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.
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As long as one of the numbers isn't 2, adding any two prime numbers results in an even number. Why? 1.) Adding any two odd numbers gives an even number, 2.) adding an odd and an even gives an odd, and 3.) all primes are odd, except for 2.
2 + 3 = 5 2 + 5 = 7 2+ 11 = 13 2 + 41 = 43 The numbers only work with 2 because adding odd numbers together equals an even number. 2 is the only even prime number and thus adding any other prime numbers together will not equal a prime.
The first two prime numbers add up to another prime number.
Not quite.When two prime numbers of 3 and higher are added together, the result is always even, because all such prime numbers are odd numbers, and when two odd numbers are added together, the result is always an even number.However 2 is a prime number, and 2 is also an even number. Adding 2 (an even number) to a different prime number (an odd number) will always yield an odd number.Only if you don't include "2".
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