There are infinitely many terms between 13 and 251. And between any two of them there infinitely many terms. And between ...
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Each number is four more than the previous number.
One way is to test all the prime numbers equal or less than Sqrt[251]. These are: {2,3,5,7,11,13}. We can eliminate 2, 3, and 5 because the number isn't odd, it's digits don't sum to a multiple of 3, and the last digit isn't a 5 or a 0. For 7, note that 252 = 7*36, so 7 cannot divide 251 because that would imply 7 divides 1. For 11, note that 253 = 11*23, so 11 cannot divide 251 because that would imply 11 divides 2. For 13, note that 13*19 = 247, so 13 cannot divide 251 because that would imply 13 divides 4. Hence, 251 is prime
4 and 13/50 =========
13+47/50
There are an infinite number of numbers between 12 and 13. decimals, fractions and irrational numbers