No, it cannot be done. As 23 is odd, two numbers used would have to be one odd and one even. As 2 is the only even Prime number and 21 + 2 equals 23, but 21 is not a prime number, it cannot be done.
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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.
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.
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.
There are not three prime numbers that have the sum of 3. The smallest prime number is 2. If all three prime numbers were 2, the sum would 2 + 2 + 2 = 6, so that is the smallest number that is the sum of three prime numbers.