23 (number)

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23 (twenty-three) is the natural number following 22 and preceding 24. It is the smallest natural number with an eleven letter name in English.

Template:Numbers 20s
Cardinal 23
twenty-three
Ordinal 23rd
twenty-third
Factorizationprime
Roman numeralXXIII
Binary10111
Octal27
Hexadecimal17

In mathematics

Twenty-three is the ninth prime number, the smallest odd prime that is not a twin prime. Twenty-three is also the fifth factorial prime, the second Woodall prime, and the second Smarandache-Wellin prime. It is an Eisenstein prime with no imaginary part and real part of the form  .

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).

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.

A highly cototient number, 23 is the solution to x - φ(x) for the integers 95, 119, 143, 529.

The codewords in the perfect (non-extended) binary Golay code are of size 23.

In binary, 23 is the smallest prime having a composite sum of digits.

In science

Astronomy

In sports

Occult significance

See also: 23 (numerology).

In other fields

Twenty-three is:

  • In early 20th century United States slang, it meant to leave a place. (From the phrase 23 skiddoo ; the origins of the phrase are largely unknown).
  • Sydney Carton is the 23rd person executed at the end of A Tale of Two Cities, by Charles Dickens.
  • 23, a German movie about Karl Koch.
  • Viginti Tres (23 in Latin) is a song on the album 10,000 Days by Tool
  • A telegraphers' code meaning "line break".
  • When mathematician John Forbes Nash suffered from schizophrenic delusions, he said that Life Magazine had run a cover story of him disguised as Pope John XXIII as his name was John and his favorite prime number was 23. Nash published a total of 23 scientific articles.
  • The actor Danny Trejo's name in "Con Air" was Johnny 23.
  • The number of people (16 females, 7 males) Neo was to select in order to refound Zion in The Matrix Reloaded
  • A song of the band Jimmy Eat World on their album Futures.
  • ASCII character number 23 is ETB, end transmission block.
  • The smallest group of people where there is more than a 50% chance that 2 people will share the same birth day (day and month, not year).
  • One of the "Lost Numbers" on the television show, Lost, along with 4, 8, 15, 16 and 42. According to producers of the show, 23 is the most important of these six numbers.
  • Purple 23 is the parking space where Kramer hides his air conditioner in the Seinfeld season 3 episode "The Parking Garage"
  • Psalm 23 of the Bible is possibly the most quoted and best known psalm.
  • The standard TCP/IP port number for Telnet connections.
  • The number of crosses on the hill at the end of the Monty Python film "The Life of Brian" is 23.
  • Princess Leia is being held in detention block AA-23 in the Star Wars film "A New Hope".
  • When Zoidberg upsets the shelf containing the various alternative universes in the Futurama episode "The Farnsworth Parabox", the only visible universe number is 23.
  • In William Shakespeare's Julius Caesar, Caesar was stabbed a total 23 times.
  • Number 23 is recognized as a number of Freetekno culture - often used on decorations, party names, etc.
  • In the movie Serendipity during the beginning of the movie, the 23rd floor is the floor both John and Sarah pick before "the devil" separates them.
  • 2005 December 23 - Azerbaijan Airlines Flight 217 from Baku, Azerbaijan to Aktau, Kazakhstan crashed shortly after takeoff killing 23 people.

Miscellaneous

Jim Carrey, in People Magazine, April 17, 2006, page 142, is quoted as saying: "I've [been fixated on] the number 23 for years. It's everywhere. Each parent passes on 23 chromosomes; Earth's axis is at a 23° angle. Psalm 23 is my mantra..."