71

This number is a prime.

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The largest known positive integer n for which the sum of all primes smaller or equal to n divides the sum of all nonprimes smaller or equal to n. It's also the largest known positive integer n for which this sum of primes divides n(n+1)/2. Moreover, it's the only known case where n divides all these numbers. [Capelle]

Submitted: 2009-08-14 01:28:24;   Last Modified: 2009-08-15 00:00:43.
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