23 (number)

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:This article is about the number 23. For the year, see 23. For the movie, see 23 (film). For other uses, see 23 (disambiguation)
23 203

23 (twenty-three) is the natural number following 22 and preceding 24.

Cardinal 23
twenty-three
Ordinal 23rd
twenty-third
Factorization prime
Divisors 1, 23
Roman numeral XXIII
Binary 10111
Octal 27
Hexadecimal 17

Contents

[edit] 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 <math>3n - 1</math>. 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 <math>P</math> for which unique factorization of cyclotomic integers based on the <math>P</math>'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

[edit] In science

[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 Douay Catholic bible), also known as the Shepherd Psalm, is possibly the most quoted and best known psalm.
  • 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.
  • Principia Discordia, the sacred text of Discordianism, holds that 23 (along with 5) is the sacred number of Eris, goddess of discord.

[edit] In sports

Image:Jordan by Lipofsky 16577.jpg
Michael Jordan, a basketball player for the NBA, wore the number 23 on his jersey.

[edit] In music

Several songs and albums use the number 23 as their titles, includingTristan Prettyman's debut album, the eleventh song from Tool's fourth full-length studio album 10,000 Days, "Viginti Tres" (Latin for twenty-three).

[edit] In visual media

[edit] In other fields

23% of the American Homeless are Vietnam Veterans

[edit] References

  1. ^ Living Religions: An Encyclopaedia of the World's Faiths, Mary Pat Fisher, 1997, page 338, I.B. Tauris Publishers,
  2. ^ Qur'an, Chapter 17, Verse 106
  3. ^ nba.com, LeBron James: Player Info Page, accessed April 27, 2007.

[edit] External links

ca:Vint-i-tres cv:23 (хисеп) co:23 (numeru) da:23 (tal) de:Dreiundzwanzig es:Veintitrés eo:Dudek tri eu:Hogeita hiru fr:23 (nombre) ko:23 id:23 (angka) ia:23 (numero) it:23 (numero) he:23 (מספר) ht:23 (nonm) la:Viginti tres lt:23 (skaičius) hu:23 (szám) nl:23 (getal) ja:23 nap:Vintitrè no:23 (tall) nn:Talet 23 pl:23 (liczba) pt:Vinte e três ru:23 (число) sl:23 (število) fi:23 (luku) sv:23 (tal) th:23 vi:23 (số) tr:23 (sayı) vls:23 (getal) yi:23 (נומער) zh-yue:23 zh:23

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