# Palindrome primes

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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