How many positive integers \(n\) less than 10000 satisfy all of the following 3 properties:
A) \(n\) is prime.
B) \(n\) is a palindrome.
C) \(n\) has an even number of digits.
Details and assumptions
A palindrome number is an integer that is the same when its digits are reversed. As an explicit example, \(232\) is a palindrome.