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10,000 - Wikipedia

From Wikipedia, the free encyclopedia

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

.

Natural number

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

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 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 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.

• 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 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 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.

• 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;^[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]

• 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 = 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 ≤ 2 17 {\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]

• 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]

• 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]

• 15015 = smallest odd and square-free abundant number^[66]
• 15120 = 22nd highly composite number;^[67] smallest number with exactly 80 factors^[30]
• 15180 = tetrahedral number^[44]
• 15376 = 124², pentagonal pyramidal number^[33]
• 15387 = Zeisel number^[68]
• 15451 = palindromic prime^[41]
• 15511 = Motzkin prime^[69]
• 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^[70] (in between which lies a record prime gap of 43^[71])
• 15661 = Friedman prime
• 15667 = second nice Friedman prime
• 15679 = Friedman prime
• 15793 – Number of parallelogram polyominoes with 13 cells^[72]
• 15841 = Carmichael number^[42]
• 15876 = 126², palindromic square in base 5
• 15890 = weird number^[40]

• 16030 = weird number^[40]
• 16057 = the following prime sextuplet after 97, 16061, 16063, 16067, 16069, and 16073
• 16061 = palindromic prime^[41]
• 16072 = logarithmic number^[73]
• 16091 = strobogrammatic prime^[74]
• 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^[75] using 2 & 14 (2¹⁴ + 14²)
• 16651 = cuban prime^[36]
• 16661 = palindromic prime^[41]
• 16730 = weird number^[40]
• 16759 = Friedman prime
• 16796 = Catalan number^[76]
• 16807 = 7⁵
• 16843 = smallest Wolstenholme prime^[77]
• 16870 = weird number^[40]
• 16879 = Friedman prime
• 16896 = pentagonal pyramidal number^[33]
• 16999 = number of partially ordered set with 8 unlabeled elements^[78]

• 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^[79]
• 17344 = Kaprekar number^[80]
• 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]

• 18010 = octahedral number^[39]
• 18181 = palindromic prime,^[41] strobogrammatic prime^[74]
• 18334 = number of planar partitions of 17^[52]
• 18410 = weird number^[40]
• 18416 = amicable number with 17296^[81]
• 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^[82]
• 18620 = harmonic divisor number^[82]
• 18785 = Leyland number^[75] using 4 & 7 (4⁷ + 4⁷)
• 18830 = weird number^[40]
• 18970 = weird number^[40]

• 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^[83]
• 19320 = number of trees with 16 unlabeled nodes^[84]
• 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^[71]
• 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.^[85]
• 19729 is the number of digits in 2 ↑↑ 5 {\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]

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).

• Mathematics portal
• 10,000 (disambiguation)

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.
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19. ^ http://www.iraqsales.com/10%2C000.htm Archived 2005-02-06 at the Wayback Machine
20. ^ Brand, Stewart. "The 10,000-Year Library". kurzweilai.net. Archived from the original on 2005-02-05. Retrieved 2022-08-04.
21. ^ "Army of 10,000". mississippiscv.org. Archived from the original on 2002-04-01. Retrieved 2022-08-04.
22. ^ "University of Michigan Digital Library - Login Options".
23. ^ "Tao Te Ching, Verse 34". thebigview.com. Archived from the original on 2007-08-17. Retrieved 2022-08-04.
24. ^ https://www.gutenberg.org/ebooks/926 : Ten Thousand Dreams Interpreted
25. ^ http://bible.gospelcom.net/keyword/?search=ten%20thousand&version1=9&searchtype=phrase&wholewordsonly=yes , [1]
26. ^ (KJV) The Apocalypse of John
27. ^ [2]^{[dead link]}
28. ^ The Catholic Encyclopedia
29. ^ Ulmer, Jeanne. "Minnesota Cycling Team –Tour of 10,000 Lakes". tourof10000lakes.net. Archived from the original on 2005-02-21. Retrieved 2022-08-04.
30. ^ ^{a b} Sloane, N. J. A. (ed.). "Sequence A002182 (Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
31. ^ ^{a b c d} Sloane, N. J. A. (ed.). "Sequence A000041 (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.). "Sequence A273987 (Smallest Riesel number to base n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
33. ^ ^{a b c d e} Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
34. ^ Sloane, N. J. A. (ed.). "Sequence A003261 (Woodall (or Riesel) numbers: n*2^n - 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
35. ^ ^{a b c} Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
36. ^ ^{a b c d e f g h} Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
37. ^ ^{a b c} Sloane, N. J. A. (ed.). "Sequence A083577 (Prime star numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
38. ^ ^{a b c d e f g h} Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
39. ^ ^{a b c d e f g} Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
40. ^ ^{a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab} Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
41. ^ ^{a b c d e f g h i j k l m n o p q r s t u v w x} Sloane, N. J. A. (ed.). "Sequence A002385 (Palindromic primes: prime numbers whose decimal expansion is a palindrome)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
42. ^ ^{a b} Sloane, N. J. A. (ed.). "Sequence A002997 (Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
43. ^ ^{a b} Sloane, N. J. A. (ed.). "Sequence A000073 (Tribonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
44. ^ ^{a b c d e f} Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
45. ^ Sloane, N. J. A. (ed.). "Sequence A000078 (Tetranacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
46. ^ Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
47. ^ ^{a b} Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
48. ^ ^{a b} Sloane, N. J. A. (ed.). "Sequence A002559 (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.). "Sequence A000014 (Number of series-reduced trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
51. ^ Sloane, N. J. A. (ed.). "Sequence A002275 (Repunits: (10^n - 1)/9. Often denoted by R_n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
52. ^ ^{a b} Sloane, N. J. A. (ed.). "Sequence A000219 (Number of planar partitions (or plane partitions) of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
53. ^ Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
54. ^ Sloane, N. J. A. (ed.). "Sequence A000384 (Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
55. ^ Sloane, N. J. A. (ed.). "Sequence A000567 (Octagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
56. ^ Revelation 7:4–8
57. ^ Sloane, N. J. A. (ed.). "Sequence A006785 (Number of triangle-free graphs on n vertices)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
58. ^ Sloane, N. J. A. (ed.). "Sequence A000682 (Semimeanders)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
59. ^ Sloane, N. J. A. (ed.). "Sequence A007053 (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.). "Sequence A048102 (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.). "Sequence A000011 (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.). "Sequence 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)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
65. ^ Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
66. ^ Sloane, N. J. A. (ed.). "Sequence A112643 (Odd and square-free abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
67. ^ "A002182 - OEIS". oeis.org. Retrieved 2024-11-28.
68. ^ Sloane, N. J. A. (ed.). "Sequence A051015 (Zeisel numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
69. ^ Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
70. ^ Sloane, N. J. A. (ed.). "Sequence A007530 (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.
71. ^ ^{a b} "Table of Known Maximal Gaps". Prime Pages.
72. ^ Sloane, N. J. A. (ed.). "Sequence A006958 (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.
73. ^ Sloane, N. J. A. (ed.). "Sequence A002104 (Logarithmic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
74. ^ ^{a b} Sloane, N. J. A. (ed.). "Sequence A007597 (Strobogrammatic primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
75. ^ ^{a b} Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
76. ^ Sloane, N. J. A. (ed.). "Sequence A000108 (Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
77. ^ Sloane, N. J. A. (ed.). "Sequence A088164 (Wolstenholme primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
78. ^ Sloane, N. J. A. (ed.). "Sequence A000112 (Number of partially ordered sets (posets) with n unlabeled elements)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
79. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1.
80. ^ Sloane, N. J. A. (ed.). "Sequence A006886 (Kaprekar numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
81. ^ Higgins, ibid.
82. ^ ^{a b} Sloane, N. J. A. (ed.). "Sequence A001599 (Harmonic or Ore numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
83. ^ Sloane, N. J. A. (ed.). "Sequence A000258 (Expansion of e.g.f. exp(exp(exp(x)-1)-1))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
84. ^ Sloane, N. J. A. (ed.). "Sequence A000055 (Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
85. ^ "Algebra LOGIC 2 Puzzle - Solution".

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  • 1089
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  • 1234
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• 10,000
  • 16,807
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  • 64,079
  • 65,535
  • 65,536
  • 65,537
• 70,000
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• 90,000

• 100,000
  • 142,857
  • 144,000
• 1,000,000
• 10,000,000
  • 43,112,609
• 100,000,000
• 1,000,000,000
  • 2,147,483,647
  • 4,294,967,295
• 10,000,000,000
• 100,000,000,000

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