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 20 3

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, and the second Smarandache-Wellin prime. It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1.

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.

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.

[edit] In science


[edit] Astronomy

[edit] In religion

  • Psalm 23, 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 Quran was revealed in a total of 23 years to Muhammad.[citation needed]

[edit] In numerology

Main article: 23 (numerology)

[edit] In sports

[edit] In music

23 is composer Alban Berg's self-professed 'number of fate': for example, his 'Lyric Suite' for String Quartet includes a variety of references to 23, including nonstandard metronome markings that are all multiples of 23. Each movement is some multiple of 23 measures long, and there are significant structural elements at measures numbered in multiples of 23.

[edit] Song titles

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

[edit] In visual media

gayness

[edit] Historical years

[edit] References

[edit] External links