If by between you mean strictly between (not including 23 or 35), the answer is 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, and 34.
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23, 29 and 31
The primes are 23, 29, and 31.
There are three: 23, 29 and 31
17, 19, 23, 29, 31.
They are: 17 19 23 29 and 31