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In all cases except when the Prime number 2 is involved.
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Is the sum of a prime number and a composite number always even?
No, the sum of a prime number and a composite number is not always even.
Is it possible to get a even number as the sum ofm three odd prime numbers?
The sum of three odd numbers will be odd, whether they are prime or not. The sum of three prime numbers can be even as long as one of them is 2.
Is the sum of two primes even?
Yes. all prime numbers are odd numbers so the sum of any two will be an even number.
Can 6 prime numbers be added and get a composite number?
Yes.The sum of any six prime numbers, excluding 2, will be even. So the sum will be composite.
Can the sum of two prime numbers be a prime number without the two?
Without using the number two, it is not possible to sum two prime numbers at get a prime number as a result. This is because all prime numbers (except for 2) are odd, and the sum of two odd numbers is always even. The only even prime number is 2. The only way to add two non-zero positive numbers to get 2 is 1+1, and 1 is not a prime number (since it only has one factor).
