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19 (number)
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XIX 19 (disambiguation)
September 2025
19 nonadecimal prime 8th 1, 19 Hebrew numeral י"ט Babylonian numeral 𒌋𒐝
19 (nineteen) is the natural number following 18 and preceding 20. It is a prime number.
Mathematics
thumb|19 is a centered triangular number.|150px
19 is the eighth prime number. 19 forms a twin prime pair with 17,A006512 Greater of twin primes. 2022-08-05 a cousin prime pair with 23,A088762 Numbers n such that (2n-1, 2n+3) is a cousin prime pair. 2022-08-05 and a sexy prime pair with 13.A046117 Primes p such that p-6 is also prime. (Upper of a pair of sexy primes.) 2022-08-05 19 is a strictly non-palindromic number in any base, 19 is the maximum number of fourth powers needed to sum up to any natural number (see, Waring's problem).A002804 (Presumed) solution to Waring's problem. 2022-08-05 There are 19 compositions of 8 into distinct parts.A032020 Number of compositions of n such that no two adjacent parts are equal (Carlitz compositions). 2024-07-14
There are 19 nodes in regular hexagon with all diagonals drawn is nineteen.A007569 Number of nodes in regular n-gon with all diagonals drawn. 2023-04-04 The only nontrivial normal magic hexagon is composed of nineteen cells, where every diagonal of consecutive hexagons has sums equal to 38, or twice 19.Trigg, C. W. February 1964 A Unique Magic Hexagon http://www.mathematik.uni-bielefeld.de/~sillke/PUZZLES/magic-hexagon-trigg 2022-07-14 Recreational Mathematics Magazine A hexaflexagon is a strip of nineteen alternating triangular faces that can flex into a regular hexagon, such that any two of six colorings on triangles can be oriented to align on opposite sides of the folded figure.Gardner Martin Martin Gardner January 2012 Hexaflexagons The College Mathematics Journal Taylor & Francis 43 1 2–5 10.4169/college.math.j.43.1.002 10.4169/college.math.j.43.1.002 218544330
can be used to generate the first full, non-normal prime reciprocal magic square in decimal whose rows, columns and diagonals — in a 18 x 18 array — all generate a magic constant of 81 = 92.Andrews William Symes http://djm.cc/library/Magic_Squares_Cubes_Andrews_edited.pdf Magic Squares and Cubes 2nd Open Court Publishing Company 1917 Chicago, IL 176, 177 0114763 1136401 1003.05500
Abstract Algebra
19 is a supersingular prime, a member in the sequence of fifteen such primes that divide the order of the Friendly Giant .A002267 The 15 supersingular primes. 2022-12-11 Additionally, 19 also divides the orders of the Janko groups and .Ronan Mark Mark Ronan Symmetry and the Monster: One of the Greatest Quests of Mathematics Oxford University Press New York 2006 244–246 978-0-19-280722-9 180766312 10.1007/s00283-008-9007-9 free 2215662 1113.00002
19 is a Heegner number.A003173 heegner numbers
Science
thumb|The James Webb Space Telescope features a design of 19 hexagons.|140px
The James Webb Space Telescope's optical elements are in an array of 19 hexagons, wherein 18 segmented primary mirrors focus light into a centered secondary mirror situated above the collecting mirrors, that in-turn reflects back onto the telescope's central imagers. It is a shape akin to the order-3 magic hexagon.
The Metonic cycle is almost exactly 19 years long.
Music
Nineteen has been used as an alternative to twelve for a division of the octave into equal parts. This idea goes back to Salinas in the sixteenth century, and is interesting in part because it gives a system of meantone tuning, being close to 1/3 comma meantone. See 19 equal temperament.
Some organs use the 19th harmonic to approximate a minor third.October 2024
Religion
Islam
The number of angels guarding Hell ("Hellfire") ("Saqar") according to the Qur'an: "Over it are nineteen" (74:30),Al-Suyuti Al-Suyuti https://books.google.com/books?id=iDxQEAAAQBAJ Misteri Alam Malaikat 2021 Pustaka al-Kautsar 9789795929512 Muhammad as Said Basyuni Abu Hajir 29–33, 72, 172 id Mishabul Munir Religion / Islam / General 6 February 2022 Yasir Muhammad Reference from: Abu Muhammad Abdullah bin Muslim ibn Qutayba al-Dinawari Ibn Qutaybah https://shamela.ws/book/23790 Uyun al-Akhbar 1994 Dar al-Kutub al-Ilmiyyah Ar 26 August 2024 after which the Qur'an describes this number as being "a trial for those who disbelieve" (74:31), a sign for people of the scripture to be "convinced" (74:31) and that believers "will increase in faith" (74:31) due to it.Surah Al-Muddaththir - 30-31 https://quran.com/en/al-muddaththir/30-31 2025-02-10 Quran.comBlog Quran Talk 2020-09-17 19 Angels or 19 Miracle https://qurantalkblog.com/2020/09/17/19-angels-or-19-miracle/ 2025-02-10 Quran Talk Blog
The Number of Verse and Sura together in the Qur'an which announces Jesus son of Maryam's (Mary's) birth (Qur'an 19:19).Surah Maryam - 19 https://quran.com/en/maryam/19 2025-02-10 Quran.com enSabah Nassir 2024-05-27 Mary, Jesus, and the Number 19 in the Quran https://medium.com/@nsabah19/mary-jesus-and-the-number-19-in-the-quran-63a45963a601 2025-02-10 Medium
Baháʼí Faith
In the Bábí and Baháʼí Faiths, a group of 19 is called a Váhid, a Unity (ar واحد one wāhid). The numerical value of this word in the Abjad numeral system is 19.
The Baháʼí calendar is structured such that a year contains 19 months of 19 days each (along with the intercalary period of Ayyám-i-Há), as well as a 19-year cycle and a 361-year (19x19) supercycle.
The Báb and his disciples formed a group of 19.
There were 19 Apostles of Bahá'u'lláh.
Celtic paganism
19 is a sacred number of the goddess Brigid because it is said to represent the 19-year cycle of the Great Celtic Year and the amount of time it takes the Moon to coincide with the winter solstice.Brigid: Triple Goddess of the Flame (Health, Hearth, & Forge)
Literature
Stephen King's eight-book epic The Dark Tower saga employs the number 19 in books The Dark Tower: The Gunslinger, The Dark Tower V: Wolves of the Calla, The Dark Tower VI: Song of Susannah, The Dark Tower VII: The Dark Tower, and The Wind Through the Keyhole as a mysterious and important number. They refer to the "ka-tet of 19", "Directive Nineteen," many names add up to 19, 19 seems to permeate every aspect of Roland and his traveler's lives. In addition, the number ends up being a powerful key.
Games
Though the maximum score for a cribbage hand is 29, there is no combination of cards that adds up to 19 points. Many cribbage players, therefore, jokingly refer to a zero-point hand as "a 19 hand".
In sports
In golf, the '19th hole' is the clubhouse bar and in match play, if there is a tie after 18 holes, an extra hole(s) is played. In miniature golf, it is an extra hole on which the winner earns an instant prize.
Age 19
In four countries (Algeria, South Korea, United States (Alabama and Nebraska), and Canada), 19 is the age of majority.
In two countries (South Korea and Canada), 19 is the minimum legal drinking age.
In three countries (Algeria, South Korea, and Canada), 19 is the minimum legal smoking age.
The minimum age for the NBA draft is 19 years old.
References
External links
nineteen
Number 19 at the Database of Number Correlations https://web.archive.org/web/20181115112812/https://www.virtuescience.com/19.html 2018-11-15
Prime Curios for the number 19
zero
Category:Integers
Category:Prime numbers