The sum of any pair of prime numbers greater than 2 is an even number.
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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.
The sum of two prime numbers greater than 2 is an even number. The sum of 2 and any other prime number is an odd number.
No. The sum of two odd numbers is always even, and no prime is even (apart from 2, but it is the lowest prime, so no primes can be added to form it).
It cannot be. If 47 is the sum of two prime numbers, one must be an even number and one must be an odd number, because that is the only way to have a sum that is an odd number, such as 47. The only even prime number is 2. The number that with 2 will have a sum of 47 is 45. However, 45 is not a prime number. Therefore, there are not two prime numbers that have a sum of 47.
The sum of any two prime numbers may or may not be prime. The sum of the two prime numbers 2 and 3 is the prime number 5, and the sum of the two prime numbers 5 and 7 is the composite number 12.