Palindrome primes

Number Theory Level 3

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.


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