2269
This number is a prime.
The least power of 2 to have 6 consecutive digits "6" in
its decimal representation is 2^2269. [Hasler]
The norm of the 3rd Eisenstein-Mersenne prime, and the least prime (of the form p=7k+1) which divides Fibonacci((p-1)/7). [Hasler]
Smallest odd (or multidigit) prime in decimal expansion of
2/log(1+sqrt(2)). It is important in physics as the critical
temperature for two-dimensional Ising model. [Post]
The smallest prime number for which the sum of the squares
of its digits is a cube and the sum of the cubes of its
digits is a square. [Gaydos]
(There are 6 curios for this number that have not yet been approved by an editor.)
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