29 (number)

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

Mathematics

It is the tenth prime number, and also the fourth primorial prime. It forms a twin prime pair with thirty-one, which is also a primorial prime. Twenty-nine is also the sixth Sophie Germain prime.^[1] It is also the sum of three consecutive squares, 2² + 3² + 4². It is a Lucas prime,^[2] a Pell prime,^[3] and a tetranacci number.^[4] It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. Since 18! + 1 is a multiple of 29 but 29 is not one more than a multiple 18, 29 is a Pillai prime.^[5] 29 is also the 10th supersingular prime.^[6]

None of the first 29 natural numbers have more than two different prime factors. This is the longest such consecutive sequence.

29 is the aliquot sum of the odd discrete biprimes 115 and 187 and is the base of the 29-aliquot tree.

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.^[7]

Since the greatest prime factor of 29² + 1 = 842 is 421, which is obviously more than 29 twice, 29 is a Størmer number.^[8]

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.^[9]

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

• The atomic number of copper
• Messier object M29, a magnitude 9.0 open cluster in the constellation Cygnus
• The New General Catalogue object NGC 29, a spiral galaxy in the constellation Andromeda
• The lunar month is very close to twenty-nine days.
• Saturn requires over 29 years to orbit the Sun
• The number of days February has in leap years.

Language and literature

• The number of letters in the Turkish,^[10] Finnish, Swedish,^[11] Danish and Norwegian^[12] alphabets.
• The number of Knuts in one Sickle in the fictional currency in the Harry Potter novels

Geography

• The designation of Interstate 29, a U. S. freeway that runs from Missouri to North Dakota.
• In the name of the town Twentynine Palms, California.
• The number of the French department of Finistère.
• India has 29 states.
• IOWA is the 29th State in the US
• The designation of U.S. Route 29, a U.S. highway that runs from Maryland to Florida.

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".^[13]

Music and entertainment

• "$29.00" is a song on the album Blue Valentine by Tom Waits.
• An album by Ryan Adams.
• The track from which the Chattanooga Choo Choo train departs in the Glenn Miller song.
• The amount of attributes existing according to The Strokes in You Only Live Once.

Sport

• The Olympiad number of the 2008 Summer Olympics
• 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 jersey number 29 has been retired by several North American sports teams in honor of past playing greats or other key figures:
  • In Major League Baseball:
    • The Atlanta Braves, for John Smoltz.
    • The California Angels, now the Los Angeles Angels of Anaheim, and the Minnesota Twins, both for Hall of Famer Rod Carew.
  • In the NFL:
    • The Los Angeles Rams, for Hall of Famer Eric Dickerson.
  • In the NHL:
    • The Montreal Canadiens, for Hall of Famer Ken Dryden.
  • No NBA team has retired the number, which is rarely issued.
• The retired S.L. Benfica shirt number in memory of Miklós Fehér.

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.

References

1. ↑ "Sloane's A005384 : Sophie Germain primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. 
2. ↑ "Sloane's A005479 : Prime Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. 
3. ↑ "Sloane's A086383 : Primes found among the denominators of the continued fraction rational approximations to sqrt(2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. 
4. ↑ "Sloane's A000078 : Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. 
5. ↑ "Sloane's A063980 : Pillai primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. 
6. ↑ "Sloane's A002267 : The 15 supersingular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. 
7. ↑ "Sloane's A001608 : Perrin sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. 
8. ↑ "Sloane's A005528 : Størmer numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. 
9. ↑ https://faculty.fuqua.duke.edu/~dm121/Number%20Scavenger%20Hunt%20--%20Solution
10. ↑ 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."
11. ↑
12. ↑ 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 a (which are listed at the end of the alphabet)."
13. ↑ 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."

• Prime Curios! 29 from the Prime Pages

External links

Wikimedia Commons has media related to 29 (number).

• On the number 29 at Wisdom Portal