5 and 13.
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There's no solution. For two primes to add to an odd number, one of them would have to be two. 63 isn't prime, so there's no solution.
It is not possible in our Universe that two consecutive numbers can total an even number, since any two consecutive numbers must be an odd and an even (or vice versa). There are two consecutive odd numbers which total 132 ie 65 and 67
As a product of its prime factors: 5*13 = 65
9 11 13 15 17
65