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Example of Odd Numbers

Odd numbers are those indivisible by two. An alternative expression is n = 2k + 1, where k is an integer, used to extrapolate the odd number with k as the defining numerical value. Many odd numbers are also perfect numbers, divisible only by themselves and 1. Another arithmetical option is to define an odd number where division results in a remainder of 1.

Examples of Odd Numbers:

Odd numbers: 1,3,5,7,9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, etc.
Odd perfect numbers: 1,3,5,7,9, 11, 13, 17, 19, 23, 29, 31, 37, 41, etc.
http://www.math.hmc.edu/funfacts/ffiles/30001.4-5.shtml
http://simple.wikipedia.org/wiki/Odd_number