9349

This number is a prime.

The largest four-digit emirp such that prime(9349) + π(9349) is an emirp. [Bajpai]

The first disparity of 3 occurs at the 1158th term of the "Hamlet Sequence." That is to say, at 9349. [Gaydos]

The largest 4-digit Lucas emirp. [Loungrides]

The number of cycles on a 4-by-4 grid. [Gudipati]