Difference between revisions of "Odd integer"

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The product of any two odd integers is odd, but the sum and difference of any two odd integers are [[even integer | even]].
 
The product of any two odd integers is odd, but the sum and difference of any two odd integers are [[even integer | even]].
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The sum and difference of an [[even integer]] and odd integer are odd. Besides <math>2,</math> all [[prime number | prime numbers]] are odd.
 
The sum and difference of an [[even integer]] and odd integer are odd. Besides <math>2,</math> all [[prime number | prime numbers]] are odd.

Revision as of 17:43, 12 February 2020

An odd integer $n$ is an integer which is not a multiple of $2$ (or equivalently one more than a multiple of $2$). The odd integers are $\ldots, -5, -3, -1, 1, 3, 5, \ldots.$ Every odd integer can be written in the form $2k + 1$ for some unique other integer $k$.

The product of any two odd integers is odd, but the sum and difference of any two odd integers are even.

nbj/

The sum and difference of an even integer and odd integer are odd. Besides $2,$ all prime numbers are odd.


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