We are given three integers $a, b$, and $c$ such that $a, b, c, a+b−c, a+c−b,
b + c − a$, and $a + b + c$ are seven distinct primes. Let $d$ be the difference
between the largest and smallest of these seven primes. Suppose that $800$ is
an element in the set {$a+b, b+c, c+a$}. Determine the maximum possible
value of $d$.
Advance P-8 (BOMC-2)
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You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )