# 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 06:28:24; Last Modified: 2009-08-15 05:00:43.

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