1277
This number is a prime.
The smallest 4-digit prime p such that the differences between the five consecutive primes starting with p are (2,4,6,2). [Russo]
The smallest prime formed by concatenating n double Mersenne primes (7, 127). Note that 7127 is also a prime. [Loungrides]
The smallest prime whose reversal of square is a Cyclops prime, i.e., 1277^2 = 1630729 with reversal 9270361 that is prime. [Loungrides]
(1277, 1279) is the first case of a twin prime pair (p, p+2) such that 2^p and 2^(p+2) are both "apocalyptic numbers". [Loungrides]
The smallest prime number whose sum of digits equals the sum of digits of its digital product. [Gaydos]
2^1277-1 is the smallest composite Mersenne number in which no prime factors are known. [Nie]