# 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 2 curios for this number that have not yet been approved by an editor.)

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