Well, you write the numbers themselves the same way you'd write any other number.
The set of all primes is usually designated P.
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A number as a product of prime numbers would be "x".
Prime factorization of 27 = 3x3x3
You can't write that as the sum of two prime numbers. Note: Goldbach's Conjecture (for expressing numbers as the sum of two prime numbers) applies to EVEN numbers.
2x2x2x3
Since there is an infinite set of prime numbers the answer would be infinity.