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.
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two prime numbers when added together will equal 63: 2 + 61
No two prime numbers satisfy that request.
2 and 2
127, 3 and 2
2, 3 and 13