This article is about the natural number (and other integers between 10,000 and 19,999). For other uses, see
10,000 (disambiguation) .
Natural number
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.[
citation needed ] This Greek root was used in early versions of the
metric system in the form of the decimal prefix
myria- .
[3]
Depending on the country, the number ten thousand is usually written as 10,000 (including in the UK and US), 10.000, or 10 000.
[4]
In mathematics
In
scientific notation it is written as 104 or 1 E+4 (equivalently 1 E4 ) in
E notation .
It is the
square of
100 and the
square root of
100,000,000 .
The value of a
myriad to the
power of itself, 1000010000 = 1040000 .
It has a total of 25
divisors , whose
geometric mean is a
whole number , 100 (the number of primes below this value is 25).
[5]
It has a
reduced totient of
500 , and a
totient of
4,000 , with a total of 16
integers having a totient value of 10,000.
[6]
[7]
There are a total of
1,229 prime numbers less than ten thousand, a count that is itself prime.
[5]
[8]
A
myriagon is a
polygon with ten thousand edges and a total of 25
dihedral symmetry groups when including the myriagon itself, alongside 25
cyclic groups as
subgroups .
[9]
In science
In
astronomy ,
In
climate , Summary of 10000 Years is one of several pages of the Climate Timeline Tool: Exploring Weather & Climate Change Through the Powers of 10 sponsored by the
National Climatic Data Center of the
National Oceanic & Atmospheric Administration .
[10]
In
computing ,
In
geography ,
In
physics ,
Myria- (and
myrio- )
[15]
[16]
[17] is an obsolete
metric prefix that denoted a factor of 10+4 , ten thousand , or 10,000 .
10,000
hertz , 10
kilohertz , or 10 kHz of the
radio frequency spectrum falls in the
very low frequency or VLF band and has a
wavelength of 30 kilometres.
In
orders of magnitude (speed) , the
speed of a
fast neutron is 10000 km/s .
In
acoustics , 10,000
hertz , 10
kilohertz , or 10 kHz of a sound signal at sea level has a wavelength of about 34 mm.
In
music , a 10 kilohertz sound is a
E♭9 in the
A440 pitch standard , a bit more than an octave higher in pitch than the highest note on a standard piano.
In time
In Arts
In other fields
In currency,
In distances,
10 km, 10,000 m, or
1 E+4 m is equal to:
In finance, on March 29, 1999, the
Dow Jones Industrial Average closed at 10006.78, which was the first time the index closed above the 10,000 mark.
In
futurology ,
Stewart Brand in Visions of the Future: The 10,000-Year Library proposes a museum built around a 10,000-year clock as an idea for assuring that vital information survives future crashes of civilizations.
[20]
In games,
Ten Thousand is one name of a dice game called
farkle .
In game shows,
The $10,000 Pyramid ran on television from 1973 to 1974.
In history,
Army of 10,000 Mississippi
American Civil War military unit, 1861–1862.
[21]
The
Army of the Ten Thousand were a group of
Ancient Greek
mercenaries who marched against
Artaxerxes II of Persia .
The
Persian Immortals were also called the Ten Thousand or 10,000 Immortals , so named because their Number of 10,000 was immediately re-established after every loss.
The 10,000 Day War: Vietnam by
Michael Maclear
ISBN
0-312-79094-5 also alternate titles The ten thousand day war: Vietnam, 1945–1975 (10,000 days is 27.4 years).
Tomb of Ten Thousand Soldiers – defeat of the
Tang dynasty army of China in the
Nanzhao kingdom in 751.
In Islamic history, 10,000 is the Number of besieging forces led by Muhammad's adversary,
Abu Sufyan , during the
Battle of the Trench .
10,000 is the number of
Muhammad 's soldiers during the
conquest of Mecca .
In
language ,
the Chinese, Japanese, Korean, and Vietnamese phrase
live for ten thousand years was used to bless emperors in East Asia.
Μύριοι is an
Ancient Greek name for 10.000 taken into the modern European languages as 'myriad' (see above). Hebrew, Chinese, Japanese, and Korean have words with the same meaning.
In literature,
Man'yōshū (万葉集 Man'yōshū , Collection of Ten Thousand Leaves ) is the oldest existing, and most highly revered, collection of
Japanese poetry .
Ten Thousand a Year 1839 by
Samuel Warren .
Ten Thousand a Year 1883?. A drama in three acts. Adapted from the celebrated novel of the same name, by the author of the Diary of a Physician , and arranged for the stage by
Richard Brinsley Peake .
[22]
Anabasis , by the Greek writer Xenophon (431–360 B.C.), about the
Army of the Ten Thousand – Greek mercenaries taking part in the expedition of Cyrus the Younger, a Persian prince, against his brother, King Artaxerxes II.
The Ten Thousand: A Novel of Ancient Greece by
Michael Curtis Ford . 2001.
ISBN
0-312-26946-3 Historic fiction about the
Army of the Ten Thousand .
The World of the Ten Thousand Things: Poems 1980–1990 by
Charles Wright
ISBN
0-374-29293-0
ISBN
0-374-52326-6 .
Ten Thousand Lovers by
Edeet Ravel
ISBN
0-06-056562-4 .
In philosophy,
Lao Zi writes about ten thousand things in the
Tao Te Ching . In
Taoism , the "10,000 Things" is a term meaning all of phenomenal
reality .
[23]
In
piphilology , ten thousand is the current world record for the Number of digits of
pi memorized by a human being.
In psychology, Ten Thousand Dreams Interpreted , or what's in a
dream : a scientific and practical, by Miller, Gustavus Hindman (1857–1929).
Project Gutenberg .
[24]
In religion,
The
Bible ,
has 52 references to ten thousand in the
King James Version .
[25]
Revelation 5:11 And I beheld, and I heard the voice of many angels round about the throne and the beasts and the elders: and the number of them was ten thousand times ten thousand, and thousands of thousands .
[26]
hymn , Ten thousand times ten thousand .
[27]
The
Ten thousand martyrs .
[28]
In software,
The
Year 10,000 problem is the collective name for all potential software bugs that will emerge as the need to express years with five digits arises.
In sports,
In athletics, 10,000 meters , 10 kilometers , 10 km , or 10K (6.2 miles) is the final standard track event in a
long-distance track event and a distance in other
racing events such as
running ,
cycling , and
skiing .
In bicycle racing, annual Tour of 10,000 Lakes Stage Race in
Minneapolis .
[29]
In baseball, on July 15, 2007, the
Philadelphia Phillies became the first team in professional sports history to lose 10,000 games.
Selected numbers in the range 10001-19999
10001 to 10999
10007 = smallest five-digit prime number,
twin prime with 10009.
10008 = palindromic in bases 5 (3100135 ), 22 (KEK22 ), 28 (CLC28 ) and 33 (96933 ) and a
Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 10, 13, 14 and 16.
10009 = twin prime with 10007.
10080 =
highly composite number ;
[30] number of minutes in a week.
10111 = palindromic prime in bases 3 (1112121113 ) and 27 (DND27 ).
10143 = number of partitions of 33
[31]
10176 = smallest (provable) generalized
Riesel number in
base 10 : 10176*10n -1 is always divisible by
one of the prime numbers {7, 11, 13, 37 .
[32]
10201 = 1012 ,
palindromic
square (in the decimal system)
10206 =
pentagonal pyramidal number .
[33]
10223 = sixth last number to be eliminated (in 2016) by
Seventeen or Bust (now a sub-project of
PrimeGrid ) in the
Sierpiński problem .
10239 =
Woodall number .
[34]
10252 =
Padovan number.
[35]
10267 =
cuban prime .
[36]
10301 = palindromic prime in bases 10 (1030110 ), 27 (E3E27 ), 30 (BDB30 ) and 44 (5E544 ).
10333 =
star prime ,
[37] palindromic in bases 9 (151519 ), 31 (ANA31 ) and 35 (8F835 ).
10395 =
double factorial of 11
10416 =
square pyramidal number .
[38]
10425 =
octahedral number .
[39]
10430 =
weird number .
[40]
10433 = palindromic prime in base 44 (5H544 ).
10440 = 144th
triangular number .
10499 =
twin prime with 10501.
10500 =
Harshad number in bases 2, 3, 4, 6, 7, 8, 9, 10, 11, 15 and 16.
10501 = palindromic prime in bases 10 (1050110 )
[41] and 58 (37358 ).
10512 = Harshad number in bases 2, 3, 4, 5, 7, 8, 9, 10, 13 and 16.
10538 =
10538 Overture is a hit single by
Electric Light Orchestra .
10560 = Harshad number in bases 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14 and 16.
10570 = weird number.
[40]
10585 =
Carmichael number .
[42]
10601 = palindromic prime in bases 10 (1060110 )
[41] and 30 (BNB30 ).
10609 = 1032 ,
tribonacci number .
[43]
10631 = palindromic prime in base 30 (BOB30 ).
10646 =
ISO 10646 is the standard for
Unicode .
10648 = 223 , the smallest 5-digit cube.
10660 =
tetrahedral number .
[44]
10671 =
tetranacci number .
[45]
10700 = 10700 kHz or 10.7 MHz is a standard
intermediate frequency for analog
superheterodyne
FM broadcast band receivers.
10744 =
amicable number with 10856.
10752 = the second
16-bit
word of a
TIFF file if the
byte order marker is misunderstood.
10792 = weird number.
[40]
10800 = number of bricks used for the uttaravedi in the
Agnicayana ritual.
10837 = star prime.
[37]
10856 = amicable number with 10744.
10905 =
Wedderburn–Etherington number
[46]
10922 =
repdigit in base 4 (22222224 ), and palindromic in base 8 (252528 ).
10946 =
Fibonacci number ,
[47]
Markov number .
[48]
10958 = the smallest positive integer that cannot be represented by an equation using increasing order of integers from 1 to 9 and basic arithmetic operations.
[49]
10981 = number of reduced trees with 22 nodes
[50]
10989 = reverses when multiplied by 9.
10990 = weird number.
[40]
11000 to 11999
11025 = 1052 , the sum of the first 14 positive integers cubes.
11083 = palindromic prime in 2 consecutive bases: 23 (KLK23 ) and 24 (J5J24 ).
11111 =
Repunit
[51]
11297 = Number of planar partitions of 16
[52]
11298 =
Riordan number
11311 = palindromic prime in decimal.
[41]
11340 = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16.
11353 =
star prime .
[37]
11368 = pentagonal pyramidal number
[33]
11410 =
weird number .
[40]
11411 = palindromic prime in decimal.
[41]
11424 = Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16.
11440 = square pyramidal number.
[38]
11480 = tetrahedral number.
[44]
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.
[40]
11717 = twin prime with 11719.
11719 = cuban prime,
[36] twin prime with 11717.
11726 = octahedral number.
[39]
11781 =
Triangular number ,
Hexagonal number ,
Octagonal number , and also 58-gonal, 216-gonal, 329-gonal, 787-gonal and 3928-gonal number.
[53]
[54]
[55]
11826 = smallest number whose
square (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 .
[56]
12048 =
number of non-isomorphic set-systems of weight 12.
12097 = cuban prime.
[36]
12101 = Friedman prime.
12107 = Friedman prime.
12109 = Friedman prime.
12110 = weird number.
[40]
12167 = 233
12172 = number of triangle-free graphs on 10 vertices
[57]
12198 =
semi-meandric number
[58]
12251 = number of primes
≤
2
17
{\displaystyle \leq 2^{17}}
.
[59]
12285 = amicable number with 14595.
12287 =
Thabit number .
12289 =
Proth prime ,
Pierpont prime .
12310 = number of partitions of 34
[31]
12321 = 1112 ,
Demlo number , palindromic square.
12341 = tetrahedral number.
[44]
12345 = smallest whole number containing all numbers from 1 to 5
12407 = cited on
Q.I. as the smallest uninteresting positive integer regarding arithmetical mathematics.
[notes 1]
[60]
12421 = palindromic prime.
[41]
12496 = smallest
sociable number .
12500 = 22 ×55
[61]
12529 = square pyramidal number.
[38]
12530 = weird number.
[40]
12542 = there is a match puzzle called MOST + MOST = TOKYO, where each letter represents a digit. When one solves the puzzle, TOKYO = 12542, as 6271 + 6271 = 12542
[62]
12670 = weird number.
[40]
12721 = palindromic prime.
[41]
12726 =
Ruth–Aaron pair .
12758 = most significant Number that cannot be expressed as the sum of distinct cubes.
12765 = Finnish
internet meme ; the code accompanying no-prize caps in a
Coca-Cola bottle top prize contest. Often spelled out yksi – kaksi – seitsemän – kuusi – viisi , ei voittoa , "one – two – seven – six – five, no prize".
12769 = 1132 , palindromic in base 3.
12821 = palindromic prime.
[41]
13000 to 13999
13131 = octahedral number.
[39]
13244 = tetrahedral number.
[44]
13267 = cuban prime.
[36]
13331 = palindromic prime.
[41]
13370 =
weird number .
[40]
13510 = weird number.
[40]
13581 = Padovan number.
[35]
13648 = number of 20-bead necklaces (turning over is allowed) where complements are equivalent
[63]
13669 = cuban prime.
[36]
13685 = square pyramidal number.
[38]
13790 = weird number.
[40]
13792 = largest number that is not a
sum of 16 fourth powers .
13798 = number of 19-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
[64]
13820 =
meandric number ,
open meandric number .
13824 = 243
13831 = palindromic prime.
[41]
13860 =
Pell number .
[65]
13930 = weird number.
[40]
13931 = palindromic prime.
13950 = pentagonal pyramidal number.
[33]
14000 to 14999
14190 = tetrahedral number.
[44]
14200 = number of
n-Queens Problem solutions for n – 12.
14341 = palindromic prime.
[41]
14400 = 1202 , the sum of the first 15 positive integers cubes.
14595 = amicable number with 12285.
14641 = 1212 = 114 , palindromic square (base 10).
14644 = octahedral number.
[39]
14701 =
Markov number .
[48]
14741 = palindromic prime.
[41]
14770 =
weird number .
[40]
14883 = number of partitions of 35
[31]
14884 = 1222 , palindromic square in base 11.
14910 = square pyramidal number.
[38]
15000 to 15999
15015 = smallest odd and
square-free
abundant number .
[66]
15120 = highly composite number; smallest number with exactly 80 factors.
[30]
15180 = tetrahedral number.
[44]
15376 = 1242 , pentagonal pyramidal number.
[33]
15387 =
Zeisel number .
[67]
15451 = palindromic prime.
[41]
15511 =
Motzkin prime .
[68]
15551 = palindromic prime.
[41]
15610 =
weird number .
[40]
15625 = 1252 = 253 = 56
15629 = Friedman prime.
15640 = initial number of only four-, five-, or six-digit century to contain two
prime quadruples
[69] (in between which lies a record
prime gap of 43
[70] ).
15661 = Friedman prime.
15667 = second nice Friedman prime.
15679 = Friedman prime.
15793 – Number of parallelogram polyominoes with 13 cells.
[71]
15841 = Carmichael number.
[42]
15876 = 1262 , palindromic square in base 5.
15890 = weird number.
[40]
16000 to 16999
17000 to 17999
17073 = number of free 11-ominoes.
17163 = the most significant number that is not the sum of the squares of distinct primes.
17272 = weird number.
[40]
17296 = amicable number with 18416.
[78]
17344 =
Kaprekar number .
[79]
17389 = 2000th prime number.
17471 = palindromic prime.
[41]
17570 = weird number.
[40]
17575 = square pyramidal number.
[38]
17576 = 263 , palindromic in base 5.
17689 = 1332 , palindromic in base 11.
17711 =
Fibonacci number .
[47]
17971 = palindromic prime.
[41]
17977 = number of partitions of 36
[31]
17990 =
weird number .
[40]
17991 = Padovan number.
[35]
18000 to 18999
18010 = octahedral number.
[39]
18181 = palindromic prime,
[41] strobogrammatic prime.
[73]
18334 = number of planar partitions of 17
[52]
18410 = weird number.
[40]
18416 = amicable number with 17296.
[80]
18481 = palindromic prime.
[41]
18496 = 1362 , the sum of the first 16 positive integers cubes.
18600 =
harmonic divisor number .
[81]
18620 = harmonic divisor number.
[81]
18785 = Leyland number.
[74]
18830 = weird number.
[40]
18970 = weird number.
[40]
19000 to 19999
19019 = square pyramidal number.
[38]
19141 =
unique prime in
base 12 .
19302 = Number of ways to partition {1,2,3,4,5,6,7} and then partition each cell (block) into subcells.
[82]
19320 = number of trees with 16 unlabeled nodes
[83]
19390 = weird number.
[40]
19391 = palindromic prime.
[41]
19417 =
prime sextuplet , along with 19421, 19423, 19427, 19429, and 19433.
19441 = cuban prime.
[36]
19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers.
19513 = tribonacci number.
[43]
19531 =
repunit prime in base 5.
19600 = 1402 , tetrahedral number.
19601 /13860 ≈
√2
19609 = first
prime followed by a
prime gap of over fifty.
[70]
19670 =
weird number .
[40]
19683 = 273 , 39 . Furthermore, there is a math puzzle regarding the word logic, such that LOGIC = (L+O+G+I+C)3 . The solution to this is (1+9+6+8+3) (1+9+6+8+3) (1+9+6+8+3), which is (27)(27)(27), which equals to 19683. This is one of two digits for which this works, although the other solution has O and I are the same digit: 17576, as (1+7+5+7+6) (1+7+5+7+6) (1+7+5+7+6) = (26)(26)(26) = 17576.
[84]
19729 is the number of digits in
2
↑↑
5
{\displaystyle 2\uparrow \uparrow 5}
(
Tetration )
19739 = fourth nice Friedman prime.
19871 = octahedral number.
[39]
19891 = palindromic prime.
[41]
19927 = cuban prime.
[36]
19991 = palindromic prime.
[41]
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
References
^
"Malagasy Dictionary and Madagascar Encyclopedia : Alina" .
^
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ISSN
2475-3262 .
JSTOR
44009109 .
^
"Decimal and Thousands Separators (International Language Environments Guide)" . oracle.com .
^
a
b
Sloane, N. J. A. (ed.).
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^
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^
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^
Sloane, N. J. A. (ed.).
"Sequence A000040 (The prime numbers)" . The
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^
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.
^
Climate Timeline Information Tool
^
news
^
"NASA Project: Columbia" . Archived from
the original on 2005-04-08. Retrieved 2005-02-15 .
^
10000 trails web site
^
"Ten Thousand Islands NWR" . U.S. Fish & Wildlife Service . Archived from
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^ Brewster, David (1830).
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^ Brewster, David (1832).
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^ Dingler, Johann Gottfried (1823).
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^
"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 .
^
http://www.iraqsales.com/10%2C000.htm
Archived 2005-02-06 at the
Wayback Machine
^ Brand, Stewart.
"The 10,000-Year Library" . kurzweilai.net . Archived from
the original on 2005-02-05. Retrieved 2022-08-04 .
^
"Army of 10,000" . mississippiscv.org . Archived from
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^
"University of Michigan Digital Library - Login Options" .
^
"Tao Te Ching, Verse 34" . thebigview.com . Archived from
the original on 2007-08-17. Retrieved 2022-08-04 .
^
https://www.gutenberg.org/ebooks/926 : Ten Thousand Dreams Interpreted
^
http://bible.gospelcom.net/keyword/?search=ten%20thousand&version1=9&searchtype=phrase&wholewordsonly=yes ,
[1]
^
(KJV)
The Apocalypse of John
^
[2] [
dead link ]
^
The Catholic Encyclopedia
^ Ulmer, Jeanne.
"Minnesota Cycling Team –Tour of 10,000 Lakes" . tourof10000lakes.net . Archived from
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^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002182 (Highly composite numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
Sloane, N. J. A. (ed.).
"Sequence A000041 (a(n) is the number of partitions of n (the partition numbers))" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A273987 (Smallest Riesel number to base n )" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
Sloane, N. J. A. (ed.).
"Sequence A002411 (Pentagonal pyramidal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A003261 (Woodall (or Riesel) numbers: n*2^n - 1)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A000931 (Padovan sequence)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
f
g
h
Sloane, N. J. A. (ed.).
"Sequence A002407 (Cuban primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A083577 (Prime star numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
f
g
h
Sloane, N. J. A. (ed.).
"Sequence A000330 (Square pyramidal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
f
g
Sloane, N. J. A. (ed.).
"Sequence A005900 (Octahedral numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
z
aa
ab
Sloane, N. J. A. (ed.).
"Sequence A006037 (Weird numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
Sloane, N. J. A. (ed.).
"Sequence A002385 (Palindromic primes: prime numbers whose decimal expansion is a palindrome)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002997 (Carmichael numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A000073 (Tribonacci numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
f
Sloane, N. J. A. (ed.).
"Sequence A000292 (Tetrahedral numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000078 (Tetranacci numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A001190 (Wedderburn-Etherington numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A000045 (Fibonacci numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002559 (Markoff (or Markov) numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ 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 ].
^
Sloane, N. J. A. (ed.).
"Sequence A000014 (Number of series-reduced trees with n nodes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
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.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A000219 (Number of planar partitions (or plane partitions) of n)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000217 (Triangular numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000384 (Hexagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000567 (Octagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Revelation 7:4–8
^
Sloane, N. J. A. (ed.).
"Sequence A006785 (Number of triangle-free graphs on n vertices)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000682 (Semimeanders)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A007053 (Number of primes <= 2^n)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ 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 .
^
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.
^
"MOST+MOST Puzzle - Solution" .
^
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.
^
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.
^
Sloane, N. J. A. (ed.).
"Sequence A000129 (Pell numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A112643 (Odd and square-free abundant numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A051015 (Zeisel numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A001006 (Motzkin numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
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.
^
a
b
"Table of Known Maximal Gaps" . Prime Pages.
^
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.
^
Sloane, N. J. A. (ed.).
"Sequence A002104 (Logarithmic numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A007597 (Strobogrammatic primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A076980 (Leyland numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000108 (Catalan numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A088164 (Wolstenholme primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
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.
^ Higgins, Peter (2008).
Number Story: From Counting to Cryptography . New York: Copernicus. p.
61 .
ISBN
978-1-84800-000-1 .
^
Sloane, N. J. A. (ed.).
"Sequence A006886 (Kaprekar numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Higgins, ibid.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A001599 (Harmonic or Ore numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
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.
^
Sloane, N. J. A. (ed.).
"Sequence A000055 (Number of trees with n unlabeled nodes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
"Algebra LOGIC 2 Puzzle - Solution" .
External links
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