Goldbach’s conjecture states that every even integer greater than 2 can be written as the sum of two prime numbers (for example, 2016=13+2003 ). So far, no one has been able to prove that the conjecture is true, and no one has found a counterexample to show that the conjecture is false. What would a counterexample consist of?
Answer Choices
A. an odd integer greater than 2 that can be written as the sum of two prime numbers
B. an odd integer greater than 2 that cannot be written as the sum of two prime numbers
C. an even integer greater than 2 that can be written as the sum of two numbers that are not prime
D. an even integer greater than 2 that can be written as the sum of two prime numbers
E. an even integer greater than 2 that cannot be written as the sum of two prime numbers