The sum of all the odd numbers from 1 through 100 is 10,000
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The sum of the first 100 odd numbers (1 through 199) is 10000 (ten thou)
No 5 odd numbers add up to 100. The sum of any two odd numbers is even. The sum of any two even numbers is even. So the sum of any 4 odd numbers must be even. Take that and add an odd number and the sum must be odd. Therefore, the sum of any 5 odd numbers must be odd. 100 is even. In conclusion: The sum of any odd number of odd numbers is odd.
100
100
The sum of all the odd numbers between 1 and 12000 is 36000000.