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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. 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 10,000.⁶⁷

There are a total of 1,229 prime numbers less than ten thousand, a count that is itself prime.⁸⁹

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.¹⁰

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.¹¹
• 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.¹²¹³
• 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.¹⁴
  • 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.¹⁵
  • Valley of Ten Thousand Smokes in Alaska.
• In physics,
  • Myria- (and myrio-)¹⁶¹⁷¹⁸ 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.¹⁹ The first issue had an image of former Iraqi president Saddam Hussein and the Spiral Minaret - Al-Minārat Al-Malwiyyah in Samarra.²⁰
  • 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.²¹
• 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, 1861–1862.²²
  • 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.²³
  • 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.²⁴
• 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.²⁵
• In religion,
  • The Bible,
    • has 52 references to ten thousand in the King James Version.²⁶
    • 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.²⁷
  • hymn, Ten thousand times ten thousand.²⁸
  • The Ten thousand martyrs.²⁹
• 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.³⁰
  • In baseball, on July 15, 2007, the Philadelphia Phillies became the first team in American professional sports history to lose 10,000 games.

Selected numbers in the range 10001-19999

10001 to 10999

• 10007 = smallest five-digit prime number, twin prime with 10009
• 10008 = palindromic in bases 5 (3100135), 22 (KEK22), 28 (CLC28) and 33 (96933) and a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 10, 13, 14 and 16
• 10009 = twin prime with 10007
• 10018 = centered heptagonal number
• 10080 = 21st highly composite number;³¹ number of minutes in a week
• 10111 = palindromic prime in bases 3 (1112121113) and 27 (DND27)
• 10143 = number of partitions of 33³²
• 10176 = smallest (provable) generalized Riesel number in base 10: 10176*10n-1 is always divisible by one of the prime numbers {7, 11, 13, 37³³
• 10201 = 1012, palindromic square (in the decimal system)
• 10206 = pentagonal pyramidal number³⁴
• 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 number³⁵
• 10252 = Padovan number³⁶
• 10267 = cuban prime³⁷
• 10301 = palindromic prime in bases 10 (1030110), 27 (E3E27), 30 (BDB30) and 44 (5E544)
• 10333 = star prime,³⁸ palindromic in bases 9 (151519), 31 (ANA31) and 35 (8F835)
• 10368 = 3-smooth number (27×34)
• 10395 = double factorial of 11
• 10416 = square pyramidal number³⁹
• 10425 = octahedral number⁴⁰
• 10430 = weird number⁴¹
• 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)⁴² 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 number⁴³
• 10585 = Carmichael number⁴⁴
• 10601 = palindromic prime in bases 10 (1060110)⁴⁵ and 30 (BNB30)
• 10609 = 1032, tribonacci number⁴⁶
• 10631 = palindromic prime in base 30 (BOB30)
• 10646 = ISO 10646 is the standard for Unicode
• 10648 = 223, the smallest 5-digit cube
• 10660 = tetrahedral number⁴⁷
• 10671 = tetranacci number⁴⁸
• 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 number⁴⁹
• 10800 = number of bricks used for the uttaravedi in the Agnicayana ritual
• 10837 = star prime⁵⁰
• 10856 = amicable number with 10744
• 10905 = Wedderburn–Etherington number⁵¹
• 10922 = repdigit in base 4 (22222224), and palindromic in base 8 (252528)
• 10946 = Fibonacci number,⁵² Markov number⁵³
• 10958 = the smallest positive integer that cannot be represented by an equation using increasing order of integers from 1 to 9 and basic arithmetic operations⁵⁴
• 10981 = number of reduced trees with 22 nodes⁵⁵
• 10989 = reverses when multiplied by 9
• 10990 = weird number⁵⁶

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 = Repunit⁵⁷
• 11297 = Number of planar partitions of 16⁵⁸
• 11298 = Riordan number
• 11311 = palindromic prime in decimal⁵⁹
• 11340 = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
• 11353 = star prime⁶⁰
• 11368 = pentagonal pyramidal number⁶¹
• 11410 = weird number⁶²
• 11411 = palindromic prime in decimal⁶³
• 11424 = Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
• 11440 = square pyramidal number⁶⁴
• 11480 = tetrahedral number⁶⁵
• 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 number⁶⁶
• 11717 = twin prime with 11719
• 11719 = cuban prime,⁶⁷ twin prime with 11717
• 11726 = octahedral number⁶⁸
• 11781 = triangular number, hexagonal number, octagonal number, and also 58-gonal, 216-gonal, 329-gonal, 787-gonal and 3928-gonal number⁶⁹⁷⁰⁷¹
• 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 Testament⁷²
• 12048 = number of non-isomorphic set-systems of weight 12
• 12097 = cuban prime⁷³
• 12101 = Friedman prime
• 12107 = Friedman prime
• 12109 = Friedman prime
• 12110 = weird number⁷⁴
• 12167 = 233
• 12172 = number of triangle-free graphs on 10 vertices⁷⁵
• 12198 = semi-meandric number⁷⁶
• 12251 = number of primes ≤ 2 17 {\displaystyle \leq 2^{17}} ⁷⁷
• 12285 = amicable number with 14595
• 12287 = Thabit number
• 12288 = 3-smooth number (212×3).
• 12289 = Proth prime, Pierpont prime
• 12310 = number of partitions of 34⁷⁸
• 12321 = 1112, Demlo number, palindromic square
• 12341 = tetrahedral number⁷⁹
• 12345 = smallest whole number containing all numbers from 1 to 5
• 12407 = cited on Q.I. as the smallest uninteresting positive integer regarding arithmetical mathematics⁸⁰⁸¹
• 12421 = palindromic prime⁸²
• 12496 = smallest sociable number
• 12500 = 22×55⁸³
• 12529 = square pyramidal number⁸⁴
• 12530 = weird number⁸⁵
• 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 ⁸⁶
• 12670 = weird number⁸⁷
• 12721 = palindromic prime⁸⁸
• 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 prime⁸⁹

13000 to 13999

• 13122 = 3-smooth number (2×38).
• 13131 = octahedral number⁹⁰
• 13244 = tetrahedral number⁹¹
• 13267 = cuban prime⁹²
• 13331 = palindromic prime⁹³
• 13370 = weird number⁹⁴
• 13510 = weird number⁹⁵
• 13581 = Padovan number⁹⁶
• 13648 = number of 20-bead necklaces (turning over is allowed) where complements are equivalent⁹⁷
• 13669 = cuban prime⁹⁸
• 13685 = square pyramidal number⁹⁹
• 13790 = weird number¹⁰⁰
• 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 allowed¹⁰¹
• 13820 = meandric number, open meandric number
• 13824 = 243
• 13831 = palindromic prime¹⁰²
• 13860 = Pell number¹⁰³
• 13930 = weird number¹⁰⁴
• 13931 = palindromic prime
• 13950 = pentagonal pyramidal number¹⁰⁵

14000 to 14999

• 14190 = tetrahedral number¹⁰⁶
• 14200 = number of n-Queens Problem solutions for n – 12
• 14341 = palindromic prime¹⁰⁷
• 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 number¹⁰⁸
• 14701 = Markov number¹⁰⁹
• 14741 = palindromic prime¹¹⁰
• 14770 = weird number¹¹¹
• 14883 = number of partitions of 35¹¹²
• 14884 = 1222, palindromic square in base 11
• 14910 = square pyramidal number¹¹³

15000 to 15999

• 15015 = smallest odd and square-free abundant number¹¹⁴
• 15120 = 22nd highly composite number;¹¹⁵ smallest number with exactly 80 factors¹¹⁶
• 15180 = tetrahedral number¹¹⁷
• 15376 = 1242, pentagonal pyramidal number¹¹⁸
• 15387 = Zeisel number¹¹⁹
• 15451 = palindromic prime¹²⁰
• 15511 = Motzkin prime¹²¹
• 15551 = palindromic prime¹²²
• 15552 = 3-smooth number (26×35)
• 15610 = weird number¹²³
• 15625 = 1252 = 253 = 56
• 15629 = Friedman prime
• 15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples¹²⁴ (in between which lies a record prime gap of 43¹²⁵)
• 15661 = Friedman prime
• 15667 = second nice Friedman prime
• 15679 = Friedman prime
• 15793 – Number of parallelogram polyominoes with 13 cells¹²⁶
• 15841 = Carmichael number¹²⁷
• 15876 = 1262, palindromic square in base 5
• 15890 = weird number¹²⁸

16000 to 16999

• 16030 = weird number¹²⁹
• 16057 = the following prime sextuplet after 97, 16061, 16063, 16067, 16069, and 16073
• 16061 = palindromic prime¹³⁰
• 16072 = logarithmic number¹³¹
• 16091 = strobogrammatic prime¹³²
• 16206 = square pyramidal number¹³³
• 16269 = octahedral number¹³⁴
• 16310 = weird number¹³⁵
• 16361 = palindromic prime¹³⁶
• 16381 = Friedman prime
• 16384 = 1282 = 214, palindromic in base 15
• 16447 = third nice Friedman prime
• 16561 = palindromic prime¹³⁷
• 16580 = Leyland number¹³⁸ using 2 & 14 (214 + 142)
• 16651 = cuban prime¹³⁹
• 16661 = palindromic prime¹⁴⁰
• 16730 = weird number¹⁴¹
• 16759 = Friedman prime
• 16796 = Catalan number¹⁴²
• 16807 = 75
• 16843 = smallest Wolstenholme prime¹⁴³
• 16870 = weird number¹⁴⁴
• 16879 = Friedman prime
• 16896 = pentagonal pyramidal number¹⁴⁵
• 16999 = number of partially ordered set with 8 unlabeled elements¹⁴⁶

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 number¹⁴⁷
• 17296 = amicable number with 18416¹⁴⁸
• 17344 = Kaprekar number¹⁴⁹
• 17389 = 2000th prime number
• 17471 = palindromic prime¹⁵⁰
• 17496 = 3-smooth number (23×37)
• 17570 = weird number¹⁵¹
• 17575 = square pyramidal number¹⁵²
• 17576 = 263, palindromic in base 5
• 17689 = 1332, palindromic in base 11
• 17711 = Fibonacci number¹⁵³
• 17971 = palindromic prime¹⁵⁴
• 17977 = number of partitions of 36¹⁵⁵
• 17990 = weird number¹⁵⁶
• 17991 = Padovan number¹⁵⁷

18000 to 18999

• 18010 = octahedral number¹⁵⁸
• 18181 = palindromic prime,¹⁵⁹ strobogrammatic prime¹⁶⁰
• 18334 = number of planar partitions of 17¹⁶¹
• 18410 = weird number¹⁶²
• 18416 = amicable number with 17296¹⁶³
• 18432 = 3-smooth number (211×32).
• 18481 = palindromic prime¹⁶⁴
• 18496 = 1362, the sum of the first 16 positive integers cubes
• 18600 = harmonic divisor number¹⁶⁵
• 18620 = harmonic divisor number¹⁶⁶
• 18785 = Leyland number¹⁶⁷ using 4 & 7 (47 + 47)
• 18830 = weird number¹⁶⁸
• 18970 = weird number¹⁶⁹

19000 to 19999

• 19019 = square pyramidal number¹⁷⁰
• 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 subcells¹⁷¹
• 19320 = number of trees with 16 unlabeled nodes¹⁷²
• 19390 = weird number¹⁷³
• 19391 = palindromic prime¹⁷⁴
• 19417 = prime sextuplet, along with 19421, 19423, 19427, 19429, and 19433
• 19441 = cuban prime¹⁷⁵
• 19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
• 19513 = tribonacci number¹⁷⁶
• 19531 = repunit prime in base 5
• 19600 = 1402, tetrahedral number
• 19601/13860 ≈ √2
• 19609 = first prime followed by a prime gap of over fifty¹⁷⁷
• 19670 = weird number¹⁷⁸
• 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) = 17576.¹⁷⁹
• 19729 is the number of digits in 2 ↑↑ 5 {\displaystyle 2\uparrow \uparrow 5} (Tetration)
• 19739 = fourth nice Friedman prime
• 19871 = octahedral number¹⁸⁰
• 19891 = palindromic prime¹⁸¹
• 19927 = cuban prime¹⁸²
• 19991 = palindromic prime¹⁸³

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 portal
• 10,000 (disambiguation)

Notes

External links

References

1. "Malagasy Dictionary and Madagascar Encyclopedia : Alina". http://malagasyword.org/bins/teny2/alina ↩

2. "Myriad Definition & Meaning - Merriam-Webster". Merriam-Webster's Online Dictionary. 13 March 2024. http://www.merriam-webster.com/dictionary/myriad ↩

3. Baldwin, James (1885). "Notes on Teaching History". Educational Weekly. 5 (2): 4–5. ISSN 2475-3262. JSTOR 44009109. https://www.jstor.org/stable/44009109 ↩

4. "Decimal and Thousands Separators (International Language Environments Guide)". oracle.com. https://docs.oracle.com/cd/E19455-01/806-0169/overview-9/index.html ↩

5. Sloane, N. J. A. (ed.). "Sequence A006880 (Number of primes less than 10^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

6. Sloane, N. J. A. (ed.). "Sequence A002322 (Reduced totient function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

7. Sloane, N. J. A. (ed.). "Sequence A000010 (Euler totient function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

8. Sloane, N. J. A. (ed.). "Sequence A006880 (Number of primes less than 10^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

9. Sloane, N. J. A. (ed.). "Sequence A000040 (The prime numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. See "Table of n, prime(n) for n = 1..10000" under "Links". /wiki/Neil_Sloane ↩

10. 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. 978-1-56881-220-5 ↩

11. Climate Timeline Information Tool https://archive.today/20120805071442/http://www.ngdc.noaa.gov/paleo/ctl/index.html ↩

12. news http://www.infoworld.com/article/04/07/28/HNnasalinux_1.html ↩

13. "NASA Project: Columbia". Archived from the original on 2005-04-08. Retrieved 2005-02-15. https://web.archive.org/web/20050408085108/http://www.nas.nasa.gov/About/Projects/Columbia/columbia.html ↩

14. 10000 trails web site[usurped] https://web.archive.org/web/20010517233545/http://www.10000trails.com/ ↩

15. "Ten Thousand Islands NWR". U.S. Fish & Wildlife Service. Archived from the original on 2005-03-01. Retrieved 2005-02-14. https://web.archive.org/web/20050301104852/http://southeast.fws.gov/tenthousandisland/ ↩

16. Brewster, David (1830). The Edinburgh Encyclopædia. Vol. 12. Edinburgh, UK: William Blackwood, John Waugh, John Murray, Baldwin & Cradock, J. M. Richardson. p. 494. Retrieved 2015-10-09. https://books.google.com/books?id=0bIkTUZAbxcC ↩

17. Brewster, David (1832). The Edinburgh Encyclopaedia. Vol. 12 (1st American ed.). Joseph and Edward Parker. Retrieved 2015-10-09. https://books.google.com/books?id=17RGAQAAIAAJ&pg=PA572 ↩

18. Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German). Vol. 11. Stuttgart, Germany: J.W. Gotta'schen Buchhandlung. Retrieved 2015-10-09. https://books.google.com/books?id=wF3zAAAAMAAJ&pg=PA500 ↩

19. "Iraq Dinar Currency Photos| Banknote Series | 25000, 10000, 5000, 1000, 250, 50 Dinars". iraqi-dinar.com. Archived from the original on 2005-02-07. Retrieved 2022-08-04. https://web.archive.org/web/20050207025025/http://www.iraqi-dinar.com/dinar-currency.php ↩

20. http://www.iraqsales.com/10%2C000.htm Archived 2005-02-06 at the Wayback Machine http://www.iraqsales.com/10%2C000.htm ↩

21. Brand, Stewart. "The 10,000-Year Library". kurzweilai.net. Archived from the original on 2005-02-05. Retrieved 2022-08-04. https://web.archive.org/web/20050205055351/http://www.kurzweilai.net/meme/frame.html?main=%2Farticles%2Fart0158.html ↩

22. "Army of 10,000". mississippiscv.org. Archived from the original on 2002-04-01. Retrieved 2022-08-04. https://web.archive.org/web/20020401045041/http://mississippiscv.org/MS_Units/army_of_10k.htm ↩

23. "University of Michigan Digital Library - Login Options". http://www.hti.umich.edu/cgi/b/bib/bibperm?q1=eprosed-P3.0504 ↩

24. "Tao Te Ching, Verse 34". thebigview.com. Archived from the original on 2007-08-17. Retrieved 2022-08-04. https://web.archive.org/web/20070817180923/http://www.thebigview.com/tao-te-ching/chapter34.html ↩

25. https://www.gutenberg.org/ebooks/926 : Ten Thousand Dreams Interpreted https://www.gutenberg.org/ebooks/926 ↩

26. http://bible.gospelcom.net/keyword/?search=ten%20thousand&version1=9&searchtype=phrase&wholewordsonly=yes , [1] http://bible.gospelcom.net/keyword/?search=ten%20thousand&version1=9&searchtype=phrase&wholewordsonly=yes ↩

27. (KJV) The Apocalypse of John http://www.earlychristianwritings.com/text/revelation-kjv.html ↩

28. [2][dead link] http://www.hymntime.com/tch/htm/t/e/tenttent.htm ↩

29. The Catholic Encyclopedia http://www.newadvent.org/cathen/09746a.htm ↩

30. Ulmer, Jeanne. "Minnesota Cycling Team –Tour of 10,000 Lakes". tourof10000lakes.net. Archived from the original on 2005-02-21. Retrieved 2022-08-04. https://web.archive.org/web/20050221101850/http://www.tourof10000lakes.net/ ↩

31. Sloane, N. J. A. (ed.). "Sequence A002182 (Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

32. 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. /wiki/Neil_Sloane ↩

33. Sloane, N. J. A. (ed.). "Sequence A273987 (Smallest Riesel number to base n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

34. Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

35. Sloane, N. J. A. (ed.). "Sequence A003261 (Woodall (or Riesel) numbers: n*2^n - 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

36. Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

37. Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

38. Sloane, N. J. A. (ed.). "Sequence A083577 (Prime star numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

39. Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

40. Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

41. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

42. 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. /wiki/Neil_Sloane ↩

43. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

44. Sloane, N. J. A. (ed.). "Sequence A002997 (Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

45. 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. /wiki/Neil_Sloane ↩

46. Sloane, N. J. A. (ed.). "Sequence A000073 (Tribonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

47. Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

48. Sloane, N. J. A. (ed.). "Sequence A000078 (Tetranacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

49. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

50. Sloane, N. J. A. (ed.). "Sequence A083577 (Prime star numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

51. Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

52. Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

53. Sloane, N. J. A. (ed.). "Sequence A002559 (Markoff (or Markov) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

54. 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]. /wiki/ArXiv_(identifier) ↩

55. Sloane, N. J. A. (ed.). "Sequence A000014 (Number of series-reduced trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

56. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

57. 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. /wiki/Neil_Sloane ↩

58. 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. /wiki/Neil_Sloane ↩

59. 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. /wiki/Neil_Sloane ↩

60. Sloane, N. J. A. (ed.). "Sequence A083577 (Prime star numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

61. Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

62. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

63. 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. /wiki/Neil_Sloane ↩

64. Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

65. Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

66. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

67. Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

68. Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

69. Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

70. Sloane, N. J. A. (ed.). "Sequence A000384 (Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

71. Sloane, N. J. A. (ed.). "Sequence A000567 (Octagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

72. Revelation 7:4–8 https://www.biblegateway.com/passage/?search=Revelation+7:4–8&version=nkjv ↩

73. Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

74. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

75. Sloane, N. J. A. (ed.). "Sequence A006785 (Number of triangle-free graphs on n vertices)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

76. Sloane, N. J. A. (ed.). "Sequence A000682 (Semimeanders)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

77. Sloane, N. J. A. (ed.). "Sequence A007053 (Number of primes <= 2^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

78. 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. /wiki/Neil_Sloane ↩

79. Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

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

81. 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. /wiki/Stephen_Fry ↩

82. 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. /wiki/Neil_Sloane ↩

83. 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. /wiki/Neil_Sloane ↩

84. Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

85. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

86. "MOST+MOST Puzzle - Solution". https://www.mathsisfun.com/puzzles/most-most-solution.html ↩

87. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

88. 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. /wiki/Neil_Sloane ↩

89. 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. /wiki/Neil_Sloane ↩

90. Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

91. Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

92. Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

93. 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. /wiki/Neil_Sloane ↩

94. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

95. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

96. Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

97. 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. /wiki/Neil_Sloane ↩

98. Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

99. Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

100. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

101. 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. /wiki/Neil_Sloane ↩

102. 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. /wiki/Neil_Sloane ↩

103. Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

104. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

105. Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

106. Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

107. 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. /wiki/Neil_Sloane ↩

108. Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

109. Sloane, N. J. A. (ed.). "Sequence A002559 (Markoff (or Markov) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

110. 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. /wiki/Neil_Sloane ↩

111. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

112. 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. /wiki/Neil_Sloane ↩

113. Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

114. Sloane, N. J. A. (ed.). "Sequence A112643 (Odd and square-free abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

115. "A002182 - OEIS". oeis.org. Retrieved 2024-11-28. https://oeis.org/A002182 ↩

116. Sloane, N. J. A. (ed.). "Sequence A002182 (Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

117. Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

118. Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

119. Sloane, N. J. A. (ed.). "Sequence A051015 (Zeisel numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

120. 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. /wiki/Neil_Sloane ↩

121. Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

122. 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. /wiki/Neil_Sloane ↩

123. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

124. 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. /wiki/Neil_Sloane ↩

125. "Table of Known Maximal Gaps". Prime Pages. https://primes.utm.edu/notes/GapsTable.html ↩

126. 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. /wiki/Neil_Sloane ↩

127. Sloane, N. J. A. (ed.). "Sequence A002997 (Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

128. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

129. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

130. 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. /wiki/Neil_Sloane ↩

131. Sloane, N. J. A. (ed.). "Sequence A002104 (Logarithmic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

132. Sloane, N. J. A. (ed.). "Sequence A007597 (Strobogrammatic primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

133. Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

134. Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

135. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

136. 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. /wiki/Neil_Sloane ↩

137. 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. /wiki/Neil_Sloane ↩

138. Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

139. Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

140. 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. /wiki/Neil_Sloane ↩

141. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

142. Sloane, N. J. A. (ed.). "Sequence A000108 (Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

143. Sloane, N. J. A. (ed.). "Sequence A088164 (Wolstenholme primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

144. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

145. Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

146. 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. /wiki/Neil_Sloane ↩

147. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

148. Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1. 978-1-84800-000-1 ↩

149. Sloane, N. J. A. (ed.). "Sequence A006886 (Kaprekar numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

150. 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. /wiki/Neil_Sloane ↩

151. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

152. Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

153. Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

154. 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. /wiki/Neil_Sloane ↩

155. 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. /wiki/Neil_Sloane ↩

156. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

157. Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

158. Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

159. 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. /wiki/Neil_Sloane ↩

160. Sloane, N. J. A. (ed.). "Sequence A007597 (Strobogrammatic primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

161. 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. /wiki/Neil_Sloane ↩

162. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

163. Higgins, ibid. ↩

164. 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. /wiki/Neil_Sloane ↩

165. Sloane, N. J. A. (ed.). "Sequence A001599 (Harmonic or Ore numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

166. Sloane, N. J. A. (ed.). "Sequence A001599 (Harmonic or Ore numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

167. Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

168. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

169. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

170. Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

171. 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. /wiki/Neil_Sloane ↩

172. Sloane, N. J. A. (ed.). "Sequence A000055 (Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

173. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

174. 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. /wiki/Neil_Sloane ↩

175. Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

176. Sloane, N. J. A. (ed.). "Sequence A000073 (Tribonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

177. "Table of Known Maximal Gaps". Prime Pages. https://primes.utm.edu/notes/GapsTable.html ↩

178. Sloane, N. J. A. (ed.). "Sequence A006037 (Weird numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

179. "Algebra LOGIC 2 Puzzle - Solution". https://www.mathsisfun.com/puzzles/algebra-logic-2-solution.htmlsolution ↩

180. Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

181. 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. /wiki/Neil_Sloane ↩

182. Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. /wiki/Neil_Sloane ↩

183. 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. /wiki/Neil_Sloane ↩