301
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Those are the numbers that end with one of the digits 1, 3, 5, 7, 9. You can simply start with 1, and add 2 at a time to get the next odd number.
The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc
26
You cannot. The sum of 5 odd numbers must be odd. 30 is not odd.You cannot. The sum of 5 odd numbers must be odd. 30 is not odd.You cannot. The sum of 5 odd numbers must be odd. 30 is not odd.You cannot. The sum of 5 odd numbers must be odd. 30 is not odd.
37
Both odd and even numbers may have odd numbers as factors.