An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
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It CAN'T be even, since the number 2 is not a factor of the odd number. "Even" means that a number is a multiple of 2.
The parity rules are: Odd + Odd = Even Even + Even = Even Odd + Even = Odd Even + Odd = Odd So the parity where one number is even is that of the other number. This means that you can go through a list of numbers and ignore all the even numbers. Every PAIR of odd numbers has even parity and by the previous paragraph, even parity can be ignored. So you can pair off odd numbers and ignore them.
You're not even going to believe that it is odd.
The first number is odd, the second is odd. Odd + Odd = Even ie the sum is even. Either number is greater than 2 so their sum is greater than 2. All even numbers greater than 2 are composite.
The best way I can explain this is the way my kindergardenn teacher taught me. In even numbers, all the numbers will have a partner. With 2 each little person/number will have a partner. Now with an odd number, (such as three) there will be a person/number alone. so if you add an even and an odd there will be on little person without a partner, causing it to be an odd.