The first 30 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, and 113.
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31 and 37 are the only prime numbers between 30 and 40
That's an infinite list.
2,3,5
The prime numbers between 15 and 30 are: 17, 19, 23 and 29
That's an infinite list that includes 30, 42 and 66.