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Pandigital Prime

 Published on Friday, 11th April 2003, 06:00 pm; Solved by 72421;
Difficulty rating: 5%

Problem 41

We shall say that an $n$-digit number is pandigital if it makes use of all the digits $1$ to $n$ exactly once. For example, $2143$ is a $4$-digit pandigital and is also prime.

What is the largest $n$-digit pandigital prime that exists?