All numbers ending with 1, 3, 5, 7, and 9. So: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, and 99.
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101
The sum of 5 odd numbers must be odd and 100 is even. So there cannot be such a set.
They are: 13579111315171921232527293133353739414345474951535557596163656769717375777981838587899193959799.
Look for a table of prime numbers. All the odd numbers that are NOT on this list are composite numbers.
99