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Kind of. The only Prime number that is even is 2.
They have only one thing in common. By adding 1 to either an even number or an odd number makes them opposite. (even becomes odd and odd becomes even).
No. The property of odd and even is only appropriate for integers.
The sum of two odd numbers never makes an odd number. Only the sum of an odd number and an even number makes an odd number.
The difference of an odd number and an even number is an odd number.