Yes, but since 2 is the only even Prime number and the sum of two odd numbers is always even, one of the two prime numbers being added will always be a 2. So, for example:
3 + 2 = 5 11 + 2 = 13 71 + 2 = 73
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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.
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 is not always a composite number. The sum of 2 and 11 is 13, and 13 is a prime number, not a composite number.
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The sum of two prime numbers will be composite unless one of the prime numbers is 2.