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The sum of two prime numbers is 85 85 . What is the product of these two prime numbers?

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Final answer:

The sum of two prime numbers is 85 and their product is 166, with the two prime numbers being 2 and 83.

Step-by-step explanation:

The question asks to find the product of two prime numbers whose sum equals 85. Since 85 is an odd number, and all prime numbers greater than 2 are odd, one of the primes in the pair must be 2 (the only even prime number) to achieve an odd sum. The other prime number would then be 85 minus 2, which is 83, also a prime number. The product of these two prime numbers, 2 and 83, is 166.

User Nathan Voxland
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3 votes
I assume you mean ' 85 ' and not ' 8585 '.

-- 85 is an odd number.

-- If the sum of 2 numbers is odd, then
one of them is odd and the other is even.

-- The only even prime number is 2 .

-- So 85 is the sum of 2 and 83 .

-- Their product is 166 .

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