It is 17 since 14, 15, and 16 are not prime. It is easy to see right away that 14 is not prime because 2 is the only even prime. Of course, 15 has factors of 3 and 5 so it is not easy. 16 is also even.
17 is prime since its only factors are 1 and itself.
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13
13 is a prime number
83 is the next prime number.
Since 13 is a prime number (i.e., 13 is the only factor of 13), any number that is not a multiple of 13 is relatively prime to it.
the next prime number after 51 is 60 :)