1279

This number is a prime.

The smallest prime whose rearrangement of digits gives the famous Hardy-Ramanujan number (1729). [Gupta]

There are 666 sevens in the first 1279 prime numbers. [Gaydos]

The smallest prime p such that 2^p-1 is also a prime that contains the beast number. [Loungrides]

The smallest prime number whose digits can be rearranged to make both a square and a cube (7921 = 89^2, 2197 = 13^3). [Gaydos]

The smallest prime that remains prime for D= 0, 2, 4, 6 and 8 in 1D2D7D9. [Gupta]

The smallest prime (emirp also) p such that p and p^2 contain all digits from 1 to 9. [Gupta]