An odd number is an integer of the form , and as such it is not divisible by 2. In terms of congruences, , and in its binary representation the least significant bit is 1. With the exception of 2, all prime numbers are odd numbers.
But the multiplication of two odd numbers, or any even amount of odd multiplicands always gives an odd number. For example, .
A negative number raised to the power of an odd number gives a negative number. For example, (compare ).
The sum of the first consecutive positive odd numbers is .
However, note that this series is not absolutely convergent.
|Date of creation||2013-03-22 17:42:30|
|Last modified on||2013-03-22 17:42:30|
|Last modified by||PrimeFan (13766)|