10000 (number)

In scientific notation, it is written as 10⁴.
In E notation it is also written as 1 E+4 (or as 1 E4)
It is the square of 100
It is the square root of 100,000,000
A myriagon is a polygon with 10,000 sides.
The classical Greeks used letters of the Greek alphabet to represent Greek numerals: they used a capital letter mu (Μ) to represent 10000, whose name in Greek is myriad.
10⁴⁰⁰⁰⁰ = 10000¹⁰⁰⁰⁰ The value of a myriad to the power of itself, written (by the system of Apollonius of Perga) as a little M directly above a larger M.

In science

In anatomy, each neuron in the human brain is estimated to connect to 10,000 others.
In astronomy,
- asteroid Number: 10000 Myriostos, Provisional Designation: 1951 SY, Discovery Date: September 30, 1951, by A. G. Wilson:List of asteroids (9001-10000)
In climate, Summary of 10,000 Years is one of several pages of the Climate Timeline Tool: Exploring Weather & Climate Change Through the Powers of 10 sponsored by the National Climatic Data Center of the National Oceanic & Atmospheric Administration.^[2]
In computers, NASA built a 10,000-processor Linux computer (it is actually a 10,240-processor) called Columbia^[3]^[4]
In geography,
- Land of 10,000 Lakes is the nickname for the state of Minnesota.
- Land of 10,000 Trails or 10000trails.com was originally created in 1999 by the TN/KY Lakes Area Coalition. This organization is made up of individuals in West Tennessee and West Kentucky, who have an interest in seeing tourism grow by developing trails throughout their region.
- Ten Thousand Islands National Wildlife Refuge is situated in the lower end of the Fakahatchee and Picayune Strands of Big Cypress Swamp and west of Everglades National Park in Florida.
- Valley of Ten Thousand Smokes in Alaska
- Although there is no ZIP Code 10000 in the US, if there were, it would be in New York City, as ZIP codes 10001-11694 are.
In geology, a list of Largest Volcanic Eruptions in the Last 10,000 Years
In physics,
- Myria- (and myrio-^[5]^[6]^[7]) is an obsolete metric prefix that denoted a factor of 10⁺⁴, ten thousand, or 10,000.
- 10,000 hertz, 10 kilohertz, or 10 kHz of the radio frequency spectrum falls in the very low frequency or VLF band and has a wavelength of 30 kilometres.
- In orders of magnitude (speed), the speed of a fast neutron is 10,000 km/s
- In orders of magnitude (volume), the volume of 10,000 cubic kilometres or 10,000 km³ equals 1 × 10¹³ m³. Lake Superior contains 12,232 cubic kilometres (km³) or 2,935 cubic miles of water.
In scientific units,
- 10,000 square metres is one hectare
In zoology, there are approximately 10,000 species of birds.

In time

10,000 BC, 10,000 BCE, or 10th millennium BC
10,000-year clock or the Clock of the Long Now is a mechanical clock designed to keep time for 10,000 years.

10,000 days can be expressed in these alternative units:

864,000,000 seconds
14,400,000 minutes
240,000 hours
1428 weeks (rounded down)

In other fields

In art,
- Xenophon, on his Retreat with the Ten Thousand, first seeing the Sea, painting by Benjamin Haydon
In currency,
- the new 10,000 Iraqi dinar banknote has Abu Ali Hasan Ibn al-Haitham (known as Alhazen to medieval scholars in the West) on the front and Hadba Minaret on the back. The old bill had a picture of Saddam Hussein and Samarra: Spiral Minaret- Al-Mawiya
- the Japanese 10,000 yen banknote has a portrait of Fukuzawa Yukichi
- the U.S. Ten Thousand Dollar Note has a picture of Salmon P. Chase.
In distances,
- 10 km, 10,000 m, or 1 E+4 m is equal to:
  - 1 Scandinavian mil
  - about 6.2137 English miles
  - side of square with area 100 km²
  - radius of a circle with area 100 $π$ km² ≈ 314.159 km²
- 10 English miles is exactly 1,609,344 mm
In films,
- 10,000 B.C. (2008) Overview from IMDb
- 10,000 Black Men Named George (2002, TV) Overview from IMDb
- The Phantom from 10,000 Leagues (1956) Overview from IMDb
- In Pixar's film Up The main character, Carl Fredrickson attaches 10,000 helium toy balloons to his house.
- Vietnam: The Ten Thousand Day War (1980, mini) Overview from IMDb
In finance, on March 29, 1999, the Dow Jones Industrial Average closed at 10,006.78 which was the first time the index closed above the 10,000 mark.
In futurology, Stewart Brand in Visions of the Future: The 10,000-Year Library proposes a museum built around a 10,000 year clock as an idea for assuring that vital information survives future crashes of civilizations.
In games,
- each of the nine Mahjong character suit tiles (1 to 9) represents ten thousand (wan) coins, or one hundred strings of one hundred coins.
- Ten Thousand Year Ko is one of the rules of ko in the board game of Go
- Ten Thousand is one name of a dice game that is also called farkle.
In game shows, The $10,000 Pyramid ran on television from 1973 to 1974
In history,
- Army of 10,000 Sixty Day Troops, 1862–1863. American Civil War
- The Army of the Ten Thousand were a group of Ancient Greek mercenaries who marched against Artaxerxes II of Persia.
- The Goddess can appear as the Lady of the Ten Thousand Names, as did Isis who was called Isis of Ten Thousand Names
- the Persian Immortals were also called the Ten Thousand or 10,000 Immortals, so named because their number of 10,000 was immediately re-established after every loss.
- The 10,000 Day War: Vietnam by Michael MacLear ISBN 0-312-79094-5 also alternate titles The ten thousand day war: Vietnam, 1945–1975 (10,000 days is 27.4 years)
- Tomb of Ten Thousand Soldiers – defeat of the Tang dynasty army of China in the Nanzhao kingdom in 751
- In Islamic history, 10000 is the number of besieging forces led by Prophet Muhammad's adversary, Abu Sufyan, during the Battle of the Trench
- 10000 is the number of Prophet Muhammad's soldiers during the conquest of Mecca
In language,
- the Chinese, Japanese, Korean, and Vietnamese phrase live for ten thousand years was used to bless emperors in East Asia.
- the words in the Interlingua–English Dictionary are all drawn from 10000 roots.
- Μύριοι is an Ancient Greek name for 10.000 taken into the modern European languages as 'myriad' (see above). Hebrew, Chinese, Japanese and Korean have words with the same meaning.
In literature,
- Man'yōshū (万葉集 Man'yōshū, Collection of Ten Thousand Leaves) is the oldest existing, and most highly revered, collection of Japanese poetry
- Ten Thousand a Year 1839 by Samuel Warren
- Ten Thousand a Year 1883?. A drama, in three acts. Adapted from the celebrated novel of the same name, by the author of the Diary of a Physician, and arranged for the stage by Richard Brinsley Peake
- Anabasis, by the Greek writer Xenophon (431–360 B.C.), about the Army of the Ten Thousand – Greek mercenaries taking part in the expedition of Cyrus the Younger, a Persian prince, against his brother, King Artaxerxes II
- The Ten Thousand: A Novel of Ancient Greece by Michael Curtis Ford. 2001. ISBN 0-312-26946-3 Historic fiction about the Army of the Ten Thousand
- The World of the Ten Thousand Things: Poems 1980–1990 by Charles Wright ISBN 0-374-29293-0 ISBN 0-374-52326-6
- Ten Thousand Lovers by Edeet Ravel ISBN 0-06-056562-4
In music,
- 10,000 Days is the title of the fourth studio album by Tool
- Ten Thousand Fists is an album by Disturbed.
- 10 000 Hz Legend album by Air 2001
- 10,000 Maniacs is a US rock band.
- "10,000 Men" is a song by Bob Dylan
- Ten Thousand Men of Harvard is a fight song of Harvard University
- "10,000 promises" is a song by the Backstreet Boys
- 10,000 Promises. is a Japanese popular music group
- "Ten Thousand Strong" is a song by American Power metal band, Iced Earth.
In philosophy, Lao Zi writes about ten thousand things in the Tao Te Ching In Taoism, the "10,000 Things" is a term meaning all of phenomenal reality.
In psychology, Ten Thousand Dreams Interpreted, or what's in a dream: a scientific and practical, by Miller, Gustavus Hindman (1857–1929). Project Gutenberg^[8]
In religion,
- the Bible,
  - has 52 references to ten thousand in the King James Version.,
  - Revelation 5:11 And I beheld, and I heard the voice of many angels round about the throne and the beasts and the elders: and the number of them was ten thousand times ten thousand, and thousands of thousands; (KJV) The Apocalypse of John
- hymn, Ten thousand times ten thousand
- The Ten thousand martyrs from The Catholic Encyclopedia
In software,
- the Year 10,000 problem is the collective name for all potential software bugs that will emerge as the need to express years with five digits arises.
In sports,
- In athletics, 10,000 metres, 10 kilometres, 10 km, or 10K (6.2 miles) is the final standard track event in a long-distance track event and a distance in other racing events such as running, cycling and skiing.
- In bicycle racing, annual Tour of 10,000 Lakes Stage Race in Minneapolis
- In baseball, on July 15, 2007, the Philadelphia Phillies became the first team in professional sports' history to lose 10,000 .
In training, 10,000 hours of adequate practice are necessary to achieve world class skills in any activity.^[9]

Selected numbers in the range 10001–19999

10007 – smallest five-digit prime number
10008 – palindromic in bases 5 (310013₅), 22 (KEK₂₂), 28 (CLC₂₈) and 33 (969₃₃) and a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 10, 13, 14 and 16
10033 – a character from the fictional Vlog series lonelygirl15
10080 – highly composite number;^[10] number of minutes in a week
10111 – palindromic prime in bases 3 (111212111₃) and 27 (DND₂₇)
10201 – 101², palindromic square (in the decimal system)
10206 – pentagonal pyramidal number^[11]
10223 – sixth last number to be eliminated (in 2016) by Seventeen or Bust (now a sub-project of PrimeGrid) in the Sierpiński problem
10239 – Woodall number^[12]
10252 – Padovan number^[13]
10267 – cuban prime^[14]
10301 – palindromic prime in bases 10 (10301₁₀), 27 (E3E₂₇), 30 (BDB₃₀) and 44 (5E5₄₄)
10333 – star prime,^[15] palindromic in bases 9 (15151₉), 31 (ANA₃₁) and 35 (8F8₃₅)
10416 – square pyramidal number^[16]
10425 – octahedral number^[17]
10430 – weird number^[18]
10440 – 144th triangular number
10433 – palindromic prime in base 44 (5H5₄₄)
10500 – Harshad number in bases 2, 3, 4, 6, 7, 8, 9, 10, 11, 15 and 16
10501 – palindromic prime in bases 10 (10501₁₀) and 58 (373₅₈)
10512 – Harshad number in bases 2, 3, 4, 5, 7, 8, 9, 10, 13 and 16
10538 – 10538 Overture is a hit single by Electric Light Orchestra
10560 – Harshad number in bases 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14 and 16
10570 – weird number^[18]
10585 – Carmichael number^[19]
10601 – palindromic prime in bases 10 (10601₁₀) and 30 (BNB₃₀)
10609 – tribonacci number^[20]
10631 – palindromic prime in base 30 (BOB₃₀)
10646 – ISO 10646 is the standard for Unicode
10648 – 22³
10660 – tetrahedral number^[21]
10671 – tetranacci number^[22]
10700 – 10700 kHz or 10.7 MHz is a standard intermediate frequency for analog superheterodyne FM broadcast band receivers.
10744 – amicable number with 10856
10752 – the second 16-bit word of a TIFF file if the byte order marker is misunderstood
10792 – weird number^[18]
10800 – number of bricks used for the uttaravedi in the Agnicayana ritual
10837 – star prime^[15]
10856 – amicable number with 10744
10905 – Wedderburn–Etherington number^[23]
10922 – repdigit in base 4 (2222222₄), and palindromic in base 8 (25252₈)
10946 – Fibonacci number,^[24] Markov number^[25]
10989 – reverses when multiplied by 9
10990 – weird number^[18]
11025 – sum of the cubes of the first 14 positive integers
11083 – palindromic prime in 2 consecutive bases: 23 (KLK₂₃) and 24 (J5J₂₄)
11311 – palindromic prime
11340 – Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
11377 – Smarandache reverse power summation number
11353 – star prime^[15]
11368 – pentagonal pyramidal number^[11]
11410 – weird number^[18]
11411 – palindromic prime in base 10
11424 – Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
11440 – square pyramidal number^[16]
11480 – tetrahedral number^[21]
11605 – smallest integer to start a run of five consecutive integers with the same number of divisors
11690 – weird number^[18]
11719 – cuban prime,^[14] twin prime with 11717
11726 – octahedral number^[17]
11826 – smallest number whose square (algebra) is pandigital but lacks zeros.
11953 – palindromic prime in bases 7 (46564₇) and 30 (D8D₃₀)
12097 – cuban prime^[14]
12110 – weird number^[18]
12167 – 23³
12198 – semi-meandric number^[26]
12285 – amicable number with 14595
12287 – Thabit number
12321 – palindromic square
12341 – tetrahedral number^[21]
12407 - cited on QI as the smallest uninteresting positive integer in terms of arithmetical mathematics.^{[notes 1]}^[27]
12421 – palindromic prime
12529 – square pyramidal number^[16]
12530 – weird number^[18]
12670 – weird number^[18]
12721 – palindromic prime
12726 – Ruth–Aaron pair
12758 – largest number that cannot be expressed as the sum of distinct cubes
12765 – Finnish internet meme; the code accompanying no-prize caps in a Coca-Cola bottle top prize contest. Often spelled out yksi – kaksi – seitsemän – kuusi – viisi, ei voittoa, "one – two – seven – six – five, no prize").
12769 – 113², palindromic in base 3
12821 – palindromic prime
13244 – tetrahedral number^[21]
13267 – cuban prime^[14]
13131 – octahedral number^[17]
13331 – palindromic prime
13370 – weird number^[18]
13510 – weird number^[18]
13581 – Padovan number^[13]
13669 – cuban prime^[14]
13685 – square pyramidal number^[16]
13790 – weird number^[18]
13792 – largest number that is not a sum of 16 fourth powers
13820 – meandric number, open meandric number
13824 – 24³
13831 – palindromic prime
13860 – Pell number^[28]
13930 – weird number^[18]
13931 – palindromic prime
13950 – pentagonal pyramidal number^[11]
14190 – tetrahedral number^[21]
14200 – number of n-Queens Problem solutions for n – 12
14341 – palindromic prime
14400 – sum of the cubes of the first 15 positive integers
14641 – 11⁴, palindromic square (base 10)
14644 – octahedral number^[17]
14701 – Markov number^[25]
14741 – palindromic prime
14770 – weird number^[18]
14595 – amicable number with 12285
14884 – 122², palindromic square in base 11
14910 – square pyramidal number^[16]
15015 – smallest odd and square-free abundant number^[29]
15120 – highly composite number^[10]
15180 – tetrahedral number^[21]
15376 – pentagonal pyramidal number^[11]
15387 – Zeisel number^[30]
15451 – palindromic prime
15511 – Motzkin number^[31]
15551 – palindromic prime
15610 – weird number^[18]
15625 – 5⁶
15841 – Carmichael number^[19]
15876 – 126², palindromic square in base 5
15890 – weird number^[18]
16030 – weird number^[18]
16061 – palindromic prime
16091 – strobogrammatic prime^[32]
16127 – Carol prime,^[33] also an emirp
16206 – square pyramidal number^[16]
16269 – octahedral number^[17]
16310 – weird number^[18]
16361 – palindromic prime
16384 – 2¹⁴, palindromic in base 15
16447 – Friedman number
16561 – palindromic prime
16580 – Leyland number^[34]
16639 – Kynea number^[35]
16651 – cuban prime^[14]
16661 – palindromic prime
16730 – weird number^[18]
16796 – Catalan number^[36]
16807 – 7⁵
16843 – Wolstenholme prime^[37]
16870 – weird number^[18]
16896 – pentagonal pyramidal number^[11]
17163 – the largest number that is not the sum of the squares of distinct primes
17272 – weird number^[18]
17296 – amicable number with 18416^[38]
17344 – Kaprekar number^[39]
17471 – palindromic prime
17570 – weird number^[18]
17575 – square pyramidal number^[16]
17576 – 26³, palindromic in base 5
17689 – 133², palindromic in base 11
17711 – Fibonacci number^[24]
17971 – palindromic prime
17990 – weird number^[18]
17991 – Padovan number^[13]
18010 – octahedral number^[17]
18181 – palindromic prime, strobogrammatic prime^[32]
18410 – weird number^[18]
18416 – amicable number with 17296^[40]
18481 – palindromic prime
18496 – sum of the cubes of the first 16 positive integers
18600 – harmonic divisor number^[41]
18620 – harmonic divisor number^[41]
18785 – Leyland number^[34]
18830 – weird number^[18]
18970 – weird number^[18]
19019 – square pyramidal number^[16]
19390 – weird number^[18]
19391 – palindromic prime
19441 – cuban prime^[14]
19455 – smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
19513 – tribonacci number^[20]
19531 – repunit prime in base 5
19600 – 140², tetrahedral number
19609 – first prime followed by a prime gap of over fifty
19670 – weird number^[18]
19683 – 3⁹
19871 – octahedral number^[17]
19891 – palindromic prime
19927 – cuban prime^[14]
19991 – palindromic prime

Notes

↑ On the basis that it did not then (November 2011) appear in Sloane's On-Line Encyclopedia of Integer Sequences.

References

Gladwell, Malcolm (2008). Outliers: The story of Success. New York: Little, Brown & Co. ISBN 978-0-316-03669-6.

↑ http://www.merriam-webster.com/dictionary/myriad (Merriam-Webster's Online Dictionary)
↑ Climate Timeline Information Tool
↑ http://www.infoworld.com/article/04/07/28/HNnasalinux_1.html news
↑ NASA Project: Columbia
↑ Brewster, David (1830). The Edinburgh Encyclopædia. 12. Edinburgh, UK: William Blackwood, John Waugh, John Murray, Baldwin & Cradock, J. M. Richardson. p. 494. Retrieved 2015-10-09.
↑ Brewster, David (1832). The Edinburgh Encyclopaedia. 12 (1st American ed.). Joseph and Edward Parker. Retrieved 2015-10-09.
↑ Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German). 11. Stuttgart, Germany: J.W. Gotta'schen Buchhandlung. Retrieved 2015-10-09.
↑ https://www.gutenberg.org/etext/926 : Ten Thousand Dreams Interpreted
↑ Gladwell 2008.
1 2 "Sloane's A002182 : Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 3 4 5 "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A003261 : Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 3 "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
1 2 3 4 5 6 7 8 "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 3 "Sloane's A083577 : Prime star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 3 4 5 6 7 8 "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 3 4 5 6 7 "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 3 4 5 6 "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A000078 : Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A001190 : Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A000682 : Semimeanders". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ Host: Stephen Fry; Panellists: Alan Davies, Al Murray, Dara Ó Briain and Sandi Toksvig (11 November 2011). "Inland Revenue". QI. Series I. Episode 10. London, England. 19:55 minutes in. BBC. BBC Two.
↑ "Sloane's A000129 : Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A112643 : Odd and squarefree abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A051015 : Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 "Sloane's A007597 : Strobogrammatic primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A091516 : Primes of the form 4^n - 2^(n+1) - 1". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
1 2 "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A093069 : a(n) = (2^n + 1)^2 - 2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A000108 : Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ "Sloane's A088164 : Wolstenholme primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1.
↑ "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
↑ Higgins, ibid.
1 2 "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.

External links

Wikimedia Commons has media related to 10000 (number).

Look up ten thousand in Wiktionary, the free dictionary.

Large numbers

Examples in numerical order

Expression methods

Notations	Knuth's up-arrow notation Conway chained arrow notation Steinhaus–Moser notation

Operators	Hyperoperation Tetration Pentation Ackermann function Bowers' operators

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