A prime formed from the first three digits of the base for natural logarithms: e = 2.7182818284 5904523536 0287471352....
2271 reversed is prime. [Nash]
HMS Plym (K 271), a River-class anti-submarine frigate built for the Royal Navy was vaporized in Britain's first A-bomb explosion off the Monte Bello Islands, Australia, on the day tea rationing was lifted in the United Kingdom (October 3, 1952). [Croll]
The first number n for which 15n-4, 15n-2, 15n+2 and 15n+4 are all composite, but 15n-14, 15n-8, 15n+8 and 15n+14 are all prime.
There are exactly 271 positive numbers that give larger numbers when you write out their English names and add the letters using the alphabet code, i.e., a = 1, b = 2, etc. [Hartley]
The smallest prime p such that (p - 1) and (p + 1) are each divisible by a cube greater than one. [Beedassy]
The longest of the three edges (271, 106, 103) of the smallest perfect parallelepiped. Note that the latter's shortest edge is also prime and, taken together with the middle edge, forms an emirp (106103). [Beedassy]
The smaller of only two primes less than a googol formed by concatenating in descending order the cubes of first n odd numbers, (case n=2). The other prime is for n=14. [Loungrides]
The ten digits appear a different number of times each in the primes from 2 to p for the first time when p = 271. [Gaydos]
(There are 7 curios for this number that have not yet been approved by an editor.)