That's an infinite list.
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Composite numbers greater than 20 and less than 30 are 21, 22, 24, 25, 26, 27, 28.
All of them except 31 and 37 which are prime numbers
There are infinitely many prime numbers which are greater than 30.
21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39
23 and 29 are the two prime numbers greater than 20 but less than 30.