653 and 5
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Wrong
The numbers are 328 and 330.
It is impossible for the product of two prime numbers to be prime. It is impossible for the sum of two prime numbers to be prime as long as one of the numbers isn't 2.
If you meant "what two prime numbers have a sum of 36?" the answer is 19 and 17.
Since you need at least two numbers to create a sum, I'm going to say "no."