Odd integer

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An odd integer $n$ is an integer which is not a multiple of 2. Every odd integer can be written in the form $2k + 1$ for some unique other integer $k$. The odd integers with smallest absolute value are $1, -1, 3, -3, 5, -5, \ldots$. The product of any two odd integers is odd, but the sum and difference of any two odd integers are even.

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