# Primey Palindromes

Let $$a$$ be an $$n$$ digit palindrome.
Let $$f(x) =$$ the sum of the digits of $$x$$.
Given that there are 13 values such that $$a$$ is prime and $$a + f(a)$$ is also prime, what is the value of $$n$$?

Example
- $$383$$ is a prime palindrome
- $$f(383) = 3+8+3=14$$
- $$383+f(383)=397$$ which is also prime

I also made a slightly harder version of this problem - Primey Palindromes V2

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