271

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 the smallest prime number bracketed by numbers with five primes (counting repetitions) in their factorizations: 270 = 2 ⋅ 3 3 ⋅ 5 {\displaystyle 270=2\cdot 3^{3}\cdot 5} and 272 = 2 4 ⋅ 17 {\displaystyle 272=2^{4}\cdot 17}.