# 210

This number is a composite.

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The number of distinct representations of a number n as the
sum of two primes is at most the number of primes in the
interval [n/2, n-2], and 210 is the largest value of n for
which this upper bound is attained. In other words, 210 is
the largest positive integer n that can be written as the
sum of two primes in π(n - 2) - π(n/2 - 1) distinct ways.
Reference: An
upper bound in Goldbach's problem. [Capelle]
Submitted: 2009-10-13 05:45:53; Last Modified: 2009-10-13 05:57:47.

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