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{{examplefarm|date=March 2010}}
{{Infobox number
| number =  29
| factorization = [[prime number|prime]]
| prime =
| divisor = 1, 29
}}
'''29''' ('''twenty-nine''') is the [[natural number]] following [[28 (number)|28]] and preceding [[30 (number)|30]].


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==Mathematics==
It is the tenth [[prime number]], and also the fourth [[primorial prime]]. It forms a [[twin prime]] pair with [[31 (number)|thirty-one]], which is also a primorial prime. Twenty-nine is also the sixth [[Sophie Germain prime]]. It is also the sum of three consecutive squares, 2<sup>2</sup> + 3<sup>2</sup> + 4<sup>2</sup>. It is a [[Lucas number#Lucas primes|Lucas prime]], a [[Pell number#Primes and squares|Pell prime]], and a [[Generalizations of Fibonacci numbers#Tetranacci numbers|tetranacci number]]. It is an [[Eisenstein prime]] with no imaginary part and real part of the form <math>3n - 1</math>. Since 18! + 1 is a multiple of 29 but 29 is not one more than a multiple 18, 29 is a [[Pillai prime]]. 29 is also the 10th [[supersingular prime (moonshine theory)|supersingular prime]].
 
None of the first 29 natural numbers have more than two different prime factors. This is the longest such consecutive sequence.
 
29 is the [[divisor function|aliquot sum]] of the odd discrete [[semiprime|biprime]]s 115 and [[187 (number)|187]] and is the base of the 29-aliquot tree.
 
29 is a [[Markov number]], appearing in the solutions to <math>x^2 + y^2 + z^2 = 3xyz</math>: {2, 5, 29}, {2, 29, 169}, {5, 29, 433}, {29, 169, 14701}, etc.
 
29 is a [[Perrin number]], preceded in the sequence by 12, 17, 22.
 
Since the greatest prime factor of 29<sup>2</sup> + 1 = 842 is 421, which is obviously more than 29 twice, 29 is a [[Størmer number]].
 
==Religion==
*The [[Bishnois]] community follows 29 principles. [[Guru Jambheshwar]] had laid down 29 principles to be followed by the sect in 1485 A.D. In Hindi, Bish means 20 and noi means 9; thus, Bishnoi translates as Twenty-niners.
*The number of [[sura]]s in the [[Qur'an]] that begin with [[muqatta'at]]
 
==Science and astronomy==
*The [[atomic number]] of [[copper]]
*[[Messier object]] [[Messier 29|M29]], a [[apparent magnitude|magnitude]] 9.0 [[open cluster]] in the [[constellation]] [[Cygnus (constellation)|Cygnus]]
*The [[New General Catalogue]] [http://www.ngcicproject.org/ object] [[List of NGC objects (1-999)#1–99|NGC 29]], a [[spiral galaxy]] in the constellation [[Andromeda (constellation)|Andromeda]]
<!--*The [[Saros cycle|Saros]] [http://eclipse.gsfc.nasa.gov/SEsaros/SEsaros029.html number] of the [[solar eclipse]] series which began on -1881 March 1 and ended on -583 April 19. The duration of Saros series 29 was 1298.1 years, and it contained 73 solar eclipses.
*The Saros [http://eclipse.gsfc.nasa.gov/LEsaros/LEsaros029.html number] of the [[lunar eclipse]] series which began on -1814 July 21 and ended on -317 January 5. The duration of Saros series 29 was 1496.5 years, and it contained 84 lunar eclipses.-->
*The [[lunar calendar#Length of the lunar month|lunar month]] is very close to twenty-nine days.
*[[Saturn]] requires over 29 years to orbit the Sun
*The number of days [[February]] has in [[leap year]]s.
 
==Language and literature==
*The number of letters in the [[Turkish alphabet|Turkish]],<ref>Caroline Finkel, ''Osman's Dream''. New York: Basic Books (2006): xv. "The modern Turkish alphabet has 29 letters, of which three vowels and three consonants are unfamiliar to those who do not know the language, and one consonant is pronounced differently from English."</ref> [[Finnish alphabet|Finnish]], [[Swedish alphabet|Swedish]],<ref>[http://users.jyu.fi/~pamakine/kieli/suomi/aanneoppi/aakkoseten.html]</ref> [[Danish and Norwegian alphabet|Danish and Norwegian]]<ref>Anthony Ham, Miles Roddis & Graeme Cornwallis, ''Norway''. New York: Lonely Planet (2005): 413. "The modern Norwegian alphabet has 29 letters: those used in English, plus the vowels '''æ''', '''ø''' and '''a''' (which are listed at the end of the alphabet)."</ref> [[alphabet]]s.
*The number of ''Knuts'' in one ''Sickle'' in the fictional [[Money_in_Harry_Potter#Economy|currency in the Harry Potter novels]]
 
==Geography==
*The designation of [[Interstate 29]], a U. S. freeway that runs from [[Missouri]] to [[North Dakota]].
*In the name of the town [[Twentynine Palms, California]]
*The number of the French department of [[Finistère]]
 
==Military==
*[[29th Regiment of Foot]], a former regiment in the [[British Army]].
*[[Marine Corps Air Ground Combat Center Twentynine Palms]], affectionately referred to by Marines as "Twentynine Stumps".<ref>Stephen F. Tomajczyk, ''To Be a U.S. Marine''. New York: Zenith Imprint (2004): 155. "Twenty-nine stumps&mdash;Slang for Twenty-nine Palms Marine Corps Air-Ground Combat Center, located in California's Mojave Desert."</ref>
 
==Music and entertainment==
*"$29.00" is a song on the album Blue Valentine by Tom Waits.
*An [[29 (album)|album]] by [[Ryan Adams]].
*The track from which the ''[[Chattanooga Choo Choo]]'' train departs in the [[Glenn Miller]] song.
*The amount of attributes existing according to [[The Strokes]] in [[You Only Live Once (The Strokes song)|You Only Live Once]].
 
==Sport==
*The Olympiad number of the [[2008 Summer Olympics]]
*The retired [[S.L. Benfica]] shirt number in memory of [[Miklos Feher]].
*The number of CMS Baseball Star John "Zach" "Jay-Z" England
*The highest possible score in a hand of [[Cribbage]] or [[Khanhoo]].
*The [[Number (sports)|jersey number]] 29 has been retired by several [[Major professional sports leagues in the United States and Canada|North American sports]] teams in honor of past playing greats or other key figures:
** In [[Major League Baseball]]:
*** The [[Atlanta Braves]], for [[John Smoltz]].
*** The California Angels, now the [[Los Angeles Angels of Anaheim]], and the [[Minnesota Twins]], both for [[National Baseball Hall of Fame and Museum|Hall of Famer]] [[Rod Carew]].  
** In the [[National Football League|NFL]]:
*** The [[St. Louis Rams]], for [[Pro Football Hall of Fame|Hall of Famer]] [[Eric Dickerson]].
** In the [[National Hockey League|NHL]]:
*** The [[Montreal Canadiens]], for [[Hockey Hall of Fame|Hall of Famer]] [[Ken Dryden]].
** No [[National Basketball Association|NBA]] team has retired the number, which is rarely issued.
* A [[29er (bicycle)|29er]] is a [[mountain bike]] with 29 inch wheels.
 
==History==
*''The Twenty-nine'' is often used in [[New Zealand]] for the missing miners and contractors believed to have been killed in the [[Pike River Mine disaster]] in November 2010.
 
==References==
 
<references/>
* [http://primes.utm.edu/curios/page.php/29.html Prime Curios! 29] from the [[Prime Pages]]
 
==External links==
{{Commons cat|29 (number)}}
*[http://www.wisdomportal.com/Numbers/29.html On the number 29] at Wisdom Portal
 
{{Integers|zero}}
 
{{DEFAULTSORT:29 (Number)}}
[[Category:Integers|2 9]]

Revision as of 23:04, 19 January 2014

Template:Examplefarm Template:Infobox number 29 (twenty-nine) is the natural number following 28 and preceding 30.

Mathematics

It is the tenth prime number, and also the fourth primorial prime. It forms a twin prime pair with thirty-one, which is also a primorial prime. Twenty-nine is also the sixth Sophie Germain prime. It is also the sum of three consecutive squares, 22 + 32 + 42. It is a Lucas prime, a Pell prime, and a tetranacci number. It is an Eisenstein prime with no imaginary part and real part of the form 3n1. Since 18! + 1 is a multiple of 29 but 29 is not one more than a multiple 18, 29 is a Pillai prime. 29 is also the 10th supersingular prime.

None of the first 29 natural numbers have more than two different prime factors. This is the longest such consecutive sequence.

29 is the aliquot sum of the odd discrete biprimes 115 and 187 and is the base of the 29-aliquot tree.

29 is a Markov number, appearing in the solutions to x2+y2+z2=3xyz: {2, 5, 29}, {2, 29, 169}, {5, 29, 433}, {29, 169, 14701}, etc.

29 is a Perrin number, preceded in the sequence by 12, 17, 22.

Since the greatest prime factor of 292 + 1 = 842 is 421, which is obviously more than 29 twice, 29 is a Størmer number.

Religion

  • The Bishnois community follows 29 principles. Guru Jambheshwar had laid down 29 principles to be followed by the sect in 1485 A.D. In Hindi, Bish means 20 and noi means 9; thus, Bishnoi translates as Twenty-niners.
  • The number of suras in the Qur'an that begin with muqatta'at

Science and astronomy

Language and literature

Geography

Military

Music and entertainment

Sport

History

References

  1. Caroline Finkel, Osman's Dream. New York: Basic Books (2006): xv. "The modern Turkish alphabet has 29 letters, of which three vowels and three consonants are unfamiliar to those who do not know the language, and one consonant is pronounced differently from English."
  2. [1]
  3. Anthony Ham, Miles Roddis & Graeme Cornwallis, Norway. New York: Lonely Planet (2005): 413. "The modern Norwegian alphabet has 29 letters: those used in English, plus the vowels æ, ø and a (which are listed at the end of the alphabet)."
  4. Stephen F. Tomajczyk, To Be a U.S. Marine. New York: Zenith Imprint (2004): 155. "Twenty-nine stumps—Slang for Twenty-nine Palms Marine Corps Air-Ground Combat Center, located in California's Mojave Desert."

External links

Template:Commons cat

Template:Integers