A cut-tail prime is a prime number that keeps giving prime numbers as its last digit is continually removed. For example, 37397 is a cut-tail prime because 37397 and 3739 and 373 and 37 and 3 are all primes. The number of three-digit cut-tail primes is
a) 12
b) 13
c) 14
d) 15
e) 16