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]
(There is one curio for this number that has not yet been approved by an editor.)
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