They are. Neither can be divided by any number but themselves and 1.
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The two prime numbers immediately following 17 are 19 and 23.
The prime numbers between 17 and 30 inclusive are: 17 19 23 29
3, 13, 17, 23 are prime numbers. The others are not.
They are: 17, 19 and 23
Some pairs of prime numbers are: 3, 5 11, 17 7, 23