271

271 is a prime number.

269 and 271 form a twin prime pair.

271 is a number that cannot be written as a sum of three squares.

271 is the sum of eleven consecutive primes: 271 = 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43.

271 is a Google number. The nth Google number is the first n-digit prime found in the decimal expansion of e. This sequence of numbers was originally featured in an unusual job ad placed by Google. The first few numbers in the sequence are

2,

71,

271,

4523,

74713,

904523, . . .

271 is a centered hexagonal number.

Source: Number Gossip

71

71 is the 20th prime number.

The numbers 2, 5, 71, 369119, and 415074643 are the only known numbers that divide the sum of all the primes less than themselves.

71 is a centered heptagonal number: 1, 8, 22, 43, 71, 106, 148, 197, . . .

71 is a Google prime. The nth Google number is the first n-digit prime found in the decimal expansion of e: 2, 71, 271, 4523, 74713, . . . The name stems from a famous job ad created by Google that said: “{first 10-digit prime found in consecutive digits of e}.com.”

Some insinuated that each letter could influence the following one and that the value of MCV in the third line of page 71 was not the one the same series may have in another position on another page, but this vague thesis did not prevail.—Jorge Luis Borges, “The Library of Babel”

Source: Number Gossip; Wikipedia
Image: Wikipedia (Claudio Rocchini)