The Prime number (factor) of 289 is: 17
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289 = 17 x 17
289 does.
289 is an odd number so it must be the sum of an odd and an even number. The only even prime number is 2 so the other number must be 287, which is not prime as it is divisible by 7, so your question has no answer in this universe.
How can 2 prime numbers ever be equal They cant be Equal.
121, 169, 289