Odd number

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An odd number is an integer which is not a multiple of two; A number that when divided by two, leaves a remainder (of 1). If it is divided by two the result is a fraction. One is the first odd positive number. The next four bigger odd numbers are three, five, seven, and nine. Some sequential odd numbers are: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35}, and so on.

An integer that is not an odd number is an even number. Some sequential even numbers are: {2, 4, 6, 8, 10, 12, 14, 16...} If an even number is divided by two, the result is another integer. On the other hand, an odd number, when divided by two, will result in a fraction.

Since odd and even numbers are defined only in reference to the set of integers (..., −3, −2, −1, 0, 1, 2, 3, ...), all negative numbers are also either odd or even.

To find the set of odd integer numbers, we use 2N+1 where N is any integer.

The below are odd numbers up to 100. Given for reference purposes.

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99. Odd numbers are those that are not divisible by two. So negative numbers that are below 0 are -1,-3,-5,-7, etc.