311 (three hundred ndeleven) is the

natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal n ...

following

310 __NOTOC__ Year 310 ( CCCX) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Andronicus and Probus (or, less frequently, year 1063 '' ...

and preceding 312.

In mathematics

311 is the 64th

prime A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...

; a

twin prime A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin pr ...

with 313; an

irregular prime In number theory, a regular prime is a special kind of prime number, defined by Ernst Kummer in 1850 to prove certain cases of Fermat's Last Theorem. Regular primes may be defined via the divisibility of either class numbers or of Bernoulli num ...

; an

emirp An emirp (''prime'' spelled backwards) is a prime number that results in a different prime when its decimal digits are reversed. This definition excludes the related palindromic primes. The term ''reversible prime'' is used to mean the same as ...

, an

Eisenstein prime In mathematics, an Eisenstein prime is an Eisenstein integer : z = a + b\,\omega, \quad \text \quad \omega = e^, that is irreducible (or equivalently prime) in the ring-theoretic sense: its only Eisenstein divisors are the units , itself ...

with no

imaginary part In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the form ...

and

real part In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the form ...

of the form

3n - 1

; a

Gaussian prime In number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as \mathbf /ma ...

with no imaginary part and real part of the form

4n - 1

; and a

permutable prime A permutable prime, also known as anagrammatic prime, is a prime number which, in a given base, can have its digits' positions switched through any permutation and still be a prime number. H. E. Richert, who is supposedly the first to study th ...

with

113 113 may refer to: *113 (number), a natural number *AD 113, a year * 113 BC, a year *113 (band), a French hip hop group * 113 (MBTA bus), Massachusetts Bay Transportation Authority bus route * 113 (New Jersey bus), Ironbound Garage in Newark and run ...

and 131. It can be expressed as a sum of consecutive primes in four different ways: as a sum of three consecutive primes (101 + 103 + 107), as a sum of five consecutive primes (53 + 59 + 61 + 67 + 71), as a sum of seven consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59), and as a sum of eleven consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). 311 is a strictly non-palindromic number, as it is not palindromic in any base between base 2 and base 309. 311 is the smallest positive integer ''d'' such that the imaginary

quadratic field In algebraic number theory, a quadratic field is an algebraic number field of degree two over \mathbf, the rational numbers. Every such quadratic field is some \mathbf(\sqrt) where d is a (uniquely defined) square-free integer different from 0 a ...

Q() has class number = 19.

Notable uses of numerical value

* 311 is used in the name of a gang in

Las Vegas Las Vegas (; Spanish for "The Meadows"), often known simply as Vegas, is the 25th-most populous city in the United States, the most populous city in the state of Nevada, and the county seat of Clark County. The city anchors the Las Vegas ...

, known as the 311 Boyz. * 311 was formerly the Los Angeles Police Code for an armed robbery. This is sometimes referenced in Hip-Hop/Rap music and films. * 3-1-1 is a special phone number used in many large cities such as

New York City New York, often called New York City or NYC, is the List of United States cities by population, most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the L ...

Chicago (''City in a Garden''); I Will , image_map = , map_caption = Interactive Map of Chicago , coordinates = , coordinates_footnotes = , subdivision_type = Country , subdivision_name ...

Houston Houston (; ) is the most populous city in Texas, the most populous city in the Southern United States, the fourth-most populous city in the United States, and the sixth-most populous city in North America, with a population of 2,304,580 in ...

, and

Los Angeles Los Angeles ( ; es, Los Ángeles, link=no , ), often referred to by its initials L.A., is the largest city in the state of California and the second most populous city in the United States after New York City, as well as one of the world' ...

that provides access to non-emergency

municipal A municipality is usually a single administrative division having corporate status and powers of self-government or jurisdiction as granted by national and regional laws to which it is subordinate. The term ''municipality'' may also mean the go ...

services. *

311 311 may refer to: * 311 (number), a natural number * AD 311, a year of the Julian calendar, in the fourth century AD * 311 BC, a year of the pre-Julian Roman calendar * 311 (band), an American band ** ''311'' (album), band 311's self-titled album ...

is the name of an American alternative rock band. * As "311" or "3/11", typically pronounced "three-eleven" by analogy with "

9/11 The September 11 attacks, commonly known as 9/11, were four coordinated suicide terrorist attacks carried out by al-Qaeda against the United States on Tuesday, September 11, 2001. That morning, nineteen terrorists hijacked four commercial ...

", it is commonly used to refer the calendar dates November 3 or March 11, depending on which date notation is used. The latter usage may refer to the March 11, 2011, Tōhoku earthquake and tsunami in Japan or the March 11, 2004, Madrid train bombings. * According to the

Anti-Defamation League The Anti-Defamation League (ADL), formerly known as the Anti-Defamation League of B'nai B'rith, is an international Jewish non-governmental organization based in the United States specializing in civil rights law. It was founded in late Septe ...

, 311 is a hate symbol used by some

Ku Klux Klan The Ku Klux Klan (), commonly shortened to the KKK or the Klan, is an American white supremacist, right-wing terrorist, and hate group whose primary targets are African Americans, Jews, Latinos, Asian Americans, Native Americans, and ...

members, referring to three repetitions of the eleventh letter of the Latin alphabet ("K").
Hate Number Symbols: 311 - From A Visual Database of Extremist Symbols, Logos and Tattoos
''. Anti-Defamation League. Accessed 2008-08-21. "The eleventh letter of the alphabet is the letter "K"; thus 3 times 11 equals "KKK," or Ku Klux Klan."

References

{{Integers, 3 Integers