The sum of an odd number of odd numbers can't be an even number.
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It is not posible. The sum of five odd numbers must be odd. 30 is not odd.
The sum of 5 odd numbers must be odd and 100 is even. So there cannot be such a set.
Some odd numbers can be written as the sum of prime numbers. 2 + 3 = 5
The first three odd numbers are 1, 3, and 5. Their sum is 1 + 3 + 5 = 9.
No odd number of odd numbers can sum to an even number.