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what 2 prime numbers add up to 289

 May 6, 2015

Best Answer 

 #1
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As all prime numbers except the number 2 are odd, any two (excluding the number 2) must sum to an even number.  Therefore to have two prime numbers sum to an odd number, one of them must be 2.  This would mean that the other number would be 287.  However, 287 is not a prime number, so no two prime numbers add up to 289.

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 May 6, 2015
 #1
avatar+33661 
+5
Best Answer

As all prime numbers except the number 2 are odd, any two (excluding the number 2) must sum to an even number.  Therefore to have two prime numbers sum to an odd number, one of them must be 2.  This would mean that the other number would be 287.  However, 287 is not a prime number, so no two prime numbers add up to 289.

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Alan May 6, 2015

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