413

This number is a composite.

Although 413 is a semiprime, (413 - 4)^4 + (413 - 1)^1 + (413 - 3)^3 is prime with prime length and a perfect number of prime digits. [Patterson]

At 413, the number of composite numbers ending with a 3 finally catches up to the number of primes ending with a 3 at 21 each after falling behind by as much as 9 to 3 at n = 113. [Gaydos]