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23 in mathematics

 

Twenty-three is the ninth prime number, the smallest odd prime which is not a twin prime. Twenty-three is also the fifth factorial prime, the second Woodall prime. It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. In base 10, it is the second Smarandache-Wellin prime, as it is the concatenation of the base 10 representations of the first two primes (2 and 3) and is itself also prime.

 

The fifth Sophie Germain prime and the fourth safe prime, 23 is the next to last member of the first Cunningham chain of the first kind to have five terms (2, 5, 11, 23, 47). Since 14! + 1 is a multiple of 23 but 23 is not one more than a multiple 14, 23 is a Pillai prime. 23 is the smallest odd prime to be a highly cototient number, as the solution to x - φ(x) for the integers 95, 119, 143, 529.

 

In the list of Fortunate numbers, 23 occurs twice, since adding 23 to either the fifth or eighth primorial gives a prime number (namely 2333 and 9699713).

 

23 also has the distinction of being one of two integers that cannot be expressed as the sum of fewer than 9 cubes of integers (the other is 239). See Waring's problem.

 

23 is a Wedderburn-Etherington number and the sixth happy number. The codewords in the perfect (non-extended) binary Golay code are of size 23.

 

23 is the first prime P for which unique factorization of cyclotomic integers based on the P'th root of unity breaks down.

 

According to the birthday paradox, in a group of 23 (or more) randomly chosen people, the probability is more than 50% that some pair of them will have the same birthday.

 

There were 23 problems on David Hilbert's famous list of unsolved mathematical problems, presented to the International Congress of Mathematicians in Paris in 1900.

 

23! is 23 digits long in base 10. There are only three other numbers that have this property: 1, 22, and 24.

 

[edit] In language

 

* There are 23 letters in the Latin alphabet

* The European Union has 23 official languages.

 

[edit] In science

 

* The atomic number of vanadium and the approximate atomic mass (in u) of sodium.

* Human sex cells have 23 chromosomes. Other human cells have 23 pairs of chromosomes.

 

[edit] In technology

 

23 is the TCP/IP port used for telnet and is the default for the telnet command

 

[edit] In religion

 

* Psalm 23 (Psalm is the 23rd book in the bible), also known as the Shepherd Psalm, is possibly the most quoted and best known psalm.

* In the religion of Discordianism, 23 is considered a holy number.

* In Islam, the Qur'an was revealed in a total of 23 years to Muhammad.[1][2]

* In Abhidharma, the number of anomalous generic types (of a possible 72) - e.g., events are considered sui generis because they are not reducible to either mind or matter - is 23.

* The sacred number (along with 5) of Eris, goddess of discord, according to the Principia Discordia.

 

[edit] In sports

 

* The squad number (or jersey number) of various athletes:

 

Michael Jordan, a basketball player for the NBA, wore the number 23 on his jersey.

Michael Jordan, a basketball player for the NBA, wore the number 23 on his jersey.

 

*

o Michael Jordan wore number 23, with the exception of a short period of time, when he played professional basketball with the Chicago Bulls and, later, the Washington Wizards. Many athletes wear the number 23 as a tribute to Jordan. Two examples are Cleveland Cavaliers forward Lebron James[3] and David Beckham[4] whilst playing at Real Madrid and Los Angeles Galaxy.

o Don Mattingly who played for the New York Yankees from 1982 to 1995 started wearing number 23 in April 1984, months before Michael Jordan wore it for the Bulls. The Yankees retired Mattingly's number in August 31, 1997.

o Manchester City F.C. have not assigned the squad number 23 to any player since 2003. This is due to the fact that Marc-Vivien Foé, the player who collapsed and died while playing for Cameroon on June 26, 2003, had held this squad number at Manchester City.

o 23 is the highest number in Football World Cup squads.

 

[edit] Song titles

 

Several songs use "twenty three" as their titles, including:

 

* Tristan Prettyman's debut album.

* The eighth song on Yellowcard's album Ocean Avenue is titled "Twenty Three."

* The eleventh song from Tool's fourth full-length studio album "10,000 Days". The song's title is actually "Viginti Tres," which is Latin for twenty three.

* The seventh album by Blonde Redhead, released in the United States by 4AD Records on April 10, 2007. Also the first song and single off the album.

* The fourth song from Shpongle's second album, "Tales of the Inexpressible" is often called "Room 23," but the character following the two is actually Om, the sacred Hindu syllable.

* The twelfth song from Project 86's album, "Drawing Black Lines," is titled "Twenty-Three."

* The first song from the bonus disc on the limited edition version of Welle:Erdball's album, "Die Wunderwelt der Technik," is titled "23... (C=64)."

* The last song on the Jimmy Eat World album "Futures" is called "23"

* The second song on the Four Tet album Pause is called "Twenty Three".

* On God Lives Underwater's breakthrough album, Empty, the 7th song on the record is titled "23". David Reilly, the late singer/songwriter for that band was known to have a deep-seated interest in the number 23.

* 65 Days of Static have a song called 23Kid on there album One Time For all.

* "eShip sum" is a CD-title of composer Alfred Harth.In Korean "eship sum" means 23.

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