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271 (number)

271 (two hundred [and] seventy-one) is the natural number after and before .

Properties

271 is a twin prime with 269, a cuban prime (a prime number that is the difference of two consecutive cubes), and a centered hexagonal number. It is the smallest prime number bracketed on both sides by numbers divisible by cubes,

and .

After 7, 271 is the second-smallest Eisenstein–Mersenne prime, one of the analogues of the Mersenne primes in the Eisenstein integers.

271 is the largest prime factor of the five-digit repunit 11111, and the largest prime number for which the decimal period of its multiplicative inverse is 5:

It is a sexy prime with 277.

References