709
This number is a prime.
The smallest prime of the form 59n + 1.
The smallest prime whose cube is the sum of three prime cubes: 709^3 is 193^3 + 461^3 + 631^3. [Rivera]
709 ones followed by 709 is prime. [Wilson]
The smallest emirp whose binary representation
(10110001012) is also an emirp in base ten. [Beedassy]
The happy prime on General Esperanza's cargo plane in the movie "Die Hard 2." [JoJo]
709 equals p(p(p(p(p(p(p(1))))))), where p(n) is the nth
prime number. [Keith]
The sum of the first six Honaker numbers. [Whitt]
The first Cyclops emirp formed in the decimal expansion of
e. [Bajpai]
61307 and the reversal of the 61307th prime number have the
same sum of divisors. i.e., 709. [Gaydos]
709 is the first of three consecutive emirps {709, 739, 769} with common differences: 907-709 = 937-739 = 967-769 = 198. [Bergot]
The smallest prime p for which p and p^2 have the same sum
of squares of digits. [Gaydos]