In how many ways can 47 be written as the sum of two prime numbers
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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.