10,000

From Wikipedia, the free encyclopedia
← 9999 10000 10001 →
List of numbersIntegers
0 10k 20k 30k 40k 50k 60k 70k 80k 90k
Cardinalten thousand
Ordinal10000th
(ten thousandth)
Numeral systemdecamillesimal
Factorization24 × 54
Divisors25 total
Greek numeral
Roman numeralX
Unicode symbol(s)X, ↂ
Greek prefixmyria-
Latin prefixdecamilli-
Binary100111000100002
Ternary1112011013
Octal234208
Duodecimal595412
Hexadecimal271016
Chinese numeral万, 萬

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

Name[]

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 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 Greek root was used in early versions of the metric system in the form of the decimal prefix myria-.

The number 10000 can also be written 10,000 (UK and US), 10.000 (Europe mainland), 10 000 (transition metric), or 10•000 (with the dot raised to the middle of the zeroes; metric).

In mathematics[]

  • In scientific notation, it is written as 104.
  • In E notation it is also written as 1 E+4 (or as 1 E4)
  • It is the square of 100
  • It is the square root of 100,000,000
  • A myriagon is a polygon with 10,000 edges.
  • The classical Greeks used letters of the Greek alphabet to represent Greek numerals: they used a capital letter mu (Μ) to represent 10000, whose name in Greek is myriad.
  • 1040000 = 1000010000 The value of a myriad to the power of itself, written (by the system of Apollonius of Perga) as a little M directly above a larger M.

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.[3]
  • In computers, NASA built a 10000-processor Linux computer (it is actually a 10,240-processor) called Columbia[4][5]
  • In geography,
    • Land of 10000 Lakes is the nickname for the state of Minnesota.
    • Land of 10000 Trails or 10000trails.com was originally created in 1999 by the TN/KY Lakes Area Coalition. This organization is made up of individuals in West Tennessee and West Kentucky, who have an interest in seeing tourism grow by developing trails throughout their region.[1]
    • 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.[2]
    • Valley of Ten Thousand Smokes in Alaska
  • In physics,
    • Myria- (and myrio-[6][7][8]) 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 Arts[]

  • In films,
  • 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.
    • "10000 Men" is a song by Bob Dylan [3]
    • 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 promises" is a song by the Backstreet Boys [4] Archived 2004-12-14 at the Wayback Machine
    • 10,000 Promises. is a Japanese popular music group
    • "10,000 Reasons (Bless the Lord)", is a single and title track of Matt Redman 2013 album 10,000 Reasons
    • "Ten Thousand Strong" is a song by American Power metal band, Iced Earth.
    • "10k", a song by rapper KB from his 2020 album His Glory Alone
  • In paintings
    • Xenophon, on his Retreat with the Ten Thousand, first seeing the Sea, painting by Benjamin Haydon

In other fields[]

  • In currency,
    • Two versions of Iraq's 10,000 dinars banknote has Abu Ali Hasan Ibn al-Haitham (also known as Alhazen) on the front and the current 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. [5] The first issue had an image of former Iraqi president Saddam Hussein and the Spiral Minaret - Al-Minārat Al-Malwiyyah in Samarra [6] Archived 2005-02-06 at the Wayback Machine
    • the Japanese 10,000 yen banknote has a portrait of Fukuzawa Yukichi
    • Kazakhstan's 10,000 tenge banknote
    • the Lebanese 10,000 pounds (liras) banknote with a picture of Beirut's Martyrs' Square
    • Myanmar's (Burma's) 10,000 kyats banknote
    • the U.S. Ten Thousand Dollar Note has 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. [7]
  • In games,
    • Ten Thousand is one name of a dice game that is also called farkle.
  • In game shows, The $10,000 Pyramid ran on television from 1973 to 1974
  • In history,
    • Army of 10,000 Sixty Day Troops, 1862–1863. American Civil War [8]
    • The Army of the Ten Thousand were a group of Ancient Greek mercenaries who marched against Artaxerxes II of Persia.
    • The Goddess[who?] can appear as the Lady of the Ten Thousand Names, as did Isis who was called Isis of Ten Thousand Names
    • 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.
    • the words in the Interlingua–English Dictionary are all drawn from 10,000 roots.
    • 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 [9]
    • 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. [10]
  • 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[9]
  • In religion,
  • 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 metres, 10 kilometres, 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 [14]
    • In baseball, on July 15, 2007, the Philadelphia Phillies became the first team in professional sports history to lose 10,000 games.

Selected numbers in the range 10001-19999[]

10001 to 10999[]

  • 10007 – smallest five-digit prime number
  • 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
  • 10080highly composite number;[10] number of minutes in a week
  • 10111 – palindromic prime in bases 3 (1112121113) and 27 (DND27)
  • 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}[11]
  • 10201 = 1012, palindromic square (in the decimal system)
  • 10206pentagonal pyramidal number[12]
  • 10223 – sixth last number to be eliminated (in 2016) by Seventeen or Bust (now a sub-project of PrimeGrid) in the Sierpiński problem
  • 10239Woodall number[13]
  • 10252Padovan number[14]
  • 10267cuban prime[15]
  • 10301 – palindromic prime in bases 10 (1030110), 27 (E3E27), 30 (BDB30) and 44 (5E544)
  • 10333star prime,[16] palindromic in bases 9 (151519), 31 (ANA31) and 35 (8F835)
  • 10416square pyramidal number[17]
  • 10425octahedral number[18]
  • 10430weird number[19]
  • 10440 – 144th triangular number
  • 10433 – palindromic prime in base 44 (5H544)
  • 10500 – Harshad number in bases 2, 3, 4, 6, 7, 8, 9, 10, 11, 15 and 16
  • 10501 – palindromic prime in bases 10 (1050110) and 58 (37358)
  • 10512 – Harshad number in bases 2, 3, 4, 5, 7, 8, 9, 10, 13 and 16
  • 1053810538 Overture is a hit single by Electric Light Orchestra
  • 10560Harshad number in bases 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14 and 16
  • 10570weird number[19]
  • 10585Carmichael number[20]
  • 10601 – palindromic prime in bases 10 (1060110) and 30 (BNB30)
  • 10609 = 1032, tribonacci number[21]
  • 10631 – palindromic prime in base 30 (BOB30)
  • 10646ISO 10646 is the standard for Unicode
  • 10648 = 223, the smallest 5-digit cube
  • 10660tetrahedral number[22]
  • 10671tetranacci number[23]
  • 10700 – 10700 kHz or 10.7 MHz is a standard intermediate frequency for analog superheterodyne FM broadcast band receivers.
  • 10744amicable number with 10856
  • 10752 – the second 16-bit word of a TIFF file if the byte order marker is misunderstood
  • 10792weird number[19]
  • 10800 – number of bricks used for the uttaravedi in the Agnicayana ritual
  • 10837 – star prime[16]
  • 10856 – amicable number with 10744
  • 10905Wedderburn–Etherington number[24]
  • 10922repdigit in base 4 (22222224), and palindromic in base 8 (252528)
  • 10946Fibonacci number,[25] Markov number[26]
  • 10989 – reverses when multiplied by 9
  • 10990weird number[19]

11000 to 11999[]

  • 11025 = 1052, sum of the cubes of the first 14 positive integers
  • 11083 – palindromic prime in 2 consecutive bases: 23 (KLK23) and 24 (J5J24)
  • 11111 – repdigit
  • 11311 – palindromic prime
  • 11340 – Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
  • 11353star prime[16]
  • 11368 – pentagonal pyramidal number[12]
  • 11410weird number[19]
  • 11411 – palindromic prime in base 10
  • 11424 – Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
  • 11440 – square pyramidal number[17]
  • 11480 – tetrahedral number[22]
  • 11605 – smallest integer to start a run of five consecutive integers with the same number of divisors
  • 11690 – weird number[19]
  • 11717 – twin prime with 11719
  • 11719 – cuban prime,[15] twin prime with 11717
  • 11726 – octahedral number[18]
  • 11826 – smallest number whose square (algebra) 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[27]
  • 12097 – cuban prime[15]
  • 12101 – Friedman prime
  • 12107 – Friedman prime
  • 12109 – Friedman prime
  • 12110 – weird number[19]
  • 12167 = 233
  • 12198semi-meandric number[28]
  • 12285 – amicable number with 14595
  • 12287Thabit number
  • 12289Proth prime, Pierpont prime
  • 12321 = 1112, Demlo number, palindromic square
  • 12341 – tetrahedral number[22]
  • 12407 – cited on QI as the smallest uninteresting positive integer in terms of arithmetical mathematics.[notes 1][29]
  • 12421 – palindromic prime
  • 12496 – smallest sociable number
  • 12529 – square pyramidal number[17]
  • 12530weird number[19]
  • 12670 – weird number[19]
  • 12721 – palindromic prime
  • 12726Ruth–Aaron pair
  • 12758 – largest number that cannot be expressed as the sum of distinct cubes
  • 12765 – Finnish internet meme; the code accompanying no-prize caps in a Coca-Cola bottle top prize contest. Often spelled out yksikaksiseitsemänkuusiviisi, ei voittoa, "one – two – seven – six – five, no prize").
  • 12769 = 1132, palindromic in base 3
  • 12821 – palindromic prime

13000 to 13999[]

  • 13131 – octahedral number[18]
  • 13244 – tetrahedral number[22]
  • 13267 – cuban prime[15]
  • 13331 – palindromic prime
  • 13370weird number[19]
  • 13510 – weird number[19]
  • 13581 – Padovan number[14]
  • 13669 – cuban prime[15]
  • 13685 – square pyramidal number[17]
  • 13790 – weird number[19]
  • 13792 – largest number that is not a sum of 16 fourth powers
  • 13820meandric number, open meandric number
  • 13824 = 243
  • 13831 – palindromic prime
  • 13860Pell number[30]
  • 13930 – weird number[19]
  • 13931 – palindromic prime
  • 13950 – pentagonal pyramidal number[12]

14000 to 14999[]

  • 14190 – tetrahedral number[22]
  • 14200 – number of n-Queens Problem solutions for n – 12
  • 14341 – palindromic prime
  • 14400 = 1202, sum of the cubes of the first 15 positive integers
  • 14641 = 1212 = 114, palindromic square (base 10)
  • 14644 – octahedral number[18]
  • 14701Markov number[26]
  • 14741 – palindromic prime
  • 14770weird number[19]
  • 14595 – amicable number with 12285
  • 14884 = 1222, palindromic square in base 11
  • 14910 – square pyramidal number[17]

15000 to 15999[]

  • 15015 – smallest odd and square-free abundant number[31]
  • 15120 – highly composite number[10]
  • 15180 – tetrahedral number[22]
  • 15376 = 1242, pentagonal pyramidal number[12]
  • 15387Zeisel number[32]
  • 15451 – palindromic prime
  • 15511Motzkin prime[33]
  • 15551 – palindromic prime
  • 15610weird number[19]
  • 15625 = 1252 = 253 = 56
  • 15629 – Friedman prime
  • 15640 – initial number of only four-, five-, or six-digit century to contain two prime quadruples[34] (in between which lies a record prime gap of 43[35])
  • 15661 – Friedman prime
  • 15667 – second nice Friedman prime
  • 15679 – Friedman prime
  • 15841 – Carmichael number[20]
  • 15876 = 1262, palindromic square in base 5
  • 15890 – weird number[19]

16000 to 16999[]

  • 16030 – weird number[19]
  • 16061 – palindromic prime
  • 16091strobogrammatic prime[36]
  • 16206 – square pyramidal number[17]
  • 16269 – octahedral number[18]
  • 16310 – weird number[19]
  • 16361 – palindromic prime
  • 16381 – Friedman prime
  • 16384 = 1282 = 214, palindromic in base 15
  • 16447 – third nice Friedman prime
  • 16561 – palindromic prime
  • 16580Leyland number[37]
  • 16651 – cuban prime[15]
  • 16661 – palindromic prime
  • 16730weird number[19]
  • 16759 – Friedman prime
  • 16796Catalan number[38]
  • 16807 = 75
  • 16843 – smallest Wolstenholme prime[39]
  • 16870 – weird number[19]
  • 16879 – Friedman prime
  • 16896 – pentagonal pyramidal number[12]

17000 to 17999[]

  • 17163 – the largest number that is not the sum of the squares of distinct primes
  • 17272 – weird number[19]
  • 17296 – amicable number with 18416[40]
  • 17344Kaprekar number[41]
  • 17389 – 2000th prime number
  • 17471 – palindromic prime
  • 17570 – weird number[19]
  • 17575 – square pyramidal number[17]
  • 17576 = 263, palindromic in base 5
  • 17689 = 1332, palindromic in base 11
  • 17711 – Fibonacci number[25]
  • 17971 – palindromic prime
  • 17990weird number[19]
  • 17991 – Padovan number[14]

18000 to 18999[]

  • 18010 – octahedral number[18]
  • 18181 – palindromic prime, strobogrammatic prime[36]
  • 18410 – weird number[19]
  • 18416 – amicable number with 17296[42]
  • 18481 – palindromic prime
  • 18496 = 1362, sum of the cubes of the first 16 positive integers
  • 18600harmonic divisor number[43]
  • 18620 – harmonic divisor number[43]
  • 18785 – Leyland number[37]
  • 18830 – weird number[19]
  • 18970 – weird number[19]

19000 to 19999[]

  • 19019 – square pyramidal number[17]
  • 19141unique prime in base 12
  • 19390 – weird number[19]
  • 19391 – palindromic prime
  • 19441 – cuban prime[15]
  • 19455 – smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
  • 19513 – tribonacci number[21]
  • 19531repunit prime in base 5
  • 19600 = 1402, tetrahedral number
  • 19609 – first prime followed by a prime gap of over fifty[35]
  • 19670weird number[19]
  • 19683 = 273, 39
  • 19739 – fourth nice Friedman prime
  • 19871 – octahedral number[18]
  • 19891 – palindromic prime
  • 19927 – cuban prime[15]
  • 19991 – palindromic prime

There are 1033 prime numbers between 10000 and 20000.

See also[]

  • Nuvola apps edu mathematics blue-p.svg Mathematics portal
  • 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. ^ http://www.merriam-webster.com/dictionary/myriad (Merriam-Webster's Online Dictionary)
  3. ^ Climate Timeline Information Tool
  4. ^ http://www.infoworld.com/article/04/07/28/HNnasalinux_1.html news
  5. ^ "NASA Project: Columbia". Archived from the original on 2005-04-08. Retrieved 2005-02-15.
  6. ^ Brewster, David (1830). The Edinburgh Encyclopædia. 12. Edinburgh, UK: William Blackwood, John Waugh, John Murray, Baldwin & Cradock, J. M. Richardson. p. 494. Retrieved 2015-10-09.
  7. ^ Brewster, David (1832). The Edinburgh Encyclopaedia. 12 (1st American ed.). Joseph and Edward Parker. Retrieved 2015-10-09.
  8. ^ Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German). 11. Stuttgart, Germany: J.W. Gotta'schen Buchhandlung. Retrieved 2015-10-09.
  9. ^ https://www.gutenberg.org/ebooks/926 : Ten Thousand Dreams Interpreted
  10. ^ Jump up to: a b "Sloane's A002182: Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  11. ^ "Sloane's A273987: Smallest Riesel number to base n". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-01-30.
  12. ^ Jump up to: a b c d e "Sloane's A002411: Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  13. ^ "Sloane's A003261: Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  14. ^ Jump up to: a b c "Sloane's A000931: Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  15. ^ Jump up to: a b c d e f g h "Sloane's A002407: Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  16. ^ Jump up to: a b c "Sloane's A083577: Prime star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  17. ^ Jump up to: a b c d e f g h "Sloane's A000330: Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  18. ^ Jump up to: a b c d e f g "Sloane's A005900: Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  19. ^ Jump up to: 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's A006037: Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  20. ^ Jump up to: a b "Sloane's A002997: Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  21. ^ Jump up to: a b "Sloane's A000073: Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  22. ^ Jump up to: a b c d e f "Sloane's A000292: Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  23. ^ "Sloane's A000078: Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  24. ^ "Sloane's A001190: Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  25. ^ Jump up to: a b "Sloane's A000045: Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  26. ^ Jump up to: a b "Sloane's A002559: Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  27. ^ Revelation 7:4–8
  28. ^ "Sloane's A000682: Semimeanders". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  29. ^ 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.
  30. ^ "Sloane's A000129: Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  31. ^ "Sloane's A112643: Odd and squarefree abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  32. ^ "Sloane's A051015: Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  33. ^ "Sloane's A001006: Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  34. ^ "Sloane's 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. Retrieved 2021-01-30.
  35. ^ Jump up to: a b "Table of Known Maximal Gaps". Prime Pages.
  36. ^ Jump up to: a b "Sloane's A007597: Strobogrammatic primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  37. ^ Jump up to: a b "Sloane's A076980: Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  38. ^ "Sloane's A000108: Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  39. ^ "Sloane's A088164: Wolstenholme primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  40. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1.
  41. ^ "Sloane's A006886: Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  42. ^ Higgins, ibid.
  43. ^ Jump up to: a b "Sloane's A001599: Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.

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