2701

This number is a composite.

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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 09:49:11; Last Modified: 2009-05-13 00:11:53.