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There is no solution. For two numbers to add to an odd total, one of them must be even. If that number is also a prime it must be 2.

But if one of the numbers is 2 and the two sum to 289, the other must be 287. But 287 is not a prime and the question required two primes to be added.

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15y ago

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Q: What two prime numbers add together to give the answer 289?
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