Definition:Even Integer/Even-Times Odd
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Definition
Let $n$ be an integer.
Then $n$ is even-times odd if and only if it has $2$ as a divisor and also an odd number.
The first few non-negative even-times odd numbers are:
- $2, 6, 10, 12, 14, 18, \ldots$
Euclid's Definition
In the words of Euclid:
- An even-times odd number is that which is measured by an even number according to an odd number.
(The Elements: Book $\text{VII}$: Definition $9$)