Originally Posted by

**Guitarist**
No. It is quite true that this thread is so old I have forgotten exactly where I was going with my post, but I stand by it.

The single sum of any pair of odd integers is even, the triple sum of any 4 odd integers is even and so on.

It seems you misunderstood slightly - we are supposed to be counting the number of *operations*, that is, the number of "+" signs, not the number of integers entering into the operation.

So that: 3 + 5 = 8 (even). 3 + 5 + 7 + 9= 24 (even) and so on for any odd integer.