1. The problem is to understand what an odd number is and to provide examples of odd numbers up to one hundred million. 2. An odd number is an integer which is not divisible by 2. In other words, when divided by 2, it leaves a remainder of 1. 3. The general formula for an odd number is: $$n = 2k + 1$$ where $k$ is any integer (positive, negative, or zero). 4. To check if a number is odd, divide it by 2 and see if the remainder is 1. 5. Examples of odd numbers up to one hundred million include: - 1 - 3 - 5 - 99999999 6. Note that 100000000 is even because it is divisible by 2. 7. Therefore, any number fitting the formula $2k + 1$ and less than or equal to 100000000 is an odd number. Final answer: Odd numbers are integers of the form $2k + 1$ where $k$ is an integer, examples up to 100000000 include 1, 3, 5, ..., 99999999.