2221

This number is a prime.

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The smallest Honaker prime with sum of digits equal to 7. Are there any more? [Gaydos]

The smallest Honaker prime with no digits greater than 2. The next one is 22221211. [Gaydos]

2221, 2239, and 2251 are the first case of three consecutive lucky numbers all being primes. [Gaydos]

10^1000 is probably in a prime gap of length 2221. Found using n(10^1000)-b(10^1000)-1 at Apertron. [Gaydos]