43 (number)
Encyclopedia
43 is the natural number
following 42
and preceding 44
.
. The previous is forty-one, with which it comprises a twin prime
, and the next is forty-seven
. 43 is the smallest prime that is not a Chen prime
. It is also the third Wagstaff prime.
43 is the fourth term of Sylvester's sequence
, one more than the product of the previous terms (2 × 3 × 7).
43 is a centered heptagonal number
.
Let a(0) = a(1) = 1, and thenceforth a(n) = (a(0)2 + a(1)2 + ... + a(n-1)2) / (n-1). This sequence continues 1 1 2 3 5 10 28 154... . Amazingly, a(43) is the first term of this sequence that is not an integer
.
43 is a Heegner number
.
43 is a repdigit
in base 6 (111).
43 is the largest natural number that is not an (original) McNugget number.
This is the smallest prime number expressible as the sum of 2, 3, 4, or 5 different primes:
The date magic square at right illustrates the magic constant
as the sum of four primes:
When taking the first six terms of the Taylor series
for computing e
, one obtains
which is also five minus the fifth harmonic number.
, the number 43 was worn by Jim Norton of the Tennessee Titans
(formerly the Houston Oilers). The Titans have retired the number.
In auto racing:
In basketball:
In Ice Hockey:
In baseball:
called Cars
, the champion racecar in the film, Strip "The King" Wheathers is racecar number 43 based on Richard Petty's car. Petty
also provides the voice of "The King" in the film.
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 42
42 (number)
42 is the natural number immediately following 41 and directly preceding 43. The number has received considerable attention in popular culture as a result of its central appearance in The Hitchhiker's Guide to the Galaxy as the "Answer to the Ultimate Question of Life, the Universe, and...
and preceding 44
44 (number)
44 is the natural number following 43 and preceding 45.- In mathematics :Forty-four is a tribonacci number, a happy number, an octahedral number and a palindromic number....
.
In mathematics
Forty-three is the 14th smallest prime numberPrime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
. The previous is forty-one, with which it comprises a twin prime
Twin prime
A twin prime is a prime number that differs from another prime number by two. Except for the pair , this is the smallest possible difference between two primes. Some examples of twin prime pairs are , , , , and...
, and the next is forty-seven
47 (number)
47 is the natural number following 46 and preceding 48.-In mathematics:Forty-seven is the fifteenth prime number, a safe prime, the thirteenth supersingular prime, and the sixth Lucas prime. Forty-seven is a highly cototient number...
. 43 is the smallest prime that is not a Chen prime
Chen prime
A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes. The even number 2p + 2 therefore satisfies Chen's theorem....
. It is also the third Wagstaff prime.
43 is the fourth term of Sylvester's sequence
Sylvester's sequence
In number theory, Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are:...
, one more than the product of the previous terms (2 × 3 × 7).
43 is a centered heptagonal number
Centered heptagonal number
A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers...
.
Let a(0) = a(1) = 1, and thenceforth a(n) = (a(0)2 + a(1)2 + ... + a(n-1)2) / (n-1). This sequence continues 1 1 2 3 5 10 28 154... . Amazingly, a(43) is the first term of this sequence that is not an integer
Integer
The integers are formed by the natural numbers together with the negatives of the non-zero natural numbers .They are known as Positive and Negative Integers respectively...
.
43 is a Heegner number
Heegner number
In number theory, a Heegner number is a square-free positive integer d such that the imaginary quadratic field Q has class number 1...
.
43 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 6 (111).
43 is the largest natural number that is not an (original) McNugget number.
| 4 | 15 | 17 | 7 |
| 5 | 19 | 13 | 6 |
| 20 | 9 | 2 | 12 |
| 14 | 0 | 11 | 18 |
This is the smallest prime number expressible as the sum of 2, 3, 4, or 5 different primes:
- 43 = 41 + 2
- 43 = 11 + 13 + 19
- 43 = 2 + 11 + 13 + 17
- 43 = 3 + 5 + 7 + 11 + 17.
The date magic square at right illustrates the magic constant
Magic constant
The magic constant or magic sum of a magic square is the sum of numbers in any row, column, and diagonal of the magic square. For example, the magic square shown below has a magic constant of 15....
as the sum of four primes:
When taking the first six terms of the Taylor series
Taylor series
In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point....
for computing e
E
E is the fifth letter and a vowel in the basic modern Latin alphabet. It is the most commonly used letter in the Czech, Danish, Dutch, English, French, German, Hungarian, Latin, Norwegian, Spanish, and Swedish languages.-History:...
, one obtains
which is also five minus the fifth harmonic number.
In science
- The chemical element with the atomic numberAtomic numberIn chemistry and physics, the atomic number is the number of protons found in the nucleus of an atom and therefore identical to the charge number of the nucleus. It is conventionally represented by the symbol Z. The atomic number uniquely identifies a chemical element...
43 is technetiumTechnetiumTechnetium is the chemical element with atomic number 43 and symbol Tc. It is the lowest atomic number element without any stable isotopes; every form of it is radioactive. Nearly all technetium is produced synthetically and only minute amounts are found in nature...
. It has the lowest atomic number of any element that does not possess stable isotopeStable isotopeStable isotopes are chemical isotopes that may or may not be radioactive, but if radioactive, have half-lives too long to be measured.Only 90 nuclides from the first 40 elements are energetically stable to any kind of decay save proton decay, in theory...
s.
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...
M43, a magnitude 7.0 H II regionH II regionAn H II region is a large, low-density cloud of partially ionized gas in which star formation has recently taken place. The short-lived, blue stars forged in these regions emit copious amounts of ultraviolet light, ionizing the surrounding gas...
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....
of OrionOrion (constellation)Orion, often referred to as The Hunter, is a prominent constellation located on the celestial equator and visible throughout the world. It is one of the most conspicuous, and most recognizable constellations in the night sky...
, a part of the Orion NebulaOrion NebulaThe Orion Nebula is a diffuse nebula situated south of Orion's Belt. It is one of the brightest nebulae, and is visible to the naked eye in the night sky. M42 is located at a distance of and is the closest region of massive star formation to Earth. The M42 nebula is estimated to be 24 light...
, and also sometimes known as de Mairan's Nebula - 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 43NGC 43NGC 43 is a lenticular galaxy in the Andromeda constellation. It has a diameter of approximately 27 kiloparsecs and was discovered by John Herschel in 1827....
, a barred spiral galaxyBarred spiral galaxyA barred spiral galaxy is a spiral galaxy with a central bar-shaped structure composed of stars. Bars are found in approximately two-thirds of all spiral galaxies...
in the constellation AndromedaAndromeda (constellation)Andromeda is a constellation in the northern sky. It is named after Andromeda, the princess in the Greek legend of Perseus who was chained to a rock to be eaten by the sea monster Cetus... - The SarosSaros 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 April 29, 1513 BC and ended on June 5, 233 BC . The duration of Saros series 43 was 1280.1 years, and it contained 72 solar eclipses. - The Saros 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 August 27, 1482 BC and ended on March 15, 70. The duration of Saros series 43 was 1550.5 years, and it contained 87 lunar eclipses.
In sports
In the US's National Football LeagueNational Football League
The National Football League is the highest level of professional American football in the United States, and is considered the top professional American football league in the world. It was formed by eleven teams in 1920 as the American Professional Football Association, with the league changing...
, the number 43 was worn by Jim Norton of the Tennessee Titans
Tennessee Titans
The Tennessee Titans are a professional American football team based in Nashville, Tennessee, United States. They are members of the South Division of the American Football Conference in the National Football League . Previously known as the Houston Oilers, the team began play in 1960 as a charter...
(formerly the Houston Oilers). The Titans have retired the number.
In auto racing:
- The number for Richard PettyRichard PettyRichard Lee Petty is a former NASCAR driver who raced in the Strictly Stock/Grand National Era and the NASCAR Winston Cup Series...
's race car when he won his 7 Winston Cup Championships. He also won 200 races in his career, 95% of them in the famous #43. - The maximum number of cars participating in a NASCARNASCARThe National Association for Stock Car Auto Racing is a family-owned and -operated business venture that sanctions and governs multiple auto racing sports events. It was founded by Bill France Sr. in 1947–48. As of 2009, the CEO for the company is Brian France, grandson of the late Bill France Sr...
race in the Cup Series or Nationwide Series. - Legendary driver Dale Earnhardt, Sr. died in a last-lap crashDeath of Dale EarnhardtDale Earnhardt was an American race car driver who gained fame driving stock cars for NASCAR and winning seven championships. He was involved in a car accident during the last lap of the Daytona 500 at Daytona International Speedway on February 18, 2001. He was taken to Halifax Medical Center,...
during the 43rd running of the Daytona 5002001 Daytona 500The 2001 Daytona 500, the 43rd running of the event, was held on February 18, 2001 at Daytona International Speedway in Daytona Beach, Florida over 200 laps on the 2.5 mile asphalt tri-oval. Bill Elliott won the pole. The race will be forever remembered for the final lap...
in 2001. - The number is also used by Ken BlockKen BlockKen Block is a songwriter, guitarist and lead singer of the rock band Sister Hazel. Ken plays acoustic guitar. He also helped produce the band's first CD in 1994. His debut solo effort Drift was released on December 9, 2008....
on his rally cars.
In basketball:
- Brad DaughertyBrad DaughertyBrad Daugherty may refer to:*Brad Daugherty , former NBA player, currently a television sportscaster*Brad Daugherty , poker player who was the first man to win a first prize of $1 million in the main event of the World Series of Poker...
, ESPN NASCAR analyst and retired American basketball player. His #43 jersey, a number he picked as a tribute to NASCAR legend Richard Petty (whom Daugherty lists as his favorite sportsman), was retired by the Cavaliers on March 1, 1997.
In Ice Hockey:
- Patrice BriseboisPatrice BriseboisPatrice Brisebois is a retired Canadian professional ice hockey defenceman and currently a racing driver.-NHL playing career:Brisebois was drafted by the Montreal Canadiens in the second round, 30th overall, of the 1989 NHL Entry Draft...
(Montreal Canadiens) from 1991 to 2004 - Jan AlstonJan AlstonJan Alston is a Canadian ice hockey centre currently playing for the HC Lausanne of the National League B....
(ZSC Lions, Zurich, Switzerland) from 2001 to 2010
In baseball:
- The number was worn by Dennis EckersleyDennis EckersleyDennis Lee Eckersley , nicknamed "Eck", is a former American Major League Baseball pitcher. Eckersley had success as a starter, but gained his greatest fame as a closer, becoming the first of only two pitchers in Major League history to have both a 20-win season and a 50-save season in a career .He...
of the Oakland AthleticsOakland AthleticsThe Oakland Athletics are a Major League Baseball team based in Oakland, California. The Athletics are a member of the Western Division of Major League Baseball's American League. From to the present, the Athletics have played in the O.co Coliseum....
(MLB), and has been retired.
Films
In a film by PixarPixar
Pixar 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...
called Cars
Cars (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 champion racecar in the film, Strip "The King" Wheathers is racecar number 43 based on Richard Petty's car. Petty
Richard Petty
Richard Lee Petty is a former NASCAR driver who raced in the Strictly Stock/Grand National Era and the NASCAR Winston Cup Series...
also provides the voice of "The King" in the film.
In other fields
Forty-three is:- The designation of Interstate 43Interstate 43Interstate 43 is a intrastate Interstate Highway located entirely within the U.S. state of Wisconsin, connecting Interstate 39 and Interstate 90 in Beloit with Milwaukee and U.S. Route 41 and U.S. Route 141 in Green Bay. I-43 is the 5th longest intrastate Interstate Highway of the Interstate...
, a freeway in Wisconsin. - +43, the code for direct dial international phone calls to Austria.
- "43", a song by Level 42 on the album Level 42
- "43," a song by Mushroomhead on the album "MushroomheadMushroomhead (album)Mushroomhead is the first album from industrial metal band Mushroomhead. Released independently in Cleveland, Ohio in 1995. Some songs have been remastered on XX. Many of the songs contain samples from movies. The album was repressed in 2002 along with Superbuick and M3 with alternate artwork,...
" - George W. BushGeorge W. BushGeorge Walker Bush is an American politician who served as the 43rd President of the United States, from 2001 to 2009. Before that, he was the 46th Governor of Texas, having served from 1995 to 2000....
, 43rd president of the United States - U.S.S. Coral Sea CV-43 (Aircraft Carrier)
- The name of a popular Spanish liqueurLiqueurA liqueur is an alcoholic beverage that has been flavored with fruit, herbs, nuts, spices, flowers, or cream and bottled with added sugar. Liqueurs are typically quite sweet; they are usually not aged for long but may have resting periods during their production to allow flavors to marry.The...
, Cuarenta y tres which is distilled with 43 different herbs and spices