10,000

This article is about the natural number (and other integers between 10,000 and 19,999). For other uses, see 10,000 (disambiguation).

← 9999 10000 10001 →
List of numbers Integers ← 0 10k 20k 30k 40k 50k 60k 70k 80k 90k →
Cardinal	ten thousand
Ordinal	10000th (ten thousandth)
Numeral system	decamillesimal
Factorization	24 × 54
Divisors	25 total
Greek numeral	${\displaystyle {\stackrel {\alpha }{\mathrm {M} }}}$
Roman numeral	X
Unicode symbol(s)	X, ↂ
Greek prefix	myria-
Latin prefix	decamilli-
Binary	100111000100002
Ternary	1112011013
Senary	1141446
Octal	234208
Duodecimal	595412
Hexadecimal	271016
Chinese numeral	万, 萬
Armenian	Օ
Egyptian hieroglyph	𓂭

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 μύριοι (the etymological root of the word myriad in English), in Aramaic ܪܒܘܬܐ, in Hebrew רבבה [revava], in Chinese 萬/万 (Mandarin wàn, Cantonese maan6, Hokkien bān), in Japanese 万/萬 [man], in Khmer ម៉ឺន [meun], in Korean 만/萬 [man], in Russian тьма [t'ma], in Vietnamese vạn, in Sanskrit अयुत [ayuta], in Thai หมื่น [meun], in Malayalam പതിനായിരം [patinayiram], and in Malagasy alina. ^[1] In many of these languages, it often denotes a very large but indefinite number. ^[2]

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 ]} This Greek root was used in early versions of the metric system in the form of the decimal prefix myria-. ^[3]

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. ^[4]

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). ^[5]

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. ^{[6] [7]}

There are a total of 1,229 prime numbers less than ten thousand, a count that is itself prime. ^{[5] [8]}

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. ^[9]

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. ^[10]
• 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. ^{[11] [12]}
• 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. ^[13]
  • 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. ^[14]
  • Valley of Ten Thousand Smokes in Alaska.
• In physics,
  • Myria- (and myrio-) ^{[15] [16] [17]} 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

• In films,
  • 10,000 Black Men Named George (2002, TV).
  • The Phantom from 10,000 Leagues (1956).
  • Vietnam: The Ten Thousand Day War (1980, mini).
• 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.
  • Ten Thousand Men of Harvard is a fight song of Harvard University.
  • 10,000 Reasons (album) is a 2013 Christian album by Matt Redman.
  • "10,000 Reasons (Bless the Lord)" is a 2013 single by Matt Redman.
  • 10,000 Promises. is a Japanese pop group.
  • "Ten Thousand Strong" is a song by American power metal band Iced Earth.
  • 10,000 Gecs is the title of the second studio album by American experimental duo 100 gecs.

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. ^[18] The first issue had an image of former Iraqi president Saddam Hussein and the Spiral Minaret - Al-Minārat Al-Malwiyyah in Samarra. ^[19]
  • 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 π 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. ^[20]
• 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. ^[21]
  • 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,
  • 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. ^[22]
  • 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. ^[23]
• 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. ^[24]
• In religion,
  • The Bible,
    • has 52 references to ten thousand in the King James Version. ^[25]
    • 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. ^[26]
  • hymn, Ten thousand times ten thousand. ^[27]
  • The Ten thousand martyrs. ^[28]
• 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. ^[29]
  • 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.
• 10080 = highly composite number; ^[30] number of minutes in a week.
• 10111 = palindromic prime in bases 3 (111212111₃) and 27 (DND₂₇).
• 10143 = number of partitions of 33 ^[31]
• 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. ^[32]
• 10201 = 101², palindromic square (in the decimal system)
• 10206 = pentagonal pyramidal number. ^[33]
• 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. ^[34]
• 10252 = Padovan number. ^[35]
• 10267 = cuban prime. ^[36]
• 10301 = palindromic prime in bases 10 (10301₁₀), 27 (E3E₂₇), 30 (BDB₃₀) and 44 (5E5₄₄).
• 10333 = star prime, ^[37] 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. ^[38]
• 10425 = octahedral number. ^[39]
• 10430 = weird number. ^[40]
• 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) ^[41] 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. ^[40]
• 10585 = Carmichael number. ^[42]
• 10601 = palindromic prime in bases 10 (10601₁₀) ^[41] and 30 (BNB₃₀).
• 10609 = 103², tribonacci number. ^[43]
• 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. ^[44]
• 10671 = tetranacci number. ^[45]
• 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. ^[40]
• 10800 = number of bricks used for the uttaravedi in the Agnicayana ritual.
• 10837 = star prime. ^[37]
• 10856 = amicable number with 10744.
• 10905 = Wedderburn–Etherington number ^[46]
• 10922 = repdigit in base 4 (2222222₄), and palindromic in base 8 (25252₈).
• 10946 = Fibonacci number, ^[47] Markov number. ^[48]
• 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. ^[49]
• 10981 = number of reduced trees with 22 nodes ^[50]
• 10989 = reverses when multiplied by 9.
• 10990 = weird number. ^[40]

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 ^[51]
• 11297 = Number of planar partitions of 16 ^[52]
• 11298 = Riordan number
• 11311 = palindromic prime in decimal. ^[41]
• 11340 = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16.
• 11353 = star prime. ^[37]
• 11368 = pentagonal pyramidal number ^[33]
• 11410 = weird number. ^[40]
• 11411 = palindromic prime in decimal. ^[41]
• 11424 = Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16.
• 11440 = square pyramidal number. ^[38]
• 11480 = tetrahedral number. ^[44]
• 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. ^[40]
• 11717 = twin prime with 11719.
• 11719 = cuban prime, ^[36] twin prime with 11717.
• 11726 = octahedral number. ^[39]
• 11781 = Triangular number, Hexagonal number, Octagonal number, and also 58-gonal, 216-gonal, 329-gonal, 787-gonal and 3928-gonal number. ^{[53] [54] [55]}
• 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. ^[56]
• 12048 = number of non-isomorphic set-systems of weight 12.
• 12097 = cuban prime. ^[36]
• 12101 = Friedman prime.
• 12107 = Friedman prime.
• 12109 = Friedman prime.
• 12110 = weird number. ^[40]
• 12167 = 23³
• 12172 = number of triangle-free graphs on 10 vertices ^[57]
• 12198 = semi-meandric number ^[58]
• 12251 = number of primes ${\displaystyle \leq 2^{17}}$. ^[59]
• 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 ^[31]
• 12321 = 111², Demlo number, palindromic square.
• 12341 = tetrahedral number. ^[44]
• 12345 = smallest whole number containing all numbers from 1 to 5
• 12407 = cited on Q.I. as the smallest uninteresting positive integer regarding arithmetical mathematics. ^{[notes 1] [60]}
• 12421 = palindromic prime. ^[41]
• 12496 = smallest sociable number.
• 12500 = 2²×5^{5 [61]}
• 12529 = square pyramidal number. ^[38]
• 12530 = weird number. ^[40]
• 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 ^[62]
• 12670 = weird number. ^[40]
• 12721 = palindromic prime. ^[41]
• 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. ^[41]

13000 to 13999

• 13122 = 3-smooth number. (2×3⁸).
• 13131 = octahedral number. ^[39]
• 13244 = tetrahedral number. ^[44]
• 13267 = cuban prime. ^[36]
• 13331 = palindromic prime. ^[41]
• 13370 = weird number. ^[40]
• 13510 = weird number. ^[40]
• 13581 = Padovan number. ^[35]
• 13648 = number of 20-bead necklaces (turning over is allowed) where complements are equivalent ^[63]
• 13669 = cuban prime. ^[36]
• 13685 = square pyramidal number. ^[38]
• 13790 = weird number. ^[40]
• 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 ^[64]
• 13820 = meandric number, open meandric number.
• 13824 = 24³
• 13831 = palindromic prime. ^[41]
• 13860 = Pell number. ^[65]
• 13930 = weird number. ^[40]
• 13931 = palindromic prime.
• 13950 = pentagonal pyramidal number. ^[33]

14000 to 14999

• 14190 = tetrahedral number. ^[44]
• 14200 = number of n-Queens Problem solutions for n – 12.
• 14341 = palindromic prime. ^[41]
• 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. ^[39]
• 14701 = Markov number. ^[48]
• 14741 = palindromic prime. ^[41]
• 14770 = weird number. ^[40]
• 14883 = number of partitions of 35 ^[31]
• 14884 = 122², palindromic square in base 11.
• 14910 = square pyramidal number. ^[38]

15000 to 15999

• 15015 = smallest odd and square-free abundant number. ^[66]
• 15120 = highly composite number; smallest number with exactly 80 factors. ^[30]
• 15180 = tetrahedral number. ^[44]
• 15376 = 124², pentagonal pyramidal number. ^[33]
• 15387 = Zeisel number. ^[67]
• 15451 = palindromic prime. ^[41]
• 15511 = Motzkin prime. ^[68]
• 15551 = palindromic prime. ^[41]
• 15552 = 3-smooth number (2⁶×3⁵).
• 15610 = weird number. ^[40]
• 15625 = 125² = 25³ = 5⁶
• 15629 = Friedman prime.
• 15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples ^[69] (in between which lies a record prime gap of 43 ^[70] ).
• 15661 = Friedman prime.
• 15667 = second nice Friedman prime.
• 15679 = Friedman prime.
• 15793 – Number of parallelogram polyominoes with 13 cells. ^[71]
• 15841 = Carmichael number. ^[42]
• 15876 = 126², palindromic square in base 5.
• 15890 = weird number. ^[40]

16000 to 16999

• 16030 = weird number. ^[40]
• 16057 = the following prime sextuplet after 97, 16061, 16063, 16067, 16069, and 16073.
• 16061 = palindromic prime. ^[41]
• 16072 = logarithmic number. ^[72]
• 16091 = strobogrammatic prime. ^[73]
• 16206 = square pyramidal number. ^[38]
• 16269 = octahedral number. ^[39]
• 16310 = weird number. ^[40]
• 16361 = palindromic prime. ^[41]
• 16381 = Friedman prime.
• 16384 = 128² = 2¹⁴, palindromic in base 15.
• 16447 = third nice Friedman prime.
• 16561 = palindromic prime. ^[41]
• 16580 = Leyland number. ^[74]
• 16651 = cuban prime. ^[36]
• 16661 = palindromic prime. ^[41]
• 16730 = weird number. ^[40]
• 16759 = Friedman prime.
• 16796 = Catalan number. ^[75]
• 16807 = 7⁵
• 16843 = smallest Wolstenholme prime. ^[76]
• 16870 = weird number. ^[40]
• 16879 = Friedman prime.
• 16896 = pentagonal pyramidal number. ^[33]
• 16999 = number of partially ordered set with 8 unlabeled elements. ^[77]

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. ^[40]
• 17296 = amicable number with 18416. ^[78]
• 17344 = Kaprekar number. ^[79]
• 17389 = 2000th prime number.
• 17471 = palindromic prime. ^[41]
• 17496 = 3-smooth number (2³×3⁷)
• 17570 = weird number. ^[40]
• 17575 = square pyramidal number. ^[38]
• 17576 = 26³, palindromic in base 5.
• 17689 = 133², palindromic in base 11.
• 17711 = Fibonacci number. ^[47]
• 17971 = palindromic prime. ^[41]
• 17977 = number of partitions of 36 ^[31]
• 17990 = weird number. ^[40]
• 17991 = Padovan number. ^[35]

18000 to 18999

• 18010 = octahedral number. ^[39]
• 18181 = palindromic prime, ^[41] strobogrammatic prime. ^[73]
• 18334 = number of planar partitions of 17 ^[52]
• 18410 = weird number. ^[40]
• 18416 = amicable number with 17296. ^[80]
• 18432 = 3-smooth number (2¹¹×3²).
• 18481 = palindromic prime. ^[41]
• 18496 = 136², the sum of the first 16 positive integers cubes.
• 18600 = harmonic divisor number. ^[81]
• 18620 = harmonic divisor number. ^[81]
• 18785 = Leyland number. ^[74]
• 18830 = weird number. ^[40]
• 18970 = weird number. ^[40]

19000 to 19999

• 19019 = square pyramidal number. ^[38]
• 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. ^[82]
• 19320 = number of trees with 16 unlabeled nodes ^[83]
• 19390 = weird number. ^[40]
• 19391 = palindromic prime. ^[41]
• 19417 = prime sextuplet, along with 19421, 19423, 19427, 19429, and 19433.
• 19441 = cuban prime. ^[36]
• 19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers.
• 19513 = tribonacci number. ^[43]
• 19531 = repunit prime in base 5.
• 19600 = 140², tetrahedral number.
• 19601/13860 ≈ √2
• 19609 = first prime followed by a prime gap of over fifty. ^[70]
• 19670 = weird number. ^[40]
• 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. ^[84]
• 19729 is the number of digits in ${\displaystyle 2\uparrow \uparrow 5}$(Tetration)
• 19739 = fourth nice Friedman prime.
• 19871 = octahedral number. ^[39]
• 19891 = palindromic prime. ^[41]
• 19927 = cuban prime. ^[36]
• 19991 = palindromic prime. ^[41]

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

• Mathematicsportal
• 10,000 (disambiguation)

Notes

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

References

1. "Malagasy Dictionary and Madagascar Encyclopedia : Alina".
2. "Myriad Definition & Meaning - Merriam-Webster". Merriam-Webster's Online Dictionary. 13 March 2024.
3. Baldwin, James (1885). "Notes on Teaching History". Educational Weekly. 5 (2): 4–5. ISSN   2475-3262. JSTOR   44009109.
4. "Decimal and Thousands Separators (International Language Environments Guide)". oracle.com.
5. Sloane, N. J. A. (ed.). "SequenceA006880(Number of primes less than 10^n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
6. Sloane, N. J. A. (ed.). "SequenceA002322(Reduced totient function)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
7. Sloane, N. J. A. (ed.). "SequenceA000010(Euler totient function)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
8. Sloane, N. J. A. (ed.). "SequenceA000040(The prime numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. See "Table of n, prime(n) for n = 1..10000" under "Links".
9. John Horton Conway; Heidi Burgiel; Chaim Goodman-Strauss (2008). The Symmetries of Things. A K Peters/CRC Press. ISBN   978-1-56881-220-5. Chapter 20.
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30. Sloane, N. J. A. (ed.). "SequenceA002182(Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
31. Sloane, N. J. A. (ed.). "SequenceA000041(a(n) is the number of partitions of n (the partition numbers))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
32. Sloane, N. J. A. (ed.). "SequenceA273987(Smallest Riesel number to base n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
33. Sloane, N. J. A. (ed.). "SequenceA002411(Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
34. Sloane, N. J. A. (ed.). "SequenceA003261(Woodall (or Riesel) numbers: n*2^n - 1)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
35. Sloane, N. J. A. (ed.). "SequenceA000931(Padovan sequence)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
36. Sloane, N. J. A. (ed.). "SequenceA002407(Cuban primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
37. Sloane, N. J. A. (ed.). "SequenceA083577(Prime star numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
38. Sloane, N. J. A. (ed.). "SequenceA000330(Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
39. Sloane, N. J. A. (ed.). "SequenceA005900(Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
40. Sloane, N. J. A. (ed.). "SequenceA006037(Weird numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
41. Sloane, N. J. A. (ed.). "SequenceA002385(Palindromic primes: prime numbers whose decimal expansion is a palindrome)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
42. Sloane, N. J. A. (ed.). "SequenceA002997(Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
43. Sloane, N. J. A. (ed.). "SequenceA000073(Tribonacci numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
44. Sloane, N. J. A. (ed.). "SequenceA000292(Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
45. Sloane, N. J. A. (ed.). "SequenceA000078(Tetranacci numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
46. Sloane, N. J. A. (ed.). "SequenceA001190(Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
47. Sloane, N. J. A. (ed.). "SequenceA000045(Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
48. Sloane, N. J. A. (ed.). "SequenceA002559(Markoff (or Markov) numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
49. Taneja, Inder (2013). "Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9". arXiv: 1302.1479 [math.HO].
50. Sloane, N. J. A. (ed.). "SequenceA000014(Number of series-reduced trees with n nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
51. Sloane, N. J. A. (ed.). "SequenceA002275(Repunits: (10^n - 1)/9. Often denoted by R_n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
52. Sloane, N. J. A. (ed.). "SequenceA000219(Number of planar partitions (or plane partitions) of n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
53. Sloane, N. J. A. (ed.). "SequenceA000217(Triangular numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
54. Sloane, N. J. A. (ed.). "SequenceA000384(Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
55. Sloane, N. J. A. (ed.). "SequenceA000567(Octagonal numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
56. Revelation 7:4–8
57. Sloane, N. J. A. (ed.). "SequenceA006785(Number of triangle-free graphs on n vertices)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
58. Sloane, N. J. A. (ed.). "SequenceA000682(Semimeanders)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
59. Sloane, N. J. A. (ed.). "SequenceA007053(Number of primes <= 2^n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
60. 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.
61. Sloane, N. J. A. (ed.). "SequenceA048102(Numbers k such that if k equals Product p_i^e_i then p_i equals e_i for all i)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
62. "MOST+MOST Puzzle - Solution".
63. Sloane, N. J. A. (ed.). "SequenceA000011(Number of n-bead necklaces (turning over is allowed) where complements are equivalent)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
64. Sloane, N. J. A. (ed.). "SequenceA000013(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)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
65. Sloane, N. J. A. (ed.). "SequenceA000129(Pell numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
66. Sloane, N. J. A. (ed.). "SequenceA112643(Odd and square-free abundant numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
67. Sloane, N. J. A. (ed.). "SequenceA051015(Zeisel numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
68. Sloane, N. J. A. (ed.). "SequenceA001006(Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
69. Sloane, N. J. A. (ed.). "SequenceA007530(Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
70. "Table of Known Maximal Gaps". Prime Pages.
71. Sloane, N. J. A. (ed.). "SequenceA006958(Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
72. Sloane, N. J. A. (ed.). "SequenceA002104(Logarithmic numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
73. Sloane, N. J. A. (ed.). "SequenceA007597(Strobogrammatic primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
74. Sloane, N. J. A. (ed.). "SequenceA076980(Leyland numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
75. Sloane, N. J. A. (ed.). "SequenceA000108(Catalan numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
76. Sloane, N. J. A. (ed.). "SequenceA088164(Wolstenholme primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
77. Sloane, N. J. A. (ed.). "SequenceA000112(Number of partially ordered sets (posets) with n unlabeled elements)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
78. Higgins, Peter (2008). Number Story: From Counting to Cryptography . New York: Copernicus. p.  61. ISBN   978-1-84800-000-1.
79. Sloane, N. J. A. (ed.). "SequenceA006886(Kaprekar numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
80. Higgins, ibid.
81. Sloane, N. J. A. (ed.). "SequenceA001599(Harmonic or Ore numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
82. Sloane, N. J. A. (ed.). "SequenceA000258(Expansion of e.g.f. exp(exp(exp(x)-1)-1))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
83. Sloane, N. J. A. (ed.). "SequenceA000055(Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
84. "Algebra LOGIC 2 Puzzle - Solution".