# 271

This number is a prime.

A prime formed from the first three digits of the base for natural logarithms: *e* = 2.7182818284 5904523536 0287471352....

2^{271} reversed is prime. [Nash]

George W. Bush won the U.S. Presidency with 271 electoral votes in the 2000 Presidential Election, yet Al Gore had received a majority of the popular vote.

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 greatest prime factor of any 5-digit repdigit is 271. [La Haye]

271^2 and 271^3 form primes upon reversal. [Trotter]

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 number of possible bowling games with a score of 271 is the next prime. (Two bowling games are the same if the number of pins knocked down each roll are equal.)

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 smallest number n such that 100!-n is prime. [Loungrides]

George Scott was a three-time All-Star and hit 271 home runs, or taters, as he called them. [Goldstein]

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]

271 is the only prime *house
number*. [Sariyar]

12 + 34 + 56 + 78 + 90 +/- 1 are twin primes, this one being the largest. [Homewood]

2^271 is the smallest power of 2 that is in a 4-digit prime gap (1023). [Gaydos]