Highlander Primes

Number Theory Level pending

A h i g h l a n d e r highlander prime is a prime number of length n n such that, if you remove its last k k digits ( k < n ) (k<n) , you will still end up with a prime number but if you remove its first digit, you will end up with a composite number (e.g. 239 is a highlander prime because it is prime as well as 2 and 23 but 39 is composite.)

What is the biggest 4-digits highlander prime ?


The answer is 7393.

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