29 (number)

From HandWiki
Short description: Natural number
← 28 29 30 →
Cardinaltwenty-nine
Ordinal29th
(twenty-ninth)
Factorizationprime
Prime10th
Divisors1, 29
Greek numeralΚΘ´
Roman numeralXXIX
Binary111012
Ternary10023
Quaternary1314
Quinary1045
Senary456
Octal358
Duodecimal2512
Hexadecimal1D16
Vigesimal1920
Base 36T36

29 (twenty-nine) is the natural number following 28 and preceding 30.

Mathematics

  • 29 is the tenth prime number, and the fifth primorial prime.
  • 29 forms a twin prime pair with thirty-one, which is also a primorial prime. Twenty-nine is also the sixth Sophie Germain prime.[1]
  • 29 is the sum of three consecutive squares, 22 + 32 + 42.
  • 29 is a Lucas prime,[2] a Pell prime,[3] and a tetranacci number.[4]
  • 29 is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. 29 is also the 10th supersingular prime.[5]
  • None of the first 29 natural numbers have more than two different prime factors. This is the longest such consecutive sequence.
  • 29 is a Markov number, appearing in the solutions to x2 + y2 + z2 = 3xyz: {2, 5, 29}, {2, 29, 169}, {5, 29, 433}, {29, 169, 14701}, etc.
  • 29 is a Perrin number, preceded in the sequence by 12, 17, 22.[6]
  • 29 is the smallest positive whole number that cannot be made from the numbers {1, 2, 3, 4}, using each exactly once and using only addition, subtraction, multiplication, and division.[7]
  • 29 is the number of pentacubes if reflections are considered distinct.

The 29th dimension is the highest dimension for compact hyperbolic Coxeter polytopes that are bounded by a fundamental polyhedron, and the highest dimension that holds arithmetic discrete groups of reflections with noncompact unbounded fundamental polyhedra.[8]

Religion

  • The Bishnois community follows 29 principles. Guru Jambheshwar had laid down 29 principles to be followed by the sect in 1485 A.D. In Hindi, Bish means 20 and noi means 9; thus, Bishnoi translates as Twenty-niners.
  • The number of suras in the Qur'an that begin with muqatta'at.

Science and astronomy

Language and literature

  • The number of letters in the Turkish,[9] Finnish, Swedish,[10] Danish and Norwegian[11] alphabets
  • The number of Knuts in one Sickle in the fictional currency in the Harry Potter novels

Geography

  • In the name of the town Twentynine Palms, California
  • The number of the French department of Finistère

Military

  • 29th Regiment of Foot, a former regiment in the British Army
  • Marine Corps Air Ground Combat Center Twentynine Palms, affectionately referred to by Marines as "Twentynine Stumps".[12]
  • Boeing B-29, a large bomber

Music and entertainment

  • "$29.00" is a song on the album Blue Valentine by Tom Waits.
  • 29, an album by Ryan Adams.
  • "No. 29", a song about a washed-up high school football star from the album Exit 0 by Steve Earle.
  • The track from which the Chattanooga Choo Choo train departs in the Glenn Miller song.
  • The number of attributes existing according to The Strokes in "You Only Live Once".
  • A track from Bon Iver's album, 22, A Million, all tracks being numerically themed.
  • A 2022 song by American singer-songwriter Demi Lovato.

Sport

  • The 29er sailing skiff is a high-performance two-handed yacht.
  • A 29er is a mountain bike with 29-inch wheels.
  • 29 is the highest possible score in a hand of Cribbage or Khanhoo.
  • The Atlanta Braves set the National League record for most runs scored in a game as they scored 29 times against the Miami Marlins on September 9, 2020.

History

  • The Twenty-nine is often used in New Zealand for the missing miners and contractors believed to have been killed in the Pike River Mine disaster in November 2010.

See also

  • List of highways numbered 29

References

  1. "Sloane's A005384 : Sophie Germain primes". OEIS Foundation. https://oeis.org/A005384. 
  2. "Sloane's A005479 : Prime Lucas numbers". OEIS Foundation. https://oeis.org/A005479. 
  3. "Sloane's A086383 : Primes found among the denominators of the continued fraction rational approximations to sqrt(2)". OEIS Foundation. https://oeis.org/A086383. 
  4. "Sloane's A000078 : Tetranacci numbers". OEIS Foundation. https://oeis.org/A000078. 
  5. "Sloane's A002267 : The 15 supersingular primes". OEIS Foundation. https://oeis.org/A002267. 
  6. "Sloane's A001608 : Perrin sequence". OEIS Foundation. https://oeis.org/A001608. 
  7. "Sloane's A060315". OEIS Foundation. https://oeis.org/A060315. 
  8. Vinberg, E.B. (1981). "Absence of crystallographic groups of reflections in Lobachevskii spaces of large dimension". Functional Analysis and Its Applications (Springer) 15 (2): 128–130. doi:10.1007/BF01082285. https://link.springer.com/article/10.1007/BF01082285. 
  9. Caroline Finkel, Osman's Dream. New York: Basic Books (2006): xv. "The modern Turkish alphabet has 29 letters, of which three vowels and three consonants are unfamiliar to those who do not know the language, and one consonant is pronounced differently from English."
  10. Mäkinen, Panu. "Finnish Grammar - Alphabet". http://users.jyu.fi/~pamakine/kieli/suomi/aanneoppi/aakkoseten.html. 
  11. Anthony Ham, Miles Roddis & Graeme Cornwallis, Norway. New York: Lonely Planet (2005): 413. "The modern Norwegian alphabet has 29 letters: those used in English, plus the vowels æ, ø and å (which are listed at the end of the alphabet)."
  12. Stephen F. Tomajczyk, To Be a U.S. Marine. New York: Zenith Imprint (2004): 155. "Twenty-nine stumps—Slang for Twenty-nine Palms Marine Corps Air-Ground Combat Center, located in California's Mojave Desert."

External links