If so, $2$ must be one of the prime numbers, and the other must be $2003-2=2001$, which is not prime. Thus, such a representation is impossible. 
In how many ways can we represent the number $$2003$$ as a sum of two prime numbers? ($$2003$$ Math Kangaroo Problems, Level $$7-8$$, Question \#$$15$$) 

[A] $$1$$ 
[B] $$2$$ 
[C] $$3$$ 
[D] $$4$$ 
[E] Such a representation is impossible. 