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|The Seven Primes (Posted on 2013-04-26)
Let a, b, c be positive integers such that
a, b, c, a+b-c, a+c-b, b+c-a, a+b+c are 7 distinct primes.
The sum of two of a, b, c is 800.
If d be the difference of the largest prime and the least prime among those 7 primes, find the maximum value of d.
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