311 (number)

Encyclopedia : 3 : 31 : 311 : 311 (number)

This article is about the numerical value. For alternate uses, please see 311 (disambiguation).




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311
Cardinal Three hundred [and] eleven
Ordinal 311th
Factorization Prime
Roman numeral CCCXI
Binary 100110111
Hexadecimal 137

311 is the natural number after 310 and before 312.

In mathematics

311 is a twin prime with 313, an Eisenstein prime with no imaginary part and real part of the form [3n - 1], a Gaussian prime with no imaginary part and real part of the form [4n - 1], and a permutable prime with 113 and 131.

It can be expressed as a sum of consecutive primes in three different ways: as a sum of three consecutive primes (101 + 103 + 107), as a sum of five consecutive primes (53 + 59 + 61 + 67 + 71), and as a sum of seven consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59).

311 is a strictly non-palindromic number, as it is not palindromic in any base between base 2 and base 309.

Notable uses of numerical value

311 is considered slang for KKK, because K is the 11th letter of the English alphabet, so 3 11 is KKK. It is used by a gang in Las Vegas, known as the 311 Boyz. ([A different breed: 311 Boyz are unlike other gangs])
311 is the number of times Timothy Leary claimed to have taken LSD in his interview with Playboy Magazine. The article is titled She Comes in Colors and it appears in the September 1996 issue. A reprint of the article appears in his book, The Politics of Ecstasy.
311 was formerly the Los Angeles Police Code for an armed robbery. This is sometimes referenced in Hip-Hop/Rap music and movies.

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