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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 pi(n - 2) - pi(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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