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 18:43, 12 February 2020
An odd integer 
is an integer which is not a multiple of 
(or equivalently one more than a multiple of ). The odd integers are 
Every odd integer can be written in the form 
for some unique other integer 
.
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 
all prime numbers are odd.
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