Modified: 2009-05-12 19:11:53.



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