1319:
1335:
1836:
1494:
10229:
10189:
1343:
10209:
10199:
10219:
1392:
2508:"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 ..."
1789:
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
2715:
2537:"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"
2687:
939:, a set of postulates to define the natural numbers in a precise and logical way, 1 was treated as the starting point of the sequence of natural numbers. Peano later revised his axioms to begin the sequence with 0. In the
1567:
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
2522:"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"
705:, 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.
693:. 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
818:
889:
3317:
987:. 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
855:
3568:]. An excerpt of the treatise where Peano first presented his axioms, and recursively defined arithmetical operations. Turin: Fratres Bocca. pp. xvi, 1–20.
1694:
974:
922:
1662:
1642:
1077:
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
774:
1101:
published in 1914. However, around this time, by the early 20th century, mathematicians started to agree that 1 should not be classified as a prime number.
1378:
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
1572:
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.
1018:(i.e., vectors of magnitude one), because these often have more desirable properties. Functions, are often normalized by the condition that they have
708:
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
2614:
1358:
2801:
1301:
The various glyphs used to represent the number one, including Arabic numerals (1), Roman numerals (I), and
Chinese numerals (一), are
10212:
2872:
1002:
from 0 to 1, where 1 usually represents the maximum possible value in the range of parameters. For example, by definition, 1 is the
9912:
3011:
3680:
3516:
3386:
3358:
3331:
3236:
3108:
3033:
2974:
2890:
3164:
2171:
1420:) eras. The Babylonian cuneiform script notation for numbers used the same symbol for 1 and 60 as in the Sumerian system.
61:
17:
3718:
3637:
3618:
3160:
3087:
3068:
2922:
2507:
2493:
1085:. Some mathematicians of the Middle Ages and Renaissance considered 1 a prime number. The 18th century mathematician
3543:
3272:
3207:
3180:
3140:
2861:
2021:
2261:
2598:
3632:. Semiotic Perspectives in the Teaching and Learning of Math Series. Vol. 1. Netherlands: Sense Publishers.
2536:
940:
2438:
9943:
3488:
3299:
2993:
2953:
2773:
605:
1048:
1 is the most common leading digit in many sets of data (occurring about 30% of the time), a consequence of
10202:
9989:
3447:
2831:
2789:
1305:. These symbols directly represent the concept of 'one' without breaking it down into phonetic components.
779:
2901:
9984:
9969:
9905:
3586:
3502:
2521:
41:
1824:(20 BC – AD 50) regarded the number one as God's number, and the basis for all numbers.
3508:
3378:
3323:
3228:
3017:
1804:
10164:
10123:
10002:
3264:
1756:
10008:
1709:
1334:
1140:
864:
724:. Philosophically, 1 symbolizes the ultimate reality or source of existence in various traditions.
2826:
1785:
The number 1 is commonly regarded as a symbol of unity, often representing God or the universe in
10228:
9951:
9935:
3666:
1042:
948:
741:
392:
57:
51:
2784:
10192:
10012:
9961:
9898:
3711:
2798:
2763:
1030:
317:
10232:
10169:
10098:
3434:
3372:
3258:
3222:
3098:
2964:
2611:
International vocabulary of metrology — Basic and general concepts and associated terms (VIM)
1559:
of a "lower-case" Roman numeral. It is also possible to find historic examples of the use of
1468:
1431:
at the top and sometimes a short horizontal line at the bottom. It can be traced back to the
1094:
1034:
827:
678:
3670:
1072:
931:
Different mathematical constructions of the natural numbers represent 1 in various ways. In
10159:
9994:
3526:
3471:
3443:
3246:
3190:
3154:
3130:
3043:
2933:
2844:
2809:
1849:
1667:
1617:
1609:
1406:
cuneiform decimal systems. Surviving
Babylonian documents date mostly from Old Babylonian (
980:
953:
221:
37:
10222:
3601:
3573:
3051:
2817:
1423:
The most commonly used glyph in the modern
Western world to represent the number 1 is the
898:
8:
10253:
10128:
10037:
10032:
10026:
10018:
9979:
1167:
1038:
713:
10218:
3558:
10174:
10118:
10022:
9939:
3459:
3313:
3278:
2707:
2046:
1841:
1647:
1627:
1546:
1531:
do not have dedicated key for the numeral 1, requiring the use of the lowercase letter
1171:
1132:
1086:
759:
737:
694:
10258:
10088:
3704:
3676:
3633:
3614:
3539:
3512:
3484:
3421:
3392:
3382:
3354:
3337:
3327:
3309:
3295:
3282:
3268:
3232:
3203:
3176:
3136:
3104:
3083:
3064:
3029:
2989:
2970:
2949:
2918:
2886:
2857:
2769:
2711:
2038:
1835:
1791:
1733:
1717:
1605:
1403:
1400:
1023:
944:
615:
537:
470:
458:
420:
3648:
1808:, affirmed that one is not a number, but the source of number. In the philosophy of
10093:
10078:
3597:
3569:
3498:
3451:
3417:
3368:
3218:
3168:
3047:
3021:
3003:
2941:
2878:
2813:
2699:
2370:
2030:
1440:
1200:
1082:
1060:
1049:
821:
511:
501:
424:
400:
194:
10107:
10083:
9998:
3630:
Semiotics in
Mathematics Education: Epistemology, History, Classroom, and Culture
3522:
3467:
3429:
3242:
3186:
3039:
2840:
2805:
1621:
1613:
1432:
1424:
1159:
1056:
686:
619:
593:
557:
487:
446:
436:
404:
396:
204:
153:
140:
1338:
This
Woodstock typewriter from the 1940s lacks a separate key for the numeral 1.
1162:
used for counting and expressing the number of items in a collection of things.
10144:
10063:
9947:
3581:
3553:
3405:
3126:
2163:
1752:
1518:
1472:
1443:
in c. 250 BCE. This script's numeral shapes were transmitted to Europe via the
1267:
1197:
1090:
1007:
932:
753:
733:
690:
581:
525:
292:
273:
270:
260:
250:
216:
3536:
The
Essentials of Christian Thought: Seeing Reality through the Biblical Story
3341:
3172:
2945:
2703:
282:
10247:
10103:
9955:
9921:
9875:
9789:
9784:
9779:
9774:
9769:
9764:
9759:
9754:
9749:
9738:
3254:
3118:
2882:
2042:
1864:
1764:
1175:
1110:
999:
925:
635:
623:
569:
408:
382:
304:
233:
228:
3396:
2375:
2358:
1740:
requires the integral of a wavefunction's squared modulus to be equal to 1.
1624:
as functions, where the Church numeral for 1 is represented by the function
994:
In many mathematical and engineering problems, numeric values are typically
278:
10149:
10073:
9973:
9718:
9713:
9708:
9703:
9698:
9693:
9688:
9683:
9678:
9673:
9660:
9655:
9650:
9645:
9640:
9635:
9630:
9625:
9620:
9615:
9602:
9597:
9592:
9587:
9582:
9577:
9572:
9567:
9562:
9557:
9544:
9539:
9534:
9529:
9524:
9519:
9514:
9509:
9504:
9499:
9486:
9481:
9476:
9471:
9466:
9461:
9456:
9451:
9446:
9441:
9428:
9423:
9418:
9413:
9408:
9403:
9398:
9393:
9388:
9383:
9370:
9365:
9360:
9355:
9350:
9345:
9340:
9335:
9330:
9325:
9312:
9307:
9302:
9297:
9292:
9287:
9282:
9277:
9272:
9267:
9254:
9249:
9244:
9239:
9234:
9229:
9224:
9219:
9214:
9209:
9196:
9191:
9186:
9181:
9176:
9171:
9166:
9161:
9156:
9151:
9140:
9121:
9116:
9111:
9106:
9101:
9096:
9091:
9086:
9081:
9076:
9063:
9058:
9053:
9048:
9043:
9038:
9033:
9028:
9023:
9018:
9005:
9000:
8995:
8990:
8985:
8980:
8975:
8970:
8965:
8960:
8947:
8942:
8937:
8932:
8927:
8922:
8917:
8912:
8907:
8902:
8889:
8884:
8879:
8874:
8869:
8864:
8859:
8854:
8849:
8844:
8831:
8826:
8821:
8816:
8811:
8806:
8801:
8796:
8791:
8786:
8773:
8768:
8763:
8758:
8753:
8748:
8743:
8738:
8733:
8728:
8715:
8710:
8705:
8700:
8695:
8690:
8685:
8680:
8675:
8670:
8657:
8652:
8647:
8642:
8637:
8632:
8627:
8622:
8617:
8612:
8599:
8594:
8589:
8584:
8579:
8574:
8569:
8564:
8559:
8554:
8543:
8524:
8519:
8514:
8509:
8504:
8499:
8494:
8489:
8484:
8479:
8466:
8461:
8456:
8451:
8446:
8441:
8436:
8431:
8426:
8421:
8408:
8403:
8398:
8393:
8388:
8383:
8378:
8373:
8368:
8363:
8350:
8345:
8340:
8335:
8330:
8325:
8320:
8315:
8310:
8305:
8292:
8287:
8282:
8277:
8272:
8267:
8262:
8257:
8252:
8247:
8234:
8229:
8224:
8219:
8214:
8209:
8204:
8199:
8194:
8189:
8176:
8171:
8166:
8161:
8156:
8151:
8146:
8141:
8136:
8131:
8118:
8113:
8108:
8103:
8098:
8093:
8088:
8083:
8078:
8073:
8060:
8055:
8050:
8045:
8040:
8035:
8030:
8025:
8020:
8015:
8002:
7997:
7992:
7987:
7982:
7977:
7972:
7967:
7962:
7957:
7946:
7927:
7922:
7917:
7912:
7907:
7902:
7897:
7892:
7887:
7882:
7869:
7864:
7859:
7854:
7849:
7844:
7839:
7834:
7829:
7824:
7811:
7806:
7801:
7796:
7791:
7786:
7781:
7776:
7771:
7766:
7753:
7748:
7743:
7738:
7733:
7728:
7723:
7718:
7713:
7708:
7695:
7690:
7685:
7680:
7675:
7670:
7665:
7660:
7655:
7650:
7637:
7632:
7627:
7622:
7617:
7612:
7607:
7602:
7597:
7592:
7579:
7574:
7569:
7564:
7559:
7554:
7549:
7544:
7539:
7534:
7521:
7516:
7511:
7506:
7501:
7496:
7491:
7486:
7481:
7476:
7463:
7458:
7453:
7448:
7443:
7438:
7433:
7428:
7423:
7418:
7405:
7400:
7395:
7390:
7385:
7380:
7375:
7370:
7365:
7360:
7349:
7330:
7325:
7320:
7315:
7310:
7305:
7300:
7295:
7290:
7285:
7272:
7267:
7262:
7257:
7252:
7247:
7242:
7237:
7232:
7227:
7214:
7209:
7204:
7199:
7194:
7189:
7184:
7179:
7174:
7169:
7156:
7151:
7146:
7141:
7136:
7131:
7126:
7121:
7116:
7111:
7098:
7093:
7088:
7083:
7078:
7073:
7068:
7063:
7058:
7053:
7040:
7035:
7030:
7025:
7020:
7015:
7010:
7005:
7000:
6995:
6982:
6977:
6972:
6967:
6962:
6957:
6952:
6947:
6942:
6937:
6924:
6919:
6914:
6909:
6904:
6899:
6894:
6889:
6884:
6879:
6866:
6861:
6856:
6851:
6846:
6841:
6836:
6831:
6826:
6821:
6808:
6803:
6798:
6793:
6788:
6783:
6778:
6773:
6768:
6763:
6752:
6733:
6728:
6723:
6718:
6713:
6708:
6703:
6698:
6693:
6688:
6675:
6670:
6665:
6660:
6655:
6650:
6645:
6640:
6635:
6630:
6617:
6612:
6607:
6602:
6597:
6592:
6587:
6582:
6577:
6572:
6559:
6554:
6549:
6544:
6539:
6534:
6529:
6524:
6519:
6514:
6501:
6496:
6491:
6486:
6481:
6476:
6471:
6466:
6461:
6456:
6443:
6438:
6433:
6428:
6423:
6418:
6413:
6408:
6403:
6398:
6385:
6380:
6375:
6370:
6365:
6360:
6355:
6350:
6345:
6340:
6327:
6322:
6317:
6312:
6307:
6302:
6297:
6292:
6287:
6282:
6269:
6264:
6259:
6254:
6249:
6244:
6239:
6234:
6229:
6224:
6211:
6206:
6201:
6196:
6191:
6186:
6181:
6176:
6171:
6166:
6155:
6136:
6131:
6126:
6121:
6116:
6111:
6106:
6101:
6096:
6091:
6078:
6073:
6068:
6063:
6058:
6053:
6048:
6043:
6038:
6033:
6020:
6015:
6010:
6005:
6000:
5995:
5990:
5985:
5980:
5975:
5962:
5957:
5952:
5947:
5942:
5937:
5932:
5927:
5922:
5917:
5904:
5899:
5894:
5889:
5884:
5879:
5874:
5869:
5864:
5859:
5846:
5841:
5836:
5831:
5826:
5821:
5816:
5811:
5806:
5801:
5788:
5783:
5778:
5773:
5768:
5763:
5758:
5753:
5748:
5743:
5730:
5725:
5720:
5715:
5710:
5705:
5700:
5695:
5690:
5685:
5672:
5667:
5662:
5657:
5652:
5647:
5642:
5637:
5632:
5627:
5614:
5609:
5604:
5599:
5594:
5589:
5584:
5579:
5574:
5569:
5558:
5539:
5534:
5529:
5524:
5519:
5514:
5509:
5504:
5499:
5494:
5481:
5476:
5471:
5466:
5461:
5456:
5451:
5446:
5441:
5436:
5423:
5418:
5413:
5408:
5403:
5398:
5393:
5388:
5383:
5378:
5365:
5360:
5355:
5350:
5345:
5340:
5335:
5330:
5325:
5320:
5307:
5302:
5297:
5292:
5287:
5282:
5277:
5272:
5267:
5262:
5249:
5244:
5239:
5234:
5229:
5224:
5219:
5214:
5209:
5204:
5191:
5186:
5181:
5176:
5171:
5166:
5161:
5156:
5151:
5146:
5133:
5128:
5123:
5118:
5113:
5108:
5103:
5098:
5093:
5088:
5075:
5070:
5065:
5060:
5055:
5050:
5045:
5040:
5035:
5030:
5017:
5012:
5007:
5002:
4997:
4992:
4987:
4982:
4977:
4972:
4961:
4942:
4937:
4932:
4927:
4922:
4917:
4912:
4907:
4902:
4897:
4884:
4879:
4874:
4869:
4864:
4859:
4854:
4849:
4844:
4839:
4826:
4821:
4816:
4811:
4806:
4801:
4796:
4791:
4786:
4781:
4768:
4763:
4758:
4753:
4748:
4743:
4738:
4733:
4728:
4723:
4710:
4705:
4700:
4695:
4690:
4685:
4680:
4675:
4670:
4665:
4652:
4647:
4642:
4637:
4632:
4627:
4622:
4617:
4612:
4607:
4594:
4589:
4584:
4579:
4574:
4569:
4564:
4559:
4554:
4549:
4536:
4531:
4526:
4521:
4516:
4511:
4506:
4501:
4496:
4491:
4478:
4473:
4468:
4463:
4458:
4453:
4448:
4443:
4438:
4433:
4420:
4415:
4410:
4405:
4400:
4395:
4390:
4385:
4380:
3122:
1817:
1813:
1768:
1737:
1725:
1721:
1502:
1476:
1346:
1078:
1011:
936:
740:, that is, by adding 1 to the previous natural number. The number 1 is the
709:
479:
186:
2825:
Caldwell, Chris K.; Reddick, Angela; Xiong, Yeng; Keller, Wilfrid (2012).
2685:
297:
9870:
4345:
4340:
4335:
4330:
4325:
4320:
4315:
4310:
4305:
4300:
4287:
4282:
4277:
4272:
4267:
4262:
4257:
4252:
4247:
4242:
4229:
4224:
4219:
4214:
4209:
4204:
4199:
4194:
4189:
4184:
4171:
4166:
4161:
4156:
4151:
4146:
4141:
4136:
4131:
4126:
4113:
4108:
4103:
4098:
4093:
4088:
4083:
4078:
4073:
4068:
4055:
4050:
4045:
4040:
4035:
4030:
4025:
4020:
4015:
4010:
3997:
3992:
3987:
3982:
3977:
3972:
3967:
3962:
3957:
3952:
3939:
3934:
3929:
3924:
3919:
3914:
3909:
3904:
3899:
3894:
3881:
3876:
3871:
3866:
3861:
3856:
3851:
3846:
3841:
3150:
3007:
2253:
2120:
1604:
where "1" represents the value for "on". As such, the numerical value of
1581:
1375:
1371:
1350:
1124:
1015:
1003:
858:
749:
717:
702:
369:
183:
180:
177:
174:
171:
168:
165:
162:
132:
3483:. Dover Books on Physics (reprint ed.). Courier Corporation, 2012.
3025:
2904:
Nature's
Harmonic Unity: A Treatise on Its Relation to Proportional Form
1491:
and designed to follow the rhythm of the lowercase, as, for example, in
10154:
10113:
9965:
9865:
3463:
2966:
Layout
Workbook: A Real-World Guide to Building Pages in Graphic Design
2221:
2197:
2050:
2016:
2005:
La Vallée Poussin, C. Mém. Couronnés Acad. Roy. Belgique 59, 1–74, 1899
1795:
1786:
1780:
1601:
1597:
1589:
1528:
1506:
1463:, the shape of the character for the digit 1 is typically typeset as a
1448:
1283:
1093:. Many 19th century mathematicians still considered 1 to be prime, and
984:
645:
356:
87:
79:
2988:(illustrated, reprint ed.). Oxford, UK: Oxford University Press.
9860:
2688:"From Abacus to Algorism: Theory and Practice in Medieval Arithmetic"
2383:
1821:
1513:, featuring parallel serifs at the top and bottom, while the capital
1386:
892:
721:
547:
3611:
The Typewriter Revolution: A Typist's Companion for the 21st Century
3455:
2034:
1859:
1809:
1799:
1760:
1748:
1593:
1588:-2 numeral system with numbers represented by a sequence of 1s and
1488:
1460:
1342:
1302:
1295:
1291:
1287:
1275:
1271:
1019:
988:
712:; this was not universally accepted until the mid-20th century. In
698:
1975:
1888:
891:), and one raised to any power is always equal to 1. 1 is its own
9855:
3727:
3596:] (V ed.). Turin: Fratres Bocca. pp. xxxvi, 1–463.
2628:
2069:
1767:
of 1. Group 1 of the periodic table consists of hydrogen and the
1713:
1444:
1396:
1367:
1279:
745:
240:
145:
9890:
10053:
9842:
9837:
9832:
9827:
9822:
9817:
9812:
9807:
9802:
2209:
1854:
1436:
1391:
1323:
1204:
674:
330:
99:
2414:
1493:
3353:. Cambridge, UK ; New York: Cambridge University Press.
2827:"The history of the primality of one: a selection of sources"
2510:
by Jan ten Hoorn. November 23, 1679 – via Google Books.
1596:, as pulses of electricity through switching devices such as
1592:. Digitised data is represented in physical devices, such as
1585:
1428:
1364:
1318:
947:
that contains all numbers before it, 1 is represented as the
682:
517:
492:
343:
289:
3080:
Human Factors Engineering and Ergonomics: A Systems Approach
2543:
2535:
August (Herzog), Braunschweig-Lüneburg (November 23, 1624).
2144:
2110:
2108:
2093:
1876:
1395:. The Sumerian cuneiform system is a direct ancestor to the
1363:
Among the earliest known record of a numeral system, is the
979:
The simplest way to represent the natural numbers is by the
3696:
3016:. Annals of Mathematics Studies. Vol. 199. Princeton:
2686:
British Society for the History of Science (July 1, 1977).
2579:
1389:
symbols, with 1 and 60 both represented by the same symbol
1385:, the older Sumerian curviform numerals were replaced with
33:
3061:
The Foundation of Reality: Fundamentality, Space, and Time
2824:
2338:
2326:
2314:
2304:
2302:
2126:
1353:
and represents the numeral 1 as similar to a small-caps I.
4375:
4364:
2105:
1987:
924:), and 0! is also one 1. These are a special case of the
3538:. Grand Rapids, MI: Zondervan Academic. pp. 1–252.
3308:
2473:
2233:
2227:
2203:
2185:
2132:
1905:
1903:
1471:, such that the digit is the same height and width as a
3836:
3752:
3566:
The principles of arithmetic, presented by a new method
2969:. Gloucester, MA: Rockport Publishers. pp. 1–240.
2539:. Johann & Heinrich Stern – via Google Books.
2299:
2254:"Numerical Adjectives, Greek and Latin Number Prefixes"
732:
The number 1 is the first natural number after 0. Each
159:
3627:
2986:
Nature's Building Blocks: An A-Z Guide to the Elements
2669:
2667:
2524:. Heußler. November 23, 1586 – via Google Books.
2389:
2275:
943:
of natural numbers, where each number is defined as a
10058:
3822:
3815:
3808:
3801:
3794:
3787:
3780:
3773:
3759:
3740:
3628:
Radford, Luis; Schubring, Gert; Seeger, Falk (2008).
3059:
Glick, David; Darby, George; Marmodoro, Anna (2020).
2640:
2567:
2461:
1900:
1820:
is the ultimate reality and source of all existence.
1670:
1650:
1630:
1569:
1551:
1541:
1523:
1517:
retains a full-height form. This is a relic from the
956:
901:
867:
830:
782:
762:
156:
129:
126:
123:
120:
117:
114:
111:
108:
102:
3117:
2555:
2395:
2081:
1981:
1894:
1831:
3349:Huddleston, Rodney D.; Pullum, Geoffrey K. (2002).
3058:
2664:
2634:
2449:
2287:
2057:
1951:
1939:
1712:are also known as quantities of dimension one. In
3585:
3557:
3292:Handwriting Identification: Facts and Fundamentals
2652:
2431:
1927:
1688:
1656:
1636:
968:
916:
883:
849:
812:
768:
2730:
2359:"Evidences of Hierarchy of Brahmi Numeral System"
1915:
10245:
3348:
3224:Lambda-Calculus and Combinators: An Introduction
3013:Weil's Conjecture for Function Fields (Volume I)
2215:
1182:. The determiner has two senses: numerical one (
2534:
1963:
1790:numbers to odd and vice versa by addition. The
32:This article is about the number. For the year
3002:
2900:Colman, Samuel (1912). Coan, C. Arthur (ed.).
2856:(14th ed.). University of Chicago Press.
2692:The British Journal for the History of Science
2075:
1580:In digital technology, data is represented by
1266:, conveying a sense of solitude. Other common
9906:
3712:
3560:Arithmetices principia, nova methodo exposita
3351:The Cambridge grammar of the English language
3289:
3217:
3200:Programming Structures: Machines and programs
2917:(6th ed.). Malden, MA: Wiley-Blackwell.
2782:
2585:
2549:
2150:
2114:
2099:
1774:
1308:
1089:listed 1 as prime in his correspondence with
2802:David R. Cheriton School of Computer Science
963:
957:
3481:Quantum Mechanics: Principles and Formalism
3319:A student's Introduction to English Grammar
3135:(2 ed.). Reading, MA: Addison-Wesley.
2870:
2761:
2698:(2). Cambridge University Press: Abstract.
2344:
2332:
2320:
1993:
1435:script of ancient India, as represented by
10208:
10198:
9913:
9899:
3719:
3705:
3202:. Vol. 1. Prentice Hall. p. 33.
2908:. New York and London: G.P. Putnam's Sons.
2156:
1732:=1) to simplify the form of equations. In
1505:), the typeface for numeral 1 resembles a
1359:History of the Hindu–Arabic numeral system
3077:
2932:Conway, John H.; Guy, Richard K. (1996).
2931:
2915:A Dictionary of Linguistics and Phonetics
2874:Numerical Notation: A Comparative History
2768:. Springer Science & Business Media.
2479:
2374:
2308:
2281:
2239:
2138:
3665:
3428:
2877:. New York: Cambridge University Press.
2783:Caldwell, Chris K.; Xiong, Yeng (2012).
2561:
2087:
1341:
1333:
1317:
3646:
3478:
3403:
3367:
3290:Huber, Roy A.; Headrick, A. M. (1999).
3096:
2912:
2851:
2673:
2646:
2573:
2492:Köhler, Christian (November 23, 1693).
2467:
2363:Journal of the Institute of Engineering
2356:
2293:
2251:
2191:
1909:
1549:variant of a lower-case Roman numeral "
1286:), derived from Latin, or mono- (e.g.,
976:, a set containing only the element 0.
62:question marks, boxes, or other symbols
14:
10246:
3504:Benford's law: theory and applications
3497:
3260:One to Nine: The Inner Life of Numbers
3253:
3149:
2983:
2962:
2899:
2658:
2491:
2401:
2228:Huddleston, Pullum & Reynolds 2022
2204:Huddleston, Pullum & Reynolds 2022
2063:
1957:
1945:
1882:
1063:algebraic groups over a number field.
9894:
9735:
9138:
8541:
7944:
7347:
6750:
6153:
5556:
4959:
4362:
3738:
3700:
3580:
3552:
3533:
2940:. New York: Copernicus Publications.
2736:
2014:
1933:
1921:
1620:, natural numbers are represented by
1556:
1550:
1540:
1522:
1514:
1510:
1270:for the number 1 include uni- (e.g.,
1214:Words that derive their meaning from
813:{\displaystyle 1\times n=n\times 1=n}
3608:
3197:
2455:
2439:"Why Old Typewriters Lack A "1" Key"
2390:Radford, Schubring & Seeger 2008
2017:"On Legendre's Prime Number Formula"
1969:
1798:'s number treatise, as recovered by
1349:, a typeface designed in 1991, uses
1099:list of primes less than ten million
1073:Prime number § Primality of one
2797:(9, Article 12.9.7). Waterloo, CA:
1454:
1097:included counted 1 as prime in his
1026:one, depending on the application.
776:multiplied by 1 remains unchanged (
24:
3161:Undergraduate Texts in Mathematics
2494:"Der allzeitfertige Rechenmeister"
1982:Graham, Knuth & Patashnik 1994
1895:Graham, Knuth & Patashnik 1994
1226:in the sense of being by oneself,
1006:of an event that is absolutely or
991:due to its difficult readability.
25:
10270:
9920:
2718:from the original on May 16, 2021
2635:Glick, Darby & Marmodoro 2020
2022:The American Mathematical Monthly
1439:as a simple vertical line in his
736:, including 1, is constructed by
727:
716:, 1 represents the "on" state in
10227:
10217:
10207:
10197:
10188:
10187:
1834:
1575:
1555:", often employed for the final
1539:as substitutes. The lower case "
1492:
1427:, a vertical line, often with a
1390:
1203:used to refer to an unspecified
3227:(2nd ed.). Cambridge, UK:
2852:Chicago, University of (1993).
2742:
2679:
2591:
2528:
2514:
2500:
2485:
2407:
2350:
2264:from the original on 2022-01-29
2245:
2174:from the original on 2013-12-30
2008:
1999:
1209:one should take care of oneself
1149:
941:Von Neumann cardinal assignment
935:'s original formulation of the
9966:analytic theory of L-functions
9944:non-abelian class field theory
3221:; Seldin, Jonathan P. (2008).
3103:. Tata McGraw-Hill Education.
3078:Guastello, Stephen J. (2023).
1736:, the normalization condition
1207:or to people in general as in
685:. 1 is the first and smallest
13:
1:
3675:. Evans Brothers. p. 9.
2871:Chrisomalis, Stephen (2010).
2785:"What is the smallest prime?"
2748:"De Allegoriis Legum", ii.12
2164:"Online Etymology Dictionary"
1870:
1699:
1475:. However, in typefaces with
1414:
1407:
1379:
884:{\displaystyle {\sqrt {1}}=1}
9990:Transcendental number theory
3726:
3448:Institute for Advanced Study
3432:(1988). "Tamagawa numbers".
3422:10.1016/0315-0860(74)90031-7
2832:Journal of Integer Sequences
2790:Journal of Integer Sequences
2443:Post Haste Telegraph Company
2216:Huddleston & Pullum 2002
1743:
1250:with the someone. Combining
1115:
1104:
1066:
689:of the infinite sequence of
7:
10213:List of recreational topics
9985:Computational number theory
9970:probabilistic number theory
3406:"Peano's concept of number"
3404:Kennedy, Hubert C. (1974).
3322:(2nd ed.). Cambridge:
3097:Godbole, Achyut S. (2002).
3082:(3rd ed.). CRC press.
3063:. Oxford University Press.
2854:The Chicago Manual of Style
2762:Blokhintsev, D. I. (2012).
2357:Acharya, Eka Ratna (2018).
1827:
1751:, the first element of the
1487:), the glyph usually is of
1322:The 24-hour tower clock in
1022:one, maximum value one, or
42:Number One (disambiguation)
10:
10275:
3509:Princeton University Press
3379:Cambridge University Press
3374:Grammar: A Student's Guide
3324:Cambridge University Press
3316:; Reynolds, Brett (2022).
3265:W. W. Norton & Company
3229:Cambridge University Press
3018:Princeton University Press
2754:
2076:Gaitsgory & Lurie 2019
1805:Introduction to Arithmetic
1778:
1775:In philosophy and religion
1704:
1356:
1313:
1309:Symbols and representation
1108:
1070:
1014:are often normalized into
31:
10183:
10165:Diophantine approximation
10137:
10124:Chinese remainder theorem
10046:
9928:
9851:
9798:
9745:
9736:
9731:
9669:
9611:
9553:
9495:
9437:
9379:
9321:
9263:
9205:
9147:
9134:
9072:
9014:
8956:
8898:
8840:
8782:
8724:
8666:
8608:
8550:
8537:
8475:
8417:
8359:
8301:
8243:
8185:
8127:
8069:
8011:
7953:
7940:
7878:
7820:
7762:
7704:
7646:
7588:
7530:
7472:
7414:
7356:
7343:
7281:
7223:
7165:
7107:
7049:
6991:
6933:
6875:
6817:
6759:
6746:
6684:
6626:
6568:
6510:
6452:
6394:
6336:
6278:
6220:
6162:
6149:
6087:
6029:
5971:
5913:
5855:
5797:
5739:
5681:
5623:
5565:
5552:
5490:
5432:
5374:
5316:
5258:
5200:
5142:
5084:
5026:
4968:
4955:
4893:
4835:
4777:
4719:
4661:
4603:
4545:
4487:
4429:
4371:
4358:
4296:
4238:
4180:
4122:
4064:
4006:
3948:
3890:
3832:
3747:
3734:
3173:10.1007/978-1-4757-1645-0
3100:Data Comms & Networks
2946:10.1007/978-1-4612-4072-3
2704:10.1017/S0007087400015375
2605:quantity of dimension one
2586:Hindley & Seldin 2008
2550:Huber & Headrick 1999
2496:– via Google Books.
2415:"Fonts by Hoefler&Co"
2151:Caldwell & Xiong 2012
2115:Caldwell & Xiong 2012
2100:Caldwell & Xiong 2012
1885:, pp. 9–10, chapt.2.
1802:in the Latin translation
1527:represents 1. Many older
1146:(meaning "one, unique").
644:
634:
614:
604:
592:
580:
568:
556:
546:
536:
524:
510:
500:
486:
469:
457:
445:
435:
419:
391:
381:
368:
355:
342:
329:
316:
303:
288:
269:
259:
249:
239:
227:
215:
203:
193:
97:
74:
10009:Arithmetic combinatorics
9139:
8542:
7945:
7348:
6751:
6154:
5557:
4960:
4363:
3613:. The Countryman Press.
3511:. pp. xxvi, 1–438.
3020:. pp. viii, 1–311.
2963:Cullen, Kristin (2007).
2883:10.1017/CBO9780511676062
1724:systems (for example in
1710:Dimensionless quantities
1451:during the Middle Ages
1141:Proto-Indo-European root
1033:, introduced in 1808 by
9980:Geometric number theory
9936:Algebraic number theory
3167:. pp. vii, 1–104.
2607:dimensionless quantity"
2376:10.3126/jie.v14i1.20077
1644:applied to an argument
1186:) and singulative one (
1043:prime-counting function
850:{\displaystyle 1^{2}=1}
742:multiplicative identity
10099:Transcendental numbers
10013:additive number theory
9962:Analytic number theory
3739:
3609:Polt, Richard (2015).
3594:Mathematical Formulary
3588:Formulario Mathematico
3231:. pp. xi, 1–358.
2799:University of Waterloo
2252:Chrisomalis, Stephen.
1690:
1658:
1638:
1608:is equal to 1 in many
1545:" can be considered a
1354:
1339:
1331:
1298:) derived from Greek.
970:
918:
885:
851:
820:). As a result, 1 own
814:
770:
756:, that is, any number
50:This article contains
36:, and other uses, see
10170:Irrationality measure
10160:Diophantine equations
10003:Hodge–Arakelov theory
3647:Stewart, Ian (2024).
3534:Olson, Roger (2017).
3479:McWeeny, Roy (1972).
3435:Annals of Mathematics
3310:Huddleston, Rodney D.
2984:Emsley, John (2001).
2839:(9): Article 12.9.8.
2309:Conway & Guy 1996
2282:Conway & Guy 1996
2240:Conway & Guy 1996
2139:Conway & Guy 1996
2015:Pintz, Janos (1980).
1691:
1689:{\displaystyle fx=fx}
1659:
1639:
1610:programming languages
1345:
1337:
1321:
1095:Derrick Norman Lehmer
1035:Adrien-Marie Legendre
971:
969:{\displaystyle \{0\}}
919:
886:
852:
815:
771:
10129:Arithmetic functions
9995:Diophantine geometry
3444:Princeton University
3442:(3). Princeton, NJ:
3410:Historia Mathematica
3132:Concrete Mathematics
2913:Crystal, D. (2008).
2127:Caldwell et al. 2012
1796:Nicomachus of Gerasa
1668:
1648:
1628:
1618:computability theory
1413:) and the Seleucid (
1123:originates from the
1055:1 is the only known
1010:to occur. Likewise,
981:unary numeral system
954:
917:{\displaystyle 1!=1}
899:
865:
828:
780:
760:
720:, the foundation of
624:Chinese counting rod
38:One (disambiguation)
10175:Continued fractions
10038:Arithmetic dynamics
10033:Arithmetic topology
10027:P-adic Hodge theory
10019:Arithmetic geometry
9952:Iwasawa–Tate theory
3430:Kottwitz, Robert E.
3314:Pullum, Geoffrey K.
3026:10.2307/j.ctv4v32qc
2936:The Book of Numbers
2078:, pp. 204–307.
1850:+1 (disambiguation)
1822:Philo of Alexandria
1812:(and that of other
1728:the speed of light
1166:is most commonly a
1131:, derived from the
1039:asymptotic behavior
1031:Legendre's constant
998:to fall within the
616:Egyptian hieroglyph
18:Unity (mathematics)
10119:Modular arithmetic
10089:Irrational numbers
10023:anabelian geometry
9940:class field theory
3672:Digital Technology
3649:"Number Symbolism"
3381:. pp. 1–288.
3326:. pp. 1–418.
3267:. pp. 1–330.
3198:Hext, Jan (1990).
2419:www.typography.com
2170:. Douglas Harper.
1842:Mathematics portal
1718:physical constants
1686:
1654:
1634:
1485:non-lining figures
1481:Old style numerals
1355:
1340:
1332:
1246:meaning to become
1222:, which signifies
1188:one day I'll do it
1087:Christian Goldbach
1029:1 is the value of
966:
914:
881:
847:
810:
766:
714:digital technology
606:Babylonian numeral
52:special characters
10241:
10240:
10138:Advanced concepts
10094:Algebraic numbers
10079:Composite numbers
9888:
9887:
9884:
9883:
9727:
9726:
9130:
9129:
8533:
8532:
7936:
7935:
7339:
7338:
6742:
6741:
6145:
6144:
5548:
5547:
4951:
4950:
4354:
4353:
3682:978-0-237-52725-9
3518:978-0-691-14761-1
3507:. Princeton, NJ:
3499:Miller, Steven J.
3388:978-0-521-45627-2
3377:. Cambridge, UK:
3369:Hurford, James R.
3360:978-0-521-43146-0
3333:978-1-316-51464-1
3238:978-1-139-473-248
3219:Hindley, J. Roger
3119:Graham, Ronald L.
3110:978-1-259-08223-8
3035:978-0-691-18213-1
3004:Gaitsgory, Dennis
2976:978-1-592-533-527
2892:978-0-521-87818-0
2765:Quantum Mechanics
2194:, pp. 23–24.
1734:quantum mechanics
1657:{\displaystyle x}
1637:{\displaystyle f}
1501:typefaces (e.g.,
1401:Assyro-Babylonian
1330:as a symbol for 1
1180:one day at a time
873:
769:{\displaystyle n}
656:
655:
93:
92:
58:rendering support
16:(Redirected from
10266:
10231:
10221:
10211:
10210:
10201:
10200:
10191:
10190:
10084:Rational numbers
9915:
9908:
9901:
9892:
9891:
9733:
9732:
9136:
9135:
8539:
8538:
7942:
7941:
7345:
7344:
6748:
6747:
6151:
6150:
5554:
5553:
4957:
4956:
4360:
4359:
3736:
3735:
3721:
3714:
3707:
3698:
3697:
3692:
3690:
3689:
3662:
3660:
3659:
3643:
3624:
3605:
3591:
3577:
3563:
3549:
3530:
3494:
3475:
3425:
3400:
3364:
3345:
3305:
3286:
3263:. New York, NY:
3250:
3213:
3194:
3156:Naive Set Theory
3146:
3123:Knuth, Donald E.
3114:
3093:
3074:
3055:
2999:
2980:
2959:
2928:
2909:
2896:
2867:
2848:
2821:
2779:
2749:
2746:
2740:
2734:
2728:
2727:
2725:
2723:
2683:
2677:
2671:
2662:
2656:
2650:
2644:
2638:
2632:
2626:
2625:
2623:
2622:
2595:
2589:
2583:
2577:
2571:
2565:
2559:
2553:
2547:
2541:
2540:
2532:
2526:
2525:
2518:
2512:
2511:
2504:
2498:
2497:
2489:
2483:
2477:
2471:
2465:
2459:
2453:
2447:
2446:
2445:. April 2, 2017.
2435:
2429:
2428:
2426:
2425:
2411:
2405:
2399:
2393:
2387:
2381:
2380:
2378:
2354:
2348:
2345:Chrisomalis 2010
2342:
2336:
2333:Chrisomalis 2010
2330:
2324:
2321:Chrisomalis 2010
2318:
2312:
2306:
2297:
2291:
2285:
2279:
2273:
2272:
2270:
2269:
2258:The Phrontistery
2249:
2243:
2237:
2231:
2225:
2219:
2213:
2207:
2201:
2195:
2189:
2183:
2182:
2180:
2179:
2160:
2154:
2148:
2142:
2136:
2130:
2124:
2118:
2112:
2103:
2097:
2091:
2085:
2079:
2073:
2067:
2061:
2055:
2054:
2012:
2006:
2003:
1997:
1994:Blokhintsev 2012
1991:
1985:
1979:
1973:
1967:
1961:
1955:
1949:
1943:
1937:
1931:
1925:
1919:
1913:
1907:
1898:
1892:
1886:
1880:
1844:
1839:
1838:
1757:abundant element
1720:are set to 1 in
1695:
1693:
1692:
1687:
1663:
1661:
1660:
1655:
1643:
1641:
1640:
1635:
1558:
1554:
1544:
1526:
1516:
1512:
1496:
1455:Modern typefaces
1441:Edicts of Ashoka
1419:
1416:
1412:
1409:
1394:
1384:
1381:
1268:numeral prefixes
1184:I have one apple
1154:Linguistically,
1083:composite number
1061:simply connected
975:
973:
972:
967:
923:
921:
920:
915:
890:
888:
887:
882:
874:
869:
856:
854:
853:
848:
840:
839:
819:
817:
816:
811:
775:
773:
772:
767:
687:positive integer
652:
630:
600:
588:
576:
564:
532:
520:
502:Japanese numeral
495:
477:
465:
453:
431:
415:
76:
75:
72:
71:
21:
10274:
10273:
10269:
10268:
10267:
10265:
10264:
10263:
10244:
10243:
10242:
10237:
10179:
10145:Quadratic forms
10133:
10108:P-adic analysis
10064:Natural numbers
10042:
9999:Arakelov theory
9924:
9919:
9889:
9880:
9847:
9794:
9741:
9723:
9665:
9607:
9549:
9491:
9433:
9375:
9317:
9259:
9201:
9143:
9126:
9068:
9010:
8952:
8894:
8836:
8778:
8720:
8662:
8604:
8546:
8529:
8471:
8413:
8355:
8297:
8239:
8181:
8123:
8065:
8007:
7949:
7932:
7874:
7816:
7758:
7700:
7642:
7584:
7526:
7468:
7410:
7352:
7335:
7277:
7219:
7161:
7103:
7045:
6987:
6929:
6871:
6813:
6755:
6738:
6680:
6622:
6564:
6506:
6448:
6390:
6332:
6274:
6216:
6158:
6141:
6083:
6025:
5967:
5909:
5851:
5793:
5735:
5677:
5619:
5561:
5544:
5486:
5428:
5370:
5312:
5254:
5196:
5138:
5080:
5022:
4964:
4947:
4889:
4831:
4773:
4715:
4657:
4599:
4541:
4483:
4425:
4367:
4350:
4292:
4234:
4176:
4118:
4060:
4002:
3944:
3886:
3828:
3743:
3730:
3725:
3695:
3687:
3685:
3683:
3667:Woodford, Chris
3657:
3655:
3640:
3621:
3582:Peano, Giuseppe
3554:Peano, Giuseppe
3546:
3519:
3491:
3456:10.2307/2007007
3389:
3361:
3334:
3302:
3275:
3239:
3210:
3183:
3151:Halmos, Paul R.
3143:
3127:Patashnik, Oren
3111:
3090:
3071:
3036:
2996:
2977:
2956:
2925:
2893:
2864:
2776:
2757:
2752:
2747:
2743:
2735:
2731:
2721:
2719:
2684:
2680:
2672:
2665:
2657:
2653:
2645:
2641:
2633:
2629:
2620:
2618:
2597:
2596:
2592:
2584:
2580:
2572:
2568:
2560:
2556:
2552:, pp. 181.
2548:
2544:
2533:
2529:
2520:
2519:
2515:
2506:
2505:
2501:
2490:
2486:
2482:, pp. 453.
2478:
2474:
2466:
2462:
2458:, pp. 203.
2454:
2450:
2437:
2436:
2432:
2423:
2421:
2413:
2412:
2408:
2400:
2396:
2392:, pp. 147.
2388:
2384:
2355:
2351:
2343:
2339:
2331:
2327:
2319:
2315:
2307:
2300:
2292:
2288:
2280:
2276:
2267:
2265:
2250:
2246:
2242:, pp. 3–4.
2238:
2234:
2226:
2222:
2218:, pp. 386.
2214:
2210:
2202:
2198:
2190:
2186:
2177:
2175:
2162:
2161:
2157:
2153:, pp. 6–8.
2149:
2145:
2141:, pp. 130.
2137:
2133:
2129:, pp. 6–7.
2125:
2121:
2113:
2106:
2102:, pp. 8–9.
2098:
2094:
2086:
2082:
2074:
2070:
2062:
2058:
2035:10.2307/2321863
2013:
2009:
2004:
2000:
1992:
1988:
1980:
1976:
1968:
1964:
1956:
1952:
1944:
1940:
1932:
1928:
1920:
1916:
1912:, pp. 389.
1908:
1901:
1893:
1889:
1881:
1877:
1873:
1840:
1833:
1830:
1783:
1777:
1746:
1707:
1702:
1669:
1666:
1665:
1649:
1646:
1645:
1629:
1626:
1625:
1622:Church encoding
1614:lambda calculus
1578:
1479:(also known as
1457:
1417:
1411: 1500 BCE
1410:
1383: 2350 BCE
1382:
1361:
1316:
1311:
1282:), sol- (e.g.,
1160:cardinal number
1152:
1118:
1113:
1107:
1075:
1069:
1057:Tamagawa number
1037:to express the
1024:square integral
955:
952:
951:
900:
897:
896:
868:
866:
863:
862:
835:
831:
829:
826:
825:
781:
778:
777:
761:
758:
757:
754:complex numbers
730:
691:natural numbers
650:
628:
598:
586:
574:
562:
530:
516:
493:
475:
463:
451:
437:Chinese numeral
429:
413:
377:
364:
351:
338:
325:
312:
210:
189:
151:
150:
141:List of numbers
135:
70:
67:
66:
65:
56:Without proper
45:
30:
23:
22:
15:
12:
11:
5:
10272:
10262:
10261:
10256:
10239:
10238:
10236:
10235:
10225:
10215:
10205:
10203:List of topics
10195:
10184:
10181:
10180:
10178:
10177:
10172:
10167:
10162:
10157:
10152:
10147:
10141:
10139:
10135:
10134:
10132:
10131:
10126:
10121:
10116:
10111:
10104:P-adic numbers
10101:
10096:
10091:
10086:
10081:
10076:
10071:
10066:
10061:
10056:
10050:
10048:
10044:
10043:
10041:
10040:
10035:
10030:
10016:
10006:
9992:
9987:
9982:
9977:
9959:
9948:Iwasawa theory
9932:
9930:
9926:
9925:
9918:
9917:
9910:
9903:
9895:
9886:
9885:
9882:
9881:
9879:
9878:
9873:
9868:
9863:
9858:
9852:
9849:
9848:
9846:
9845:
9840:
9835:
9830:
9825:
9820:
9815:
9810:
9805:
9799:
9796:
9795:
9793:
9792:
9787:
9782:
9777:
9772:
9767:
9762:
9757:
9752:
9746:
9743:
9742:
9729:
9728:
9725:
9724:
9722:
9721:
9716:
9711:
9706:
9701:
9696:
9691:
9686:
9681:
9676:
9670:
9667:
9666:
9664:
9663:
9658:
9653:
9648:
9643:
9638:
9633:
9628:
9623:
9618:
9612:
9609:
9608:
9606:
9605:
9600:
9595:
9590:
9585:
9580:
9575:
9570:
9565:
9560:
9554:
9551:
9550:
9548:
9547:
9542:
9537:
9532:
9527:
9522:
9517:
9512:
9507:
9502:
9496:
9493:
9492:
9490:
9489:
9484:
9479:
9474:
9469:
9464:
9459:
9454:
9449:
9444:
9438:
9435:
9434:
9432:
9431:
9426:
9421:
9416:
9411:
9406:
9401:
9396:
9391:
9386:
9380:
9377:
9376:
9374:
9373:
9368:
9363:
9358:
9353:
9348:
9343:
9338:
9333:
9328:
9322:
9319:
9318:
9316:
9315:
9310:
9305:
9300:
9295:
9290:
9285:
9280:
9275:
9270:
9264:
9261:
9260:
9258:
9257:
9252:
9247:
9242:
9237:
9232:
9227:
9222:
9217:
9212:
9206:
9203:
9202:
9200:
9199:
9194:
9189:
9184:
9179:
9174:
9169:
9164:
9159:
9154:
9148:
9145:
9144:
9132:
9131:
9128:
9127:
9125:
9124:
9119:
9114:
9109:
9104:
9099:
9094:
9089:
9084:
9079:
9073:
9070:
9069:
9067:
9066:
9061:
9056:
9051:
9046:
9041:
9036:
9031:
9026:
9021:
9015:
9012:
9011:
9009:
9008:
9003:
8998:
8993:
8988:
8983:
8978:
8973:
8968:
8963:
8957:
8954:
8953:
8951:
8950:
8945:
8940:
8935:
8930:
8925:
8920:
8915:
8910:
8905:
8899:
8896:
8895:
8893:
8892:
8887:
8882:
8877:
8872:
8867:
8862:
8857:
8852:
8847:
8841:
8838:
8837:
8835:
8834:
8829:
8824:
8819:
8814:
8809:
8804:
8799:
8794:
8789:
8783:
8780:
8779:
8777:
8776:
8771:
8766:
8761:
8756:
8751:
8746:
8741:
8736:
8731:
8725:
8722:
8721:
8719:
8718:
8713:
8708:
8703:
8698:
8693:
8688:
8683:
8678:
8673:
8667:
8664:
8663:
8661:
8660:
8655:
8650:
8645:
8640:
8635:
8630:
8625:
8620:
8615:
8609:
8606:
8605:
8603:
8602:
8597:
8592:
8587:
8582:
8577:
8572:
8567:
8562:
8557:
8551:
8548:
8547:
8535:
8534:
8531:
8530:
8528:
8527:
8522:
8517:
8512:
8507:
8502:
8497:
8492:
8487:
8482:
8476:
8473:
8472:
8470:
8469:
8464:
8459:
8454:
8449:
8444:
8439:
8434:
8429:
8424:
8418:
8415:
8414:
8412:
8411:
8406:
8401:
8396:
8391:
8386:
8381:
8376:
8371:
8366:
8360:
8357:
8356:
8354:
8353:
8348:
8343:
8338:
8333:
8328:
8323:
8318:
8313:
8308:
8302:
8299:
8298:
8296:
8295:
8290:
8285:
8280:
8275:
8270:
8265:
8260:
8255:
8250:
8244:
8241:
8240:
8238:
8237:
8232:
8227:
8222:
8217:
8212:
8207:
8202:
8197:
8192:
8186:
8183:
8182:
8180:
8179:
8174:
8169:
8164:
8159:
8154:
8149:
8144:
8139:
8134:
8128:
8125:
8124:
8122:
8121:
8116:
8111:
8106:
8101:
8096:
8091:
8086:
8081:
8076:
8070:
8067:
8066:
8064:
8063:
8058:
8053:
8048:
8043:
8038:
8033:
8028:
8023:
8018:
8012:
8009:
8008:
8006:
8005:
8000:
7995:
7990:
7985:
7980:
7975:
7970:
7965:
7960:
7954:
7951:
7950:
7938:
7937:
7934:
7933:
7931:
7930:
7925:
7920:
7915:
7910:
7905:
7900:
7895:
7890:
7885:
7879:
7876:
7875:
7873:
7872:
7867:
7862:
7857:
7852:
7847:
7842:
7837:
7832:
7827:
7821:
7818:
7817:
7815:
7814:
7809:
7804:
7799:
7794:
7789:
7784:
7779:
7774:
7769:
7763:
7760:
7759:
7757:
7756:
7751:
7746:
7741:
7736:
7731:
7726:
7721:
7716:
7711:
7705:
7702:
7701:
7699:
7698:
7693:
7688:
7683:
7678:
7673:
7668:
7663:
7658:
7653:
7647:
7644:
7643:
7641:
7640:
7635:
7630:
7625:
7620:
7615:
7610:
7605:
7600:
7595:
7589:
7586:
7585:
7583:
7582:
7577:
7572:
7567:
7562:
7557:
7552:
7547:
7542:
7537:
7531:
7528:
7527:
7525:
7524:
7519:
7514:
7509:
7504:
7499:
7494:
7489:
7484:
7479:
7473:
7470:
7469:
7467:
7466:
7461:
7456:
7451:
7446:
7441:
7436:
7431:
7426:
7421:
7415:
7412:
7411:
7409:
7408:
7403:
7398:
7393:
7388:
7383:
7378:
7373:
7368:
7363:
7357:
7354:
7353:
7341:
7340:
7337:
7336:
7334:
7333:
7328:
7323:
7318:
7313:
7308:
7303:
7298:
7293:
7288:
7282:
7279:
7278:
7276:
7275:
7270:
7265:
7260:
7255:
7250:
7245:
7240:
7235:
7230:
7224:
7221:
7220:
7218:
7217:
7212:
7207:
7202:
7197:
7192:
7187:
7182:
7177:
7172:
7166:
7163:
7162:
7160:
7159:
7154:
7149:
7144:
7139:
7134:
7129:
7124:
7119:
7114:
7108:
7105:
7104:
7102:
7101:
7096:
7091:
7086:
7081:
7076:
7071:
7066:
7061:
7056:
7050:
7047:
7046:
7044:
7043:
7038:
7033:
7028:
7023:
7018:
7013:
7008:
7003:
6998:
6992:
6989:
6988:
6986:
6985:
6980:
6975:
6970:
6965:
6960:
6955:
6950:
6945:
6940:
6934:
6931:
6930:
6928:
6927:
6922:
6917:
6912:
6907:
6902:
6897:
6892:
6887:
6882:
6876:
6873:
6872:
6870:
6869:
6864:
6859:
6854:
6849:
6844:
6839:
6834:
6829:
6824:
6818:
6815:
6814:
6812:
6811:
6806:
6801:
6796:
6791:
6786:
6781:
6776:
6771:
6766:
6760:
6757:
6756:
6744:
6743:
6740:
6739:
6737:
6736:
6731:
6726:
6721:
6716:
6711:
6706:
6701:
6696:
6691:
6685:
6682:
6681:
6679:
6678:
6673:
6668:
6663:
6658:
6653:
6648:
6643:
6638:
6633:
6627:
6624:
6623:
6621:
6620:
6615:
6610:
6605:
6600:
6595:
6590:
6585:
6580:
6575:
6569:
6566:
6565:
6563:
6562:
6557:
6552:
6547:
6542:
6537:
6532:
6527:
6522:
6517:
6511:
6508:
6507:
6505:
6504:
6499:
6494:
6489:
6484:
6479:
6474:
6469:
6464:
6459:
6453:
6450:
6449:
6447:
6446:
6441:
6436:
6431:
6426:
6421:
6416:
6411:
6406:
6401:
6395:
6392:
6391:
6389:
6388:
6383:
6378:
6373:
6368:
6363:
6358:
6353:
6348:
6343:
6337:
6334:
6333:
6331:
6330:
6325:
6320:
6315:
6310:
6305:
6300:
6295:
6290:
6285:
6279:
6276:
6275:
6273:
6272:
6267:
6262:
6257:
6252:
6247:
6242:
6237:
6232:
6227:
6221:
6218:
6217:
6215:
6214:
6209:
6204:
6199:
6194:
6189:
6184:
6179:
6174:
6169:
6163:
6160:
6159:
6147:
6146:
6143:
6142:
6140:
6139:
6134:
6129:
6124:
6119:
6114:
6109:
6104:
6099:
6094:
6088:
6085:
6084:
6082:
6081:
6076:
6071:
6066:
6061:
6056:
6051:
6046:
6041:
6036:
6030:
6027:
6026:
6024:
6023:
6018:
6013:
6008:
6003:
5998:
5993:
5988:
5983:
5978:
5972:
5969:
5968:
5966:
5965:
5960:
5955:
5950:
5945:
5940:
5935:
5930:
5925:
5920:
5914:
5911:
5910:
5908:
5907:
5902:
5897:
5892:
5887:
5882:
5877:
5872:
5867:
5862:
5856:
5853:
5852:
5850:
5849:
5844:
5839:
5834:
5829:
5824:
5819:
5814:
5809:
5804:
5798:
5795:
5794:
5792:
5791:
5786:
5781:
5776:
5771:
5766:
5761:
5756:
5751:
5746:
5740:
5737:
5736:
5734:
5733:
5728:
5723:
5718:
5713:
5708:
5703:
5698:
5693:
5688:
5682:
5679:
5678:
5676:
5675:
5670:
5665:
5660:
5655:
5650:
5645:
5640:
5635:
5630:
5624:
5621:
5620:
5618:
5617:
5612:
5607:
5602:
5597:
5592:
5587:
5582:
5577:
5572:
5566:
5563:
5562:
5550:
5549:
5546:
5545:
5543:
5542:
5537:
5532:
5527:
5522:
5517:
5512:
5507:
5502:
5497:
5491:
5488:
5487:
5485:
5484:
5479:
5474:
5469:
5464:
5459:
5454:
5449:
5444:
5439:
5433:
5430:
5429:
5427:
5426:
5421:
5416:
5411:
5406:
5401:
5396:
5391:
5386:
5381:
5375:
5372:
5371:
5369:
5368:
5363:
5358:
5353:
5348:
5343:
5338:
5333:
5328:
5323:
5317:
5314:
5313:
5311:
5310:
5305:
5300:
5295:
5290:
5285:
5280:
5275:
5270:
5265:
5259:
5256:
5255:
5253:
5252:
5247:
5242:
5237:
5232:
5227:
5222:
5217:
5212:
5207:
5201:
5198:
5197:
5195:
5194:
5189:
5184:
5179:
5174:
5169:
5164:
5159:
5154:
5149:
5143:
5140:
5139:
5137:
5136:
5131:
5126:
5121:
5116:
5111:
5106:
5101:
5096:
5091:
5085:
5082:
5081:
5079:
5078:
5073:
5068:
5063:
5058:
5053:
5048:
5043:
5038:
5033:
5027:
5024:
5023:
5021:
5020:
5015:
5010:
5005:
5000:
4995:
4990:
4985:
4980:
4975:
4969:
4966:
4965:
4953:
4952:
4949:
4948:
4946:
4945:
4940:
4935:
4930:
4925:
4920:
4915:
4910:
4905:
4900:
4894:
4891:
4890:
4888:
4887:
4882:
4877:
4872:
4867:
4862:
4857:
4852:
4847:
4842:
4836:
4833:
4832:
4830:
4829:
4824:
4819:
4814:
4809:
4804:
4799:
4794:
4789:
4784:
4778:
4775:
4774:
4772:
4771:
4766:
4761:
4756:
4751:
4746:
4741:
4736:
4731:
4726:
4720:
4717:
4716:
4714:
4713:
4708:
4703:
4698:
4693:
4688:
4683:
4678:
4673:
4668:
4662:
4659:
4658:
4656:
4655:
4650:
4645:
4640:
4635:
4630:
4625:
4620:
4615:
4610:
4604:
4601:
4600:
4598:
4597:
4592:
4587:
4582:
4577:
4572:
4567:
4562:
4557:
4552:
4546:
4543:
4542:
4540:
4539:
4534:
4529:
4524:
4519:
4514:
4509:
4504:
4499:
4494:
4488:
4485:
4484:
4482:
4481:
4476:
4471:
4466:
4461:
4456:
4451:
4446:
4441:
4436:
4430:
4427:
4426:
4424:
4423:
4418:
4413:
4408:
4403:
4398:
4393:
4388:
4383:
4378:
4372:
4369:
4368:
4356:
4355:
4352:
4351:
4349:
4348:
4343:
4338:
4333:
4328:
4323:
4318:
4313:
4308:
4303:
4297:
4294:
4293:
4291:
4290:
4285:
4280:
4275:
4270:
4265:
4260:
4255:
4250:
4245:
4239:
4236:
4235:
4233:
4232:
4227:
4222:
4217:
4212:
4207:
4202:
4197:
4192:
4187:
4181:
4178:
4177:
4175:
4174:
4169:
4164:
4159:
4154:
4149:
4144:
4139:
4134:
4129:
4123:
4120:
4119:
4117:
4116:
4111:
4106:
4101:
4096:
4091:
4086:
4081:
4076:
4071:
4065:
4062:
4061:
4059:
4058:
4053:
4048:
4043:
4038:
4033:
4028:
4023:
4018:
4013:
4007:
4004:
4003:
4001:
4000:
3995:
3990:
3985:
3980:
3975:
3970:
3965:
3960:
3955:
3949:
3946:
3945:
3943:
3942:
3937:
3932:
3927:
3922:
3917:
3912:
3907:
3902:
3897:
3891:
3888:
3887:
3885:
3884:
3879:
3874:
3869:
3864:
3859:
3854:
3849:
3844:
3839:
3833:
3830:
3829:
3827:
3826:
3819:
3812:
3805:
3798:
3791:
3784:
3777:
3770:
3763:
3756:
3748:
3745:
3744:
3732:
3731:
3724:
3723:
3716:
3709:
3701:
3694:
3693:
3681:
3663:
3644:
3639:978-9087905972
3638:
3625:
3620:978-1581575873
3619:
3606:
3578:
3550:
3544:
3531:
3517:
3501:, ed. (2015).
3495:
3489:
3476:
3426:
3416:(4): 387–408.
3401:
3387:
3365:
3359:
3346:
3332:
3306:
3300:
3287:
3273:
3255:Hodges, Andrew
3251:
3237:
3215:
3208:
3195:
3181:
3147:
3141:
3115:
3109:
3094:
3089:978-1000822045
3088:
3075:
3070:978-0198831501
3069:
3056:
3034:
3000:
2994:
2981:
2975:
2960:
2954:
2929:
2924:978-0631226642
2923:
2910:
2897:
2891:
2868:
2862:
2849:
2822:
2780:
2774:
2758:
2756:
2753:
2751:
2750:
2741:
2729:
2678:
2663:
2651:
2649:, pp. 14.
2639:
2637:, pp. 99.
2627:
2590:
2578:
2566:
2554:
2542:
2527:
2513:
2499:
2484:
2480:Guastello 2023
2472:
2470:, pp. 52.
2460:
2448:
2430:
2406:
2394:
2382:
2349:
2347:, p. 249.
2337:
2335:, p. 244.
2325:
2323:, p. 241.
2313:
2298:
2286:
2274:
2244:
2232:
2230:, p. 140.
2220:
2208:
2206:, p. 117.
2196:
2184:
2168:etymonline.com
2155:
2143:
2131:
2119:
2104:
2092:
2080:
2068:
2056:
2029:(9): 733–735.
2007:
1998:
1986:
1984:, p. 381.
1974:
1962:
1950:
1938:
1926:
1914:
1899:
1897:, p. 111.
1887:
1874:
1872:
1869:
1868:
1867:
1862:
1857:
1852:
1846:
1845:
1829:
1826:
1792:Neopythagorean
1779:Main article:
1776:
1773:
1753:periodic table
1745:
1742:
1706:
1703:
1701:
1698:
1685:
1682:
1679:
1676:
1673:
1653:
1633:
1577:
1574:
1519:Roman numerals
1473:capital letter
1456:
1453:
1425:Arabic numeral
1418: 300 BCE
1315:
1312:
1310:
1307:
1198:gender-neutral
1151:
1148:
1117:
1114:
1106:
1103:
1091:Leonhard Euler
1071:Main article:
1068:
1065:
1008:almost certain
965:
962:
959:
933:Giuseppe Peano
913:
910:
907:
904:
880:
877:
872:
846:
843:
838:
834:
809:
806:
803:
800:
797:
794:
791:
788:
785:
765:
734:natural number
729:
728:In mathematics
726:
654:
653:
648:
642:
641:
638:
632:
631:
626:
620:Aegean numeral
612:
611:
608:
602:
601:
596:
590:
589:
584:
578:
577:
572:
566:
565:
560:
554:
553:
550:
544:
543:
540:
534:
533:
528:
522:
521:
514:
508:
507:
504:
498:
497:
490:
484:
483:
473:
467:
466:
461:
455:
454:
449:
443:
442:
439:
433:
432:
427:
417:
416:
411:
389:
388:
385:
379:
378:
375:
372:
366:
365:
362:
359:
353:
352:
349:
346:
340:
339:
336:
333:
327:
326:
323:
320:
314:
313:
310:
307:
301:
300:
295:
286:
285:
276:
267:
266:
263:
257:
256:
253:
247:
246:
243:
237:
236:
231:
225:
224:
219:
217:Numeral system
213:
212:
207:
201:
200:
197:
191:
190:
152:
149:
148:
143:
137:
136:
98:
95:
94:
91:
90:
85:
82:
69:Natural number
68:
60:, you may see
48:
47:
46:
28:
9:
6:
4:
3:
2:
10271:
10260:
10257:
10255:
10252:
10251:
10249:
10234:
10230:
10226:
10224:
10220:
10216:
10214:
10206:
10204:
10196:
10194:
10186:
10185:
10182:
10176:
10173:
10171:
10168:
10166:
10163:
10161:
10158:
10156:
10153:
10151:
10150:Modular forms
10148:
10146:
10143:
10142:
10140:
10136:
10130:
10127:
10125:
10122:
10120:
10117:
10115:
10112:
10109:
10105:
10102:
10100:
10097:
10095:
10092:
10090:
10087:
10085:
10082:
10080:
10077:
10075:
10074:Prime numbers
10072:
10070:
10067:
10065:
10062:
10060:
10057:
10055:
10052:
10051:
10049:
10045:
10039:
10036:
10034:
10031:
10028:
10024:
10020:
10017:
10014:
10010:
10007:
10004:
10000:
9996:
9993:
9991:
9988:
9986:
9983:
9981:
9978:
9975:
9971:
9967:
9963:
9960:
9957:
9956:Kummer theory
9953:
9949:
9945:
9941:
9937:
9934:
9933:
9931:
9927:
9923:
9922:Number theory
9916:
9911:
9909:
9904:
9902:
9897:
9896:
9893:
9877:
9876:1,000,000,000
9874:
9872:
9869:
9867:
9864:
9862:
9859:
9857:
9854:
9853:
9850:
9844:
9841:
9839:
9836:
9834:
9831:
9829:
9826:
9824:
9821:
9819:
9816:
9814:
9811:
9809:
9806:
9804:
9801:
9800:
9797:
9791:
9788:
9786:
9783:
9781:
9778:
9776:
9773:
9771:
9768:
9766:
9763:
9761:
9758:
9756:
9753:
9751:
9748:
9747:
9744:
9740:
9734:
9730:
9720:
9717:
9715:
9712:
9710:
9707:
9705:
9702:
9700:
9697:
9695:
9692:
9690:
9687:
9685:
9682:
9680:
9677:
9675:
9672:
9671:
9668:
9662:
9659:
9657:
9654:
9652:
9649:
9647:
9644:
9642:
9639:
9637:
9634:
9632:
9629:
9627:
9624:
9622:
9619:
9617:
9614:
9613:
9610:
9604:
9601:
9599:
9596:
9594:
9591:
9589:
9586:
9584:
9581:
9579:
9576:
9574:
9571:
9569:
9566:
9564:
9561:
9559:
9556:
9555:
9552:
9546:
9543:
9541:
9538:
9536:
9533:
9531:
9528:
9526:
9523:
9521:
9518:
9516:
9513:
9511:
9508:
9506:
9503:
9501:
9498:
9497:
9494:
9488:
9485:
9483:
9480:
9478:
9475:
9473:
9470:
9468:
9465:
9463:
9460:
9458:
9455:
9453:
9450:
9448:
9445:
9443:
9440:
9439:
9436:
9430:
9427:
9425:
9422:
9420:
9417:
9415:
9412:
9410:
9407:
9405:
9402:
9400:
9397:
9395:
9392:
9390:
9387:
9385:
9382:
9381:
9378:
9372:
9369:
9367:
9364:
9362:
9359:
9357:
9354:
9352:
9349:
9347:
9344:
9342:
9339:
9337:
9334:
9332:
9329:
9327:
9324:
9323:
9320:
9314:
9311:
9309:
9306:
9304:
9301:
9299:
9296:
9294:
9291:
9289:
9286:
9284:
9281:
9279:
9276:
9274:
9271:
9269:
9266:
9265:
9262:
9256:
9253:
9251:
9248:
9246:
9243:
9241:
9238:
9236:
9233:
9231:
9228:
9226:
9223:
9221:
9218:
9216:
9213:
9211:
9208:
9207:
9204:
9198:
9195:
9193:
9190:
9188:
9185:
9183:
9180:
9178:
9175:
9173:
9170:
9168:
9165:
9163:
9160:
9158:
9155:
9153:
9150:
9149:
9146:
9142:
9137:
9133:
9123:
9120:
9118:
9115:
9113:
9110:
9108:
9105:
9103:
9100:
9098:
9095:
9093:
9090:
9088:
9085:
9083:
9080:
9078:
9075:
9074:
9071:
9065:
9062:
9060:
9057:
9055:
9052:
9050:
9047:
9045:
9042:
9040:
9037:
9035:
9032:
9030:
9027:
9025:
9022:
9020:
9017:
9016:
9013:
9007:
9004:
9002:
8999:
8997:
8994:
8992:
8989:
8987:
8984:
8982:
8979:
8977:
8974:
8972:
8969:
8967:
8964:
8962:
8959:
8958:
8955:
8949:
8946:
8944:
8941:
8939:
8936:
8934:
8931:
8929:
8926:
8924:
8921:
8919:
8916:
8914:
8911:
8909:
8906:
8904:
8901:
8900:
8897:
8891:
8888:
8886:
8883:
8881:
8878:
8876:
8873:
8871:
8868:
8866:
8863:
8861:
8858:
8856:
8853:
8851:
8848:
8846:
8843:
8842:
8839:
8833:
8830:
8828:
8825:
8823:
8820:
8818:
8815:
8813:
8810:
8808:
8805:
8803:
8800:
8798:
8795:
8793:
8790:
8788:
8785:
8784:
8781:
8775:
8772:
8770:
8767:
8765:
8762:
8760:
8757:
8755:
8752:
8750:
8747:
8745:
8742:
8740:
8737:
8735:
8732:
8730:
8727:
8726:
8723:
8717:
8714:
8712:
8709:
8707:
8704:
8702:
8699:
8697:
8694:
8692:
8689:
8687:
8684:
8682:
8679:
8677:
8674:
8672:
8669:
8668:
8665:
8659:
8656:
8654:
8651:
8649:
8646:
8644:
8641:
8639:
8636:
8634:
8631:
8629:
8626:
8624:
8621:
8619:
8616:
8614:
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4221:
4218:
4216:
4213:
4211:
4208:
4206:
4203:
4201:
4198:
4196:
4193:
4191:
4188:
4186:
4183:
4182:
4179:
4173:
4170:
4168:
4165:
4163:
4160:
4158:
4155:
4153:
4150:
4148:
4145:
4143:
4140:
4138:
4135:
4133:
4130:
4128:
4125:
4124:
4121:
4115:
4112:
4110:
4107:
4105:
4102:
4100:
4097:
4095:
4092:
4090:
4087:
4085:
4082:
4080:
4077:
4075:
4072:
4070:
4067:
4066:
4063:
4057:
4054:
4052:
4049:
4047:
4044:
4042:
4039:
4037:
4034:
4032:
4029:
4027:
4024:
4022:
4019:
4017:
4014:
4012:
4009:
4008:
4005:
3999:
3996:
3994:
3991:
3989:
3986:
3984:
3981:
3979:
3976:
3974:
3971:
3969:
3966:
3964:
3961:
3959:
3956:
3954:
3951:
3950:
3947:
3941:
3938:
3936:
3933:
3931:
3928:
3926:
3923:
3921:
3918:
3916:
3913:
3911:
3908:
3906:
3903:
3901:
3898:
3896:
3893:
3892:
3889:
3883:
3880:
3878:
3875:
3873:
3870:
3868:
3865:
3863:
3860:
3858:
3855:
3853:
3850:
3848:
3845:
3843:
3840:
3838:
3835:
3834:
3831:
3824:
3820:
3817:
3813:
3810:
3806:
3803:
3799:
3796:
3792:
3789:
3785:
3782:
3778:
3775:
3771:
3768:
3764:
3761:
3757:
3754:
3750:
3749:
3746:
3742:
3737:
3733:
3729:
3722:
3717:
3715:
3710:
3708:
3703:
3702:
3699:
3684:
3678:
3674:
3673:
3668:
3664:
3654:
3650:
3645:
3641:
3635:
3631:
3626:
3622:
3616:
3612:
3607:
3603:
3599:
3595:
3590:
3589:
3583:
3579:
3575:
3571:
3567:
3562:
3561:
3555:
3551:
3547:
3545:9780310521563
3541:
3537:
3532:
3528:
3524:
3520:
3514:
3510:
3506:
3505:
3500:
3496:
3492:
3486:
3482:
3477:
3473:
3469:
3465:
3461:
3457:
3453:
3449:
3445:
3441:
3437:
3436:
3431:
3427:
3423:
3419:
3415:
3411:
3407:
3402:
3398:
3394:
3390:
3384:
3380:
3376:
3375:
3370:
3366:
3362:
3356:
3352:
3347:
3343:
3339:
3335:
3329:
3325:
3321:
3320:
3315:
3311:
3307:
3303:
3297:
3294:. CRC Press.
3293:
3288:
3284:
3280:
3276:
3274:9780385672665
3270:
3266:
3262:
3261:
3256:
3252:
3248:
3244:
3240:
3234:
3230:
3226:
3225:
3220:
3216:
3211:
3209:9780724809400
3205:
3201:
3196:
3192:
3188:
3184:
3182:0-387-90092-6
3178:
3174:
3170:
3166:
3162:
3158:
3157:
3152:
3148:
3144:
3142:0-201-14236-8
3138:
3134:
3133:
3128:
3124:
3120:
3116:
3112:
3106:
3102:
3101:
3095:
3091:
3085:
3081:
3076:
3072:
3066:
3062:
3057:
3053:
3049:
3045:
3041:
3037:
3031:
3027:
3023:
3019:
3015:
3014:
3009:
3005:
3001:
2997:
2991:
2987:
2982:
2978:
2972:
2968:
2967:
2961:
2957:
2951:
2947:
2943:
2939:
2938:
2935:
2930:
2926:
2920:
2916:
2911:
2907:
2906:
2903:
2898:
2894:
2888:
2884:
2880:
2876:
2875:
2869:
2865:
2863:0-226-10389-7
2859:
2855:
2850:
2846:
2842:
2838:
2834:
2833:
2828:
2823:
2819:
2815:
2811:
2807:
2803:
2800:
2796:
2792:
2791:
2786:
2781:
2777:
2771:
2767:
2766:
2760:
2759:
2745:
2738:
2733:
2717:
2713:
2709:
2705:
2701:
2697:
2693:
2689:
2682:
2675:
2670:
2668:
2660:
2655:
2648:
2643:
2636:
2631:
2616:
2612:
2608:
2606:
2602:
2594:
2588:, p. 48.
2587:
2582:
2576:, p. 34.
2575:
2570:
2563:
2562:Woodford 2006
2558:
2551:
2546:
2538:
2531:
2523:
2517:
2509:
2503:
2495:
2488:
2481:
2476:
2469:
2464:
2457:
2452:
2444:
2440:
2434:
2420:
2416:
2410:
2404:, p. 93.
2403:
2398:
2391:
2386:
2377:
2372:
2368:
2364:
2360:
2353:
2346:
2341:
2334:
2329:
2322:
2317:
2311:, p. 17.
2310:
2305:
2303:
2295:
2290:
2283:
2278:
2263:
2259:
2255:
2248:
2241:
2236:
2229:
2224:
2217:
2212:
2205:
2200:
2193:
2188:
2173:
2169:
2165:
2159:
2152:
2147:
2140:
2135:
2128:
2123:
2116:
2111:
2109:
2101:
2096:
2089:
2088:Kottwitz 1988
2084:
2077:
2072:
2065:
2060:
2052:
2048:
2044:
2040:
2036:
2032:
2028:
2024:
2023:
2018:
2011:
2002:
1996:, p. 35.
1995:
1990:
1983:
1978:
1971:
1966:
1960:, p. 14.
1959:
1954:
1948:, p. 32.
1947:
1942:
1936:, p. 27.
1935:
1930:
1923:
1918:
1911:
1906:
1904:
1896:
1891:
1884:
1879:
1875:
1866:
1865:Root of unity
1863:
1861:
1858:
1856:
1853:
1851:
1848:
1847:
1843:
1837:
1832:
1825:
1823:
1819:
1815:
1814:neoplatonists
1811:
1807:
1806:
1801:
1797:
1793:
1788:
1782:
1772:
1770:
1769:alkali metals
1766:
1765:atomic number
1762:
1759:in the known
1758:
1755:and the most
1754:
1750:
1741:
1739:
1738:wavefunctions
1735:
1731:
1727:
1723:
1719:
1715:
1711:
1697:
1683:
1680:
1677:
1674:
1671:
1651:
1631:
1623:
1619:
1615:
1611:
1607:
1603:
1599:
1595:
1591:
1587:
1583:
1576:In technology
1573:
1571:
1566:
1562:
1553:
1548:
1543:
1538:
1535:or uppercase
1534:
1530:
1525:
1521:system where
1520:
1508:
1504:
1500:
1495:
1490:
1486:
1482:
1478:
1474:
1470:
1466:
1465:lining figure
1462:
1452:
1450:
1446:
1442:
1438:
1434:
1430:
1426:
1421:
1405:
1402:
1398:
1393:
1388:
1377:
1373:
1369:
1366:
1360:
1352:
1348:
1344:
1336:
1329:
1325:
1320:
1306:
1304:
1299:
1297:
1293:
1289:
1285:
1281:
1277:
1273:
1269:
1265:
1261:
1257:
1253:
1249:
1245:
1241:
1237:
1233:
1229:
1225:
1221:
1217:
1212:
1210:
1206:
1202:
1199:
1195:
1191:
1189:
1185:
1181:
1177:
1173:
1169:
1165:
1161:
1157:
1147:
1145:
1142:
1138:
1134:
1130:
1126:
1122:
1112:
1111:One (pronoun)
1102:
1100:
1096:
1092:
1088:
1084:
1080:
1074:
1064:
1062:
1058:
1053:
1051:
1050:Benford's law
1046:
1044:
1040:
1036:
1032:
1027:
1025:
1021:
1017:
1013:
1009:
1005:
1001:
1000:unit interval
997:
992:
990:
986:
983:, as used in
982:
977:
960:
950:
946:
942:
938:
934:
929:
927:
926:empty product
911:
908:
905:
902:
894:
878:
875:
870:
860:
844:
841:
836:
832:
823:
807:
804:
801:
798:
795:
792:
789:
786:
783:
763:
755:
751:
747:
743:
739:
735:
725:
723:
719:
715:
711:
706:
704:
700:
696:
692:
688:
684:
680:
676:
672:
668:
664:
660:
649:
647:
643:
639:
637:
636:Mayan numeral
633:
627:
625:
621:
617:
613:
609:
607:
603:
597:
595:
591:
585:
583:
579:
573:
571:
567:
561:
559:
555:
551:
549:
545:
541:
539:
535:
529:
527:
523:
519:
515:
513:
509:
505:
503:
499:
496:
491:
489:
485:
481:
474:
472:
468:
462:
460:
456:
450:
448:
444:
440:
438:
434:
428:
426:
422:
418:
412:
410:
406:
402:
398:
394:
390:
386:
384:
383:Greek numeral
380:
373:
371:
367:
360:
358:
354:
347:
345:
341:
334:
332:
328:
321:
319:
315:
308:
306:
302:
299:
296:
294:
291:
287:
284:
280:
277:
275:
272:
268:
264:
262:
261:Roman numeral
258:
254:
252:
251:Greek numeral
248:
244:
242:
238:
235:
232:
230:
229:Factorization
226:
223:
220:
218:
214:
208:
206:
202:
198:
196:
192:
188:
185:
182:
179:
176:
173:
170:
167:
164:
161:
158:
155:
147:
144:
142:
139:
138:
134:
131:
128:
125:
122:
119:
116:
113:
110:
107:
104:
101:
96:
89:
86:
83:
81:
78:
77:
73:
63:
59:
55:
53:
43:
39:
35:
27:
19:
10068:
10047:Key concepts
9974:sieve theory
3766:
3686:. Retrieved
3671:
3656:. Retrieved
3652:
3629:
3610:
3593:
3587:
3565:
3559:
3535:
3503:
3480:
3439:
3433:
3413:
3409:
3373:
3350:
3318:
3291:
3259:
3223:
3199:
3155:
3131:
3099:
3079:
3060:
3012:
3008:Lurie, Jacob
2985:
2965:
2937:
2934:
2914:
2905:
2902:
2873:
2853:
2836:
2830:
2794:
2788:
2764:
2744:
2732:
2720:. Retrieved
2695:
2691:
2681:
2674:Stewart 2024
2654:
2647:McWeeny 1972
2642:
2630:
2619:. Retrieved
2610:
2604:
2600:
2593:
2581:
2574:Godbole 2002
2569:
2557:
2545:
2530:
2516:
2502:
2487:
2475:
2468:Chicago 1993
2463:
2451:
2442:
2433:
2422:. Retrieved
2418:
2409:
2397:
2385:
2366:
2362:
2352:
2340:
2328:
2316:
2294:Crystal 2008
2289:
2284:, p. 4.
2277:
2266:. Retrieved
2257:
2247:
2235:
2223:
2211:
2199:
2192:Hurford 1994
2187:
2176:. Retrieved
2167:
2158:
2146:
2134:
2122:
2095:
2083:
2071:
2066:, p. 4.
2059:
2026:
2020:
2010:
2001:
1989:
1977:
1965:
1953:
1941:
1929:
1924:, p. 1.
1917:
1910:Kennedy 1974
1890:
1878:
1803:
1794:philosopher
1787:monotheistic
1784:
1747:
1729:
1726:Planck units
1722:natural unit
1708:
1579:
1564:
1560:
1536:
1532:
1503:Hoefler Text
1498:
1484:
1480:
1477:text figures
1464:
1458:
1422:
1376:clay tablets
1362:
1351:text figures
1347:Hoefler Text
1327:
1300:
1263:
1259:
1255:
1251:
1247:
1243:
1239:
1235:
1231:
1227:
1223:
1219:
1215:
1213:
1208:
1193:
1192:
1187:
1183:
1179:
1163:
1155:
1153:
1150:Modern usage
1143:
1136:
1128:
1120:
1119:
1098:
1079:prime number
1076:
1054:
1047:
1028:
1016:unit vectors
995:
993:
978:
937:Peano axioms
930:
750:real numbers
731:
710:prime number
707:
670:
666:
662:
658:
657:
105:
49:
26:
10233:Wikiversity
10155:L-functions
9871:100,000,000
3450:: 629–646.
2659:Emsley 2001
2402:Cullen 2007
2369:: 136–142.
2064:Miller 2015
1958:Hodges 2009
1946:Halmos 1974
1883:Colman 1912
1716:, selected
1602:logic gates
1598:transistors
1582:binary code
1529:typewriters
1509:version of
1372:sexagesimal
1262:) leads to
1139:, from the
1125:Old English
1004:probability
859:square root
718:binary code
703:measurement
370:Hexadecimal
10254:1 (number)
10248:Categories
10114:Arithmetic
9866:10,000,000
3688:2016-03-24
3658:2024-08-21
3653:Brittanica
3602:39.0084.01
3574:21.0051.02
3490:0486143805
3446:& the
3342:1255524478
3301:1420048775
3052:1439.14006
2995:0198503415
2955:0614971667
2818:1285.11001
2775:9401097119
2737:Olson 2017
2621:2024-08-20
2424:2023-11-21
2268:2022-02-24
2178:2013-12-30
1934:Peano 1908
1922:Peano 1889
1871:References
1781:Numerology
1700:In science
1584:, i.e., a
1507:small caps
1459:In modern
1449:Al-Andalus
1374:system on
1357:See also:
1284:solo dance
1258:(implying
1196:is also a
1174:countable
1170:used with
1168:determiner
1109:See also:
996:normalized
738:succession
646:Morse code
447:Devanāgarī
357:Duodecimal
80:← 0
9861:1,000,000
3283:118490841
2712:145065082
2456:Polt 2015
2043:0002-9890
1970:Hext 1990
1763:, has an
1744:Chemistry
1594:computers
1499:old-style
1461:typefaces
1387:cuneiform
1303:logograms
1238:denoting
1116:Etymology
1105:As a word
1067:Primality
949:singleton
893:factorial
799:×
787:×
722:computing
651:. _ _ _ _
548:Malayalam
88:2 →
10259:Integers
10223:Wikibook
10193:Category
3728:Integers
3669:(2006).
3584:(1908).
3556:(1889).
3397:29702087
3371:(1994).
3257:(2009).
3165:Springer
3153:(1974).
3129:(1994).
3010:(2019).
2804:: 1–14.
2716:Archived
2262:Archived
2172:Archived
1860:0.999...
1828:See also
1810:Plotinus
1800:Boethius
1761:universe
1749:Hydrogen
1489:x-height
1469:ascender
1467:with an
1365:Sumerian
1326:, using
1296:monopoly
1292:monogamy
1288:monorail
1276:universe
1272:unicycle
1260:one-like
1240:one time
1230:meaning
1218:include
1178:, as in
1172:singular
1133:Germanic
1059:for all
1020:integral
989:counting
985:tallying
746:integers
699:counting
538:Armenian
471:Georgian
421:Assamese
241:Divisors
195:Cardinal
146:Integers
10054:Numbers
9856:100,000
3527:3408774
3472:0942522
3464:2007007
3247:2435558
3191:0453532
3044:3887650
2845:3005523
2810:3005530
2755:Sources
2722:May 16,
2051:2321863
1818:The One
1714:physics
1705:Physics
1664:once (1
1445:Maghreb
1433:Brahmic
1404:Semitic
1397:Eblaite
1368:decimal
1314:History
1280:unicorn
1232:not one
1224:all one
1201:pronoun
1144:*oi-no-
1041:of the
1012:vectors
744:of the
679:numeral
673:) is a
512:Kannada
425:Bengali
401:Persian
397:Kurdish
318:Ternary
211:(first)
205:Ordinal
9929:Fields
9843:90,000
9838:80,000
9833:70,000
9828:60,000
9823:50,000
9818:40,000
9813:30,000
9808:20,000
9803:10,000
3825:
3821:
3818:
3814:
3811:
3807:
3804:
3800:
3797:
3793:
3790:
3786:
3783:
3779:
3776:
3772:
3769:
3765:
3762:
3758:
3755:
3751:
3679:
3636:
3617:
3600:
3572:
3542:
3525:
3515:
3487:
3470:
3462:
3395:
3385:
3357:
3340:
3330:
3298:
3281:
3271:
3245:
3235:
3206:
3189:
3179:
3139:
3107:
3086:
3067:
3050:
3042:
3032:
2992:
2973:
2952:
2921:
2889:
2860:
2843:
2816:
2808:
2772:
2710:
2617:. 2008
2603:(1.6)
2049:
2041:
1437:Ashoka
1324:Venice
1264:lonely
1248:at one
1242:, and
1205:person
1137:*ainaz
1081:nor a
857:) and
822:square
752:, and
681:, and
675:number
594:Telugu
558:Meitei
488:Hebrew
423:&
405:Sindhi
393:Arabic
331:Senary
305:Binary
293:prefix
283:haplo-
274:prefix
29:Number
10069:Unity
3592:[
3564:[
3460:JSTOR
3438:. 2.
3279:S2CID
2708:S2CID
2047:JSTOR
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784:1
764:n
661:(
659:1
640:•
599:೧
587:௧
575:๑
563:꯱
552:൧
542:Ա
531:១
518:೧
494:א
482:)
478:(
464:፩
452:१
430:১
414:١
374:1
361:1
350:8
348:1
337:6
335:1
324:3
322:1
311:2
309:1
281:/
245:1
234:∅
187:→
157:0
154:←
133:→
130:9
127:8
124:7
121:6
118:5
115:4
112:3
109:2
106:1
103:0
84:1
64:.
54:.
44:.
20:)
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