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The sum of three primes is 80. What is the maximum product of the three primes?
Except 2. All other primes are odd. If all three primes are odd, the sum of them is odd. Since the sum is even, one of the three primes must have 2. So let one be x, the other 78-x, and y be the product of two other unknown primes. Then y = x * (78-x) = 78x-x * x = - (x * x-78x) = - (x-39) + 39
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