2008:
2024:
2525:
2183:
11006:
10966:
2032:
10986:
10976:
10996:
2081:
3223:"Naeuw-keurig reys-boek: bysonderlijk dienstig voor kooplieden, en reysende persoonen, sijnde een trysoor voor den koophandel, in sigh begrijpende alle maate, en gewighte, Boekhouden, Wissel, Asseurantie ... : vorders hoe men ... kan reysen ... door Neederlandt, Duytschlandt, Vrankryk, Spanjen, Portugael en Italiën ..."
2478:
traditions. The
Pythagoreans considered the numbers to be plural and therefore did not classify 1 itself as a number, but as the origin of all numbers. In their number philosophy, where odd numbers were considered male and even numbers female, 1 was considered neutral capable of transforming even
3430:
1070:, and many 19th century mathematicians still considered 1 to be prime. By the early 20th century, mathematicians started to agree that 1 should not be classified as a prime number. However, published lists of primes continued to include 1 as recently as 1956.
3252:"Gustavi Seleni Cryptomenytices Et Cryptographiae Libri IX.: In quibus & planißima Steganographiae a Johanne Trithemio ... magice & aenigmatice olim conscriptae, Enodatio traditur; Inspersis ubique Authoris ac Aliorum, non contemnendis inventis"
3402:
949:, which contains an infinite repetition of the digit 9 after the decimal point. The latter arises from the definition of decimal numbers as the limits of their summed components, such that "0.999..." and "1" represent
2256:
as a substitute for the Arabic numeral 1. In some countries, the serif at the top may be extended into a long upstroke as long as the vertical line. This variation can lead to confusion with the glyph used for
3237:"Articvli Defensionales Peremptoriales & Elisivi, Bvrgermaister vnd Raths zu Nürmberg, Contra Brandenburg, In causa die Fraiszlich Obrigkait [et]c: Produ. 7. Feb. Anno [et]c. 33"
694:, a determiner for singular nouns, and a gender-neutral pronoun. Historically, the representation of 1 evolved from ancient Sumerian and Babylonian symbols to the modern Arabic numeral.
682:. This fundamental property has led to its unique uses in other fields, ranging from science to sports, where it commonly denotes the first, leading, or top thing in a group. 1 is the
872:
4024:
964:. This is an example of a "base-1" number system, since only one mark – the tally itself – is needed, although base-1 is rarely used as a practical base for
838:
801:
4250:]. An excerpt of the treatise where Peano first presented his axioms, and recursively defined arithmetical operations. Turin: Fratres Bocca. pp. xvi, 1–20.
2383:
2047:
905:
3329:
2351:
2331:
1054:
Although 1 meets the naïve definition of a prime number, being evenly divisible only by 1 and itself (also 1), by modern convention it is regarded as neither a
763:
3506:
2067:
dating from the first half of the third millennium BCE. The
Archaic Sumerian numerals for 1 and 60 both consisted of horizontal semi-circular symbols. By
2261:
in other countries and so to provide a visual distinction between the two the digit 7 may be written with a horizontal stroke through the vertical line.
945:
The number 1 can be represented in decimal form by two recurring notations: 1.000..., where the digit 0 repeats infinitely after the decimal point, and
10989:
995:(i.e., vectors of magnitude one), because these often have more desirable properties. Functions, are often normalized by the condition that they have
697:
In mathematics, 1 is the multiplicative identity, meaning that any number multiplied by 1 equals the same number. 1 is by convention not considered a
10689:
4457:
4351:
4198:
4093:
4065:
4038:
3943:
3815:
3740:
3681:
3595:
3871:
4495:
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1990:
The various glyphs used to represent the number one, including Arabic numerals (1), Roman numerals (I), and
Chinese numerals (一), are
4406:
4225:
3979:
3914:
3887:
3847:
3566:
2724:
979:
from 0 to 1, where 1 usually represents the maximum possible value in the range of parameters. For example, by definition, 1 is the
914:
Different constructions of the natural numbers have different representations of 1. For example, in the original formulation of the
3718:
927:
10720:
4300:
4170:
4006:
3794:
3700:
3660:
3629:
2548:
2886:
2109:) eras. The Babylonian cuneiform script notation for numbers used the same symbol for 1 and 60 as in the Sumerian system.
2023:
594:
10979:
10766:
4129:
3536:
3494:
934:
containing all preceding numbers, with 1 represented as the singleton {0}. 1 is both the first and second number in the
3222:
10761:
10746:
10682:
3208:
1062:. Some mathematicians of the Middle Ages and Renaissance considered 1 a prime number. The 18th century mathematician
30:
2976:
4190:
4085:
4030:
3935:
3724:
3313:
2493:
10779:
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10900:
4314:. Semiotic Perspectives in the Teaching and Learning of Math Series. Vol. 1. Netherlands: Sense Publishers.
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3251:
2445:
3153:
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10785:
2398:
1829:
50:
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10712:
4443:
1025:
1 is the most common leading digit in many sets of data (occurring about 30% of the time), a consequence of
1019:
730:
381:
46:
40:
1994:. These symbols directly represent the concept of 'one' without breaking it down into phonetic components.
10969:
10789:
10738:
10675:
4488:
3606:
3503:
1338:
1007:
306:
4268:
4184:
3236:
10946:
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2513:(20 BC – AD 50) regarded the number one as God's number, and the basis for all numbers.
2157:
1011:
667:
2524:
2543:
10936:
10771:
4125:
3837:
2306:
2298:
957:
210:
26:
11030:
10995:
10905:
10814:
10809:
10803:
10795:
10756:
1856:
1015:
847:
713:. Philosophically, 1 symbolizes the ultimate reality or source of existence in various traditions.
702:
3531:
2474:
The number 1 is commonly regarded as a symbol of unity, often representing God or the universe in
10951:
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10799:
10716:
4141:
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1821:
1063:
923:
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683:
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11009:
10865:
4481:
4453:
4402:
4347:
4315:
4296:
4221:
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4166:
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4034:
4016:
4002:
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3883:
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3811:
3790:
3771:
3736:
3696:
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2422:
2406:
2294:
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2089:
1000:
931:
604:
526:
459:
447:
409:
4435:
Basic Math for Game
Development with Unity 3D: A Beginner's Guide to Mathematical Foundations
4333:
4079:
3965:
3929:
3805:
3671:
3326:
International vocabulary of metrology — Basic and general concepts and associated terms (VIM)
2248:
of a "lower-case" Roman numeral. It is also possible to find historic examples of the use of
2120:
at the top and sometimes a short horizontal line at the bottom. It can be traced back to the
810:
768:
10870:
10855:
4447:
4420:
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389:
183:
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4361:
4208:
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2356:
2095:
cuneiform decimal systems. Surviving
Babylonian documents date mostly from Old Babylonian (
435:
10999:
10884:
10860:
10775:
4424:
4412:
4398:
4357:
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3758:
3746:
3545:
3522:
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2310:
2302:
2121:
2113:
2112:
The most commonly used glyph in the modern
Western world to represent the number 1 is the
1848:
1033:
881:
675:
608:
582:
546:
476:
425:
393:
385:
193:
142:
129:
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2441:
2336:
2316:
2220:
do not have dedicated key for the numeral 1, requiring the use of the lowercase letter
2207:
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1956:
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1067:
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10536:
10531:
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10515:
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1864:
1799:
1327:
976:
908:
624:
612:
558:
397:
371:
293:
222:
217:
4370:
2497:, affirmed that one is not a number, but the source of number. In the philosophy of
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Semiotics in
Mathematics Education: Epistemology, History, Classroom, and Culture
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4855:
4850:
4845:
4832:
4827:
4822:
4817:
4812:
4807:
4802:
4797:
4792:
4787:
4774:
4769:
4764:
4759:
4754:
4749:
4744:
4739:
4734:
4729:
4716:
4711:
4706:
4701:
4696:
4691:
4686:
4681:
4676:
4671:
4658:
4653:
4648:
4643:
4638:
4633:
4628:
4623:
4618:
4329:
3857:
3714:
2270:
2064:
2060:
2039:
2027:
This
Woodstock typewriter from the 1940s lacks a separate key for the numeral 1.
1851:
used for counting and expressing the number of items in a collection of things.
1813:
1317:
1310:
1305:
1300:
1295:
1290:
1283:
1278:
1273:
1268:
1263:
1258:
1253:
1248:
1243:
1238:
1231:
992:
980:
841:
738:
706:
691:
358:
172:
169:
166:
163:
160:
157:
154:
151:
121:
2878:
2132:
in c. 250 BCE. This script's numeral shapes were transmitted to Europe via the
2031:
10931:
10890:
10742:
10642:
4343:
4218:
The
Essentials of Christian Thought: Seeing Reality through the Biblical Story
4048:
3879:
3652:
3418:
2553:
2520:
2484:
2475:
2469:
2290:
2286:
2278:
2217:
2195:
2137:
1972:
1226:
1221:
1216:
1211:
1206:
1201:
1196:
1191:
961:
634:
345:
271:
76:
68:
3587:
2745:
10637:
4103:
3090:
3073:
2429:
requires the integral of a wavefunction's squared modulus to be equal to 1.
2313:
as functions, where the Church numeral for 1 is represented by the function
2075:
971:
In many mathematical and engineering problems, numeric values are typically
875:
710:
536:
267:
3577:
729:, that is, by adding 1 to the previous natural number. The number 1 is the
3530:
Caldwell, Chris K.; Reddick, Angela; Xiong, Yeng; Keller, Wilfrid (2012).
2080:
286:
2968:
2506:
2498:
2488:
2449:
2437:
2293:
where "1" represents the value for "on". As such, the numerical value of
2282:
2177:
2149:
1991:
1984:
1980:
1976:
1964:
1960:
996:
965:
946:
939:
687:
4165:. Dover Books on Physics (reprint ed.). Courier Corporation, 2012.
3732:
3612:
Nature's
Harmonic Unity: A Treatise on Its Relation to Proportional Form
2182:
2180:
and designed to follow the rhythm of the lowercase, as, for example, in
10632:
4504:
4145:
3673:
Layout Workbook: A Real-World Guide to Building Pages in Graphic Design
2753:
2719:
2708:
La Vallée Poussin, C. Mém. Couronnés Acad. Roy. Belgique 59, 1–74, 1899
2402:
2152:, the shape of the character for the digit 1 is typically typeset as a
2133:
2085:
2056:
2007:
1968:
734:
229:
134:
3695:(illustrated, reprint ed.). Oxford, UK: Oxford University Press.
2538:
88:
10830:
10619:
10614:
10609:
10604:
10599:
10594:
10589:
10584:
10579:
3403:"From Abacus to Algorism: Theory and Practice in Medieval Arithmetic"
2202:, featuring parallel serifs at the top and bottom, while the capital
2125:
2012:
1893:
918:, 1 serves as the starting point in the sequence of natural numbers.
663:
319:
4293:
The Typewriter Revolution: A Typist's Companion for the 21st Century
4137:
2737:
938:
sequence (0 being the zeroth) and is the first number in many other
506:
2277:-2 numeral system with numbers represented by a sequence of 1s and
701:; this was not universally accepted until the mid-20th century. In
2510:
2274:
2117:
2053:
2030:
2022:
2006:
874:), and one raised to any power is always equal to 1. 1 is its own
671:
481:
332:
278:
4278:] (V ed.). Turin: Fratres Bocca. pp. xxxvi, 1–463.
2456:
of 1. Group 1 of the periodic table consists of hydrogen and the
10667:
22:
10671:
10512:
9915:
9318:
8721:
8124:
7527:
6930:
6333:
5736:
5139:
4515:
4477:
5152:
5141:
3129:
4060:. Cambridge, UK ; New York: Cambridge University Press.
3532:"The history of the primality of one: a selection of sources"
3225:
by Jan ten Hoorn. November 23, 1679 – via Google Books.
2285:, as pulses of electricity through switching devices such as
2281:. Digitised data is represented in physical devices, such as
4338:(2nd ed.). Basel, Switzerland: Birkhäuser. p. 36.
3787:
Human Factors Engineering and Ergonomics: A Systems Approach
3250:
August (Herzog), Braunschweig-Lüneburg (November 23, 1624).
2813:
2811:
2084:. The Sumerian cuneiform system is a direct ancestor to the
2052:
Among the earliest known record of a numeral system, is the
956:
The simplest way to represent the natural numbers is by the
4613:
4529:
4473:
3723:. Annals of Mathematics Studies. Vol. 199. Princeton:
3401:
British Society for the History of Science (July 1, 1977).
2078:
symbols, with 1 and 60 both represented by the same symbol
2074:, the older Sumerian curviform numerals were replaced with
148:
3768:
The Foundation of Reality: Fundamentality, Space, and Time
3019:
3017:
2829:
2042:
and represents the numeral 1 as similar to a small-caps I.
10835:
4599:
4592:
4585:
4578:
4571:
4564:
4557:
4550:
4536:
4517:
3615:. New York and London: G.P. Putnam's Sons. pp. 9–10.
2258:
2240:
2230:
2212:
907:), and 0! is also one 1. These are a special case of the
145:
118:
115:
112:
109:
106:
103:
100:
97:
91:
4220:. Grand Rapids, MI: Zondervan Academic. pp. 1–252.
2942:
2918:
2160:, such that the digit is the same height and width as a
4248:
The principles of arithmetic, presented by a new method
3676:. Gloucester, MA: Rockport Publishers. pp. 1–240.
3254:. Johann & Heinrich Stern – via Google Books.
2969:"Numerical Adjectives, Greek and Latin Number Prefixes"
721:
The number 1 is the first natural number after 0. Each
3693:
Nature's Building Blocks: An A-Z Guide to the Elements
3384:
3382:
3239:. Heußler. November 23, 1586 – via Google Books.
3104:
4310:
Radford, Luis; Schubring, Gert; Seeger, Falk (2008).
3766:
Glick, David; Darby, George; Marmodoro, Anna (2020).
2509:
is the ultimate reality and source of all existence.
2359:
2339:
2319:
2206:
retains a full-height form. This is a relic from the
884:
850:
813:
771:
751:
4335:
Prime Numbers and Computer Methods for Factorization
2672:
2588:
10914:
10823:
10705:
4056:Huddleston, Rodney D.; Pullum, Geoffrey K. (2002).
3349:
2401:are also known as quantities of dimension one. In
633:
623:
603:
593:
581:
569:
557:
545:
535:
525:
513:
499:
489:
475:
458:
446:
434:
424:
408:
380:
370:
357:
344:
331:
318:
305:
292:
277:
258:
248:
238:
228:
216:
204:
192:
182:
63:
4267:
4239:
3999:Handwriting Identification: Facts and Fundamentals
2377:
2345:
2325:
899:
866:
832:
795:
757:
4394:Elements of Algebra: Geometry, Numbers, Equations
3074:"Evidences of Hierarchy of Brahmi Numeral System"
3931:Lambda-Calculus and Combinators: An Introduction
3720:Weil's Conjecture for Function Fields (Volume I)
2930:
1871:. The determiner has two senses: numerical one (
2479:numbers to odd and vice versa by addition. The
930:of natural numbers, numbers are defined as the
21:This article is about the number. For the year
3561:(14th ed.). University of Chicago Press.
3407:The British Journal for the History of Science
2778:
2269:In digital technology, data is represented by
1955:, conveying a sense of solitude. Other common
10683:
4489:
4242:Arithmetices principia, nova methodo exposita
4058:The Cambridge grammar of the English language
3907:Programming Structures: Machines and programs
3624:(6th ed.). Malden, MA: Wiley-Blackwell.
3300:
3264:
2841:
2817:
2802:
1066:listed 1 as prime in his correspondence with
8:
3507:David R. Cheriton School of Computer Science
4163:Quantum Mechanics: Principles and Formalism
4026:A student's Introduction to English Grammar
3413:(2). Cambridge University Press: Abstract.
3059:
3047:
3035:
2684:
2124:script of ancient India, as represented by
922:later revised his axioms to state 1 is the
10985:
10975:
10690:
10676:
10668:
10509:
9912:
9315:
8718:
8121:
7524:
6927:
6330:
5733:
5136:
4512:
4496:
4482:
4474:
3909:. Vol. 1. Prentice Hall. p. 33.
2421:=1) to simplify the form of equations. In
2194:), the typeface for numeral 1 resembles a
2048:History of the Hindu–Arabic numeral system
3639:Conway, John H.; Guy, Richard K. (1996).
3622:A Dictionary of Linguistics and Phonetics
3579:Numerical Notation: A Comparitive History
3194:
3089:
3023:
2996:
2954:
2865:
2696:
2636:
2358:
2338:
2318:
883:
851:
849:
818:
812:
770:
750:
3582:. New York: Cambridge University Press.
3488:Caldwell, Chris K.; Xiong, Yeng (2012).
3276:
2790:
1537:
1334:
1077:
3997:Huber, Roy A.; Headrick, A. M. (1999).
3388:
3361:
3288:
3207:Köhler, Christian (November 23, 1693).
3182:
3078:Journal of the Institute of Engineering
3008:
2906:
2569:
2238:variant of a lower-case Roman numeral "
1975:), derived from Latin, or mono- (e.g.,
51:question marks, boxes, or other symbols
4186:Benford's law: theory and applications
3967:One to Nine: The Inner Life of Numbers
3373:
3116:
2943:Huddleston, Pullum & Reynolds 2022
2919:Huddleston, Pullum & Reynolds 2022
2853:
2766:
2648:
2624:
2576:
1040:algebraic groups over a number field.
60:
4432:Sung, Kelvin; Smith, Gregory (2019).
3647:. New York: Copernicus Publications.
3451:
2612:
2600:
2309:, natural numbers are represented by
2245:
2239:
2229:
2211:
2203:
2199:
1959:for the number 1 include uni- (e.g.,
1903:Words that derive their meaning from
7:
3170:
3154:"Why Old Typewriters Lack A "1" Key"
3105:Radford, Schubring & Seeger 2008
2720:"On Legendre's Prime Number Formula"
2660:
2487:'s number treatise, as recovered by
2038:, a typeface designed in 1991, uses
1050:Prime number § Primality of one
3502:(9, Article 12.9.7). Waterloo, CA:
1003:one, depending on the application.
765:multiplied by 1 remains unchanged (
3868:Undergraduate Texts in Mathematics
3209:"Der allzeitfertige Rechenmeister"
2673:Graham, Knuth & Patashnik 1988
2589:Graham, Knuth & Patashnik 1988
1915:in the sense of being by oneself,
983:of an event that is absolutely or
968:due to its difficult readability.
14:
3433:from the original on May 16, 2021
3350:Glick, Darby & Marmodoro 2020
2725:The American Mathematical Monthly
2128:as a simple vertical line in his
725:, including 1, is constructed by
705:, 1 represents the "on" state in
11004:
10994:
10984:
10974:
10965:
10964:
2523:
2244:", often employed for the final
2228:as substitutes. The lower case "
2181:
2116:, a vertical line, often with a
2079:
1892:used to refer to an unspecified
3934:(2nd ed.). Cambridge, UK:
3842:. Reading, MA: Addison-Wesley.
3557:Chicago, University of (1993).
2979:from the original on 2022-01-29
2889:from the original on 2013-12-30
1898:one should take care of oneself
928:Von Neumann cardinal assignment
10743:analytic theory of L-functions
10721:non-abelian class field theory
3928:; Seldin, Jonathan P. (2008).
3810:. Tata McGraw-Hill Education.
3785:Guastello, Stephen J. (2023).
2549:List of mathematical constants
2425:, the normalization condition
1896:or to people in general as in
674:. 1 is the first and smallest
1:
4452:. Evans Brothers. p. 9.
3576:Chrisomalis, Stephen (2010).
3490:"What is the smallest prime?"
3463:"De Allegoriis Legum", ii.12
2879:"Online Etymology Dictionary"
2164:. However, in typefaces with
2103:
2096:
2068:
867:{\displaystyle {\sqrt {1}}=1}
10767:Transcendental number theory
4130:Institute for Advanced Study
4114:(1988). "Tamagawa numbers".
3609:. In Coan, C. Arthur (ed.).
3537:Journal of Integer Sequences
3495:Journal of Integer Sequences
3158:Post Haste Telegraph Company
2931:Huddleston & Pullum 2002
1939:with the someone. Combining
678:of the infinite sequence of
10990:List of recreational topics
10762:Computational number theory
10747:probabilistic number theory
4029:(2nd ed.). Cambridge:
3804:Godbole, Achyut S. (2002).
3789:(3rd ed.). CRC press.
3770:. Oxford University Press.
3559:The Chicago Manual of Style
3477:Blokhintsev, D. I. (2012).
3072:Acharya, Eka Ratna (2018).
2440:, the first element of the
2176:), the glyph usually is of
2011:The 24-hour tower clock in
1074:Table of basic calculations
999:one, maximum value one, or
31:Number One (disambiguation)
11052:
4191:Princeton University Press
4086:Cambridge University Press
4081:Grammar: A Student's Guide
4031:Cambridge University Press
4023:; Reynolds, Brett (2022).
3972:W. W. Norton & Company
3936:Cambridge University Press
3725:Princeton University Press
2779:Gaitsgory & Lurie 2019
2494:Introduction to Arithmetic
2467:
2464:In philosophy and religion
2045:
1998:Symbols and representation
1797:
1047:
991:are often normalized into
20:
10960:
10942:Diophantine approximation
10901:Chinese remainder theorem
10628:
10575:
10522:
10508:
10446:
10388:
10330:
10272:
10214:
10156:
10098:
10040:
9982:
9924:
9911:
9849:
9791:
9733:
9675:
9617:
9559:
9501:
9443:
9385:
9327:
9314:
9252:
9194:
9136:
9078:
9020:
8962:
8904:
8846:
8788:
8730:
8717:
8655:
8597:
8539:
8481:
8423:
8365:
8307:
8249:
8191:
8133:
8120:
8058:
8000:
7942:
7884:
7826:
7768:
7710:
7652:
7594:
7536:
7523:
7461:
7403:
7345:
7287:
7229:
7171:
7113:
7055:
6997:
6939:
6926:
6864:
6806:
6748:
6690:
6632:
6574:
6516:
6458:
6400:
6342:
6329:
6267:
6209:
6151:
6093:
6035:
5977:
5919:
5861:
5803:
5745:
5732:
5670:
5612:
5554:
5496:
5438:
5380:
5322:
5264:
5206:
5148:
5135:
5073:
5015:
4957:
4899:
4841:
4783:
4725:
4667:
4609:
4524:
4511:
4344:10.1007/978-1-4612-0251-6
3880:10.1007/978-1-4757-1645-0
3807:Data Comms & Networks
3653:10.1007/978-1-4612-4072-3
3419:10.1017/S0007087400015375
3320:quantity of dimension one
3301:Hindley & Seldin 2008
3265:Huber & Headrick 1999
3211:– via Google Books.
3130:"Fonts by Hoefler&Co"
2842:Caldwell & Xiong 2012
2818:Caldwell & Xiong 2012
2803:Caldwell & Xiong 2012
2491:in the Latin translation
2216:represents 1. Many older
1835:(meaning "one, unique").
86:
10786:Arithmetic combinatorics
4295:. The Countryman Press.
4193:. pp. xxvi, 1–438.
3727:. pp. viii, 1–311.
3670:Cullen, Kristin (2007).
3588:10.1017/CBO9780511676062
2413:systems (for example in
2399:Dimensionless quantities
2140:during the Middle Ages
1830:Proto-Indo-European root
1010:, introduced in 1808 by
10757:Geometric number theory
10713:Algebraic number theory
3874:. pp. vii, 1–104.
3605:Colman, Samuel (1912).
3322:dimensionless quantity"
3091:10.3126/jie.v14i1.20077
2333:applied to an argument
1875:) and singulative one (
1020:prime-counting function
833:{\displaystyle 1^{2}=1}
796:{\displaystyle 1n=n1=n}
731:multiplicative identity
10876:Transcendental numbers
10790:additive number theory
10739:Analytic number theory
4401:. pp. xi, 1–181.
4291:Polt, Richard (2015).
4276:Mathematical Formulary
4270:Formulario Mathematico
3938:. pp. xi, 1–358.
3504:University of Waterloo
2967:Chrisomalis, Stephen.
2379:
2347:
2327:
2297:is equal to 1 in many
2234:" can be considered a
2043:
2028:
2020:
1987:) derived from Greek.
940:mathematical sequences
901:
868:
834:
803:). As a result, 1 own
797:
759:
745:, that is, any number
39:This article contains
25:, and other uses, see
10947:Irrationality measure
10937:Diophantine equations
10780:Hodge–Arakelov theory
4369:Stewart, Ian (2024).
4216:Olson, Roger (2017).
4161:McWeeny, Roy (1972).
4117:Annals of Mathematics
4017:Huddleston, Rodney D.
3691:Emsley, John (2001).
3544:(9): Article 12.9.8.
3024:Conway & Guy 1996
2997:Conway & Guy 1996
2955:Conway & Guy 1996
2866:Conway & Guy 1996
2718:Pintz, Janos (1980).
2697:Sung & Smith 2019
2380:
2378:{\displaystyle fx=fx}
2348:
2328:
2299:programming languages
2034:
2026:
2010:
1012:Adrien-Marie Legendre
902:
869:
835:
798:
760:
10906:Arithmetic functions
10772:Diophantine geometry
4126:Princeton University
4124:(3). Princeton, NJ:
3839:Concrete Mathematics
3620:Crystal, D. (2008).
2830:Caldwell et al. 2012
2485:Nicomachus of Gerasa
2357:
2337:
2317:
2307:computability theory
2102:) and the Seleucid (
1812:originates from the
1032:1 is the only known
987:to occur. Likewise,
958:unary numeral system
900:{\displaystyle 1!=1}
882:
848:
811:
769:
749:
709:, the foundation of
613:Chinese counting rod
27:One (disambiguation)
10952:Continued fractions
10815:Arithmetic dynamics
10810:Arithmetic topology
10804:P-adic Hodge theory
10796:Arithmetic geometry
10729:Iwasawa–Tate theory
4112:Kottwitz, Robert E.
4021:Pullum, Geoffrey K.
3733:10.2307/j.ctv4v32qc
3643:The Book of Numbers
2868:, pp. 129–130.
2781:, pp. 204–307.
2544:+1 (disambiguation)
2511:Philo of Alexandria
2501:(and that of other
2417:the speed of light
1855:is most commonly a
1820:, derived from the
1016:asymptotic behavior
1008:Legendre's constant
975:to fall within the
605:Egyptian hieroglyph
10896:Modular arithmetic
10866:Irrational numbers
10800:anabelian geometry
10717:class field theory
4449:Digital Technology
4371:"Number Symbolism"
4088:. pp. 1–288.
4033:. pp. 1–418.
3974:. pp. 1–330.
3905:Hext, Jan (1990).
3134:www.typography.com
2885:. Douglas Harper.
2531:Mathematics portal
2407:physical constants
2375:
2343:
2323:
2174:non-lining figures
2170:Old style numerals
2044:
2029:
2021:
1935:meaning to become
1911:, which signifies
1877:one day I'll do it
1064:Christian Goldbach
1006:1 is the value of
897:
864:
830:
793:
755:
703:digital technology
595:Babylonian numeral
41:special characters
11018:
11017:
10915:Advanced concepts
10871:Algebraic numbers
10856:Composite numbers
10665:
10664:
10661:
10660:
10504:
10503:
9907:
9906:
9310:
9309:
8713:
8712:
8116:
8115:
7519:
7518:
6922:
6921:
6325:
6324:
5728:
5727:
5131:
5130:
4459:978-0-237-52725-9
4353:978-0-8176-3743-9
4200:978-0-691-14761-1
4189:. Princeton, NJ:
4181:Miller, Steven J.
4095:978-0-521-45627-2
4084:. Cambridge, UK:
4076:Hurford, James R.
4067:978-0-521-43146-0
4040:978-1-316-51464-1
3945:978-1-139-473-248
3926:Hindley, J. Roger
3826:Graham, Ronald L.
3817:978-1-259-08223-8
3742:978-0-691-18213-1
3711:Gaitsgory, Dennis
3683:978-1-592-533-527
3597:978-0-521-87818-0
3480:Quantum Mechanics
2909:, pp. 23–24.
2423:quantum mechanics
2346:{\displaystyle x}
2326:{\displaystyle f}
2190:typefaces (e.g.,
2090:Assyro-Babylonian
2019:as a symbol for 1
1869:one day at a time
1791:
1790:
1536:
1535:
1333:
1332:
953:the same number.
856:
758:{\displaystyle n}
645:
644:
82:
81:
47:rendering support
11043:
11008:
10998:
10988:
10987:
10978:
10977:
10968:
10967:
10861:Rational numbers
10692:
10685:
10678:
10669:
10510:
9913:
9316:
8719:
8122:
7525:
6928:
6331:
5734:
5137:
4513:
4498:
4491:
4484:
4475:
4469:
4467:
4466:
4439:
4428:
4384:
4382:
4381:
4365:
4325:
4306:
4287:
4273:
4259:
4245:
4231:
4212:
4176:
4157:
4107:
4071:
4052:
4012:
3993:
3970:. New York, NY:
3957:
3920:
3901:
3863:Naive Set Theory
3853:
3830:Knuth, Donald E.
3821:
3800:
3781:
3762:
3706:
3687:
3666:
3635:
3616:
3601:
3572:
3553:
3526:
3484:
3464:
3461:
3455:
3449:
3443:
3442:
3440:
3438:
3398:
3392:
3386:
3377:
3371:
3365:
3359:
3353:
3347:
3341:
3340:
3338:
3337:
3310:
3304:
3298:
3292:
3286:
3280:
3274:
3268:
3262:
3256:
3255:
3247:
3241:
3240:
3233:
3227:
3226:
3219:
3213:
3212:
3204:
3198:
3192:
3186:
3180:
3174:
3168:
3162:
3161:
3160:. April 2, 2017.
3150:
3144:
3143:
3141:
3140:
3126:
3120:
3114:
3108:
3102:
3096:
3095:
3093:
3069:
3063:
3060:Chrisomalis 2010
3057:
3051:
3048:Chrisomalis 2010
3045:
3039:
3036:Chrisomalis 2010
3033:
3027:
3021:
3012:
3006:
3000:
2994:
2988:
2987:
2985:
2984:
2973:The Phrontistery
2964:
2958:
2952:
2946:
2940:
2934:
2928:
2922:
2916:
2910:
2904:
2898:
2897:
2895:
2894:
2875:
2869:
2863:
2857:
2851:
2845:
2839:
2833:
2827:
2821:
2815:
2806:
2800:
2794:
2788:
2782:
2776:
2770:
2764:
2758:
2757:
2715:
2709:
2706:
2700:
2694:
2688:
2685:Blokhintsev 2012
2682:
2676:
2670:
2664:
2658:
2652:
2646:
2640:
2634:
2628:
2622:
2616:
2610:
2604:
2598:
2592:
2586:
2580:
2574:
2533:
2528:
2527:
2446:abundant element
2409:are set to 1 in
2384:
2382:
2381:
2376:
2352:
2350:
2349:
2344:
2332:
2330:
2329:
2324:
2247:
2243:
2233:
2215:
2205:
2201:
2185:
2144:Modern typefaces
2130:Edicts of Ashoka
2108:
2105:
2101:
2098:
2083:
2073:
2070:
1957:numeral prefixes
1873:I have one apple
1843:Linguistically,
1538:
1473:
1467:
1461:
1455:
1449:
1438:
1429:
1423:
1411:
1335:
1078:
1060:composite number
1038:simply connected
906:
904:
903:
898:
873:
871:
870:
865:
857:
852:
839:
837:
836:
831:
823:
822:
802:
800:
799:
794:
764:
762:
761:
756:
676:positive integer
641:
619:
589:
577:
565:
553:
521:
509:
491:Japanese numeral
484:
466:
454:
442:
420:
404:
65:
64:
61:
11051:
11050:
11046:
11045:
11044:
11042:
11041:
11040:
11021:
11020:
11019:
11014:
10956:
10922:Quadratic forms
10910:
10885:P-adic analysis
10841:Natural numbers
10819:
10776:Arakelov theory
10701:
10696:
10666:
10657:
10624:
10571:
10518:
10500:
10442:
10384:
10326:
10268:
10210:
10152:
10094:
10036:
9978:
9920:
9903:
9845:
9787:
9729:
9671:
9613:
9555:
9497:
9439:
9381:
9323:
9306:
9248:
9190:
9132:
9074:
9016:
8958:
8900:
8842:
8784:
8726:
8709:
8651:
8593:
8535:
8477:
8419:
8361:
8303:
8245:
8187:
8129:
8112:
8054:
7996:
7938:
7880:
7822:
7764:
7706:
7648:
7590:
7532:
7515:
7457:
7399:
7341:
7283:
7225:
7167:
7109:
7051:
6993:
6935:
6918:
6860:
6802:
6744:
6686:
6628:
6570:
6512:
6454:
6396:
6338:
6321:
6263:
6205:
6147:
6089:
6031:
5973:
5915:
5857:
5799:
5741:
5724:
5666:
5608:
5550:
5492:
5434:
5376:
5318:
5260:
5202:
5144:
5127:
5069:
5011:
4953:
4895:
4837:
4779:
4721:
4663:
4605:
4520:
4507:
4502:
4472:
4464:
4462:
4460:
4444:Woodford, Chris
4442:
4431:
4409:
4399:Springer-Verlag
4389:Stillwell, John
4387:
4379:
4377:
4368:
4354:
4328:
4322:
4309:
4303:
4290:
4264:Peano, Giuseppe
4262:
4236:Peano, Giuseppe
4234:
4228:
4215:
4201:
4179:
4173:
4160:
4138:10.2307/2007007
4110:
4096:
4074:
4068:
4055:
4041:
4015:
4009:
3996:
3982:
3960:
3946:
3924:
3917:
3904:
3890:
3858:Halmos, Paul R.
3856:
3850:
3834:Patashnik, Oren
3824:
3818:
3803:
3797:
3784:
3778:
3765:
3743:
3709:
3703:
3690:
3684:
3669:
3663:
3638:
3632:
3619:
3604:
3598:
3575:
3569:
3556:
3529:
3487:
3476:
3472:
3467:
3462:
3458:
3450:
3446:
3436:
3434:
3400:
3399:
3395:
3387:
3380:
3372:
3368:
3360:
3356:
3348:
3344:
3335:
3333:
3312:
3311:
3307:
3299:
3295:
3287:
3283:
3275:
3271:
3267:, pp. 181.
3263:
3259:
3249:
3248:
3244:
3235:
3234:
3230:
3221:
3220:
3216:
3206:
3205:
3201:
3197:, pp. 453.
3193:
3189:
3181:
3177:
3173:, pp. 203.
3169:
3165:
3152:
3151:
3147:
3138:
3136:
3128:
3127:
3123:
3115:
3111:
3107:, pp. 147.
3103:
3099:
3071:
3070:
3066:
3058:
3054:
3046:
3042:
3034:
3030:
3022:
3015:
3007:
3003:
2995:
2991:
2982:
2980:
2966:
2965:
2961:
2957:, pp. 3–4.
2953:
2949:
2941:
2937:
2933:, pp. 386.
2929:
2925:
2917:
2913:
2905:
2901:
2892:
2890:
2877:
2876:
2872:
2864:
2860:
2852:
2848:
2844:, pp. 6–8.
2840:
2836:
2832:, pp. 6–7.
2828:
2824:
2816:
2809:
2805:, pp. 8–9.
2801:
2797:
2789:
2785:
2777:
2773:
2765:
2761:
2738:10.2307/2321863
2717:
2716:
2712:
2707:
2703:
2695:
2691:
2683:
2679:
2671:
2667:
2659:
2655:
2647:
2643:
2635:
2631:
2623:
2619:
2611:
2607:
2599:
2595:
2587:
2583:
2575:
2571:
2567:
2529:
2522:
2519:
2472:
2466:
2435:
2396:
2391:
2355:
2354:
2335:
2334:
2315:
2314:
2311:Church encoding
2303:lambda calculus
2267:
2168:(also known as
2146:
2106:
2100: 1500 BCE
2099:
2072: 2350 BCE
2071:
2050:
2005:
2000:
1971:), sol- (e.g.,
1849:cardinal number
1841:
1807:
1802:
1796:
1471:
1465:
1459:
1453:
1447:
1436:
1427:
1421:
1409:
1076:
1052:
1046:
1034:Tamagawa number
1014:to express the
1001:square integral
880:
879:
846:
845:
814:
809:
808:
767:
766:
747:
746:
743:complex numbers
719:
680:natural numbers
639:
617:
587:
575:
563:
551:
519:
505:
482:
464:
452:
440:
426:Chinese numeral
418:
402:
366:
353:
340:
327:
314:
301:
199:
178:
140:
139:
130:List of numbers
124:
59:
56:
55:
54:
45:Without proper
34:
19:
12:
11:
5:
11049:
11047:
11039:
11038:
11033:
11023:
11022:
11016:
11015:
11013:
11012:
11002:
10992:
10982:
10980:List of topics
10972:
10961:
10958:
10957:
10955:
10954:
10949:
10944:
10939:
10934:
10929:
10924:
10918:
10916:
10912:
10911:
10909:
10908:
10903:
10898:
10893:
10888:
10881:P-adic numbers
10878:
10873:
10868:
10863:
10858:
10853:
10848:
10843:
10838:
10833:
10827:
10825:
10821:
10820:
10818:
10817:
10812:
10807:
10793:
10783:
10769:
10764:
10759:
10754:
10736:
10725:Iwasawa theory
10709:
10707:
10703:
10702:
10697:
10695:
10694:
10687:
10680:
10672:
10663:
10662:
10659:
10658:
10656:
10655:
10650:
10645:
10640:
10635:
10629:
10626:
10625:
10623:
10622:
10617:
10612:
10607:
10602:
10597:
10592:
10587:
10582:
10576:
10573:
10572:
10570:
10569:
10564:
10559:
10554:
10549:
10544:
10539:
10534:
10529:
10523:
10520:
10519:
10513:
10506:
10505:
10502:
10501:
10499:
10498:
10493:
10488:
10483:
10478:
10473:
10468:
10463:
10458:
10453:
10447:
10444:
10443:
10441:
10440:
10435:
10430:
10425:
10420:
10415:
10410:
10405:
10400:
10395:
10389:
10386:
10385:
10383:
10382:
10377:
10372:
10367:
10362:
10357:
10352:
10347:
10342:
10337:
10331:
10328:
10327:
10325:
10324:
10319:
10314:
10309:
10304:
10299:
10294:
10289:
10284:
10279:
10273:
10270:
10269:
10267:
10266:
10261:
10256:
10251:
10246:
10241:
10236:
10231:
10226:
10221:
10215:
10212:
10211:
10209:
10208:
10203:
10198:
10193:
10188:
10183:
10178:
10173:
10168:
10163:
10157:
10154:
10153:
10151:
10150:
10145:
10140:
10135:
10130:
10125:
10120:
10115:
10110:
10105:
10099:
10096:
10095:
10093:
10092:
10087:
10082:
10077:
10072:
10067:
10062:
10057:
10052:
10047:
10041:
10038:
10037:
10035:
10034:
10029:
10024:
10019:
10014:
10009:
10004:
9999:
9994:
9989:
9983:
9980:
9979:
9977:
9976:
9971:
9966:
9961:
9956:
9951:
9946:
9941:
9936:
9931:
9925:
9922:
9921:
9916:
9909:
9908:
9905:
9904:
9902:
9901:
9896:
9891:
9886:
9881:
9876:
9871:
9866:
9861:
9856:
9850:
9847:
9846:
9844:
9843:
9838:
9833:
9828:
9823:
9818:
9813:
9808:
9803:
9798:
9792:
9789:
9788:
9786:
9785:
9780:
9775:
9770:
9765:
9760:
9755:
9750:
9745:
9740:
9734:
9731:
9730:
9728:
9727:
9722:
9717:
9712:
9707:
9702:
9697:
9692:
9687:
9682:
9676:
9673:
9672:
9670:
9669:
9664:
9659:
9654:
9649:
9644:
9639:
9634:
9629:
9624:
9618:
9615:
9614:
9612:
9611:
9606:
9601:
9596:
9591:
9586:
9581:
9576:
9571:
9566:
9560:
9557:
9556:
9554:
9553:
9548:
9543:
9538:
9533:
9528:
9523:
9518:
9513:
9508:
9502:
9499:
9498:
9496:
9495:
9490:
9485:
9480:
9475:
9470:
9465:
9460:
9455:
9450:
9444:
9441:
9440:
9438:
9437:
9432:
9427:
9422:
9417:
9412:
9407:
9402:
9397:
9392:
9386:
9383:
9382:
9380:
9379:
9374:
9369:
9364:
9359:
9354:
9349:
9344:
9339:
9334:
9328:
9325:
9324:
9319:
9312:
9311:
9308:
9307:
9305:
9304:
9299:
9294:
9289:
9284:
9279:
9274:
9269:
9264:
9259:
9253:
9250:
9249:
9247:
9246:
9241:
9236:
9231:
9226:
9221:
9216:
9211:
9206:
9201:
9195:
9192:
9191:
9189:
9188:
9183:
9178:
9173:
9168:
9163:
9158:
9153:
9148:
9143:
9137:
9134:
9133:
9131:
9130:
9125:
9120:
9115:
9110:
9105:
9100:
9095:
9090:
9085:
9079:
9076:
9075:
9073:
9072:
9067:
9062:
9057:
9052:
9047:
9042:
9037:
9032:
9027:
9021:
9018:
9017:
9015:
9014:
9009:
9004:
8999:
8994:
8989:
8984:
8979:
8974:
8969:
8963:
8960:
8959:
8957:
8956:
8951:
8946:
8941:
8936:
8931:
8926:
8921:
8916:
8911:
8905:
8902:
8901:
8899:
8898:
8893:
8888:
8883:
8878:
8873:
8868:
8863:
8858:
8853:
8847:
8844:
8843:
8841:
8840:
8835:
8830:
8825:
8820:
8815:
8810:
8805:
8800:
8795:
8789:
8786:
8785:
8783:
8782:
8777:
8772:
8767:
8762:
8757:
8752:
8747:
8742:
8737:
8731:
8728:
8727:
8722:
8715:
8714:
8711:
8710:
8708:
8707:
8702:
8697:
8692:
8687:
8682:
8677:
8672:
8667:
8662:
8656:
8653:
8652:
8650:
8649:
8644:
8639:
8634:
8629:
8624:
8619:
8614:
8609:
8604:
8598:
8595:
8594:
8592:
8591:
8586:
8581:
8576:
8571:
8566:
8561:
8556:
8551:
8546:
8540:
8537:
8536:
8534:
8533:
8528:
8523:
8518:
8513:
8508:
8503:
8498:
8493:
8488:
8482:
8479:
8478:
8476:
8475:
8470:
8465:
8460:
8455:
8450:
8445:
8440:
8435:
8430:
8424:
8421:
8420:
8418:
8417:
8412:
8407:
8402:
8397:
8392:
8387:
8382:
8377:
8372:
8366:
8363:
8362:
8360:
8359:
8354:
8349:
8344:
8339:
8334:
8329:
8324:
8319:
8314:
8308:
8305:
8304:
8302:
8301:
8296:
8291:
8286:
8281:
8276:
8271:
8266:
8261:
8256:
8250:
8247:
8246:
8244:
8243:
8238:
8233:
8228:
8223:
8218:
8213:
8208:
8203:
8198:
8192:
8189:
8188:
8186:
8185:
8180:
8175:
8170:
8165:
8160:
8155:
8150:
8145:
8140:
8134:
8131:
8130:
8125:
8118:
8117:
8114:
8113:
8111:
8110:
8105:
8100:
8095:
8090:
8085:
8080:
8075:
8070:
8065:
8059:
8056:
8055:
8053:
8052:
8047:
8042:
8037:
8032:
8027:
8022:
8017:
8012:
8007:
8001:
7998:
7997:
7995:
7994:
7989:
7984:
7979:
7974:
7969:
7964:
7959:
7954:
7949:
7943:
7940:
7939:
7937:
7936:
7931:
7926:
7921:
7916:
7911:
7906:
7901:
7896:
7891:
7885:
7882:
7881:
7879:
7878:
7873:
7868:
7863:
7858:
7853:
7848:
7843:
7838:
7833:
7827:
7824:
7823:
7821:
7820:
7815:
7810:
7805:
7800:
7795:
7790:
7785:
7780:
7775:
7769:
7766:
7765:
7763:
7762:
7757:
7752:
7747:
7742:
7737:
7732:
7727:
7722:
7717:
7711:
7708:
7707:
7705:
7704:
7699:
7694:
7689:
7684:
7679:
7674:
7669:
7664:
7659:
7653:
7650:
7649:
7647:
7646:
7641:
7636:
7631:
7626:
7621:
7616:
7611:
7606:
7601:
7595:
7592:
7591:
7589:
7588:
7583:
7578:
7573:
7568:
7563:
7558:
7553:
7548:
7543:
7537:
7534:
7533:
7528:
7521:
7520:
7517:
7516:
7514:
7513:
7508:
7503:
7498:
7493:
7488:
7483:
7478:
7473:
7468:
7462:
7459:
7458:
7456:
7455:
7450:
7445:
7440:
7435:
7430:
7425:
7420:
7415:
7410:
7404:
7401:
7400:
7398:
7397:
7392:
7387:
7382:
7377:
7372:
7367:
7362:
7357:
7352:
7346:
7343:
7342:
7340:
7339:
7334:
7329:
7324:
7319:
7314:
7309:
7304:
7299:
7294:
7288:
7285:
7284:
7282:
7281:
7276:
7271:
7266:
7261:
7256:
7251:
7246:
7241:
7236:
7230:
7227:
7226:
7224:
7223:
7218:
7213:
7208:
7203:
7198:
7193:
7188:
7183:
7178:
7172:
7169:
7168:
7166:
7165:
7160:
7155:
7150:
7145:
7140:
7135:
7130:
7125:
7120:
7114:
7111:
7110:
7108:
7107:
7102:
7097:
7092:
7087:
7082:
7077:
7072:
7067:
7062:
7056:
7053:
7052:
7050:
7049:
7044:
7039:
7034:
7029:
7024:
7019:
7014:
7009:
7004:
6998:
6995:
6994:
6992:
6991:
6986:
6981:
6976:
6971:
6966:
6961:
6956:
6951:
6946:
6940:
6937:
6936:
6931:
6924:
6923:
6920:
6919:
6917:
6916:
6911:
6906:
6901:
6896:
6891:
6886:
6881:
6876:
6871:
6865:
6862:
6861:
6859:
6858:
6853:
6848:
6843:
6838:
6833:
6828:
6823:
6818:
6813:
6807:
6804:
6803:
6801:
6800:
6795:
6790:
6785:
6780:
6775:
6770:
6765:
6760:
6755:
6749:
6746:
6745:
6743:
6742:
6737:
6732:
6727:
6722:
6717:
6712:
6707:
6702:
6697:
6691:
6688:
6687:
6685:
6684:
6679:
6674:
6669:
6664:
6659:
6654:
6649:
6644:
6639:
6633:
6630:
6629:
6627:
6626:
6621:
6616:
6611:
6606:
6601:
6596:
6591:
6586:
6581:
6575:
6572:
6571:
6569:
6568:
6563:
6558:
6553:
6548:
6543:
6538:
6533:
6528:
6523:
6517:
6514:
6513:
6511:
6510:
6505:
6500:
6495:
6490:
6485:
6480:
6475:
6470:
6465:
6459:
6456:
6455:
6453:
6452:
6447:
6442:
6437:
6432:
6427:
6422:
6417:
6412:
6407:
6401:
6398:
6397:
6395:
6394:
6389:
6384:
6379:
6374:
6369:
6364:
6359:
6354:
6349:
6343:
6340:
6339:
6334:
6327:
6326:
6323:
6322:
6320:
6319:
6314:
6309:
6304:
6299:
6294:
6289:
6284:
6279:
6274:
6268:
6265:
6264:
6262:
6261:
6256:
6251:
6246:
6241:
6236:
6231:
6226:
6221:
6216:
6210:
6207:
6206:
6204:
6203:
6198:
6193:
6188:
6183:
6178:
6173:
6168:
6163:
6158:
6152:
6149:
6148:
6146:
6145:
6140:
6135:
6130:
6125:
6120:
6115:
6110:
6105:
6100:
6094:
6091:
6090:
6088:
6087:
6082:
6077:
6072:
6067:
6062:
6057:
6052:
6047:
6042:
6036:
6033:
6032:
6030:
6029:
6024:
6019:
6014:
6009:
6004:
5999:
5994:
5989:
5984:
5978:
5975:
5974:
5972:
5971:
5966:
5961:
5956:
5951:
5946:
5941:
5936:
5931:
5926:
5920:
5917:
5916:
5914:
5913:
5908:
5903:
5898:
5893:
5888:
5883:
5878:
5873:
5868:
5862:
5859:
5858:
5856:
5855:
5850:
5845:
5840:
5835:
5830:
5825:
5820:
5815:
5810:
5804:
5801:
5800:
5798:
5797:
5792:
5787:
5782:
5777:
5772:
5767:
5762:
5757:
5752:
5746:
5743:
5742:
5737:
5730:
5729:
5726:
5725:
5723:
5722:
5717:
5712:
5707:
5702:
5697:
5692:
5687:
5682:
5677:
5671:
5668:
5667:
5665:
5664:
5659:
5654:
5649:
5644:
5639:
5634:
5629:
5624:
5619:
5613:
5610:
5609:
5607:
5606:
5601:
5596:
5591:
5586:
5581:
5576:
5571:
5566:
5561:
5555:
5552:
5551:
5549:
5548:
5543:
5538:
5533:
5528:
5523:
5518:
5513:
5508:
5503:
5497:
5494:
5493:
5491:
5490:
5485:
5480:
5475:
5470:
5465:
5460:
5455:
5450:
5445:
5439:
5436:
5435:
5433:
5432:
5427:
5422:
5417:
5412:
5407:
5402:
5397:
5392:
5387:
5381:
5378:
5377:
5375:
5374:
5369:
5364:
5359:
5354:
5349:
5344:
5339:
5334:
5329:
5323:
5320:
5319:
5317:
5316:
5311:
5306:
5301:
5296:
5291:
5286:
5281:
5276:
5271:
5265:
5262:
5261:
5259:
5258:
5253:
5248:
5243:
5238:
5233:
5228:
5223:
5218:
5213:
5207:
5204:
5203:
5201:
5200:
5195:
5190:
5185:
5180:
5175:
5170:
5165:
5160:
5155:
5149:
5146:
5145:
5140:
5133:
5132:
5129:
5128:
5126:
5125:
5120:
5115:
5110:
5105:
5100:
5095:
5090:
5085:
5080:
5074:
5071:
5070:
5068:
5067:
5062:
5057:
5052:
5047:
5042:
5037:
5032:
5027:
5022:
5016:
5013:
5012:
5010:
5009:
5004:
4999:
4994:
4989:
4984:
4979:
4974:
4969:
4964:
4958:
4955:
4954:
4952:
4951:
4946:
4941:
4936:
4931:
4926:
4921:
4916:
4911:
4906:
4900:
4897:
4896:
4894:
4893:
4888:
4883:
4878:
4873:
4868:
4863:
4858:
4853:
4848:
4842:
4839:
4838:
4836:
4835:
4830:
4825:
4820:
4815:
4810:
4805:
4800:
4795:
4790:
4784:
4781:
4780:
4778:
4777:
4772:
4767:
4762:
4757:
4752:
4747:
4742:
4737:
4732:
4726:
4723:
4722:
4720:
4719:
4714:
4709:
4704:
4699:
4694:
4689:
4684:
4679:
4674:
4668:
4665:
4664:
4662:
4661:
4656:
4651:
4646:
4641:
4636:
4631:
4626:
4621:
4616:
4610:
4607:
4606:
4604:
4603:
4596:
4589:
4582:
4575:
4568:
4561:
4554:
4547:
4540:
4533:
4525:
4522:
4521:
4516:
4509:
4508:
4503:
4501:
4500:
4493:
4486:
4478:
4471:
4470:
4458:
4440:
4429:
4407:
4385:
4366:
4352:
4326:
4321:978-9087905972
4320:
4307:
4301:
4288:
4260:
4232:
4226:
4213:
4199:
4183:, ed. (2015).
4177:
4171:
4158:
4108:
4094:
4072:
4066:
4053:
4039:
4013:
4007:
3994:
3980:
3962:Hodges, Andrew
3958:
3944:
3922:
3915:
3902:
3888:
3854:
3848:
3822:
3816:
3801:
3795:
3782:
3777:978-0198831501
3776:
3763:
3741:
3707:
3701:
3688:
3682:
3667:
3661:
3636:
3630:
3617:
3602:
3596:
3573:
3567:
3554:
3527:
3485:
3473:
3471:
3468:
3466:
3465:
3456:
3444:
3393:
3378:
3366:
3364:, pp. 14.
3354:
3352:, pp. 99.
3342:
3305:
3293:
3281:
3269:
3257:
3242:
3228:
3214:
3199:
3195:Guastello 2023
3187:
3185:, pp. 52.
3175:
3163:
3145:
3121:
3109:
3097:
3064:
3062:, p. 249.
3052:
3050:, p. 244.
3040:
3038:, p. 241.
3028:
3013:
3001:
2989:
2959:
2947:
2945:, p. 140.
2935:
2923:
2921:, p. 117.
2911:
2899:
2883:etymonline.com
2870:
2858:
2856:, pp. 36.
2846:
2834:
2822:
2807:
2795:
2783:
2771:
2759:
2732:(9): 733–735.
2710:
2701:
2689:
2677:
2675:, p. 381.
2665:
2653:
2641:
2637:Stillwell 1994
2629:
2617:
2605:
2593:
2591:, p. 111.
2581:
2568:
2566:
2563:
2562:
2561:
2556:
2551:
2546:
2541:
2535:
2534:
2518:
2515:
2481:Neopythagorean
2468:Main article:
2465:
2462:
2442:periodic table
2434:
2431:
2395:
2392:
2390:
2387:
2374:
2371:
2368:
2365:
2362:
2342:
2322:
2266:
2263:
2208:Roman numerals
2162:capital letter
2145:
2142:
2114:Arabic numeral
2107: 300 BCE
2004:
2001:
1999:
1996:
1887:gender-neutral
1840:
1837:
1806:
1803:
1795:
1792:
1789:
1788:
1785:
1782:
1779:
1776:
1773:
1770:
1767:
1764:
1761:
1758:
1756:
1753:
1750:
1747:
1744:
1741:
1738:
1735:
1732:
1729:
1724:
1716:
1715:
1710:
1705:
1700:
1695:
1690:
1685:
1680:
1675:
1670:
1665:
1663:
1658:
1653:
1648:
1643:
1638:
1633:
1628:
1623:
1618:
1613:
1607:
1606:
1603:
1600:
1597:
1594:
1591:
1588:
1585:
1582:
1579:
1576:
1574:
1571:
1568:
1565:
1562:
1559:
1556:
1553:
1550:
1547:
1544:
1542:Exponentiation
1534:
1533:
1530:
1527:
1524:
1521:
1518:
1516:
1513:
1510:
1507:
1504:
1501:
1498:
1495:
1492:
1489:
1484:
1475:
1474:
1468:
1462:
1456:
1450:
1444:
1442:
1439:
1433:
1430:
1424:
1418:
1415:
1412:
1406:
1403:
1398:
1389:
1388:
1385:
1382:
1379:
1376:
1373:
1371:
1368:
1365:
1362:
1359:
1356:
1353:
1350:
1347:
1344:
1341:
1331:
1330:
1325:
1320:
1315:
1313:
1308:
1303:
1298:
1293:
1288:
1286:
1281:
1276:
1271:
1266:
1261:
1256:
1251:
1246:
1241:
1236:
1234:
1229:
1224:
1219:
1214:
1209:
1204:
1199:
1194:
1189:
1184:
1175:
1174:
1171:
1168:
1165:
1163:
1160:
1157:
1154:
1151:
1148:
1146:
1143:
1140:
1137:
1134:
1131:
1128:
1125:
1122:
1119:
1116:
1114:
1111:
1108:
1105:
1102:
1099:
1096:
1093:
1090:
1087:
1084:
1082:Multiplication
1075:
1072:
1068:Leonhard Euler
1048:Main article:
1045:
1042:
985:almost certain
952:
896:
893:
890:
887:
863:
860:
855:
829:
826:
821:
817:
792:
789:
786:
783:
780:
777:
774:
754:
723:natural number
718:
717:In mathematics
715:
643:
642:
637:
631:
630:
627:
621:
620:
615:
609:Aegean numeral
601:
600:
597:
591:
590:
585:
579:
578:
573:
567:
566:
561:
555:
554:
549:
543:
542:
539:
533:
532:
529:
523:
522:
517:
511:
510:
503:
497:
496:
493:
487:
486:
479:
473:
472:
462:
456:
455:
450:
444:
443:
438:
432:
431:
428:
422:
421:
416:
406:
405:
400:
378:
377:
374:
368:
367:
364:
361:
355:
354:
351:
348:
342:
341:
338:
335:
329:
328:
325:
322:
316:
315:
312:
309:
303:
302:
299:
296:
290:
289:
284:
275:
274:
265:
256:
255:
252:
246:
245:
242:
236:
235:
232:
226:
225:
220:
214:
213:
208:
206:Numeral system
202:
201:
196:
190:
189:
186:
180:
179:
141:
138:
137:
132:
126:
125:
87:
84:
83:
80:
79:
74:
71:
58:Natural number
57:
49:, you may see
37:
36:
35:
17:
13:
10:
9:
6:
4:
3:
2:
11048:
11037:
11034:
11032:
11029:
11028:
11026:
11011:
11007:
11003:
11001:
10997:
10993:
10991:
10983:
10981:
10973:
10971:
10963:
10962:
10959:
10953:
10950:
10948:
10945:
10943:
10940:
10938:
10935:
10933:
10930:
10928:
10927:Modular forms
10925:
10923:
10920:
10919:
10917:
10913:
10907:
10904:
10902:
10899:
10897:
10894:
10892:
10889:
10886:
10882:
10879:
10877:
10874:
10872:
10869:
10867:
10864:
10862:
10859:
10857:
10854:
10852:
10851:Prime numbers
10849:
10847:
10844:
10842:
10839:
10837:
10834:
10832:
10829:
10828:
10826:
10822:
10816:
10813:
10811:
10808:
10805:
10801:
10797:
10794:
10791:
10787:
10784:
10781:
10777:
10773:
10770:
10768:
10765:
10763:
10760:
10758:
10755:
10752:
10748:
10744:
10740:
10737:
10734:
10733:Kummer theory
10730:
10726:
10722:
10718:
10714:
10711:
10710:
10708:
10704:
10700:
10699:Number theory
10693:
10688:
10686:
10681:
10679:
10674:
10673:
10670:
10654:
10653:1,000,000,000
10651:
10649:
10646:
10644:
10641:
10639:
10636:
10634:
10631:
10630:
10627:
10621:
10618:
10616:
10613:
10611:
10608:
10606:
10603:
10601:
10598:
10596:
10593:
10591:
10588:
10586:
10583:
10581:
10578:
10577:
10574:
10568:
10565:
10563:
10560:
10558:
10555:
10553:
10550:
10548:
10545:
10543:
10540:
10538:
10535:
10533:
10530:
10528:
10525:
10524:
10521:
10517:
10511:
10507:
10497:
10494:
10492:
10489:
10487:
10484:
10482:
10479:
10477:
10474:
10472:
10469:
10467:
10464:
10462:
10459:
10457:
10454:
10452:
10449:
10448:
10445:
10439:
10436:
10434:
10431:
10429:
10426:
10424:
10421:
10419:
10416:
10414:
10411:
10409:
10406:
10404:
10401:
10399:
10396:
10394:
10391:
10390:
10387:
10381:
10378:
10376:
10373:
10371:
10368:
10366:
10363:
10361:
10358:
10356:
10353:
10351:
10348:
10346:
10343:
10341:
10338:
10336:
10333:
10332:
10329:
10323:
10320:
10318:
10315:
10313:
10310:
10308:
10305:
10303:
10300:
10298:
10295:
10293:
10290:
10288:
10285:
10283:
10280:
10278:
10275:
10274:
10271:
10265:
10262:
10260:
10257:
10255:
10252:
10250:
10247:
10245:
10242:
10240:
10237:
10235:
10232:
10230:
10227:
10225:
10222:
10220:
10217:
10216:
10213:
10207:
10204:
10202:
10199:
10197:
10194:
10192:
10189:
10187:
10184:
10182:
10179:
10177:
10174:
10172:
10169:
10167:
10164:
10162:
10159:
10158:
10155:
10149:
10146:
10144:
10141:
10139:
10136:
10134:
10131:
10129:
10126:
10124:
10121:
10119:
10116:
10114:
10111:
10109:
10106:
10104:
10101:
10100:
10097:
10091:
10088:
10086:
10083:
10081:
10078:
10076:
10073:
10071:
10068:
10066:
10063:
10061:
10058:
10056:
10053:
10051:
10048:
10046:
10043:
10042:
10039:
10033:
10030:
10028:
10025:
10023:
10020:
10018:
10015:
10013:
10010:
10008:
10005:
10003:
10000:
9998:
9995:
9993:
9990:
9988:
9985:
9984:
9981:
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5587:
5585:
5582:
5580:
5577:
5575:
5572:
5570:
5567:
5565:
5562:
5560:
5557:
5556:
5553:
5547:
5544:
5542:
5539:
5537:
5534:
5532:
5529:
5527:
5524:
5522:
5519:
5517:
5514:
5512:
5509:
5507:
5504:
5502:
5499:
5498:
5495:
5489:
5486:
5484:
5481:
5479:
5476:
5474:
5471:
5469:
5466:
5464:
5461:
5459:
5456:
5454:
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5446:
5444:
5441:
5440:
5437:
5431:
5428:
5426:
5423:
5421:
5418:
5416:
5413:
5411:
5408:
5406:
5403:
5401:
5398:
5396:
5393:
5391:
5388:
5386:
5383:
5382:
5379:
5373:
5370:
5368:
5365:
5363:
5360:
5358:
5355:
5353:
5350:
5348:
5345:
5343:
5340:
5338:
5335:
5333:
5330:
5328:
5325:
5324:
5321:
5315:
5312:
5310:
5307:
5305:
5302:
5300:
5297:
5295:
5292:
5290:
5287:
5285:
5282:
5280:
5277:
5275:
5272:
5270:
5267:
5266:
5263:
5257:
5254:
5252:
5249:
5247:
5244:
5242:
5239:
5237:
5234:
5232:
5229:
5227:
5224:
5222:
5219:
5217:
5214:
5212:
5209:
5208:
5205:
5199:
5196:
5194:
5191:
5189:
5186:
5184:
5181:
5179:
5176:
5174:
5171:
5169:
5166:
5164:
5161:
5159:
5156:
5154:
5151:
5150:
5147:
5143:
5138:
5134:
5124:
5121:
5119:
5116:
5114:
5111:
5109:
5106:
5104:
5101:
5099:
5096:
5094:
5091:
5089:
5086:
5084:
5081:
5079:
5076:
5075:
5072:
5066:
5063:
5061:
5058:
5056:
5053:
5051:
5048:
5046:
5043:
5041:
5038:
5036:
5033:
5031:
5028:
5026:
5023:
5021:
5018:
5017:
5014:
5008:
5005:
5003:
5000:
4998:
4995:
4993:
4990:
4988:
4985:
4983:
4980:
4978:
4975:
4973:
4970:
4968:
4965:
4963:
4960:
4959:
4956:
4950:
4947:
4945:
4942:
4940:
4937:
4935:
4932:
4930:
4927:
4925:
4922:
4920:
4917:
4915:
4912:
4910:
4907:
4905:
4902:
4901:
4898:
4892:
4889:
4887:
4884:
4882:
4879:
4877:
4874:
4872:
4869:
4867:
4864:
4862:
4859:
4857:
4854:
4852:
4849:
4847:
4844:
4843:
4840:
4834:
4831:
4829:
4826:
4824:
4821:
4819:
4816:
4814:
4811:
4809:
4806:
4804:
4801:
4799:
4796:
4794:
4791:
4789:
4786:
4785:
4782:
4776:
4773:
4771:
4768:
4766:
4763:
4761:
4758:
4756:
4753:
4751:
4748:
4746:
4743:
4741:
4738:
4736:
4733:
4731:
4728:
4727:
4724:
4718:
4715:
4713:
4710:
4708:
4705:
4703:
4700:
4698:
4695:
4693:
4690:
4688:
4685:
4683:
4680:
4678:
4675:
4673:
4670:
4669:
4666:
4660:
4657:
4655:
4652:
4650:
4647:
4645:
4642:
4640:
4637:
4635:
4632:
4630:
4627:
4625:
4622:
4620:
4617:
4615:
4612:
4611:
4608:
4601:
4597:
4594:
4590:
4587:
4583:
4580:
4576:
4573:
4569:
4566:
4562:
4559:
4555:
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4548:
4545:
4541:
4538:
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4527:
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4523:
4519:
4514:
4510:
4506:
4499:
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4492:
4487:
4485:
4480:
4479:
4476:
4461:
4455:
4451:
4450:
4445:
4441:
4437:
4436:
4430:
4426:
4422:
4418:
4414:
4410:
4408:9783540942900
4404:
4400:
4396:
4395:
4390:
4386:
4376:
4372:
4367:
4363:
4359:
4355:
4349:
4345:
4341:
4337:
4336:
4331:
4327:
4323:
4317:
4313:
4308:
4304:
4298:
4294:
4289:
4285:
4281:
4277:
4272:
4271:
4265:
4261:
4257:
4253:
4249:
4244:
4243:
4237:
4233:
4229:
4227:9780310521563
4223:
4219:
4214:
4210:
4206:
4202:
4196:
4192:
4188:
4187:
4182:
4178:
4174:
4168:
4164:
4159:
4155:
4151:
4147:
4143:
4139:
4135:
4131:
4127:
4123:
4119:
4118:
4113:
4109:
4105:
4101:
4097:
4091:
4087:
4083:
4082:
4077:
4073:
4069:
4063:
4059:
4054:
4050:
4046:
4042:
4036:
4032:
4028:
4027:
4022:
4018:
4014:
4010:
4004:
4001:. CRC Press.
4000:
3995:
3991:
3987:
3983:
3981:9780385672665
3977:
3973:
3969:
3968:
3963:
3959:
3955:
3951:
3947:
3941:
3937:
3933:
3932:
3927:
3923:
3918:
3916:9780724809400
3912:
3908:
3903:
3899:
3895:
3891:
3889:0-387-90092-6
3885:
3881:
3877:
3873:
3869:
3865:
3864:
3859:
3855:
3851:
3849:0-201-14236-8
3845:
3841:
3840:
3835:
3831:
3827:
3823:
3819:
3813:
3809:
3808:
3802:
3798:
3792:
3788:
3783:
3779:
3773:
3769:
3764:
3760:
3756:
3752:
3748:
3744:
3738:
3734:
3730:
3726:
3722:
3721:
3716:
3712:
3708:
3704:
3698:
3694:
3689:
3685:
3679:
3675:
3674:
3668:
3664:
3658:
3654:
3650:
3646:
3645:
3642:
3637:
3633:
3627:
3623:
3618:
3614:
3611:
3608:
3603:
3599:
3593:
3589:
3585:
3581:
3580:
3574:
3570:
3568:0-226-10389-7
3564:
3560:
3555:
3551:
3547:
3543:
3539:
3538:
3533:
3528:
3524:
3520:
3516:
3512:
3508:
3505:
3501:
3497:
3496:
3491:
3486:
3482:
3481:
3475:
3474:
3469:
3460:
3457:
3453:
3448:
3445:
3432:
3428:
3424:
3420:
3416:
3412:
3408:
3404:
3397:
3394:
3390:
3385:
3383:
3379:
3375:
3370:
3367:
3363:
3358:
3355:
3351:
3346:
3343:
3331:
3327:
3323:
3321:
3317:
3309:
3306:
3303:, p. 48.
3302:
3297:
3294:
3291:, p. 34.
3290:
3285:
3282:
3278:
3277:Woodford 2006
3273:
3270:
3266:
3261:
3258:
3253:
3246:
3243:
3238:
3232:
3229:
3224:
3218:
3215:
3210:
3203:
3200:
3196:
3191:
3188:
3184:
3179:
3176:
3172:
3167:
3164:
3159:
3155:
3149:
3146:
3135:
3131:
3125:
3122:
3119:, p. 93.
3118:
3113:
3110:
3106:
3101:
3098:
3092:
3087:
3083:
3079:
3075:
3068:
3065:
3061:
3056:
3053:
3049:
3044:
3041:
3037:
3032:
3029:
3026:, p. 17.
3025:
3020:
3018:
3014:
3010:
3005:
3002:
2998:
2993:
2990:
2978:
2974:
2970:
2963:
2960:
2956:
2951:
2948:
2944:
2939:
2936:
2932:
2927:
2924:
2920:
2915:
2912:
2908:
2903:
2900:
2888:
2884:
2880:
2874:
2871:
2867:
2862:
2859:
2855:
2850:
2847:
2843:
2838:
2835:
2831:
2826:
2823:
2819:
2814:
2812:
2808:
2804:
2799:
2796:
2792:
2791:Kottwitz 1988
2787:
2784:
2780:
2775:
2772:
2768:
2763:
2760:
2755:
2751:
2747:
2743:
2739:
2735:
2731:
2727:
2726:
2721:
2714:
2711:
2705:
2702:
2698:
2693:
2690:
2687:, p. 35.
2686:
2681:
2678:
2674:
2669:
2666:
2662:
2657:
2654:
2651:, p. 14.
2650:
2645:
2642:
2639:, p. 42.
2638:
2633:
2630:
2627:, p. 32.
2626:
2621:
2618:
2615:, p. 27.
2614:
2609:
2606:
2602:
2597:
2594:
2590:
2585:
2582:
2578:
2573:
2570:
2564:
2560:
2559:Root of unity
2557:
2555:
2552:
2550:
2547:
2545:
2542:
2540:
2537:
2536:
2532:
2526:
2521:
2516:
2514:
2512:
2508:
2504:
2503:neoplatonists
2500:
2496:
2495:
2490:
2486:
2482:
2477:
2471:
2463:
2461:
2459:
2458:alkali metals
2455:
2454:atomic number
2451:
2448:in the known
2447:
2444:and the most
2443:
2439:
2432:
2430:
2428:
2427:wavefunctions
2424:
2420:
2416:
2412:
2408:
2404:
2400:
2393:
2388:
2386:
2372:
2369:
2366:
2363:
2360:
2340:
2320:
2312:
2308:
2304:
2300:
2296:
2292:
2288:
2284:
2280:
2276:
2272:
2265:In technology
2264:
2262:
2260:
2255:
2251:
2242:
2237:
2232:
2227:
2224:or uppercase
2223:
2219:
2214:
2210:system where
2209:
2197:
2193:
2189:
2184:
2179:
2175:
2171:
2167:
2163:
2159:
2155:
2154:lining figure
2151:
2143:
2141:
2139:
2135:
2131:
2127:
2123:
2119:
2115:
2110:
2094:
2091:
2087:
2082:
2077:
2066:
2062:
2058:
2055:
2049:
2041:
2037:
2033:
2025:
2018:
2014:
2009:
2002:
1997:
1995:
1993:
1988:
1986:
1982:
1978:
1974:
1970:
1966:
1962:
1958:
1954:
1950:
1946:
1942:
1938:
1934:
1930:
1926:
1922:
1918:
1914:
1910:
1906:
1901:
1899:
1895:
1891:
1888:
1884:
1880:
1878:
1874:
1870:
1866:
1862:
1858:
1854:
1850:
1846:
1838:
1836:
1834:
1831:
1827:
1823:
1819:
1815:
1811:
1804:
1801:
1800:One (pronoun)
1793:
1786:
1783:
1780:
1777:
1774:
1771:
1768:
1765:
1762:
1759:
1757:
1754:
1751:
1748:
1745:
1742:
1739:
1736:
1733:
1730:
1728:
1725:
1723:
1722:
1718:
1717:
1714:
1711:
1709:
1706:
1704:
1701:
1699:
1696:
1694:
1691:
1689:
1686:
1684:
1681:
1679:
1676:
1674:
1671:
1669:
1666:
1664:
1662:
1659:
1657:
1654:
1652:
1649:
1647:
1644:
1642:
1639:
1637:
1634:
1632:
1629:
1627:
1624:
1622:
1619:
1617:
1614:
1612:
1609:
1608:
1604:
1601:
1598:
1595:
1592:
1589:
1586:
1583:
1580:
1577:
1575:
1572:
1569:
1566:
1563:
1560:
1557:
1554:
1551:
1548:
1545:
1543:
1540:
1539:
1531:
1528:
1525:
1522:
1519:
1517:
1514:
1511:
1508:
1505:
1502:
1499:
1496:
1493:
1490:
1488:
1485:
1483:
1481:
1477:
1476:
1469:
1463:
1457:
1451:
1445:
1443:
1440:
1434:
1431:
1425:
1419:
1416:
1413:
1407:
1404:
1402:
1399:
1397:
1396:
1391:
1390:
1386:
1383:
1380:
1377:
1374:
1372:
1369:
1366:
1363:
1360:
1357:
1354:
1351:
1348:
1345:
1342:
1340:
1337:
1336:
1329:
1326:
1324:
1321:
1319:
1316:
1314:
1312:
1309:
1307:
1304:
1302:
1299:
1297:
1294:
1292:
1289:
1287:
1285:
1282:
1280:
1277:
1275:
1272:
1270:
1267:
1265:
1262:
1260:
1257:
1255:
1252:
1250:
1247:
1245:
1242:
1240:
1237:
1235:
1233:
1230:
1228:
1225:
1223:
1220:
1218:
1215:
1213:
1210:
1208:
1205:
1203:
1200:
1198:
1195:
1193:
1190:
1188:
1185:
1183:
1182:
1177:
1176:
1172:
1169:
1166:
1164:
1161:
1158:
1155:
1152:
1149:
1147:
1144:
1141:
1138:
1135:
1132:
1129:
1126:
1123:
1120:
1117:
1115:
1112:
1109:
1106:
1103:
1100:
1097:
1094:
1091:
1088:
1085:
1083:
1080:
1079:
1073:
1071:
1069:
1065:
1061:
1057:
1051:
1043:
1041:
1039:
1035:
1030:
1028:
1027:Benford's law
1023:
1021:
1017:
1013:
1009:
1004:
1002:
998:
994:
990:
986:
982:
978:
977:unit interval
974:
969:
967:
963:
960:, as used in
959:
954:
950:
948:
943:
941:
937:
933:
929:
926:of 0. In the
925:
921:
917:
912:
910:
909:empty product
894:
891:
888:
885:
877:
861:
858:
853:
843:
827:
824:
819:
815:
806:
790:
787:
784:
781:
778:
775:
772:
752:
744:
740:
736:
732:
728:
724:
716:
714:
712:
708:
704:
700:
695:
693:
689:
685:
681:
677:
673:
669:
665:
661:
657:
653:
649:
638:
636:
632:
628:
626:
625:Mayan numeral
622:
616:
614:
610:
606:
602:
598:
596:
592:
586:
584:
580:
574:
572:
568:
562:
560:
556:
550:
548:
544:
540:
538:
534:
530:
528:
524:
518:
516:
512:
508:
504:
502:
498:
494:
492:
488:
485:
480:
478:
474:
470:
463:
461:
457:
451:
449:
445:
439:
437:
433:
429:
427:
423:
417:
415:
411:
407:
401:
399:
395:
391:
387:
383:
379:
375:
373:
372:Greek numeral
369:
362:
360:
356:
349:
347:
343:
336:
334:
330:
323:
321:
317:
310:
308:
304:
297:
295:
291:
288:
285:
283:
280:
276:
273:
269:
266:
264:
261:
257:
253:
251:
250:Roman numeral
247:
243:
241:
240:Greek numeral
237:
233:
231:
227:
224:
221:
219:
218:Factorization
215:
212:
209:
207:
203:
197:
195:
191:
187:
185:
181:
177:
174:
171:
168:
165:
162:
159:
156:
153:
150:
147:
144:
136:
133:
131:
128:
127:
123:
120:
117:
114:
111:
108:
105:
102:
99:
96:
93:
90:
85:
78:
75:
72:
70:
67:
66:
62:
52:
48:
44:
42:
32:
28:
24:
16:
10845:
10824:Key concepts
10751:sieve theory
4543:
4463:. Retrieved
4448:
4434:
4393:
4378:. Retrieved
4374:
4334:
4330:Riesel, Hans
4311:
4292:
4275:
4269:
4247:
4241:
4217:
4185:
4162:
4121:
4115:
4080:
4057:
4025:
3998:
3966:
3930:
3906:
3862:
3838:
3806:
3786:
3767:
3719:
3715:Lurie, Jacob
3692:
3672:
3644:
3641:
3621:
3613:
3610:
3578:
3558:
3541:
3535:
3499:
3493:
3479:
3459:
3447:
3435:. Retrieved
3410:
3406:
3396:
3389:Stewart 2024
3369:
3362:McWeeny 1972
3357:
3345:
3334:. Retrieved
3325:
3319:
3315:
3308:
3296:
3289:Godbole 2002
3284:
3272:
3260:
3245:
3231:
3217:
3202:
3190:
3183:Chicago 1993
3178:
3166:
3157:
3148:
3137:. Retrieved
3133:
3124:
3112:
3100:
3081:
3077:
3067:
3055:
3043:
3031:
3009:Crystal 2008
3004:
2999:, p. 4.
2992:
2981:. Retrieved
2972:
2962:
2950:
2938:
2926:
2914:
2907:Hurford 1994
2902:
2891:. Retrieved
2882:
2873:
2861:
2849:
2837:
2825:
2798:
2786:
2774:
2769:, p. 4.
2762:
2729:
2723:
2713:
2704:
2692:
2680:
2668:
2656:
2644:
2632:
2620:
2608:
2603:, p. 1.
2596:
2584:
2572:
2492:
2483:philosopher
2476:monotheistic
2473:
2436:
2418:
2415:Planck units
2411:natural unit
2397:
2268:
2253:
2249:
2225:
2221:
2192:Hoefler Text
2187:
2173:
2169:
2166:text figures
2153:
2147:
2111:
2065:clay tablets
2051:
2040:text figures
2036:Hoefler Text
2016:
1989:
1952:
1948:
1944:
1940:
1936:
1932:
1928:
1924:
1920:
1916:
1912:
1908:
1904:
1902:
1897:
1882:
1881:
1876:
1872:
1868:
1852:
1844:
1842:
1839:Modern usage
1832:
1825:
1817:
1809:
1808:
1726:
1720:
1719:
1712:
1707:
1702:
1697:
1692:
1687:
1682:
1677:
1672:
1667:
1660:
1655:
1650:
1645:
1640:
1635:
1630:
1625:
1620:
1615:
1610:
1486:
1479:
1478:
1400:
1394:
1392:
1186:
1180:
1178:
1056:prime number
1053:
1031:
1024:
1005:
993:unit vectors
972:
970:
955:
944:
916:Peano axioms
913:
739:real numbers
720:
699:prime number
696:
659:
655:
651:
647:
646:
94:
38:
15:
11010:Wikiversity
10932:L-functions
10648:100,000,000
4132:: 629–646.
3374:Emsley 2001
3117:Cullen 2007
3084:: 136–142.
2854:Riesel 1994
2767:Miller 2015
2649:Hodges 2009
2625:Halmos 1974
2577:Colman 1912
2405:, selected
2291:logic gates
2287:transistors
2271:binary code
2218:typewriters
2198:version of
2061:sexagesimal
1951:) leads to
1828:, from the
1814:Old English
981:probability
842:square root
707:binary code
692:measurement
359:Hexadecimal
11031:1 (number)
11025:Categories
10891:Arithmetic
10643:10,000,000
4465:2016-03-24
4425:0832.00001
4380:2024-08-21
4375:Brittanica
4302:1581575874
4284:39.0084.01
4256:21.0051.02
4172:0486143805
4128:& the
4049:1255524478
4008:1420048775
3796:1000822044
3759:1439.14006
3702:0198503415
3662:0614971667
3631:0631226648
3523:1285.11001
3452:Olson 2017
3336:2024-08-20
3139:2023-11-21
2983:2022-02-24
2893:2013-12-30
2613:Peano 1908
2601:Peano 1889
2565:References
2554:One (word)
2470:Numerology
2389:In science
2273:, i.e., a
2196:small caps
2148:In modern
2138:Al-Andalus
2063:system on
2046:See also:
1973:solo dance
1947:(implying
1885:is also a
1863:countable
1859:used with
1857:determiner
1798:See also:
973:normalized
727:succession
635:Morse code
436:Devanāgarī
346:Duodecimal
69:← 0
10638:1,000,000
3990:118490841
3427:145065082
3171:Polt 2015
2746:0002-9890
2661:Hext 1990
2452:, has an
2433:Chemistry
2283:computers
2188:old-style
2150:typefaces
2076:cuneiform
1992:logograms
1927:denoting
1805:Etymology
1794:As a word
1044:Primality
936:Fibonacci
924:successor
876:factorial
711:computing
640:. _ _ _ _
537:Malayalam
77:2 →
11036:Integers
11000:Wikibook
10970:Category
4505:Integers
4446:(2006).
4391:(1994).
4332:(1994).
4266:(1908).
4238:(1889).
4104:29702087
4078:(1994).
3964:(2009).
3872:Springer
3860:(1974).
3836:(1988).
3717:(2019).
3509:: 1–14.
3431:Archived
2977:Archived
2887:Archived
2517:See also
2499:Plotinus
2489:Boethius
2450:universe
2438:Hydrogen
2178:x-height
2158:ascender
2156:with an
2054:Sumerian
2015:, using
1985:monopoly
1981:monogamy
1977:monorail
1965:universe
1961:unicycle
1949:one-like
1929:one time
1919:meaning
1907:include
1867:, as in
1861:singular
1822:Germanic
1339:Division
1036:for all
997:integral
966:counting
962:tallying
947:0.999...
735:integers
688:counting
527:Armenian
460:Georgian
410:Assamese
230:Divisors
184:Cardinal
135:Integers
10831:Numbers
10633:100,000
4417:1311026
4362:1292250
4209:3408774
4154:0942522
4146:2007007
3954:2435558
3898:0453532
3751:3887650
3550:3005523
3515:3005530
3470:Sources
3437:May 16,
2754:2321863
2507:The One
2403:physics
2394:Physics
2353:once (1
2134:Maghreb
2122:Brahmic
2093:Semitic
2086:Eblaite
2057:decimal
2003:History
1969:unicorn
1921:not one
1913:all one
1890:pronoun
1833:*oi-no-
1018:of the
989:vectors
951:exactly
733:of the
668:numeral
662:) is a
501:Kannada
414:Bengali
390:Persian
386:Kurdish
307:Ternary
200:(first)
194:Ordinal
10706:Fields
10620:90,000
10615:80,000
10610:70,000
10605:60,000
10600:50,000
10595:40,000
10590:30,000
10585:20,000
10580:10,000
4602:
4598:
4595:
4591:
4588:
4584:
4581:
4577:
4574:
4570:
4567:
4563:
4560:
4556:
4553:
4549:
4546:
4542:
4539:
4535:
4532:
4528:
4456:
4423:
4415:
4405:
4360:
4350:
4318:
4299:
4282:
4254:
4224:
4207:
4197:
4169:
4152:
4144:
4102:
4092:
4064:
4047:
4037:
4005:
3988:
3978:
3952:
3942:
3913:
3896:
3886:
3846:
3814:
3793:
3774:
3757:
3749:
3739:
3699:
3680:
3659:
3628:
3594:
3565:
3548:
3521:
3513:
3425:
3332:. 2008
3318:(1.6)
2752:
2744:
2126:Ashoka
2013:Venice
1953:lonely
1937:at one
1931:, and
1894:person
1826:*ainaz
1466:714285
1460:076923
1432:0.125
1428:142857
1058:nor a
840:) and
805:square
741:, and
670:, and
664:number
583:Telugu
547:Meitei
477:Hebrew
412:&
394:Sindhi
382:Arabic
320:Senary
294:Binary
282:prefix
272:haplo-
263:prefix
18:Number
10846:Unity
4274:[
4246:[
4142:JSTOR
4120:. 2.
3986:S2CID
3423:S2CID
2750:JSTOR
2301:. In
2259:seven
2236:swash
2186:. In
2118:serif
1943:with
1941:alone
1933:atone
1909:alone
1865:nouns
1847:is a
1824:root
1816:word
1414:0.25
1173:1000
920:Peano
672:glyph
660:unity
571:Tamil
515:Khmer
465:Ⴀ/ⴀ/ა
448:Ge'ez
430:一/弌/壹
333:Octal
279:Latin
268:mono-
260:Greek
211:unary
10567:9000
10562:8000
10557:7000
10552:6000
10547:5000
10542:4000
10537:3000
10532:2000
10527:1000
10516:1000
9918:900s
9321:800s
8724:700s
8127:600s
7530:500s
6933:400s
6336:300s
5739:200s
5142:100s
4454:ISBN
4403:ISBN
4348:ISBN
4316:ISBN
4297:ISBN
4222:ISBN
4195:ISBN
4167:ISBN
4100:OCLC
4090:ISBN
4062:ISBN
4045:OCLC
4035:ISBN
4003:ISBN
3976:ISBN
3940:ISBN
3911:ISBN
3884:ISBN
3844:ISBN
3812:ISBN
3791:ISBN
3772:ISBN
3737:ISBN
3697:ISBN
3678:ISBN
3657:ISBN
3626:ISBN
3592:ISBN
3563:ISBN
3439:2021
2742:ISSN
2305:and
2295:true
2275:base
2136:and
2088:and
1945:only
1925:once
1917:none
1452:0.08
1441:0.1
1417:0.2
1405:0.5
1393:1 ÷
1328:1000
1179:1 ×
1170:100
684:unit
656:unit
559:Thai
398:Urdu
287:uni-
254:I, i
29:and
23:AD 1
10496:999
10491:998
10486:997
10481:996
10476:995
10471:994
10466:993
10461:992
10456:991
10451:990
10438:989
10433:988
10428:987
10423:986
10418:985
10413:984
10408:983
10403:982
10398:981
10393:980
10380:979
10375:978
10370:977
10365:976
10360:975
10355:974
10350:973
10345:972
10340:971
10335:970
10322:969
10317:968
10312:967
10307:966
10302:965
10297:964
10292:963
10287:962
10282:961
10277:960
10264:959
10259:958
10254:957
10249:956
10244:955
10239:954
10234:953
10229:952
10224:951
10219:950
10206:949
10201:948
10196:947
10191:946
10186:945
10181:944
10176:943
10171:942
10166:941
10161:940
10148:939
10143:938
10138:937
10133:936
10128:935
10123:934
10118:933
10113:932
10108:931
10103:930
10090:929
10085:928
10080:927
10075:926
10070:925
10065:924
10060:923
10055:922
10050:921
10045:920
10032:919
10027:918
10022:917
10017:916
10012:915
10007:914
10002:913
9997:912
9992:911
9987:910
9974:909
9969:908
9964:907
9959:906
9954:905
9949:904
9944:903
9939:902
9934:901
9929:900
9899:899
9894:898
9889:897
9884:896
9879:895
9874:894
9869:893
9864:892
9859:891
9854:890
9841:889
9836:888
9831:887
9826:886
9821:885
9816:884
9811:883
9806:882
9801:881
9796:880
9783:879
9778:878
9773:877
9768:876
9763:875
9758:874
9753:873
9748:872
9743:871
9738:870
9725:869
9720:868
9715:867
9710:866
9705:865
9700:864
9695:863
9690:862
9685:861
9680:860
9667:859
9662:858
9657:857
9652:856
9647:855
9642:854
9637:853
9632:852
9627:851
9622:850
9609:849
9604:848
9599:847
9594:846
9589:845
9584:844
9579:843
9574:842
9569:841
9564:840
9551:839
9546:838
9541:837
9536:836
9531:835
9526:834
9521:833
9516:832
9511:831
9506:830
9493:829
9488:828
9483:827
9478:826
9473:825
9468:824
9463:823
9458:822
9453:821
9448:820
9435:819
9430:818
9425:817
9420:816
9415:815
9410:814
9405:813
9400:812
9395:811
9390:810
9377:809
9372:808
9367:807
9362:806
9357:805
9352:804
9347:803
9342:802
9337:801
9332:800
9302:799
9297:798
9292:797
9287:796
9282:795
9277:794
9272:793
9267:792
9262:791
9257:790
9244:789
9239:788
9234:787
9229:786
9224:785
9219:784
9214:783
9209:782
9204:781
9199:780
9186:779
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9176:777
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9146:771
9141:770
9128:769
9123:768
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9113:766
9108:765
9103:764
9098:763
9093:762
9088:761
9083:760
9070:759
9065:758
9060:757
9055:756
9050:755
9045:754
9040:753
9035:752
9030:751
9025:750
9012:749
9007:748
9002:747
8997:746
8992:745
8987:744
8982:743
8977:742
8972:741
8967:740
8954:739
8949:738
8944:737
8939:736
8934:735
8929:734
8924:733
8919:732
8914:731
8909:730
8896:729
8891:728
8886:727
8881:726
8876:725
8871:724
8866:723
8861:722
8856:721
8851:720
8838:719
8833:718
8828:717
8823:716
8818:715
8813:714
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8798:711
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8506:664
8501:663
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8312:630
8299:629
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