29 (number)
Encyclopedia
29 is the natural number
following 28
and preceding 30
.
, 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
. 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 biprime
s 115 and 187
and is the base of the 29-aliquot tree.
29 is a Markov number
, appearing in the solutions to
: {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
.
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 28
28 (number)
28 is the natural number following 27 and preceding 29.-In mathematics:It is a composite number, its proper divisors being 1, 2, 4, 7, and 14....
and preceding 30
30 (number)
30 is the natural number following 29 and preceding 31.-In mathematics:30 is the sum of the first four squares, which makes it a square pyramidal number.It is a primorial and is the smallest Giuga number....
.
In mathematics
It is the tenth 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...
, and also the fourth primorial prime
Primorial prime
In mathematics, primorial primes are prime numbers of the form pn# ± 1, where:The first few primorial primes are, the largest known primorial prime is 843301# - 1 with 365,851 digits, found in 2010 by the PrimeGrid project....
. It forms 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...
pair with thirty-one
31 (number)
31 is the natural number following 30 and preceding 32.- In mathematics :Thirty-one is the third Mersenne prime as well as the fourth primorial prime, and together with twenty-nine, another primorial prime, it comprises a twin prime. As a Mersenne prime, 31 is related to the perfect number 496,...
, which is also a primorial prime. Twenty-nine is also the sixth Sophie Germain prime
Sophie Germain prime
In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...
. 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
Eisenstein prime
In mathematics, an Eisenstein prime is an Eisenstein integerz = a + b\,\omega\qquadthat is irreducible in the ring-theoretic sense: its only Eisenstein divisors are the units , a + bω itself and its associates.The associates and the complex conjugate...
with no imaginary part and real part of the form
. 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 primeSupersingular prime
In mathematics, a supersingular prime is a prime number satisfying one of the following concepts:*Supersingular prime , in algebraic number 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 aliquot sum
Divisor function
In mathematics, and specifically in number theory, a divisor function is an arithmetical function related to the divisors of an integer. When referred to as the divisor function, it counts the number of divisors of an integer. It appears in a number of remarkable identities, including relationships...
of the odd discrete biprime
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, ... ....
s 115 and 187
187 (number)
187 is the natural number following 186 and preceding 188.-In mathematics:* 187 is an odd number* 187 is a composite number* 187 is a deficient number, as 29 is less than 187* 187 is a self number* 187 is a square-free number...
and is the base of the 29-aliquot tree.
29 is a Markov number
Markov number
A Markov number or Markoff number is a positive integer x, y or z that is part of a solution to the Markov Diophantine equationx^2 + y^2 + z^2 = 3xyz,\,studied by .The first few Markov numbers are...
, appearing in the solutions to
: {2, 5, 29}, {2, 29, 169}, {5, 29, 433}, {29, 169, 14701}, etc.29 is a Perrin number
Perrin number
In mathematics, the Perrin numbers are defined by the recurrence relationandThe sequence of Perrin numbers starts withThe number of different maximal independent sets in an n-vertex cycle graph is counted by the nth Perrin number.-History:...
, 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
Størmer number
In mathematics, a Størmer number or arc-cotangent irreducible number, named after Carl Størmer, is a positive integer n for which the greatest prime factor of n2 + 1 meets or exceeds 2n. The first few Størmer numbers are 1, 2, 4, 5, 6, 9, 10, 11, 12, 14, 15, 16, 19, 20, etc....
.
In religion
- The BishnoisBishnoisThe Bishnois are known as the conservationists to whom the preservation of animal and vegetable life is a religion and has been so from the early 15th century. Their spiritual mentor, Guru Jambheshwar was a wise ecologist. He formulated Bis + noi = Bisnoi tenets from which the community derives...
community follows 29 principles. Guru JambheshwarGuru JambheshwarGuru Jambheshwar, also known as Jambhoji, was the founder of the Bishnoi Religion. He preached to worship God Almighty and stopped the worship of any thing that has taken birth and which can be seen around . He gave the message that God is a divine power that is everywhere...
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.
In 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...
M29Messier 29Messier 29 is an open cluster in the Cygnus constellation. It was discovered by Charles Messier in 1764, and can be seen from Earth by using binoculars....
, a magnitudeApparent magnitudeThe apparent magnitude of a celestial body is a measure of its brightness as seen by an observer on Earth, adjusted to the value it would have in the absence of the atmosphere...
9.0 open clusterOpen clusterAn open cluster is a group of up to a few thousand stars that were formed from the same giant molecular cloud and have roughly the same age. More than 1,100 open clusters have been discovered within the Milky Way Galaxy, and many more are thought to exist...
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....
CygnusCygnus (constellation)Cygnus is a northern constellation lying on the plane of the Milky Way. Its name is the Latinized Hellenic word for swan. One of the most recognizable constellations of the northern summer and autumn, it features a prominent asterism known as the Northern Cross...
- 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 29, a spiral galaxySpiral galaxyA spiral galaxy is a certain kind of galaxy originally described by Edwin Hubble in his 1936 work The Realm of the Nebulae and, as such, forms part of the Hubble sequence. Spiral galaxies consist of a flat, rotating disk containing stars, gas and dust, and a central concentration of stars known as...
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 lunar month is very close to twenty-nine days.
- SaturnSaturnSaturn is the sixth planet from the Sun and the second largest planet in the Solar System, after Jupiter. Saturn is named after the Roman god Saturn, equated to the Greek Cronus , the Babylonian Ninurta and the Hindu Shani. Saturn's astronomical symbol represents the Roman god's sickle.Saturn,...
requires over 29 years to orbit the Sun
In other fields
Twenty-nine is:- The number of days FebruaryFebruaryFebruary is the second month of the year in the Julian and Gregorian calendars. It is the shortest month and the only month with fewer than 30 days. The month has 28 days in common years and 29 days in leap years...
has in leap yearLeap yearA leap year is a year containing one extra day in order to keep the calendar year synchronized with the astronomical or seasonal year...
s. - The number of letters in the TurkishTurkish alphabetThe Turkish alphabet is a Latin alphabet used for writing the Turkish language, consisting of 29 letters, seven of which have been modified from their Latin originals for the phonetic requirements of the language. This alphabet represents modern Turkish pronunciation with a high degree of accuracy...
, FinnishFinnish alphabetThe Finnish alphabet is based on the Latin script, and especially the Swedish alphabet. Officially it comprises 28 letters:A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, X, Y, Z, Å, Ä, Ö...
, SwedishSwedish alphabetModern Swedish is written with a 29-letter Latin alphabet:Prior to the 13th edition of Svenska Akademiens ordlista in 2006, the letters and were collated together....
, FaroeseFaroese alphabetThe Faroese alphabet consists of 29 letters derived from the Latin alphabet:- See also :* Alphabets derived from the Latin* Icelandic alphabet* Faroese language* Faroese orthography* Danish and Norwegian alphabet...
, Danish and NorwegianDanish and Norwegian alphabetThe Danish and Norwegian alphabet is based upon the Latin alphabet and has consisted of the following 29 letters since 1917 and 1955 , although Danish did not officially recognize the W as a separate letter until 1980....
alphabetAlphabetAn alphabet is a standard set of letters—basic written symbols or graphemes—each of which represents a phoneme in a spoken language, either as it exists now or as it was in the past. There are other systems, such as logographies, in which each character represents a word, morpheme, or semantic...
s. - The designation of Interstate 29Interstate 29Interstate 29 is an Interstate Highway in the Midwestern United States. I-29 runs from Kansas City, Missouri, at a junction with Interstate 35 and Interstate 70 to the Canadian border near Pembina, North Dakota, where it connects with Manitoba Highway 75 via the short Manitoba Highway 29.-Route...
, a U. S. freeway that runs from MissouriMissouriMissouri is a US state located in the Midwestern United States, bordered by Iowa, Illinois, Kentucky, Tennessee, Arkansas, Oklahoma, Kansas and Nebraska. With a 2010 population of 5,988,927, Missouri is the 18th most populous state in the nation and the fifth most populous in the Midwest. It...
to North DakotaNorth DakotaNorth Dakota is a state located in the Midwestern region of the United States of America, along the Canadian border. The state is bordered by Canada to the north, Minnesota to the east, South Dakota to the south and Montana to the west. North Dakota is the 19th-largest state by area in the U.S....
. - In the name of the town Twentynine Palms, CaliforniaTwentynine Palms, CaliforniaTwentynine Palms is a city in San Bernardino County, California, United States. It was previously called Twenty-Nine Palms...
, also the name of the adjoining Marine Corps Air Ground Combat Center Twentynine PalmsMarine Corps Air Ground Combat Center Twentynine PalmsThe Marine Corps Air Ground Combat Center , also known as 29 Palms, is a United States Marine Corps base. It was a census-designated place officially known as Twentynine Palms Base located adjacent to the city of Twentynine Palms in southern San Bernardino County, California. As of the 2000...
, affectionately referred to by Marines as "Twentynine Stumps". - The number of suraSuraA sura is a division of the Qur'an, often referred to as a chapter. The term chapter is sometimes avoided, as the suras are of unequal length; the shortest sura has only three ayat while the longest contains 286 ayat...
s in the Qur'anQur'anThe Quran , also transliterated Qur'an, Koran, Alcoran, Qur’ān, Coran, Kuran, and al-Qur’ān, is the central religious text of Islam, which Muslims consider the verbatim word of God . It is regarded widely as the finest piece of literature in the Arabic language...
that begin with muqatta'atMuqatta'atMuqatta'at are unique letter combinations that begin certain suras of the Qur'an. Muqatta'at literally means abbreviated or shortened. Their meanings remain unclear and are considered by most Muslims to be divine secrets.... - The highest possible score in a hand of CribbageCribbageCribbage, or crib, is a card game traditionally for two players, but commonly played with three, four or more, that involves playing and grouping cards in combinations which gain points...
. - The highest possible score in a hand of KhanhooKhanhooKhanhoo is a non-partnership Chinese card game of draw-and-discard structure adapted to the western taste by the British Sinologist and Consul-General in China and Korea in the mid 1890's, Sir William Henry Wilkinson...
. - An album by Ryan AdamsRyan AdamsDavid Ryan Adams is an American alt-country/rock singer-songwriter, from Jacksonville, North Carolina. Initially part of the group Whiskeytown, Adams left the band and released his first solo album Heartbreaker in 2000...
. - The track the Chattanooga Choo ChooChattanooga Choo Choo"Chattanooga Choo Choo" is a song by Harry Warren and Mack Gordon . It was recorded in a big-band/swing manner by Glenn Miller and his orchestra and featured in the 1941 movie Sun Valley Serenade, which starred Sonja Henie, John Payne, Glenn Miller and his orchestra, The Modernaires, Milton Berle...
leaves in the Glenn MillerGlenn MillerAlton Glenn Miller was an American jazz musician , arranger, composer, and bandleader in the swing era. He was one of the best-selling recording artists from 1939 to 1943, leading one of the best known "Big Bands"...
song. - 29th Regiment of Foot29th Regiment of FootThe 29th Regiment of Foot was, from 1694 to 1881, an infantry regiment of the British Army. It now forms part of the Mercian Regiment.-Formation:...
, a former regiment in the British ArmyBritish ArmyThe British Army is the land warfare branch of Her Majesty's Armed Forces in the United Kingdom. It came into being with the unification of the Kingdom of England and Scotland into the Kingdom of Great Britain in 1707. The new British Army incorporated Regiments that had already existed in England...
. - The retired jersey number of Rod CarewRod CarewRodney Cline "Rod" Carew is a former Major League Baseball first baseman, second baseman and coach. He played from 1967 to 1985 for the Minnesota Twins and the California Angels and was elected to the All-Star game every season except his last. In 1991, Carew was inducted into the National...
- The Olympiad number of the 2008 Summer Olympics2008 Summer OlympicsThe 2008 Summer Olympics, officially known as the Games of the XXIX Olympiad, was a major international multi-sport event that took place in Beijing, China, from August 8 to August 24, 2008. A total of 11,028 athletes from 204 National Olympic Committees competed in 28 sports and 302 events...
- The number of the French department FinistèreFinistèreFinistère is a département of France, in the extreme west of Brittany.-History:The name Finistère derives from the Latin Finis Terræ, meaning end of the earth, and may be compared with Land's End on the opposite side of the English Channel...
- The amount of attributes existing according to The StrokesThe StrokesThe Strokes are an American indie rock band formed in 1999 in New York City. Consisting of Julian Casablancas , Nick Valensi , Albert Hammond, Jr. , Nikolai Fraiture and Fabrizio Moretti ....
in You Only Live OnceYou Only Live Once (song)"You Only Live Once" is the opening track and third single from First Impressions of Earth, the third album from American rock band The Strokes...
. - The retired S.L. Benfica shirt number in memory of Miklos FeherMiklós FehérMiklós "Miki" Fehér was a Hungarian footballer who played as a striker.On 25 January 2004, Fehér died of a cardiac arrest during a match between Vitória de Guimarães and his team Benfica in Guimarães, Portugal....
. - The number of CMS Baseball Star John "Zach" "Jay-Z" England
- The number of Knuts in one Sickle in the fictional currency in the Harry Potter novels
- "$29.00" is a song on the album Blue Valentine by Tom Waits.
External links
- On the number 29 at Wisdom Portal