:10,000

{{About|the natural number (and other integers between 10,000 and 19,999)}}

{{Infobox number

| number = 10000

| numeral = decamillesimal

| unicode = {{overline|X}}, ↂ

| greek prefix = myria-

| latin prefix = decamilli-

| lang1 = Chinese numeral

| lang1 symbol = 万, 萬

|lang2=Armenian|lang2 symbol=Օ|lang3=Egyptian hieroglyph|lang3 symbol=𓂭|divisor=25 total}}

10,000 (ten thousand) is the natural number following 9,999 and preceding 10,001.

Name

{{See also|Orders of magnitude (numbers)}}

Many languages have a specific word for this number: in Ancient Greek it is {{lang|grc|μύριοι}} (the etymological root of the word myriad in English), in Aramaic {{lang|arc|ܪܒܘܬܐ}}, in Hebrew {{lang|he|רבבה}} [{{transliteration|he|revava}}], in Chinese {{lang|zh|萬/万}} (Mandarin {{transliteration|cmn|wàn}}, Cantonese {{transliteration|yue|maan6}}, Hokkien bān), in Japanese {{nihongo2|万/萬}} [{{transliteration|ja|man}}], in Khmer {{lang|km|ម៉ឺន}} [{{transliteration|km|meun}}], in Korean {{lang|ko|만/萬}} [{{transliteration|ko|man}}], in Russian {{lang|ru|тьма}} [{{transliteration|ru|t'ma}}], in Vietnamese {{lang|vi|vạn}}, in Sanskrit अयुत [ayuta], in Thai {{lang|th|หมื่น}} [{{transliteration|th|meun}}], in Malayalam {{lang|ml|പതിനായിരം}} [{{transliteration|ml|patinayiram}}], and in Malagasy alina.{{cite web|url=http://malagasyword.org/bins/teny2/alina|title = Malagasy Dictionary and Madagascar Encyclopedia : Alina}} In many of these languages, it often denotes a very large but indefinite number.{{cite web|url=http://www.merriam-webster.com/dictionary/myriad|title=Myriad Definition & Meaning - Merriam-Webster|website=Merriam-Webster's Online Dictionary|date=13 March 2024 }}

The classical Greeks used letters of the Greek alphabet to represent Greek numerals: they used a capital letter mu (Μ) to represent ten thousand.{{Citation needed|date=February 2024}} This Greek root was used in early versions of the metric system in the form of the decimal prefix myria-.{{Cite journal |last=Baldwin |first=James |date=1885 |title=Notes on Teaching History |url=https://www.jstor.org/stable/44009109 |journal=Educational Weekly |volume=5 |issue=2 |pages=4–5 |jstor=44009109 |issn=2475-3262}}

Depending on the country, the number ten thousand is usually written as 10,000 (including in the UK and US), 10.000, or 10 000.{{cite web|url=https://docs.oracle.com/cd/E19455-01/806-0169/overview-9/index.html|title=Decimal and Thousands Separators (International Language Environments Guide)|website=oracle.com}}

In mathematics

In scientific notation, it is written as 104 or 1 E+4 (equivalently 1 E4) in E notation. It is the square of 100 and the square root of 100,000,000.

The value of a myriad to the power of itself, 1000010000 = 1040000.

It has a total of 25 divisors, whose geometric mean is a whole number, 100 (the number of primes below this value is 25).{{Cite OEIS|A006880|Number of primes less than 10^n}}

It has a reduced totient of 500, and a totient of 4,000, with a total of 16 integers having a totient value of 10,000.{{Cite OEIS |A002322 |Reduced totient function}}{{Cite OEIS|A000010|Euler totient function}}

There are a total of 1,229 prime numbers less than ten thousand, a count that is itself prime.{{Cite OEIS|A000040|The prime numbers}} See "Table of n, prime(n) for n = 1..10000" under "Links".

A myriagon is a polygon with ten thousand edges and a total of 25 dihedral symmetry groups when including the myriagon itself, alongside 25 cyclic groups as subgroups.{{Cite book |author1=John Horton Conway |author1-link= John Horton Conway |author2=Heidi Burgiel |author3=Chaim Goodman-Strauss |url=https://www.routledge.com/The-Symmetries-of-Things/Conway-Burgiel-Goodman-Strauss/p/book/9781568812205 |title=The Symmetries of Things |publisher=A K Peters/CRC Press |year=2008 |isbn=978-1-56881-220-5 }} Chapter 20.

In science

  • In astronomy,
  • asteroid Number: 10000 Myriostos, Provisional Designation: {{mp|1951 SY|}}, Discovery Date: September 30, 1951, by A. G. Wilson:List of asteroids (9001-10000).
  • In climate, Summary of 10000 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.[https://archive.today/20120805071442/http://www.ngdc.noaa.gov/paleo/ctl/index.html Climate Timeline Information Tool]
  • In computing,
  • 65,536 kilobytes in decimal is equal to 10,000 kB in hexadecimal (the equivalent addressing ranges of 0 to 65,535 in decimal are 0 to FFFF in hex).
  • NASA built a 10000-processor Linux computer (it is actually a 10,240-processor) called Columbia.[http://www.infoworld.com/article/04/07/28/HNnasalinux_1.html news]{{cite web |url=http://www.nas.nasa.gov/About/Projects/Columbia/columbia.html |title=NASA Project: Columbia |access-date=2005-02-15 |archive-url=https://web.archive.org/web/20050408085108/http://www.nas.nasa.gov/About/Projects/Columbia/columbia.html |archive-date=2005-04-08 |url-status=dead }}
  • In geography,
  • Land of 10000 Lakes is the nickname for the state of Minnesota.
  • Land of 10000 Trails or 10000trails.com is an organization created in 1999 by the TN/KY Lakes Area Coalition and based in West Tennessee and West Kentucky to promote tourism by developing trails in the region.{{usurped|1=[https://web.archive.org/web/20010517233545/http://www.10000trails.com/ 10000 trails web site]}}
  • 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.{{cite web |url=http://southeast.fws.gov/TenThousandIsland/ |title=Ten Thousand Islands NWR |website=U.S. Fish & Wildlife Service |access-date=2005-02-14 |archive-date=2005-03-01 |archive-url=https://web.archive.org/web/20050301104852/http://southeast.fws.gov/tenthousandisland/ |url-status=dead }}
  • Valley of Ten Thousand Smokes in Alaska.
  • In physics,
  • Myria- (and myrio-){{cite book|title=The Edinburgh Encyclopædia|first=David|last=Brewster|volume=12|date=1830|location=Edinburgh, UK|publisher=William Blackwood, John Waugh, John Murray, Baldwin & Cradock, J. M. Richardson|page=494|url=https://books.google.com/books?id=0bIkTUZAbxcC|access-date=2015-10-09}}{{cite book|title=The Edinburgh Encyclopaedia|first=David|last=Brewster|volume=12|edition=1st American|date=1832|publisher=Joseph and Edward Parker|url=https://books.google.com/books?id=17RGAQAAIAAJ&pg=PA572|access-date=2015-10-09}}{{cite book|title=Polytechnisches Journal|first=Johann Gottfried|last=Dingler|volume=11|date=1823|publisher=J.W. Gotta'schen Buchhandlung|language=de|location=Stuttgart, Germany|url=https://books.google.com/books?id=wF3zAAAAMAAJ&pg=PA500|access-date=2015-10-09}} 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 10000 km/s.
  • In acoustics, 10,000 hertz, 10 kilohertz, or 10 kHz of a sound signal at sea level has a wavelength of about 34  mm.
  • In music, a 10 kilohertz sound is a E♭9 in the A440 pitch standard, a bit more than an octave higher in pitch than the highest note on a standard piano.

In time

In the arts

In other fields

  • In currency,
  • A version of Iraq's 10,000 dinar banknote has Abu Ali Hasan Ibn al-Haitham (also known as Alhazen) on the front, and a later issue has sculptor Jawad Saleem's Freedom Monument in Baghdad on the front. Both notes have an image of Mosul's al-Hadba' Minaret on the back.{{cite web|url=http://www.iraqi-dinar.com/dinar-currency.php |title=Iraq Dinar Currency Photos| Banknote Series | 25000, 10000, 5000, 1000, 250, 50 Dinars |publisher=iraqi-dinar.com |date= |archive-url=https://web.archive.org/web/20050207025025/http://www.iraqi-dinar.com/dinar-currency.php |accessdate=2022-08-04|archive-date=2005-02-07 }} The first issue had an image of former Iraqi president Saddam Hussein and the Spiral Minaret - Al-Minārat Al-Malwiyyah in Samarra.http://www.iraqsales.com/10%2C000.htm {{Webarchive|url=https://web.archive.org/web/20050206094238/http://iraqsales.com/10,000.htm |date=2005-02-06 }}
  • the Japanese ¥10,000 banknote depicts Fukuzawa Yukichi.
  • Kazakhstan's 10,000 banknote.
  • the Lebanese £L10,000 banknote depicts Beirut's Martyrs' Square.
  • Myanmar's (Burma's) Ks.10,000/- banknote.
  • the U.S. $10,000 note depicts 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 {{pi}} km2 ≈ 314.159 km2.
  • In finance, on March 29, 1999, the Dow Jones Industrial Average closed at 10006.78, 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.{{cite web|url=http://www.kurzweilai.net/meme/frame.html?main=%2Farticles%2Fart0158.html |title= The 10,000-Year Library |first=Stewart |last=Brand |website=kurzweilai.net |date= |archive-url= https://web.archive.org/web/20050205055351/http://www.kurzweilai.net/meme/frame.html?main=%2Farticles%2Fart0158.html |accessdate=2022-08-04|archive-date=2005-02-05 }}
  • In games,
  • Ten Thousand is one name of a dice game called farkle.
  • In game shows, The $10,000 Pyramid ran on television from 1973 to 1974.
  • In history,
  • Army of 10,000 Mississippi American Civil War military unit, 1861–1862.{{cite web|url=http://mississippiscv.org/MS_Units/army_of_10k.htm |title=Army of 10,000 |website=mississippiscv.org |date= |archive-url=https://web.archive.org/web/20020401045041/http://mississippiscv.org/MS_Units/army_of_10k.htm |accessdate=2022-08-04|archive-date=2002-04-01 }}
  • The Army of the Ten Thousand were a group of Ancient Greek mercenaries who marched against Artaxerxes II of Persia.
  • 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, 10,000 is the Number of besieging forces led by Muhammad's adversary, Abu Sufyan, during the Battle of the Trench.
  • 10,000 is the number of 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.
  • 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,
  • {{Lang|ja-latn|Man'yōshū}} ({{nihongo2|万葉集}} {{Lang|ja-latn|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.{{cite web | url=http://www.hti.umich.edu/cgi/b/bib/bibperm?q1=eprosed-P3.0504 | title=University of Michigan Digital Library - Login Options }}
  • 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 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.{{cite web|url=http://www.thebigview.com/tao-te-ching/chapter34.html |title=Tao Te Ching, Verse 34 |website=thebigview.com |date= |archive-url=https://web.archive.org/web/20070817180923/http://www.thebigview.com/tao-te-ching/chapter34.html |accessdate=2022-08-04|archive-date=2007-08-17 }}
  • In piphilology, ten thousand is the current world record for the Number of digits of pi memorized by a human being.
  • In psychology, Ten Thousand Dreams Interpreted, or what's in a dream: a scientific and practical, by Miller, Gustavus Hindman (1857–1929). Project Gutenberg.https://www.gutenberg.org/ebooks/926 : Ten Thousand Dreams Interpreted
  • In religion,
  • The Bible,
  • has 52 references to ten thousand in the King James Version.http://bible.gospelcom.net/keyword/?search=ten%20thousand&version1=9&searchtype=phrase&wholewordsonly=yes , [http://bible.gospelcom.net/keyword/?search=ten%20thousands&version1=9&searchtype=phrase]
  • 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.[http://www.earlychristianwritings.com/text/revelation-kjv.html (KJV)] [http://www.earlychristianwritings.com/revelation.html The Apocalypse of John]
  • hymn, Ten thousand times ten thousand.[http://www.hymntime.com/tch/htm/t/e/tenttent.htm]{{dead link|date=August 2022}}
  • The Ten thousand martyrs.[http://www.newadvent.org/cathen/09746a.htm 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 meters, 10 kilometers, 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.{{cite web|first=Jeanne|last=Ulmer |url=http://www.tourof10000lakes.net/ |title=Minnesota Cycling Team –Tour of 10,000 Lakes |website=tourof10000lakes.net |date= |archive-url=https://web.archive.org/web/20050221101850/http://www.tourof10000lakes.net/ |accessdate=2022-08-04|archive-date=2005-02-21 }}
  • In baseball, on July 15, 2007, the Philadelphia Phillies became the first team in American professional sports history to lose 10,000 games.

Selected numbers in the range 10001-19999

=10001 to 10999=

  • 10007 = smallest five-digit prime number, twin prime with 10009
  • 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
  • 10009 = twin prime with 10007
  • 10018 = centered heptagonal number
  • 10080 = 21st highly composite number;{{cite OEIS|A002182|Highly composite numbers}} number of minutes in a week
  • 10111 = palindromic prime in bases 3 (1112121113) and 27 (DND27)
  • 10143 = number of partitions of 33{{cite OEIS|A000041|a(n) is the number of partitions of n (the partition numbers)}}
  • 10176 = smallest (provable) generalized Riesel number in base 10: {{math|10176*10n-1}} is always divisible by one of the prime numbers {{math|{7, 11, 13, 37}}{{cite OEIS|A273987|Smallest Riesel number to base n}}
  • 10201 = 1012, palindromic square (in the decimal system)
  • 10206 = pentagonal pyramidal number{{cite OEIS|A002411|Pentagonal pyramidal numbers}}
  • 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{{cite OEIS|A003261|Woodall (or Riesel) numbers: n*2^n - 1}}
  • 10252 = Padovan number{{cite OEIS|A000931|Padovan sequence}}
  • 10267 = cuban prime{{cite OEIS|A002407|Cuban primes}}
  • 10301 = palindromic prime in bases 10 (1030110), 27 (E3E27), 30 (BDB30) and 44 (5E544)
  • 10333 = star prime,{{cite OEIS|A083577|Prime star numbers}} palindromic in bases 9 (151519), 31 (ANA31) and 35 (8F835)
  • 10368 = 3-smooth number (27×34)
  • 10395 = double factorial of 11
  • 10416 = square pyramidal number{{cite OEIS|A000330|Square pyramidal numbers}}
  • 10425 = octahedral number{{cite OEIS|A005900|Octahedral numbers}}
  • 10430 = weird number{{cite OEIS|A006037|Weird numbers}}
  • 10433 = palindromic prime in base 44 (5H544)
  • 10440 = 144th triangular number
  • 10499 = twin prime with 10501
  • 10500 = Harshad number in bases 2, 3, 4, 6, 7, 8, 9, 10, 11, 15 and 16
  • 10501 = palindromic prime in bases 10 (1050110){{cite OEIS|A002385|Palindromic primes: prime numbers whose decimal expansion is a palindrome}} 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
  • 10585 = Carmichael number{{cite OEIS|A002997|Carmichael numbers}}
  • 10601 = palindromic prime in bases 10 (1060110) and 30 (BNB30)
  • 10609 = 1032, tribonacci number{{cite OEIS|A000073|Tribonacci numbers}}
  • 10631 = palindromic prime in base 30 (BOB30)
  • 10646 = ISO 10646 is the standard for Unicode
  • 10648 = 223, the smallest 5-digit cube
  • 10660 = tetrahedral number{{cite OEIS|A000292|Tetrahedral numbers}}
  • 10671 = tetranacci number{{cite OEIS|A000078|Tetranacci numbers}}
  • 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
  • 10800 = number of bricks used for the uttaravedi in the Agnicayana ritual
  • 10837 = star prime
  • 10856 = amicable number with 10744
  • 10905 = Wedderburn–Etherington number{{cite OEIS|A001190|Wedderburn-Etherington numbers}}
  • 10922 = repdigit in base 4 (22222224), and palindromic in base 8 (252528)
  • 10946 = Fibonacci number,{{cite OEIS|A000045|Fibonacci numbers}} Markov number{{cite OEIS|A002559|Markoff (or Markov) numbers}}
  • 10958 = the smallest positive integer that cannot be represented by an equation using increasing order of integers from 1 to 9 and basic arithmetic operations{{cite arXiv| last=Taneja| first=Inder| title=Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9| date=2013| eprint=1302.1479| class=math.HO}}
  • 10981 = number of reduced trees with 22 nodes{{cite OEIS|A000014|Number of series-reduced trees with n nodes}}
  • 10989 = reverses when multiplied by 9
  • 10990 = weird number

=11000 to 11999=

  • 11025 = 1052, the sum of the first 14 positive integer cubes
  • 11083 = palindromic prime in 2 consecutive bases: 23 (KLK23) and 24 (J5J24)
  • 11111 = Repunit{{cite oeis|A002275|Repunits: (10^n - 1)/9. Often denoted by R_n}}
  • 11297 = Number of planar partitions of 16{{cite OEIS|A000219|Number of planar partitions (or plane partitions) of n}}
  • 11298 = Riordan number
  • 11311 = palindromic prime in decimal
  • 11340 = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
  • 11353 = star prime
  • 11368 = pentagonal pyramidal number
  • 11410 = weird number
  • 11411 = palindromic prime in decimal
  • 11424 = Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
  • 11440 = square pyramidal number
  • 11480 = tetrahedral number
  • 11574 = approximate number of days in a billion seconds
  • 11593 = smallest prime to start a run of nine consecutive primes of the form 4k + 1
  • 11605 = smallest integer to start a run of five consecutive integers with the same number of divisors
  • 11664 = 3-smooth number (24×36).
  • 11690 = weird number
  • 11717 = twin prime with 11719
  • 11719 = cuban prime, twin prime with 11717
  • 11726 = octahedral number
  • 11781 = triangular number, hexagonal number, octagonal number, and also 58-gonal, 216-gonal, 329-gonal, 787-gonal and 3928-gonal number{{cite OEIS|A000217|Triangular numbers}}{{cite OEIS|A000384|Hexagonal numbers}}{{cite OEIS|A000567|Octagonal numbers}}
  • 11826 = smallest number whose square is pandigital without zeros
  • 11953 = palindromic prime in bases 7 (465647) and 30 (D8D30)

=12000 to 12999=

  • 12000 = 12,000 of each of the twelve tribes of Israel made up the 144,000 servants of God who were 'sealed' according to the Book of Revelation in the New Testament{{bibleverse||Revelation|7:4-8|NKJV}}
  • 12048 = number of non-isomorphic set-systems of weight 12
  • 12097 = cuban prime
  • 12101 = Friedman prime
  • 12107 = Friedman prime
  • 12109 = Friedman prime
  • 12110 = weird number
  • 12167 = 233
  • 12172 = number of triangle-free graphs on 10 vertices{{cite OEIS|A006785|Number of triangle-free graphs on n vertices}}
  • 12198 = semi-meandric number{{cite OEIS|A000682|Semimeanders}}
  • 12251 = number of primes \leq 2^{17}{{cite OEIS|A007053|2=Number of primes <= 2^n}}
  • 12285 = amicable number with 14595
  • 12287 = Thabit number
  • 12288 = 3-smooth number (212×3).
  • 12289 = Proth prime, Pierpont prime
  • 12310 = number of partitions of 34
  • 12321 = 1112, Demlo number, palindromic square
  • 12341 = tetrahedral number
  • 12345 = smallest whole number containing all numbers from 1 to 5
  • 12407 = cited on Q.I. as the smallest uninteresting positive integer regarding arithmetical mathematicsOn the basis that it did not then (November 2011) appear in Sloane's On-Line Encyclopedia of Integer Sequences{{cite episode|title=Inland Revenue|url=http://www.comedy.co.uk/guide/tv/qi/episodes/9/10/|series=QI|series-link=QI|credits=Host: Stephen Fry; Panellists: Alan Davies, Al Murray, Dara Ó Briain and Sandi Toksvig|network=BBC|station=BBC Two|location=London, England|airdate=11 November 2011|series-no=I|number=10|minutes=19:55}}
  • 12421 = palindromic prime
  • 12496 = smallest sociable number
  • 12500 = 22×55{{cite OEIS|A048102|Numbers k such that if k equals Product p_i^e_i then p_i equals e_i for all i}}
  • 12529 = square pyramidal number
  • 12530 = weird number
  • 12542 = there is a match puzzle called MOST + MOST = TOKYO, where each letter represents a digit. When one solves the puzzle, TOKYO = 12542, as 6271 + 6271 = 12542 {{cite web | url=https://www.mathsisfun.com/puzzles/most-most-solution.html | title=MOST+MOST Puzzle - Solution }}
  • 12670 = weird number
  • 12721 = palindromic prime
  • 12726 = Ruth–Aaron pair
  • 12758 = most significant 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 yksikaksiseitsemänkuusiviisi, ei voittoa, "one – two – seven – six – five, no prize".
  • 12769 = 1132, palindromic in base 3
  • 12821 = palindromic prime

=13000 to 13999=

  • 13122 = 3-smooth number (2×38).
  • 13131 = octahedral number
  • 13244 = tetrahedral number
  • 13267 = cuban prime
  • 13331 = palindromic prime
  • 13370 = weird number
  • 13510 = weird number
  • 13581 = Padovan number
  • 13648 = number of 20-bead necklaces (turning over is allowed) where complements are equivalent{{cite OEIS|A000011|Number of n-bead necklaces (turning over is allowed) where complements are equivalent}}
  • 13669 = cuban prime
  • 13685 = square pyramidal number
  • 13790 = weird number
  • 13792 = largest number that is not a sum of 16 fourth powers
  • 13798 = number of 19-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed{{cite OEIS|A000013|Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed}}
  • 13820 = meandric number, open meandric number
  • 13824 = 243
  • 13831 = palindromic prime
  • 13860 = Pell number{{cite OEIS|A000129|Pell numbers}}
  • 13930 = weird number
  • 13931 = palindromic prime
  • 13950 = pentagonal pyramidal number

=14000 to 14999=

  • 14190 = tetrahedral number
  • 14200 = number of n-Queens Problem solutions for n – 12
  • 14341 = palindromic prime
  • 14400 = 1202, the sum of the first 15 positive integers cubes
  • 14595 = amicable number with 12285
  • 14641 = 1212 = 114, palindromic square (base 10)
  • 14644 = octahedral number
  • 14701 = Markov number
  • 14741 = palindromic prime
  • 14770 = weird number
  • 14883 = number of partitions of 35
  • 14884 = 1222, palindromic square in base 11
  • 14910 = square pyramidal number

=15000 to 15999=

  • 15015 = smallest odd and square-free abundant number{{cite OEIS|A112643|Odd and square-free abundant numbers}}
  • 15120 = 22nd highly composite number;{{Cite web |title=A002182 - OEIS |url=https://oeis.org/A002182 |access-date=2024-11-28 |website=oeis.org}} smallest number with exactly 80 factors
  • 15180 = tetrahedral number
  • 15376 = 1242, pentagonal pyramidal number
  • 15387 = Zeisel number{{cite OEIS|A051015|Zeisel numbers}}
  • 15451 = palindromic prime
  • 15511 = Motzkin prime{{cite OEIS|A001006|Motzkin numbers}}
  • 15551 = palindromic prime
  • 15552 = 3-smooth number (26×35)
  • 15610 = weird number
  • 15625 = 1252 = 253 = 56
  • 15629 = Friedman prime
  • 15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples{{cite OEIS|A007530|Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime}} (in between which lies a record prime gap of 43{{cite web|url=https://primes.utm.edu/notes/GapsTable.html|title=Table of Known Maximal Gaps|publisher=Prime Pages}})
  • 15661 = Friedman prime
  • 15667 = second nice Friedman prime
  • 15679 = Friedman prime
  • 15793 – Number of parallelogram polyominoes with 13 cells{{cite OEIS|A006958|Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused)}}
  • 15841 = Carmichael number
  • 15876 = 1262, palindromic square in base 5
  • 15890 = weird number

=16000 to 16999=

  • 16030 = weird number
  • 16057 = the following prime sextuplet after 97, 16061, 16063, 16067, 16069, and 16073
  • 16061 = palindromic prime
  • 16072 = logarithmic number{{cite OEIS|A002104|Logarithmic numbers}}
  • 16091 = strobogrammatic prime{{cite OEIS|A007597|Strobogrammatic primes}}
  • 16206 = square pyramidal number
  • 16269 = octahedral number
  • 16310 = weird number
  • 16361 = palindromic prime
  • 16381 = Friedman prime
  • 16384 = 1282 = 214, palindromic in base 15
  • 16447 = third nice Friedman prime
  • 16561 = palindromic prime
  • 16580 = Leyland number{{cite OEIS|A076980|Leyland numbers}} using 2 & 14 (214 + 142)
  • 16651 = cuban prime
  • 16661 = palindromic prime
  • 16730 = weird number
  • 16759 = Friedman prime
  • 16796 = Catalan number{{cite OEIS|A000108|Catalan numbers}}
  • 16807 = 75
  • 16843 = smallest Wolstenholme prime{{cite OEIS|A088164|Wolstenholme primes}}
  • 16870 = weird number
  • 16879 = Friedman prime
  • 16896 = pentagonal pyramidal number
  • 16999 = number of partially ordered set with 8 unlabeled elements{{cite OEIS|A000112| Number of partially ordered sets (posets) with n unlabeled elements}}

=17000 to 17999=

  • 17073 = number of free 11-ominoes
  • 17163 = the most significant number that is not the sum of the squares of distinct primes
  • 17272 = weird number
  • 17296 = amicable number with 18416{{cite book |title=Number Story: From Counting to Cryptography |url=https://archive.org/details/numberstoryfromc00higg_612 |url-access=limited |last=Higgins |first=Peter |year=2008 |publisher=Copernicus |location=New York |isbn=978-1-84800-000-1 |page=[https://archive.org/details/numberstoryfromc00higg_612/page/n69 61] }}
  • 17344 = Kaprekar number{{cite OEIS|A006886|Kaprekar numbers}}
  • 17389 = 2000th prime number
  • 17471 = palindromic prime
  • 17496 = 3-smooth number (23×37)
  • 17570 = weird number
  • 17575 = square pyramidal number
  • 17576 = 263, palindromic in base 5
  • 17689 = 1332, palindromic in base 11
  • 17711 = Fibonacci number
  • 17971 = palindromic prime
  • 17977 = number of partitions of 36
  • 17990 = weird number
  • 17991 = Padovan number

=18000 to 18999=

  • 18010 = octahedral number
  • 18181 = palindromic prime, strobogrammatic prime
  • 18334 = number of planar partitions of 17
  • 18410 = weird number
  • 18416 = amicable number with 17296Higgins, ibid.
  • 18432 = 3-smooth number (211×32).
  • 18481 = palindromic prime
  • 18496 = 1362, the sum of the first 16 positive integers cubes
  • 18600 = harmonic divisor number{{cite OEIS|A001599|Harmonic or Ore numbers}}
  • 18620 = harmonic divisor number
  • 18785 = Leyland number using 4 & 7 (47 + 47)
  • 18830 = weird number
  • 18970 = weird number

=19000 to 19999=

  • 19019 = square pyramidal number
  • 19141 = unique prime in base 12
  • 19302 = Number of ways to partition {1,2,3,4,5,6,7} and then partition each cell (block) into subcells{{cite OEIS|A000258|Expansion of e.g.f. exp(exp(exp(x)-1)-1)}}
  • 19320 = number of trees with 16 unlabeled nodes{{cite OEIS|A000055|Number of trees with n unlabeled nodes}}
  • 19390 = weird number
  • 19391 = palindromic prime
  • 19417 = prime sextuplet, along with 19421, 19423, 19427, 19429, and 19433
  • 19441 = cuban prime
  • 19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
  • 19513 = tribonacci number
  • 19531 = repunit prime in base 5
  • 19600 = 1402, tetrahedral number
  • 19601/13860 ≈ √2
  • 19609 = first prime followed by a prime gap of over fifty
  • 19670 = weird number
  • 19683 = 273, 39. Furthermore, there is a math puzzle regarding the word logic, such that LOGIC = (L+O+G+I+C)3. The solution to this is (1+9+6+8+3) (1+9+6+8+3) (1+9+6+8+3), which is (27)(27)(27), which equals to 19683. This is one of two digits for which this works, although the other solution has O and I are the same digit: 17576, as (1+7+5+7+6) (1+7+5+7+6) (1+7+5+7+6) = (26)(26)(26) = 17576.{{cite web | url=https://www.mathsisfun.com/puzzles/algebra-logic-2-solution.htmlsolution | title=Algebra LOGIC 2 Puzzle - Solution }}
  • 19729 is the number of digits in 2\uparrow\uparrow5(Tetration)
  • 19739 = fourth nice Friedman prime
  • 19871 = octahedral number
  • 19891 = palindromic prime
  • 19927 = cuban prime
  • 19991 = palindromic prime

=Primes=

There are 1033 prime numbers between 10000 and 20000, a count that is itself prime. It is 196 prime numbers less than the number of primes between 0 and 10000 (1229, also prime).

See also

Notes

{{Reflist|group="notes"}}

References

{{reflist}}