10,000

the natural number (and other integers between 10,000 and 19,999) 10000 decamillesimal X, ↂ myria- decamilli- Chinese numeral 万, 萬 Armenian Օ Egyptian hieroglyph 𓂭 25 total 10,000 (ten thousand) is the natural number following 9,999 and preceding 10,001. Name Orders of magnitude (numbers) Many languages have a specific word for this number; in Ancient Greek it is grc μύριοι (the etymological root of the word myriad in English), in Aramaic arc ܪܒܘܬܐ, in Hebrew he רבבה [he revava], in Chinese zh 萬/万 (Mandarin cmn wàn, Cantonese yue maan6, Hokkien bān), in Japanese 万/萬 [ja man], in Khmer km ម៉ឺន [km meun], in Korean ko 만/萬 [ko man], in Russian ru тьма [ru t'ma], in Vietnamese vi vạn, in Sanskrit अयुत [ayuta], in Thai th หมื่น [th meun], in Malayalam ml പതിനായിരം [ml patinayiram], and in Malagasy alina.http://malagasyword.org/bins/teny2/alina Malagasy Dictionary and Madagascar Encyclopedia : Alina In many of these languages, it often denotes a very large but indefinite number.http://www.merriam-webster.com/dictionary/myriad Myriad Definition & Meaning - Merriam-Webster Merriam-Webster's Online Dictionary 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.February 2024 This Greek root was used in early versions of the metric system in the form of the decimal prefix myria-.Baldwin James 1885 Notes on Teaching History https://www.jstor.org/stable/44009109 Educational Weekly 5 2 4–5 44009109 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.https://docs.oracle.com/cd/E19455-01/806-0169/overview-9/index.html Decimal and Thousands Separators (International Language Environments Guide) 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 reduced totient of 500, and a totient of 4,000, with a total of 16 integers having a totient value of 10,000.A002322 Reduced totient functionA000010 Euler totient function There are a total of 1,229 prime numbers less than ten thousand, a count that is itself prime.A006880 Number of primes less than 10^nA000040 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.John Horton Conway John Horton Conway Heidi Burgiel Chaim Goodman-Strauss https://www.routledge.com/The-Symmetries-of-Things/Conway-Burgiel-Goodman-Strauss/p/book/9781568812205 The Symmetries of Things A K Peters/CRC Press 2008 978-1-56881-220-5 Chapter 20. In science 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 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.newshttp://www.nas.nasa.gov/About/Projects/Columbia/columbia.html NASA Project: Columbia 2005-02-15 https://web.archive.org/web/20050408085108/http://www.nas.nasa.gov/About/Projects/Columbia/columbia.html 2005-04-08 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.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.http://southeast.fws.gov/TenThousandIsland/ Ten Thousand Islands NWR U.S. Fish & Wildlife Service 2005-02-14 2005-03-01 https://web.archive.org/web/20050301104852/http://southeast.fws.gov/tenthousandisland/ dead Valley of Ten Thousand Smokes in Alaska. In physics, Myria- (and myrio-)The Edinburgh Encyclopædia David Brewster 12 1830 Edinburgh, UK William Blackwood, John Waugh, John Murray, Baldwin & Cradock, J. M. Richardson 494 https://books.google.com/books?id=0bIkTUZAbxcC 2015-10-09The Edinburgh Encyclopaedia David Brewster 12 1st American 1832 Joseph and Edward Parker https://books.google.com/books?id=17RGAQAAIAAJ&pg=PA572 2015-10-09Polytechnisches Journal Johann Gottfried Dingler 11 1823 J.W. Gotta'schen Buchhandlung de Stuttgart, Germany https://books.google.com/books?id=wF3zAAAAMAAJ&pg=PA500 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 10000 BC, 10000 BCE, or 10th millennium BC. 10000-year clock or the Clock of the Long Now is a mechanical clock designed to keep time for 10000 years. In the arts Visual media 10,000 Black Men Named George, a TV series (2002) The Phantom from 10,000 Leagues, a monster film (1956) Vietnam: The Ten Thousand Day War, a miniseries (1980) Bands 10,000 Maniacs, an American rock band 10,000 Promises., a J-pop group Albums 10,000 Days, by Tool (2006) 10,000 Hz Legend, by Air (2001) 10,000 Reasons (album) by Matt Redman (2013) 10,000 Gecs by 100 gecs (2023) Ten Thousand Fists, by Disturbed (2005) Songs "Ten Thousand Men of Harvard", fight song of Harvard University "10,000 Reasons (Bless the Lord)" by Matt Redman (2013) "Ten Thousand Strong" by Iced Earth (2007) 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.http://www.iraqi-dinar.com/dinar-currency.php Iraq Dinar Currency Photos| Banknote Series | 25000, 10000, 5000, 1000, 250, 50 Dinars iraqi-dinar.com https://web.archive.org/web/20050207025025/http://www.iraqi-dinar.com/dinar-currency.php 2022-08-04 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 https://web.archive.org/web/20050206094238/http://iraqsales.com/10,000.htm 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 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.http://www.kurzweilai.net/meme/frame.html?main=%2Farticles%2Fart0158.html The 10,000-Year Library Stewart Brand kurzweilai.net https://web.archive.org/web/20050205055351/http://www.kurzweilai.net/meme/frame.html?main=%2Farticles%2Fart0158.html 2022-08-04 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.http://mississippiscv.org/MS_Units/army_of_10k.htm Army of 10,000 mississippiscv.org https://web.archive.org/web/20020401045041/http://mississippiscv.org/MS_Units/army_of_10k.htm 2022-08-04 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 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, ja-latn Man'yōshū (万葉集 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.http://www.hti.umich.edu/cgi/b/bib/bibperm?q1=eprosed-P3.0504 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. 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 0-374-29293-0 0-374-52326-6. Ten Thousand Lovers by Edeet Ravel 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.http://www.thebigview.com/tao-te-ching/chapter34.html Tao Te Ching, Verse 34 thebigview.com https://web.archive.org/web/20070817180923/http://www.thebigview.com/tao-te-ching/chapter34.html 2022-08-04 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 , 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.https://hymnary.org/text/ten_thousand_times_ten_thousand_in_spark Ten Thousand Times Ten Thousand Hymnary.org The Ten thousand martyrs.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.Jeanne Ulmer http://www.tourof10000lakes.net/ Minnesota Cycling Team –Tour of 10,000 Lakes tourof10000lakes.net https://web.archive.org/web/20050221101850/http://www.tourof10000lakes.net/ 2022-08-04 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 10001 = strobogrammatic numberA000787 Strobogrammatic numbers 10006 = number of unlabelled distributive lattices with 19 nodes.A006982 Number of unlabeled distributive lattices on n nodes 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;A002182 Highly composite numbers number of minutes in a week 10101 = strobogrammatic number 10111 = palindromic prime in bases 3 (1112121113) and 27 (DND27) 10143 = number of partitions of 33A000041 a(n) is the number of partitions of n (the partition numbers) 10176 = smallest (provable) generalized Riesel number in base 10: 10176*10n-1 is always divisible by one of the prime numbers {7, 11, 13, 37}A273987 Smallest Riesel number to base n 10201 = 1012, palindromic square (in the decimal system) 10206 = pentagonal pyramidal numberA002411 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 numberA003261 Woodall (or Riesel) numbers: n*2^n - 1 10252 = Padovan numberA000931 Padovan sequence 10267 = cuban primeA002407 Cuban primes 10289 = highly cototient number 10301 = palindromic prime in bases 10 (1030110), 27 (E3E27), 30 (BDB30) and 44 (5E544) 10333 = star prime,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 numberA000330 Square pyramidal numbers 10425 = octahedral numberA005900 Octahedral numbers 10430 = weird numberA006037 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)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 numberA002997 Carmichael numbers 10601 = palindromic prime in bases 10 (1060110) and 30 (BNB30) 10609 = 1032, tribonacci numberA000073 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 numberA000292 Tetrahedral numbers 10671 = tetranacci numberA000078 Tetranacci numbers 10709 = highly cototient number 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 10794 = number of terms of Leibniz formula for pi before "3.1415" shows up for the first time 10800 = number of bricks used for the uttaravedi in the Agnicayana ritual 10801 = strobogrammatic number 10837 = star prime 10856 = amicable number with 10744 10905 = Wedderburn–Etherington numberA001190 Wedderburn-Etherington numbers 10919 = highly cototient number 10920 = sparsely totient number 10922 = repdigit in base 4 (22222224), and palindromic in base 8 (252528) 10946 = Fibonacci number,A000045 Fibonacci numbers Markov numberA002559 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 operationsTaneja Inder Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9 2013 1302.1479 math.HO 10981 = number of reduced trees with 22 nodesA000014 Number of series-reduced trees with n nodes 10990 = weird number 11000 to 11999 11011 = strobogrammatic number 11025 = 1052, the sum of the first 14 positive integer cubes 11083 = palindromic prime in 2 consecutive bases: 23 (KLK23) and 24 (J5J24) 11111 = strobogrammatic number 11297 = number of planar partitions of 16A000219 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 11520 = highly totient numberA097942 Highly totient numbers 11549 = highly cototient number 11550 = sparsely totient 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 numberA000217 Triangular numbersA000384 Hexagonal numbersA000567 Octagonal numbers 11811 = strobogrammatic number 11826 = smallest number whose square is pandigital without zeros 11842 = palindromic in bases 3 (1210201213), 27 (G6G27) and 34 (A8A34) 11953 = palindromic prime in bases 7 (465647) and 30 (D8D30) 11970 = sparsely totient number 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 TestamentRevelation 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 verticesA006785 Number of triangle-free graphs on n vertices 12180 = sparsely totient number 12198 = semi-meandric numberA000682 Semimeanders 12251 = number of primes A007053 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 12390 = sparsely totient number 12407 = cited on QI 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 SequencesInland Revenue http://www.comedy.co.uk/guide/tv/qi/episodes/9/10/ QI QI Host: Stephen Fry; Panellists: Alan Davies, Al Murray, Dara Ó Briain and Sandi Toksvig BBC BBC Two London, England 11 November 2011 I 10 19:55 12421 = palindromic prime 12496 = smallest sociable number 12500 = 22×55A048102 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 https://www.mathsisfun.com/puzzles/most-most-solution.html 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 yksi – kaksi – seitsemän – kuusi – viisi, 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 13579 = contains the first 5 odd numbers in ascending order 13581 = Padovan number 13648 = number of 20-bead necklaces (turning over is allowed) where complements are equivalentA000011 Number of n-bead necklaces (turning over is allowed) where complements are equivalent 13649 = highly cototient number 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 allowedA000013 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 13859 = highly cototient number 13860 = Pell number,A000129 Pell numbers sparsely totient number 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 14264 = sociable number 14280 = sparsely totient number 14288 = sociable number 14316 = sociable number 14341 = palindromic prime 14400 = 1202, the sum of the first 15 positive integers cubes 14490 = sparsely totient number 14536 = sociable number 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 numberA112643 Odd and square-free abundant numbers 15120 = 22nd highly composite number;A002182 - OEIS https://oeis.org/A002182 2024-11-28 oeis.org smallest number with exactly 80 factors 15180 = tetrahedral number 15329 = highly cototient number 15376 = 1242, pentagonal pyramidal number 15387 = Zeisel numberA051015 Zeisel numbers 15451 = palindromic prime 15472 = sociable number 15511 = Motzkin primeA001006 Motzkin numbers 15539 = highly cototient number 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 quadruplesA007530 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 43https://primes.utm.edu/notes/GapsTable.html Table of Known Maximal Gaps Prime Pages) 15661 = Friedman prime 15667 = second nice Friedman prime 15679 = Friedman prime 15723 = perfect totient number 15793 – number of parallelogram polyominoes with 13 cellsA006958 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 15959 = highly cototient number 16000 to 16999 16030 = weird number 16057 = with 16061, 16063, 16067, 16069, and 16073, the following prime sextuplet after {97, 101, 103, 107, 109, 113} 16061 = palindromic prime, It is also the second member of a prime sextuplet set. 16063 = third member of a prime sextuplet set 16067 = fourth member of a prime sextuplet set 16069 = fifth member of a prime sextuplet set 16072 = logarithmic numberA002104 Logarithmic numbers 16073 = completes the third prime sextuplet set 16091 = strobogrammatic primeA007597 Strobogrammatic primes 16169 = highly cototient number 16170 = sparsely totient number 16191 = strobogrammatic number 16206 = square pyramidal number 16269 = octahedral number 16310 = weird number 16361 = palindromic prime 16380 = sparsely totient number 16381 = Friedman prime 16384 = 1282 = 214, palindromic in base 15 16447 = third nice Friedman prime 16561 = palindromic prime 16580 = Leyland numberA076980 Leyland numbers using 2 & 14 (214 + 142) 16587 = betrothed numberA005276 Betrothed (or quasi-amicable) numbers. 16590 = sparsely totient number 16651 = cuban prime 16661 = palindromic prime 16730 = weird number 16759 = Friedman prime 16796 = Catalan numberA000108 Catalan numbers 16807 = 75 16843 = smallest Wolstenholme primeA088164 Wolstenholme primes 16870 = weird number 16879 = Friedman prime 16891 = strobogrammatic number 16896 = pentagonal pyramidal number 16999 = number of partially ordered set with 8 unlabeled elementsA000112 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 17280 = highly totient number 17296 = amicable number with 18416Number Story: From Counting to Cryptography https://archive.org/details/numberstoryfromc00higg_612 limited Higgins Peter 2008 Copernicus New York 978-1-84800-000-1 61 17344 = Kaprekar numberA006886 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 17716 = sociable number 17849 = highly cototient number 17971 = palindromic prime 17977 = number of partitions of 36 17990 = weird number 17991 = Padovan number 18000 to 18999 18010 = octahedral number 18081 = strobogrammatic 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). 18479 = highly cototient number 18480 = sparsely totient number 18481 = palindromic prime 18496 = 1362, the sum of the first 16 positive integers cubes 18600: harmonic divisor numberA001599 Harmonic or Ore numbers initial number of first century xx00 to xx99 containing as few as six prime numbersA186311 Least century 100k to 100k+99 with exactly n primes {18617, 18637, 18661, 18671, 18679, 18691} 18620 = harmonic divisor number 18785 = Leyland number using 4 & 7 (47 + 74) 18800 = initial number of first century xx00 to xx99 containing as few as five prime numbers {18803, 18839, 18859, 18869, 18899} 18830 = weird number 18881 = strobogrammatic number 18970 = weird number 19000 to 19999 19019 = square pyramidal number 19061 = strobogrammatic number 19110 = sparsely totient number 19116 = sociable number 19141 = unique prime in base 12 19161 = strobogrammatic number 19302 = number of ways to partition {1,2,3,4,5,6,7} and then partition each cell (block) into subcellsA000258 Expansion of e.g.f. exp(exp(exp(x)-1)-1) 19320 = number of trees with 16 unlabeled nodes,A000055 Number of trees with n unlabeled nodes sparsely totient number 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.https://www.mathsisfun.com/puzzles/algebra-logic-2-solution.htmlsolution Algebra LOGIC 2 Puzzle - Solution It is also a perfect totient number. 19729 is the number of digits in (Tetration) 19739 = fourth nice Friedman prime 19861 = strobogrammatic prime 19871 = octahedral number 19891 = palindromic prime 19916 = sociable number 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 Mathematics Notes "notes" References External links ten thousand 10 10000