← 9999 10000 10001 →
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
Senary1141446
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 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-.

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.[3]

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.

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.[4][5]

There are a total of 1,229 prime numbers less than ten thousand, a count that is itself prime.[6]

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.[7]

In science

In time

In Arts

In other fields

  • In currency,
  • In distances,
  • 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.[18]
  • 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 Sixty Day Troops, 1862–1863. American Civil War.[19]
    • 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.[20]
    • 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.[21]
  • 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.[22]
  • 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,

Selected numbers in the range 10001-19999

10001 to 10999

11000 to 11999

  • 11025 = 1052, the sum of the first 14 positive integers cubes.
  • 11083 = palindromic prime in 2 consecutive bases: 23 (KLK23) and 24 (J5J24).
  • 11111 = repdigit.
  • 11297 = Number of planar partitions of 16[47]
  • 11298 = Riordan number
  • 11311 = palindromic prime.
  • 11340 = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16.
  • 11353 = star prime.[34]
  • 11368 = pentagonal pyramidal number[30]
  • 11410 = weird number.[37]
  • 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.[35]
  • 11480 = tetrahedral number.[40]
  • 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.
  • 11690 = weird number.[37]
  • 11717 = twin prime with 11719.
  • 11719 = cuban prime,[33] twin prime with 11717.
  • 11726 = octahedral number.[36]
  • 11781 = Triangular number, Hexagonal number, Octagonal number, and also 58-gonal, 216-gonal, 329-gonal, 787-gonal and 3928-gonal number.[48][49][50]
  • 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.[51]
  • 12048 = number of non-isomorphic set-systems of weight 12.
  • 12097 = cuban prime.[33]
  • 12101 = Friedman prime.
  • 12107 = Friedman prime.
  • 12109 = Friedman prime.
  • 12110 = weird number.[37]
  • 12167 = 233
  • 12172 = number of triangle-free graphs on 10 vertices[52]
  • 12198 = semi-meandric number[53]
  • 12251 = number of primes .[54]
  • 12285 = amicable number with 14595.
  • 12287 = Thabit number.
  • 12289 = Proth prime, Pierpont prime.
  • 12321 = 1112, Demlo number, palindromic square.
  • 12341 = tetrahedral number.[40]
  • 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][55]
  • 12421 = palindromic prime.
  • 12496 = smallest sociable number.
  • 12500 = 22×55[56]
  • 12529 = square pyramidal number.[35]
  • 12530 = weird number.[37]
  • 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 [57]
  • 12670 = weird number.[37]
  • 12721 = palindromic prime.
  • 12726 = Ruth–Aaron pair.
  • 12758 = most significant Number that cannot be expressed as the sum of distinct cubes.
  • 12765 = Finnish internet meme; the code accompanying no-prize caps in a Coca-Cola bottle top prize contest. Often spelled out yksi – kaksi – seitsemän – kuusi – viisi, ei voittoa, "one – two – seven – six – five, no prize".
  • 12769 = 1132, palindromic in base 3.
  • 12821 = palindromic prime.

13000 to 13999

  • 13131 = octahedral number.[36]
  • 13244 = tetrahedral number.[40]
  • 13267 = cuban prime.[33]
  • 13331 = palindromic prime.
  • 13370 = weird number.[37]
  • 13510 = weird number.[37]
  • 13581 = Padovan number.[32]
  • 13648 = number of 20-bead necklaces (turning over is allowed) where complements are equivalent[58]
  • 13669 = cuban prime.[33]
  • 13685 = square pyramidal number.[35]
  • 13790 = weird number.[37]
  • 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[59]
  • 13820 = meandric number, open meandric number.
  • 13824 = 243
  • 13831 = palindromic prime.
  • 13860 = Pell number.[60]
  • 13930 = weird number.[37]
  • 13931 = palindromic prime.
  • 13950 = pentagonal pyramidal number.[30]

14000 to 14999

  • 14190 = tetrahedral number.[40]
  • 14200 = number of n-Queens Problem solutions for n – 12.
  • 14341 = palindromic prime.
  • 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.[36]
  • 14701 = Markov number.[44]
  • 14741 = palindromic prime.
  • 14770 = weird number.[37]
  • 14884 = 1222, palindromic square in base 11.
  • 14910 = square pyramidal number.[35]

15000 to 15999

  • 15015 = smallest odd and square-free abundant number.[61]
  • 15120 = highly composite number.[28]
  • 15180 = tetrahedral number.[40]
  • 15376 = 1242, pentagonal pyramidal number.[30]
  • 15387 = Zeisel number.[62]
  • 15451 = palindromic prime.
  • 15511 = Motzkin prime.[63]
  • 15551 = palindromic prime
  • 15610 = weird number.[37]
  • 15625 = 1252 = 253 = 56
  • 15629 = Friedman prime.
  • 15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples[64] (in between which lies a record prime gap of 43[65]).
  • 15661 = Friedman prime.
  • 15667 = second nice Friedman prime.
  • 15679 = Friedman prime.
  • 15793 – Number of parallelogram polyominoes with 13 cells.[66]
  • 15841 = Carmichael number.[38]
  • 15876 = 1262, palindromic square in base 5.
  • 15890 = weird number.[37]

16000 to 16999

17000 to 17999

  • 17073 = number of free 11-ominoes.
  • 17163 = the most significant number that is not the sum of the squares of distinct primes.
  • 17272 = weird number.[37]
  • 17296 = amicable number with 18416.[73]
  • 17344 = Kaprekar number.[74]
  • 17389 = 2000th prime number.
  • 17471 = palindromic prime.
  • 17570 = weird number.[37]
  • 17575 = square pyramidal number.[35]
  • 17576 = 263, palindromic in base 5.
  • 17689 = 1332, palindromic in base 11.
  • 17711 = Fibonacci number.[43]
  • 17971 = palindromic prime.
  • 17990 = weird number.[37]
  • 17991 = Padovan number.[32]

18000 to 18999

  • 18010 = octahedral number.[36]
  • 18181 = palindromic prime, strobogrammatic prime.[68]
  • 18334 = number of planar partitions of 17[47]
  • 18410 = weird number.[37]
  • 18416 = amicable number with 17296.[75]
  • 18481 = palindromic prime.
  • 18496 = 1362, the sum of the first 16 positive integers cubes.
  • 18600 = harmonic divisor number.[76]
  • 18620 = harmonic divisor number.[76]
  • 18785 = Leyland number.[69]
  • 18830 = weird number.[37]
  • 18970 = weird number.[37]

19000 to 19999

  • 19019 = square pyramidal number.[35]
  • 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.[77]
  • 19390 = weird number.[37]
  • 19391 = palindromic prime.
  • 19417 = prime sextuplet, along with 19421, 19423, 19427, 19429, and 19433.
  • 19441 = cuban prime.[33]
  • 19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers.
  • 19513 = tribonacci number.[39]
  • 19531 = repunit prime in base 5.
  • 19600 = 1402, tetrahedral number.
  • 19601/13860 ≈ √2
  • 19609 = first prime followed by a prime gap of over fifty.[65]
  • 19670 = weird number.[37]
  • 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. [78]
  • 19739 = fourth nice Friedman prime.
  • 19871 = octahedral number.[36]
  • 19891 = palindromic prime.
  • 19927 = cuban prime.[33]
  • 19991 = palindromic prime.

Primes

There are 1033 prime numbers between 10000 and 20000, a count that is itself prime. It is 196 prime numbers less than the number of primes between 0 and 10000 (1229, also prime).

See also

Notes

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

References

  1. ↑ "Malagasy Dictionary and Madagascar Encyclopedia : Alina".
  2. ↑ "Myriad Definition & Meaning - Merriam-Webster". Merriam-Webster's Online Dictionary.
  3. ↑ "Decimal and Thousands Separators (International Language Environments Guide)". oracle.com.
  4. ↑ Sloane, N. J. A. (ed.). "Sequence A002322 (Reduced totient function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-02.
  5. ↑ Sloane, N. J. A. (ed.). "Sequence A000010 (Euler totient function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-02.
  6. ↑ Sloane, N. J. A. (ed.). "Sequence A000040 (The prime numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-02. See "Table of n, prime(n) for n = 1..10000" under "Links".
  7. ↑ 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.
  8. ↑ Climate Timeline Information Tool
  9. ↑ news
  10. ↑ "NASA Project: Columbia". Archived from the original on 2005-04-08. Retrieved 2005-02-15.
  11. ↑ 10000 trails web site
  12. ↑ "Ten Thousand Islands NWR". U.S. Fish & Wildlife Service. Archived from the original on 2005-03-01. Retrieved 2005-02-14.
  13. ↑ 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.
  14. ↑ Brewster, David (1832). The Edinburgh Encyclopaedia. Vol. 12 (1st American ed.). Joseph and Edward Parker. Retrieved 2015-10-09.
  15. ↑ Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German). Vol. 11. Stuttgart, Germany: J.W. Gotta'schen Buchhandlung. Retrieved 2015-10-09.
  16. ↑ "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.
  17. ↑ http://www.iraqsales.com/10%2C000.htm Archived 2005-02-06 at the Wayback Machine
  18. ↑ Brand, Stewart. "The 10,000-Year Library". kurzweilai.net. Archived from the original on 2005-02-05. Retrieved 2022-08-04.
  19. ↑ "Army of 10,000". mississippiscv.org. Archived from the original on 2002-04-01. Retrieved 2022-08-04.
  20. ↑ "University of Michigan Digital Library - Login Options".
  21. ↑ "Tao Te Ching, Verse 34". thebigview.com. Archived from the original on 2007-08-17. Retrieved 2022-08-04.
  22. ↑ https://www.gutenberg.org/ebooks/926 : Ten Thousand Dreams Interpreted
  23. ↑ http://bible.gospelcom.net/keyword/?search=ten%20thousand&version1=9&searchtype=phrase&wholewordsonly=yes ,
  24. ↑ (KJV) The Apocalypse of John
  25. ↑
  26. ↑ The Catholic Encyclopedia
  27. ↑ Ulmer, Jeanne. "Minnesota Cycling Team –Tour of 10,000 Lakes". tourof10000lakes.net. Archived from the original on 2005-02-21. Retrieved 2022-08-04.
  28. 1 2 "Sloane's A002182: Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  29. ↑ "Sloane's A273987: Smallest Riesel number to base n". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-01-30.
  30. 1 2 3 4 5 "Sloane's A002411: Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  31. ↑ "Sloane's A003261: Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  32. 1 2 3 "Sloane's A000931: Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  33. 1 2 3 4 5 6 7 8 "Sloane's A002407: Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  34. 1 2 3 "Sloane's A083577: Prime star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  35. 1 2 3 4 5 6 7 8 "Sloane's A000330: Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  36. 1 2 3 4 5 6 7 "Sloane's A005900: Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  37. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 "Sloane's A006037: Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  38. 1 2 "Sloane's A002997: Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  39. 1 2 "Sloane's A000073: Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  40. 1 2 3 4 5 6 "Sloane's A000292: Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  41. ↑ "Sloane's A000078: Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  42. ↑ "Sloane's A001190: Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  43. 1 2 "Sloane's A000045: Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  44. 1 2 "Sloane's A002559: Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  45. ↑ 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].
  46. ↑ Sloane, N. J. A. (ed.). "Sequence A000014 (Number of series-reduced trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  47. 1 2 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.
  48. ↑ Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  49. ↑ Sloane, N. J. A. (ed.). "Sequence A000384 (Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  50. ↑ Sloane, N. J. A. (ed.). "Sequence A000567 (Octagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  51. ↑ Revelation 7:4–8
  52. ↑ Sloane, N. J. A. (ed.). "Sequence A006785 (Number of triangle-free graphs on n vertices)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  53. ↑ "Sloane's A000682: Semimeanders". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  54. ↑ Sloane, N. J. A. (ed.). "Sequence A007053". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
  55. ↑ 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.
  56. ↑ 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.
  57. ↑ "MOST+MOST Puzzle - Solution".
  58. ↑ 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.
  59. ↑ 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.
  60. ↑ "Sloane's A000129: Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  61. ↑ "Sloane's A112643: Odd and squarefree abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  62. ↑ "Sloane's A051015: Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  63. ↑ "Sloane's A001006: Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  64. ↑ "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.
  65. 1 2 "Table of Known Maximal Gaps". Prime Pages.
  66. ↑ 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.
  67. ↑ Sloane, N. J. A. (ed.). "Sequence A002104 (Logarithmic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  68. 1 2 "Sloane's A007597: Strobogrammatic primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  69. 1 2 "Sloane's A076980: Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  70. ↑ "Sloane's A000108: Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  71. ↑ "Sloane's A088164: Wolstenholme primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  72. ↑ 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.
  73. ↑ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1.
  74. ↑ "Sloane's A006886: Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  75. ↑ Higgins, ibid.
  76. 1 2 "Sloane's A001599: Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  77. ↑ 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.
  78. ↑ "Algebra LOGIC 2 Puzzle - Solution".
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