Quote Originally Posted by JaWiB
I don't think this is even possible. If you add an odd number of odd numbers, isn't the result always an odd number? (eg, 1+1+1=3, 3+5+1 = 9, 3+7+9+1+1=21)

There's probably a way to prove it, but I've never been one for proofs...
Yes, you are correct. If you add an even number of odd numbers together, you always get an even number. Adding an odd number to that (or any other) even number yields an odd number.