57 (number)
Encyclopedia
57 is the natural number
following 56
and preceding 58
.
and the sixth in the (3.q) family. With 58 it forms the fourth discrete bi-prime pair. 57 has an aliquot sum of 23 and is the first composite member of the 23-aliquot tree. Although 57 is not prime, it is jokingly known as the "Grothendieck prime" after a story in which Grothendieck
supposedly gave it as an example of a particular prime number.
As a semiprime
, 57 is a Blum integer
since its two prime factors are both Gaussian primes.
57 is a 20-gonal number
. It is a Leyland number
since 25 + 52 = 57.
57 is a repdigit
in base 7 (111).
See also 57-cell.
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 56
56 (number)
56 is the natural number following 55 and preceding 57.- Mathematics :56 is the sum of the first six triangular numbers , as well as the sum of six consecutive primes . It is also a tetranacci number and a pronic number. Adding up the divisors of 1 through 8 gives 56...
and preceding 58
58 (number)
58 is the natural number following 57 and preceding 59.-In mathematics:Fifty-eight has an aliquot sum of 32 and is the second composite member of the 83-aliquot tree....
.
In mathematics
Fifty-seven is the sixteenth discrete semiprimeSemiprime
In mathematics, a semiprime is a natural number that is the product of two prime numbers. The first few semiprimes are 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, ... ....
and the sixth in the (3.q) family. With 58 it forms the fourth discrete bi-prime pair. 57 has an aliquot sum of 23 and is the first composite member of the 23-aliquot tree. Although 57 is not prime, it is jokingly known as the "Grothendieck prime" after a story in which Grothendieck
Alexander Grothendieck
Alexander Grothendieck is a mathematician and the central figure behind the creation of the modern theory of algebraic geometry. His research program vastly extended the scope of the field, incorporating major elements of commutative algebra, homological algebra, sheaf theory, and category theory...
supposedly gave it as an example of a particular prime number.
As a semiprime
Semiprime
In mathematics, a semiprime is a natural number that is the product of two prime numbers. The first few semiprimes are 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, ... ....
, 57 is a Blum integer
Blum integer
In mathematics, a natural number n is a Blum integer if n = p×q is a semiprime for which p and q are distinct prime numbers congruent to 3 mod 4. That is, p and q must be of the form 4t+3, for some integer t. Primes of this form are referred to as Blum primes. This means that the factors of a Blum...
since its two prime factors are both Gaussian primes.
57 is a 20-gonal number
Polygonal number
In mathematics, a polygonal number is a number represented as dots or pebbles arranged in the shape of a regular polygon. The dots were thought of as alphas . These are one type of 2-dimensional figurate numbers.- Definition and examples :...
. It is a Leyland number
Leyland number
In number theory, a Leyland number is a number of the form xy + yx, where x and y are integers greater than 1. The first few Leyland numbers are...
since 25 + 52 = 57.
57 is a repdigit
Repdigit
In recreational mathematics, a repdigit is a natural number composed of repeated instances of the same digit, most often in the decimal numeral system....
in base 7 (111).
See also 57-cell.
Astronomy
- Messier objectMessier objectThe Messier objects are a set of astronomical objects first listed by French astronomer Charles Messier in 1771. The original motivation of the catalogue was that Messier was a comet hunter, and was frustrated by objects which resembled but were not comets...
M57Ring NebulaThe famously named "Ring Nebula" appears in the northern constellation of Lyra and is located in the Carina–Sagittarius Arm...
, a magnitude 9.5 planetary nebulaPlanetary nebulaA planetary nebula is an emission nebula consisting of an expanding glowing shell of ionized gas ejected during the asymptotic giant branch phase of certain types of stars late in their life...
in the constellationConstellationIn modern astronomy, a constellation is an internationally defined area of the celestial sphere. These areas are grouped around asterisms, patterns formed by prominent stars within apparent proximity to one another on Earth's night sky....
LyraLyraLyra is a small constellation. It is one of the 48 constellations listed by the 2nd century astronomer Ptolemy, and remains one of the 88 modern constellations recognized by the International Astronomical Union. Its principal star, Vega — a corner of the Summer Triangle — is one of the brightest...
, also known as the Ring NebulaRing NebulaThe famously named "Ring Nebula" appears in the northern constellation of Lyra and is located in the Carina–Sagittarius Arm... - The New General CatalogueNew General CatalogueThe New General Catalogue of Nebulae and Clusters of Stars is a well-known catalogue of deep sky objects in astronomy. It contains 7,840 objects, known as the NGC objects...
object NGC 57NGC 57NGC 57 is an elliptical galaxy in the constellation Pisces.- SN 2010dq :On June 3, 2010, Koichi Itagaki detected a magnitude 17 supernova 17" west and 1" south of the center of NGC 57 at coordinates 00 15 29.70 +17 19 41.0.-External links:...
, an elliptical galaxyElliptical galaxyAn elliptical galaxy is a galaxy having an approximately ellipsoidal shape and a smooth, nearly featureless brightness profile. They range in shape from nearly spherical to highly flat and in size from hundreds of millions to over one trillion stars...
in the constellation PiscesPisces (constellation)Pisces is a constellation of the zodiac. Its name is the Latin plural for fish, and its symbol is . It lies between Aquarius to the west and Aries to the east...
. - The Saros cycleSaros cycleThe saros is a period of 223 synodic months , that can be used to predict eclipses of the Sun and Moon. One saros after an eclipse, the Sun, Earth, and Moon return to approximately the same relative geometry, and a nearly identical eclipse will occur, in what is referred to as an eclipse cycle...
number of the solar eclipseSolar eclipseAs seen from the Earth, a solar eclipse occurs when the Moon passes between the Sun and the Earth, and the Moon fully or partially blocks the Sun as viewed from a location on Earth. This can happen only during a new moon, when the Sun and the Moon are in conjunction as seen from Earth. At least...
series which began on -1161 June 17 and ended on 137 August. The duration of Saros series 57 was 1298.1 years, and it contained 73 solar eclipses. - The Saros cycle number of the lunar eclipseLunar eclipseA lunar eclipse occurs when the Moon passes behind the Earth so that the Earth blocks the Sun's rays from striking the Moon. This can occur only when the Sun, Earth, and Moon are aligned exactly, or very closely so, with the Earth in the middle. Hence, a lunar eclipse can only occur the night of a...
series which began on -823 April 16 and ended on 475 June. The duration of Saros series 57 was 1298.1 years, and it contained 73 lunar eclipses.
In music
- Incident on 57th Street, a song by Bruce SpringsteenBruce SpringsteenBruce Frederick Joseph Springsteen , nicknamed "The Boss," is an American singer-songwriter who records and tours with the E Street Band...
and the E Street BandE Street BandThe E Street Band has been rock musician Bruce Springsteen's primary backing band since 1972.The band has also recorded with a wide range of other artists including Bob Dylan, Meat Loaf, Bonnie Tyler, Air Supply, Dire Straits, David Bowie, Peter Gabriel, Stevie Nicks, Tom Morello, Sting, Ian...
, from their 1973 album, "The Wild, the Innocent and the E Street ShuffleThe Wild, the Innocent and the E Street ShuffleThe Wild, the Innocent & the E Street Shuffle is the second album by Bruce Springsteen and the as-yet-unnamed E Street Band, and is described by Allmusic as "one of the greatest albums in the history of rock & roll." It was released in 1973...
" - 57 Channels (and Nothin' On), a song by Bruce SpringsteenBruce SpringsteenBruce Frederick Joseph Springsteen , nicknamed "The Boss," is an American singer-songwriter who records and tours with the E Street Band...
, from his 1992 album Human TouchHuman TouchHuman Touch is the ninth studio album by Bruce Springsteen, released in 1992 . This album was co-released on the same day as Lucky Town... - "5757 (song)"57" is a song by Biffy Clyro from their 2002 debut album, Blackened Sky, and was the band's third single.-Track listings:Songs and lyrics by Simon Neil...
", the name of a song by Biffy ClyroBiffy ClyroBiffy Clyro are a Scottish rock band from Kilmarnock, comprising Simon Neil , James Johnston and Ben Johnston...
on their 2002 debut album, Blackened SkyBlackened SkyBlackened Sky is the debut studio album by Scottish alternative rock band Biffy Clyro, released on 10 March 2002, on Beggars Banquet Records... - Andy Warstar's record label - Studio 57
- Alternative country band Slick 57
- The Shure SM 57 is considered the workhorse of recording mics
In fiction and media
- B'hrian Bloodaxe, the first Low King of the dwarfs, killed fifty-seven trolls in the legendary Battle of Koom Valley on DiscworldDiscworldDiscworld is a comic fantasy book series by English author Sir Terry Pratchett, set on the Discworld, a flat world balanced on the backs of four elephants which, in turn, stand on the back of a giant turtle, Great A'Tuin. The books frequently parody, or at least take inspiration from, J. R. R....
(a fictional world created by author Terry PratchettTerry PratchettSir Terence David John "Terry" Pratchett, OBE is an English novelist, known for his frequently comical work in the fantasy genre. He is best known for his popular and long-running Discworld series of comic fantasy novels...
) - Summer of Fifty Seven by Stephen C. Joseph
- There are 57 movie references in the movie 'Scream'.
- Passenger 57Passenger 57Passenger 57 is a 1992 American action film starring Wesley Snipes and Bruce Payne. The film's success made Snipes a popular action hero icon.-Plot:...
, a film starring Wesley SnipesWesley SnipesWesley Trent Snipes is an American actor, film producer, and martial artist, who has starred in numerous action films, thrillers, and dramatic feature films. Snipes is known for playing the Marvel Comics character Blade in the Blade film trilogy, among various other high profile roles... - Agent 57 is the name of the master of disguise in the television series DangermouseDangerMouseDanger Mouse is a British animated television series which was produced by Cosgrove Hall Films for Thames Television. It features the eponymous Danger Mouse, an English mouse who works as a superhero/secret agent. The show is a loose parody of British spy fiction, particularly James Bond and the...
. - The 57th Overlanders is a fictional brigadeBrigadeA brigade is a major tactical military formation that is typically composed of two to five battalions, plus supporting elements depending on the era and nationality of a given army and could be perceived as an enlarged/reinforced regiment...
mentioned in the television series FireflyFirefly (TV series)Firefly is an American space western television series created by writer and director Joss Whedon, under his Mutant Enemy Productions label. Whedon served as executive producer, along with Tim Minear....
. - Exit 57, a sketch comedy show that aired on Comedy Central from 1995-96. Featured Stephen ColbertStephen ColbertStephen Tyrone Colbert is an American political satirist, writer, comedian, television host, and actor. He is the host of Comedy Central's The Colbert Report, a satirical news show in which Colbert portrays a caricatured version of conservative political pundits.Colbert originally studied to be an...
, Paul DinelloPaul DinelloPaul Dinello is an American actor, comedian, writer, director, and an alumnus of Chicago-based The Second City, Improv Institute, and Annoyance Theatre...
, Jodi Lennon, Mitch RouseMitch RouseEdward Mitchell "Mitch" Rouse is an American film and television actor, director and screenwriter.Rouse was born in Knoxville, Tennessee, and raised in Oak Ridge, Tennessee, where he played football at Oak Ridge High School. He attended the University of Tennessee before developing an interest in...
and Amy SedarisAmy SedarisAmy Louise Sedaris is an American actress, author, and comedian. She is known for playing the character Jerri Blank in the Comedy Central television series Strangers with Candy. Sedaris regularly collaborates with her older brother, humorist and author David Sedaris...
. - C-57D is the designation of the spaceship featured in the movie Forbidden PlanetForbidden PlanetForbidden Planet is a 1956 science fiction film directed by Fred M. Wilcox, with a screenplay by Cyril Hume. It stars Leslie Nielsen, Walter Pidgeon, and Anne Francis. The characters and its setting have been compared to those in William Shakespeare's The Tempest, and its plot contains certain...
, and is referenced in the movie SerenitySerenity (film)Serenity is a 2005 space western film written and directed by Joss Whedon. It is a continuation of the short-lived 2002 Fox science fiction television series Firefly, taking place after the events of the final episode. Set in 2518, Serenity is the story of the captain and crew of a cargo ship...
as well. - West 57 was a weekly news-magazine show on CBSCBSCBS Broadcasting Inc. is a major US commercial broadcasting television network, which started as a radio network. The name is derived from the initials of the network's former name, Columbia Broadcasting System. The network is sometimes referred to as the "Eye Network" in reference to the shape of...
, 1985–89, hosted by Meredith VieiraMeredith VieiraMeredith Louise Vieira is an American journalist, television personality, and game show host. She is best known for her roles as the original moderator of the ABC talk program The View and co-host of the long-running NBC News morning news program, Today...
. - In the first storyboard draft for PixarPixarPixar Animation Studios, pronounced , is an American computer animation film studio based in Emeryville, California. The studio has earned 26 Academy Awards, seven Golden Globes, and three Grammy Awards, among many other awards and acknowledgments. Its films have made over $6.3 billion worldwide...
's film CarsCars (film)Cars is a 2006 American animated family film produced by Pixar and directed by John Lasseter and co-directed by Joe Ranft. It is the seventh Disney·Pixar feature film, and Pixar's final, independently-produced motion picture before its purchase by Disney...
, the main character, a race car named Lightning McQueen was going to have number 57 as his racing number, in reference to director John LasseterJohn LasseterJohn Alan Lasseter is an American animator, director and the chief creative officer at Pixar and Walt Disney Animation Studios. He is also currently the Principal Creative Advisor for Walt Disney Imagineering....
's birthdate, January 12, 1957. But in the final cut, Lightning's racing number changed to 9595 (number)95 is the natural number following 94 and preceding 96.-In mathematics:Ninety-five is the thirtieth distinct semiprime and the fifth of the form...
. - Studio 57 was a dramatic anthology series in 1954, starring Brian KeithBrian KeithBrian Keith was an American film, television, and stage actor who in his four decade-long career gained recognition for his work in movies such as the 1961 Disney family film The Parent Trap, the 1966 comedy The Russians Are Coming, the Russians Are Coming, and the 1975 adventure saga The Wind and...
and Carolyn JonesCarolyn JonesCarolyn Sue Jones was an American actress.Jones began her film career in the early 1950s, and by the end of the decade had achieved recognition with a nomination for an Academy Award for Best Supporting Actress for The Bachelor Party and a Golden Globe Award as one of the most promising actresses...
. - The Fabulous 57 were disk jockeys on WMCAWMCAWMCA, 570 AM, is a radio station in New York City, most known for its "Good Guys" Top 40 era in the 1960s. It is currently owned by Salem Communications and plays a Christian radio format...
570 Radio, New YorkNew YorkNew York is a state in the Northeastern region of the United States. It is the nation's third most populous state. New York is bordered by New Jersey and Pennsylvania to the south, and by Connecticut, Massachusetts and Vermont to the east...
during the 1960s. - Marvel Comics' character VisionVision (Marvel Comics)The Vision is the name of three fictional characters that appear in comic books published by Marvel Comics.-Publication history:The first Vision was created by the writer-artist team of Joe Simon and Jack Kirby in Marvel Mystery Comics #13 The Vision is the name of three fictional characters that...
debuts in issue #57 of The Avengers. - The climax of the movie EraserEraser (film)Eraser is a 1996 American action film starring Arnold Schwarzenegger, James Caan and Vanessa L. Williams. It was directed by Chuck Russell. The film was nominated for an Academy Award for Sound Effects Editing in 1996.-Plot:...
occurs on Pier 57. - The Robot ChickenRobot ChickenRobot Chicken is an American stop motion animated television series created and executive produced by Seth Green and Matthew Senreich along with co-head writers Douglas Goldstein and Tom Root. Green provides many voices for the show...
sketch "Pluto Nash Day" notes that 57 people at 20th Century Fox20th Century FoxTwentieth Century Fox Film Corporation — also known as 20th Century Fox, or simply 20th or Fox — is one of the six major American film studios...
Studios died amid rioting and suicide. - A Robot Chicken parody of the NBC TV series HeroesHeroes (TV series)Heroes is an American science fiction television drama series created by Tim Kring that appeared on NBC for four seasons from September 25, 2006 through February 8, 2010. The series tells the stories of ordinary people who discover superhuman abilities, and how these abilities take effect in the...
uses the episode title "Chapter Fifty-seven: Uncle Glen." - The Cartoon NetworkCartoon NetworkCartoon Network is a name of television channels worldwide created by Turner Broadcasting which used to primarily show animated programming. The channel began broadcasting on October 1, 1992 in the United States....
program MetalocalypseMetalocalypseMetalocalypse is an American animated television series, created by Brendon Small and Tommy Blacha, which premiered on August 6, 2006 on Adult Swim...
has a fictional television station WHYK-57.
In other fields
Fifty-seven is:- A Boy ScoutBoy ScoutA Scout is a boy or a girl, usually 11 to 18 years of age, participating in the worldwide Scouting movement. Because of the large age and development span, many Scouting associations have split this age group into a junior and a senior section...
Troop from the Des Plaines Valley Council - The number of the French department MoselleMoselleMoselle is a department in the east of France named after the river Moselle.- History :Moselle is one of the original 83 departments created during the French Revolution on March 4, 1790...
- The code for international direct dial phone calls to ColombiaColombiaColombia, officially the Republic of Colombia , is a unitary constitutional republic comprising thirty-two departments. The country is located in northwestern South America, bordered to the east by Venezuela and Brazil; to the south by Ecuador and Peru; to the north by the Caribbean Sea; to the...
- The designation of Interstate 57Interstate 57Interstate 57 is an Interstate Highway in Missouri and Illinois that parallels the old Illinois Central rail line for much of its route. It goes from Miner, Missouri, at Interstate 55 to Chicago, Illinois, at Interstate 94. I-57 essentially serves as a shortcut route for travelers headed between...
(I-57), a freeway that runs from Miner, MissouriMiner, MissouriMiner is a city in Mississippi and Scott counties in the U.S. state of Missouri. It borders the city of Sikeston to the east. The population was 1,056 at the 2000 census.-Geography:Miner is located at ....
to ChicagoChicagoChicago is the largest city in the US state of Illinois. With nearly 2.7 million residents, it is the most populous city in the Midwestern United States and the third most populous in the US, after New York City and Los Angeles... - Municipal Okrug 57, name of Pravoberezhny Municipal Okrug in Nevsky District of Saint PetersburgSaint PetersburgSaint Petersburg is a city and a federal subject of Russia located on the Neva River at the head of the Gulf of Finland on the Baltic Sea...
, Russia, until 2011 - Heinz 57Heinz 57Heinz 57 is a shortened, popular form of the "57 Varieties" slogan ofPittsburgh's H. J. Heinz Company. In its early days, the company wanted to advertise the great number of choices of canned and bottled foods it offered for sale. Although the company had more than 60 products in 1892, the number...
is a brand of sauceSauceIn cooking, a sauce is liquid, creaming or semi-solid food served on or used in preparing other foods. Sauces are not normally consumed by themselves; they add flavor, moisture, and visual appeal to another dish. Sauce is a French word taken from the Latin salsus, meaning salted...
, and the number of varieties of foods claimed to be produced by the H.J. Heinz Company - The model name of a MaybachMaybachMaybach-Motorenbau GmbH is a German luxury car manufacturer. It was founded in 1909 by Wilhelm Maybach and his son. The company was originally a subsidiary of Luftschiffbau Zeppelin GmbH and was itself known as Luftfahrzeug-Motorenbau GmbH until 1912.Today, the ultra-luxury car brand is owned by...
car - Ship: USS Lake Champlain CG 57
- Carnegie HallCarnegie HallCarnegie Hall is a concert venue in Midtown Manhattan in New York City, United States, located at 881 Seventh Avenue, occupying the east stretch of Seventh Avenue between West 56th Street and West 57th Street, two blocks south of Central Park....
is on West 57th Street in New York City - "Prop(osition) 57" is one of a number of anti-ketchup packet groups on FacebookFacebookFacebook is a social networking service and website launched in February 2004, operated and privately owned by Facebook, Inc. , Facebook has more than 800 million active users. Users must register before using the site, after which they may create a personal profile, add other users as...
designed to bring attention to the shortcomings of take-out condiment packaging. The name is a reference to HeinzHeinzHeinz may refer to:People with the surname Heinz:*Drue Heinz, American arts patron*H. John Heinz III , U.S. senator from Pennsylvania*H. John Heinz IV , eldest son of Senator John Heinz...
Co. which debuted a new design in test markets in early 2010 - A fast food dinner in Pereira, ColombiaPereira, ColombiaPereira is the capital city of the Colombian department of Risaralda. It stands in the center of the western region of the country, located in a small valley that descends from a part of the western Andes mountain chain. Its strategic location in the coffee producing area makes the city an urban...