4348:
hand around to its backside may help to further disambiguate which hand represents the 'sixes' and which represents the units. The downside to senary counting, however, is that without prior agreement two parties would be unable to utilize this system, being unsure which hand represents sixes and which hand represents ones, whereas decimal-based counting (with numbers beyond 5 being expressed by an open palm and additional fingers) being essentially a
1649:
If a number is divisible by 2, then the final digit of that number, when expressed in senary, is 0, 2, or 4. If a number is divisible by 3, then the final digit of that number in senary is 0 or 3. A number is divisible by 4 if its penultimate digit is odd and its final digit is 2, or its penultimate
4347:
Which hand is used for the 'sixes' and which the units is down to preference on the part of the counter; however, when viewed from the counter's perspective, using the left hand as the most significant digit correlates with the written representation of the same senary number. Flipping the 'sixes'
1654:
in decimal). If a number is divisible by 6, then the final digit of that number is 0. To determine whether a number is divisible by 7, one can sum its alternate digits and subtract those sums; if the result is divisible by 7, the number is divisible by 7, similar to the "11" divisibility test in
4398:
Despite the rarity of cultures that group large quantities by 6, a review of the development of numeral systems suggests a threshold of numerosity at 6 (possibly being conceptualized as "whole", "fist", or "beyond five fingers"), with 1–6 often being pure forms, and numerals thereafter being
1646: − 1, making its multiplication table highly regular for its size, minimizing the amount of effort required to memorize its table. This property maximizes the probability that the result of an integer multiplication will end in zero, given that neither of its factors do.
4284:
4275:
4340:, as the movement from one position to the next is done by switching from one hand to another. While most developed cultures count by fingers up to 5 in very similar ways, beyond 5 non-Western cultures deviate from Western methods, such as with
1525:
2, 3, 5, 11, 15, 21, 25, 31, 35, 45, 51, 101, 105, 111, 115, 125, 135, 141, 151, 155, 201, 211, 215, 225, 241, 245, 251, 255, 301, 305, 331, 335, 345, 351, 405, 411, 421, 431, 435, 445, 455, 501, 515, 521, 525, 531, 551, ... (sequence
4344:. As senary finger counting also deviates only beyond 5, this counting method rivals the simplicity of traditional counting methods, a fact which may have implications for the teaching of positional notation to young students.
4502:
For some purposes, senary might be too small a base for convenience. This can be worked around by using its square, base 36 (hexatrigesimal), as then conversion is facilitated by simply making the following replacements:
4486:
has also been suspected to have had senary numerals, with a numeral for 7 being borrowed later, though evidence for constructing larger numerals (8 and 9) subtractively from ten suggests that this may not be so.
1265:
4437:. In these languages, counting is connected to ritualized yam-counting. These languages count from a base six, employing words for the powers of six; running up to 6 for some of the languages. One example is
900:
1175:
953:
1094:
5325:
4309:
If the right hand is used to represent a unit (0 to 5), and the left to represent the multiples of 6, then it becomes possible for one person to represent the values from zero to 55
989:
1296:
1128:
1024:
1322:
5143:
4363:
are restricted to be senary numbers of at most two digits, so that the referees can signal which player committed an infraction by using this finger-counting system.
1202:
4317:) with their fingers, rather than the usual ten obtained in standard finger counting. e.g. if three fingers are extended on the left hand and four on the right, 34
1047:
4306:
Each regular human hand may be said to have six unambiguous positions; a fist, one finger extended, two, three, four, and then all five fingers extended.
5294:
1533:
710:
430:
5358:
4378:, allow counting to 99, 1023, or even higher depending on the method (though not necessarily senary in nature). The English monk and historian
1623:
besides 6 have 44 as the final two digits when expressed in senary, which is proven by the fact that every even perfect number is of the form
1650:
digit is even and its final digit is 0 or 4. A number is divisible by 5 if the sum of its senary digits is divisible by 5 (the equivalent of
4968:
encoding scheme. The compression effect of 36 being the square of 6 causes a lot of patterns and representations to be shorter in base 36:
1207:
5504:
5209:
263:
5187:
832:
810:
54:
497:
5417:
5245:
Blevins, Juliette (3 May 2018). "Origins of
Northern Costanoan ʃak:en 'six':A Reconsideration of Senary Counting in Utian".
5231:
703:
278:
623:
633:
450:
809:, though it is unique as the product of the only two consecutive numbers that are both prime (2 and 3). As six is a
1612:
Additionally, since the smallest four primes (2, 3, 5, 7) are either divisors or neighbors of 6, senary has simple
510:
4957:
1136:
606:
375:
908:
5509:
1056:
696:
23:
4341:
958:
686:
470:
67:
4336:
Additionally, this method is the least abstract way to count using two hands that reflects the concept of
370:
286:
4483:
4469:
4407:
1664:
1270:
1102:
998:
488:
5429:
5367:
4349:
1334:
1050:
583:
444:
437:
318:
4337:
665:
530:
481:
293:
225:
80:
41:
1671:
and is adjacent to the next two prime numbers, many senary fractions have simple representations:
1305:
5445:
5391:
5317:
5270:
5262:
5149:
1545:
578:
331:
168:
163:
110:
4438:
5479:
5383:
5225:
5154:
1651:
1613:
1182:
826:
660:
650:
638:
618:
573:
568:
504:
336:
308:
215:
148:
138:
125:
90:
85:
4495:"Base 36" redirects here. For the encoding scheme used to represent binary data as text, see
1521:
other than 2 and 3 have 1 or 5 as the final digit. In senary, the prime numbers are written:
5437:
5375:
5309:
5254:
4430:
730:
563:
457:
210:
198:
143:
133:
100:
75:
1187:
4472:
have been reported to use a senary number system, usually in addition to another, such as
4367:
4360:
4356:
4264:
1097:
675:
645:
588:
558:
543:
303:
271:
243:
220:
203:
62:
655:
5433:
5371:
1029:
5352:
4961:
1620:
1560: − 5); the final digit is a 1 or a 5. This is proved by contradiction.
1178:
992:
778:
670:
613:
593:
548:
421:
153:
120:
105:
31:
4283:
4274:
5498:
5449:
5395:
5274:
5179:
5121:
4434:
4403:
4375:
476:
365:
298:
238:
173:
115:
95:
5321:
1668:
1518:
1131:
903:
628:
553:
5418:"The Work of Glendon Lean on the Counting Systems of Papua New Guinea and Oceania"
5353:"The work of Glendon Lean on the counting systems of Papua New Guinea and Oceania"
5453:
1299:
598:
463:
415:
405:
5266:
5212:. Laputan Logic. 16 November 2006. Archived from the original on 23 March 2012
4352:
system only requires the other party to count the number of extended fingers.
814:
400:
158:
5484:
5474:
5387:
5158:
4477:
4371:
806:
801:. It has been adopted independently by a small number of cultures. Like the
410:
5144:"Crunching the Numbers: College Basketball Players Can't Wear 6, 7, 8 or 9"
5489:
5313:
5109:
1639:
5441:
5379:
4473:
802:
395:
380:
5115:
4965:
4496:
1260:{\displaystyle \lbrace n\in {\mathcal {D}}_{6}^{*},n\sim 0n\rbrace }
5258:
4953:
798:
390:
352:
313:
4379:
4956:
is convenient in that the digits can be represented using the
895:{\displaystyle {\mathcal {D}}_{6}=\lbrace 0,1,2,3,4,5\rbrace }
766:
745:
739:
4390:," a system which allowed counting up to 9,999 on two hands.
5112:
method to encode base-6 values into pronounceable passwords.
1277:
1223:
1143:
1109:
1075:
1005:
965:
839:
5469:
1528:
769:
760:
748:
5180:"Hand sums: The ancient art of counting with your fingers"
5124:
to encrypt text into a series of effectively senary digits
794:
4388:
Tractatus de computo, vel loquela per gestum digitorum
1308:
1273:
1210:
1190:
1139:
1105:
1059:
1032:
1001:
961:
911:
835:
763:
757:
742:
736:
754:
733:
5351:
5142:
1316:
1290:
1259:
1196:
1169:
1122:
1088:
1041:
1018:
983:
947:
894:
5247:International Journal of American Linguistics
4382:, described in the first chapter of his work
813:, many of the arguments made in favor of the
704:
8:
1552:≡ 1 or 5 (mod 6) (that is, 6 divides either
1254:
1211:
1170:{\displaystyle {\mathcal {D}}_{6}^{*}/\sim }
889:
853:
1331:
948:{\displaystyle 0<1<2<3<4<5}
711:
697:
47:
18:
1310:
1309:
1307:
1282:
1276:
1275:
1272:
1233:
1228:
1222:
1221:
1209:
1189:
1159:
1153:
1148:
1142:
1141:
1138:
1114:
1108:
1107:
1104:
1089:{\displaystyle a,b\in {\mathcal {D}}^{*}}
1080:
1074:
1073:
1058:
1031:
1010:
1004:
1003:
1000:
975:
970:
964:
963:
960:
910:
844:
838:
837:
834:
5288:
5286:
5284:
4505:
1715:
1676:
1673:
817:system also apply to the senary system.
5133:
1634:Senary is also the largest number base
30:
5422:Mathematics Education Research Journal
5359:Mathematics Education Research Journal
5223:
4410:is reported to have senary numerals.
4321:is represented. This is equivalent to
984:{\displaystyle {\mathcal {D}}_{6}^{*}}
4964:A–Z; this choice is the basis of the
4945:is equal to the senary number 3144332
1745:Prime factors of one above the base:
1736:Prime factors of one below the base:
1706:Prime factors of one above the base:
1697:Prime factors of one below the base:
7:
5485:Number-Base Radix Converter (Sooeet)
5190:from the original on August 13, 2011
5178:Bloom, Jonathan M. (Spring 2002).
5141:Schonbrun, Zach (March 31, 2015).
1291:{\displaystyle {\mathcal {N}}_{6}}
1123:{\displaystyle {\mathcal {N}}_{6}}
1019:{\displaystyle {\mathcal {D}}_{6}}
829:of digits in the senary system is
14:
4282:
4273:
1540:That is, for every prime number
811:superior highly composite number
729:
5470:Comprehensive base six resource
5331:from the original on 2016-04-06
4211:
4141:
4133:
4063:
4055:
3985:
3977:
3853:
3845:
3775:
3767:
3697:
3689:
3625:
3617:
3548:
3484:
3476:
3412:
3338:
3274:
3266:
3202:
3194:
3124:
3116:
3046:
2977:
2969:
2900:
2836:
2828:
2704:
2696:
2626:
2618:
2554:
2546:
2477:
2413:
2405:
2341:
2267:
2149:
2141:
2072:
2004:
1872:
1096:. The senary number system for
5293:Plank, Frans (26 April 2009).
1517:When expressed in senary, all
1:
4949:. In decimal, it is 153,920.
4941:Thus, the base-36 number 3ARK
4491:Base 36 as senary compression
4441:with the following numerals:
4237:
4224:
4198:
4181:
4162:
4149:
4120:
4103:
4084:
4071:
4042:
4025:
4006:
3993:
3964:
3947:
3928:
3921:
3904:
3887:
3868:
3861:
3838:
3821:
3802:
3783:
3748:
3731:
3712:
3705:
3694:0344827586206896551724137931
3682:
3665:
3646:
3633:
3604:
3587:
3568:
3561:
3541:
3524:
3505:
3492:
3463:
3446:
3427:
3420:
3400:
3383:
3364:
3351:
3325:
3308:
3289:
3282:
3259:
3242:
3223:
3210:
3181:
3164:
3145:
3132:
3103:
3086:
3067:
3054:
3028:
3011:
2992:
2985:
2962:
2945:
2926:
2913:
2887:
2870:
2851:
2844:
2821:
2804:
2785:
2778:
2761:
2744:
2725:
2712:
2683:
2666:
2647:
2634:
2605:
2588:
2569:
2562:
2539:
2522:
2503:
2490:
2464:
2447:
2428:
2421:
2398:
2381:
2362:
2349:
2323:
2306:
2287:
2280:
2260:
2243:
2224:
2217:
2200:
2183:
2164:
2157:
2134:
2117:
2098:
2085:
2059:
2042:
2023:
2016:
1992:
1975:
1956:
1949:
1932:
1915:
1896:
1889:
1865:
1848:
1829:
1822:
1805:
1788:
1783:
1776:
1773:
1770:
1763:
1760:
1544:greater than 3, one has the
1317:{\displaystyle \mathbb {N} }
1298:has a shortlex order, it is
4843:
4784:
4725:
4625:
4566:
4507:
4300:, in senary finger counting
1721:Prime factors of the base:
1682:Prime factors of the base:
5526:
5505:Positional numeral systems
4721:
4494:
4262:
1774:Positional representation
1771:Positional representation
431:Non-standard radices/bases
5350:Owens, Kay (April 2001).
5230:: CS1 maint: unfit URL (
4399:constructed or borrowed.
5475:Shack's base six dialect
1556: − 1 or
5295:"Senary summary so far"
4342:Chinese number gestures
1328:Mathematical properties
1302:to the natural numbers
805:base 10, the base is a
687:List of numeral systems
5480:Senary base conversion
4952:The choice of 36 as a
3271:0434782608695652173913
1619:Furthermore, all even
1548:relations that either
1318:
1292:
1261:
1198:
1171:
1124:
1090:
1043:
1020:
985:
949:
896:
5405:– via Springer.
5314:10.1515/LITY.2009.016
4470:Niger-Congo languages
4429:Another example from
4408:Indonesian New Guinea
1319:
1293:
1262:
1199:
1197:{\displaystyle \sim }
1172:
1125:
1091:
1044:
1021:
986:
950:
897:
55:Hindu–Arabic numerals
16:Base-6 numeral system
1335:multiplication table
1306:
1271:
1208:
1188:
1137:
1103:
1057:
1051:string concatenation
1049:is the operation of
1030:
999:
959:
909:
833:
584:Prehistoric counting
360:Common radices/bases
42:Place-value notation
5434:2001MEdRJ..13...47O
5416:Owens, Kay (2001),
5372:2001MEdRJ..13...47O
5302:Linguistic Typology
4426:means 36 × 2 = 72.
4384:De temporum ratione
4338:positional notation
1663:Because six is the
1337:
1238:
1158:
980:
531:Sign-value notation
5442:10.1007/BF03217098
5380:10.1007/BF03217098
5150:The New York Times
4418:means 6 × 2 = 12,
2974:052631578947368421
1780:of the denominator
1767:of the denominator
1616:for many numbers.
1614:divisibility tests
1546:modular arithmetic
1332:
1314:
1288:
1257:
1220:
1194:
1167:
1140:
1120:
1086:
1042:{\displaystyle ab}
1039:
1016:
981:
962:
945:
892:
187:East Asian systems
4939:
4938:
4394:Natural languages
4386:, (725), titled "
4370:systems, such as
4256:
4255:
1781:
1768:
1755:
1742:
1733:
1712:
1703:
1694:
1667:of the first two
1652:casting out nines
1642:other than 1 and
1605:≡ 4 (mod 6), 2 |
1595:≡ 3 (mod 6), 3 |
1585:≡ 2 (mod 6), 2 |
1575:≡ 0 (mod 6), 6 |
1515:
1514:
1183:equivalence class
821:Formal definition
721:
720:
520:
519:
5517:
5458:
5457:
5452:, archived from
5413:
5407:
5406:
5404:
5402:
5355:
5347:
5341:
5340:
5338:
5336:
5330:
5299:
5290:
5279:
5278:
5242:
5236:
5235:
5229:
5221:
5219:
5217:
5206:
5200:
5199:
5197:
5195:
5175:
5169:
5168:
5166:
5165:
5146:
5138:
5096:
5089:
5085:
5083:
5082:
5076:
5073:
5060:
5053:
5049:
5047:
5046:
5040:
5037:
5019:
5017:
5016:
5010:
5007:
4989:
4987:
4986:
4980:
4977:
4935:
4930:
4925:
4920:
4915:
4910:
4905:
4900:
4895:
4890:
4885:
4880:
4875:
4870:
4865:
4860:
4855:
4850:
4717:
4712:
4707:
4702:
4697:
4692:
4687:
4682:
4677:
4672:
4667:
4662:
4657:
4652:
4647:
4642:
4637:
4632:
4506:
4431:Papua New Guinea
4286:
4277:
4252:
4250:
4249:
4246:
4243:
4235:
4229:
4217:
4209:
4203:
4196:
4194:
4193:
4190:
4187:
4177:
4175:
4174:
4171:
4168:
4160:
4154:
4147:
4139:
4131:
4125:
4118:
4116:
4115:
4112:
4109:
4099:
4097:
4096:
4093:
4090:
4082:
4076:
4069:
4068:1020412245351433
4061:
4060:2941176470588235
4053:
4047:
4040:
4038:
4037:
4034:
4031:
4021:
4019:
4018:
4015:
4012:
4004:
3998:
3991:
3983:
3975:
3969:
3962:
3960:
3959:
3956:
3953:
3943:
3941:
3940:
3937:
3934:
3926:
3909:
3902:
3900:
3899:
3896:
3893:
3883:
3881:
3880:
3877:
3874:
3866:
3859:
3851:
3843:
3836:
3834:
3833:
3830:
3827:
3817:
3815:
3814:
3811:
3808:
3800:
3794:
3788:
3781:
3773:
3765:
3759:
3753:
3746:
3744:
3743:
3740:
3737:
3727:
3725:
3724:
3721:
3718:
3710:
3703:
3695:
3687:
3680:
3678:
3677:
3674:
3671:
3661:
3659:
3658:
3655:
3652:
3644:
3638:
3631:
3623:
3615:
3609:
3602:
3600:
3599:
3596:
3593:
3583:
3581:
3580:
3577:
3574:
3566:
3554:
3546:
3539:
3537:
3536:
3533:
3530:
3520:
3518:
3517:
3514:
3511:
3503:
3497:
3490:
3482:
3474:
3468:
3461:
3459:
3458:
3455:
3452:
3442:
3440:
3439:
3436:
3433:
3425:
3418:
3405:
3398:
3396:
3395:
3392:
3389:
3379:
3377:
3376:
3373:
3370:
3362:
3356:
3344:
3336:
3330:
3323:
3321:
3320:
3317:
3314:
3304:
3302:
3301:
3298:
3295:
3287:
3280:
3272:
3264:
3257:
3255:
3254:
3251:
3248:
3238:
3236:
3235:
3232:
3229:
3221:
3215:
3208:
3200:
3192:
3186:
3179:
3177:
3176:
3173:
3170:
3160:
3158:
3157:
3154:
3151:
3143:
3137:
3130:
3122:
3114:
3108:
3101:
3099:
3098:
3095:
3092:
3082:
3080:
3079:
3076:
3073:
3065:
3059:
3052:
3039:
3033:
3026:
3024:
3023:
3020:
3017:
3007:
3005:
3004:
3001:
2998:
2990:
2983:
2975:
2967:
2960:
2958:
2957:
2954:
2951:
2941:
2939:
2938:
2935:
2932:
2924:
2918:
2906:
2898:
2892:
2885:
2883:
2882:
2879:
2876:
2866:
2864:
2863:
2860:
2857:
2849:
2842:
2841:0204122453514331
2834:
2833:0588235294117647
2826:
2819:
2817:
2816:
2813:
2810:
2800:
2798:
2797:
2794:
2791:
2783:
2766:
2759:
2757:
2756:
2753:
2750:
2740:
2738:
2737:
2734:
2731:
2723:
2717:
2710:
2702:
2694:
2688:
2681:
2679:
2678:
2675:
2672:
2662:
2660:
2659:
2656:
2653:
2645:
2639:
2632:
2624:
2616:
2610:
2603:
2601:
2600:
2597:
2594:
2584:
2582:
2581:
2578:
2575:
2567:
2560:
2552:
2544:
2537:
2535:
2534:
2531:
2528:
2518:
2516:
2515:
2512:
2509:
2501:
2495:
2483:
2475:
2469:
2462:
2460:
2459:
2456:
2453:
2443:
2441:
2440:
2437:
2434:
2426:
2419:
2411:
2403:
2396:
2394:
2393:
2390:
2387:
2377:
2375:
2374:
2371:
2368:
2360:
2354:
2347:
2334:
2328:
2321:
2319:
2318:
2315:
2312:
2302:
2300:
2299:
2296:
2293:
2285:
2273:
2265:
2258:
2256:
2255:
2252:
2249:
2239:
2237:
2236:
2233:
2230:
2222:
2205:
2198:
2196:
2195:
2192:
2189:
2179:
2177:
2176:
2173:
2170:
2162:
2155:
2147:
2139:
2132:
2130:
2129:
2126:
2123:
2113:
2111:
2110:
2107:
2104:
2096:
2090:
2078:
2070:
2064:
2057:
2055:
2054:
2051:
2048:
2038:
2036:
2035:
2032:
2029:
2021:
2014:
1997:
1990:
1988:
1987:
1984:
1981:
1971:
1969:
1968:
1965:
1962:
1954:
1937:
1930:
1928:
1927:
1924:
1921:
1911:
1909:
1908:
1905:
1902:
1894:
1882:
1870:
1863:
1861:
1860:
1857:
1854:
1844:
1842:
1841:
1838:
1835:
1827:
1810:
1803:
1801:
1800:
1797:
1794:
1777:
1764:
1754:
1744:
1741:
1735:
1732:
1726:
1720:
1711:
1705:
1702:
1696:
1693:
1687:
1681:
1674:
1630:
1626:
1563:For any integer
1531:
1338:
1323:
1321:
1320:
1315:
1313:
1297:
1295:
1294:
1289:
1287:
1286:
1281:
1280:
1266:
1264:
1263:
1258:
1237:
1232:
1227:
1226:
1203:
1201:
1200:
1195:
1177:equipped with a
1176:
1174:
1173:
1168:
1163:
1157:
1152:
1147:
1146:
1129:
1127:
1126:
1121:
1119:
1118:
1113:
1112:
1095:
1093:
1092:
1087:
1085:
1084:
1079:
1078:
1048:
1046:
1045:
1040:
1025:
1023:
1022:
1017:
1015:
1014:
1009:
1008:
990:
988:
987:
982:
979:
974:
969:
968:
954:
952:
951:
946:
901:
899:
898:
893:
849:
848:
843:
842:
776:
775:
772:
771:
768:
765:
762:
759:
756:
751:
750:
747:
744:
741:
738:
735:
713:
706:
699:
502:
486:
468:
458:balanced ternary
455:
442:
48:
19:
5525:
5524:
5520:
5519:
5518:
5516:
5515:
5514:
5510:Finger-counting
5495:
5494:
5466:
5461:
5415:
5414:
5410:
5400:
5398:
5349:
5348:
5344:
5334:
5332:
5328:
5297:
5292:
5291:
5282:
5244:
5243:
5239:
5222:
5215:
5213:
5208:
5207:
5203:
5193:
5191:
5177:
5176:
5172:
5163:
5161:
5140:
5139:
5135:
5131:
5118:encoding scheme
5106:
5099:
5094:
5092:
5087:
5081:
5077:
5074:
5071:
5070:
5068:
5063:
5058:
5056:
5051:
5045:
5041:
5038:
5035:
5034:
5032:
5027:
5023:
5015:
5011:
5008:
5005:
5004:
5002:
4997:
4993:
4985:
4981:
4978:
4975:
4974:
4972:
4958:Arabic numerals
4948:
4944:
4933:
4928:
4923:
4918:
4913:
4908:
4903:
4898:
4893:
4888:
4883:
4878:
4873:
4868:
4863:
4858:
4853:
4848:
4715:
4710:
4705:
4700:
4695:
4690:
4685:
4680:
4675:
4670:
4665:
4660:
4655:
4650:
4645:
4640:
4635:
4630:
4500:
4493:
4396:
4368:finger counting
4361:uniform numbers
4359:, the players'
4357:NCAA basketball
4332:
4320:
4316:
4312:
4304:
4303:
4302:
4301:
4299:
4295:
4289:
4288:
4287:
4279:
4278:
4267:
4265:Finger counting
4261:
4259:Finger counting
4247:
4244:
4241:
4240:
4238:
4231:
4225:
4215:
4205:
4199:
4191:
4188:
4185:
4184:
4182:
4172:
4169:
4166:
4165:
4163:
4156:
4150:
4145:
4137:
4127:
4121:
4113:
4110:
4107:
4106:
4104:
4094:
4091:
4088:
4087:
4085:
4078:
4072:
4067:
4059:
4049:
4043:
4035:
4032:
4029:
4028:
4026:
4016:
4013:
4010:
4009:
4007:
4000:
3994:
3989:
3981:
3971:
3965:
3957:
3954:
3951:
3950:
3948:
3938:
3935:
3932:
3931:
3929:
3922:
3905:
3897:
3894:
3891:
3890:
3888:
3878:
3875:
3872:
3871:
3869:
3862:
3857:
3850:032258064516129
3849:
3839:
3831:
3828:
3825:
3824:
3822:
3812:
3809:
3806:
3805:
3803:
3796:
3790:
3784:
3779:
3771:
3761:
3755:
3749:
3741:
3738:
3735:
3734:
3732:
3722:
3719:
3716:
3715:
3713:
3706:
3701:
3693:
3683:
3675:
3672:
3669:
3668:
3666:
3656:
3653:
3650:
3649:
3647:
3640:
3634:
3629:
3621:
3611:
3605:
3597:
3594:
3591:
3590:
3588:
3578:
3575:
3572:
3571:
3569:
3562:
3552:
3542:
3534:
3531:
3528:
3527:
3525:
3515:
3512:
3509:
3508:
3506:
3499:
3493:
3488:
3480:
3470:
3464:
3456:
3453:
3450:
3449:
3447:
3437:
3434:
3431:
3430:
3428:
3421:
3416:
3401:
3393:
3390:
3387:
3386:
3384:
3374:
3371:
3368:
3367:
3365:
3358:
3352:
3342:
3332:
3326:
3318:
3315:
3312:
3311:
3309:
3299:
3296:
3293:
3292:
3290:
3283:
3278:
3270:
3260:
3252:
3249:
3246:
3245:
3243:
3233:
3230:
3227:
3226:
3224:
3217:
3211:
3206:
3198:
3188:
3182:
3174:
3171:
3168:
3167:
3165:
3155:
3152:
3149:
3148:
3146:
3139:
3133:
3128:
3120:
3110:
3104:
3096:
3093:
3090:
3089:
3087:
3077:
3074:
3071:
3070:
3068:
3061:
3055:
3050:
3035:
3029:
3021:
3018:
3015:
3014:
3012:
3002:
2999:
2996:
2995:
2993:
2986:
2981:
2973:
2963:
2955:
2952:
2949:
2948:
2946:
2936:
2933:
2930:
2929:
2927:
2920:
2914:
2904:
2894:
2888:
2880:
2877:
2874:
2873:
2871:
2861:
2858:
2855:
2854:
2852:
2845:
2840:
2832:
2822:
2814:
2811:
2808:
2807:
2805:
2795:
2792:
2789:
2788:
2786:
2779:
2762:
2754:
2751:
2748:
2747:
2745:
2735:
2732:
2729:
2728:
2726:
2719:
2713:
2708:
2700:
2690:
2684:
2676:
2673:
2670:
2669:
2667:
2657:
2654:
2651:
2650:
2648:
2641:
2635:
2630:
2622:
2612:
2606:
2598:
2595:
2592:
2591:
2589:
2579:
2576:
2573:
2572:
2570:
2563:
2558:
2550:
2540:
2532:
2529:
2526:
2525:
2523:
2513:
2510:
2507:
2506:
2504:
2497:
2491:
2481:
2471:
2465:
2457:
2454:
2451:
2450:
2448:
2438:
2435:
2432:
2431:
2429:
2422:
2417:
2409:
2399:
2391:
2388:
2385:
2384:
2382:
2372:
2369:
2366:
2365:
2363:
2356:
2350:
2345:
2330:
2324:
2316:
2313:
2310:
2309:
2307:
2297:
2294:
2291:
2290:
2288:
2281:
2271:
2261:
2253:
2250:
2247:
2246:
2244:
2234:
2231:
2228:
2227:
2225:
2218:
2201:
2193:
2190:
2187:
2186:
2184:
2174:
2171:
2168:
2167:
2165:
2158:
2153:
2145:
2135:
2127:
2124:
2121:
2120:
2118:
2108:
2105:
2102:
2101:
2099:
2092:
2086:
2076:
2066:
2060:
2052:
2049:
2046:
2045:
2043:
2033:
2030:
2027:
2026:
2024:
2017:
2012:
1993:
1985:
1982:
1979:
1978:
1976:
1966:
1963:
1960:
1959:
1957:
1950:
1933:
1925:
1922:
1919:
1918:
1916:
1906:
1903:
1900:
1899:
1897:
1890:
1880:
1866:
1858:
1855:
1852:
1851:
1849:
1839:
1836:
1833:
1832:
1830:
1823:
1806:
1798:
1795:
1792:
1791:
1789:
1779:
1766:
1756:
1751:
1746:
1743:
1737:
1734:
1728:
1722:
1719:
1713:
1707:
1704:
1698:
1695:
1689:
1683:
1680:
1661:
1628:
1624:
1621:perfect numbers
1527:
1330:
1304:
1303:
1274:
1269:
1268:
1206:
1205:
1186:
1185:
1135:
1134:
1106:
1101:
1100:
1098:natural numbers
1072:
1055:
1054:
1028:
1027:
1002:
997:
996:
957:
956:
907:
906:
836:
831:
830:
823:
781:(also known as
753:
732:
728:
717:
681:
680:
603:
589:Proto-cuneiform
534:
533:
522:
521:
516:
515:
500:
484:
466:
453:
440:
427:
356:
355:
343:
342:
323:
283:
268:
259:
258:
249:
248:
230:
189:
188:
179:
178:
130:
72:
58:
57:
45:
44:
32:Numeral systems
17:
12:
11:
5:
5523:
5521:
5513:
5512:
5507:
5497:
5496:
5493:
5492:
5487:
5482:
5477:
5472:
5465:
5464:External links
5462:
5460:
5459:
5408:
5342:
5280:
5267:10.1086/430579
5259:10.1086/430579
5237:
5201:
5184:Boston College
5170:
5132:
5130:
5127:
5126:
5125:
5119:
5113:
5105:
5102:
5101:
5100:
5097:
5090:
5079:
5065:
5064:
5061:
5054:
5043:
5029:
5028:
5025:
5021:
5013:
4999:
4998:
4995:
4991:
4983:
4946:
4942:
4937:
4936:
4931:
4926:
4921:
4916:
4911:
4906:
4901:
4896:
4891:
4886:
4881:
4876:
4871:
4866:
4861:
4856:
4851:
4846:
4842:
4841:
4838:
4835:
4832:
4829:
4826:
4823:
4820:
4817:
4814:
4811:
4808:
4805:
4802:
4799:
4796:
4793:
4790:
4787:
4783:
4782:
4779:
4776:
4773:
4770:
4767:
4764:
4761:
4758:
4755:
4752:
4749:
4746:
4743:
4740:
4737:
4734:
4731:
4728:
4724:
4723:
4719:
4718:
4713:
4708:
4703:
4698:
4693:
4688:
4683:
4678:
4673:
4668:
4663:
4658:
4653:
4648:
4643:
4638:
4633:
4628:
4624:
4623:
4620:
4617:
4614:
4611:
4608:
4605:
4602:
4599:
4596:
4593:
4590:
4587:
4584:
4581:
4578:
4575:
4572:
4569:
4565:
4564:
4561:
4558:
4555:
4552:
4549:
4546:
4543:
4540:
4537:
4534:
4531:
4528:
4525:
4522:
4519:
4516:
4513:
4510:
4492:
4489:
4422:means 36, and
4395:
4392:
4366:More abstract
4330:
4318:
4314:
4310:
4297:
4293:
4291:
4290:
4281:
4280:
4272:
4271:
4270:
4269:
4268:
4263:Main article:
4260:
4257:
4254:
4253:
4236:
4223:
4218:
4210:
4197:
4179:
4178:
4161:
4148:
4140:
4132:
4119:
4101:
4100:
4083:
4070:
4062:
4054:
4041:
4023:
4022:
4005:
3992:
3984:
3976:
3963:
3945:
3944:
3927:
3920:
3915:
3910:
3903:
3885:
3884:
3867:
3860:
3852:
3844:
3837:
3819:
3818:
3801:
3782:
3774:
3766:
3747:
3729:
3728:
3711:
3704:
3702:01124045443151
3696:
3688:
3681:
3663:
3662:
3645:
3632:
3624:
3616:
3603:
3585:
3584:
3567:
3560:
3555:
3547:
3540:
3522:
3521:
3504:
3491:
3483:
3475:
3462:
3444:
3443:
3426:
3419:
3411:
3406:
3399:
3381:
3380:
3363:
3350:
3345:
3337:
3324:
3306:
3305:
3288:
3281:
3273:
3265:
3258:
3240:
3239:
3222:
3209:
3201:
3193:
3180:
3162:
3161:
3144:
3131:
3123:
3115:
3102:
3084:
3083:
3066:
3053:
3045:
3040:
3027:
3009:
3008:
2991:
2984:
2976:
2968:
2961:
2943:
2942:
2925:
2912:
2907:
2899:
2886:
2868:
2867:
2850:
2843:
2835:
2827:
2820:
2802:
2801:
2784:
2777:
2772:
2767:
2760:
2742:
2741:
2724:
2711:
2703:
2695:
2682:
2664:
2663:
2646:
2633:
2625:
2617:
2604:
2586:
2585:
2568:
2561:
2553:
2545:
2538:
2520:
2519:
2502:
2489:
2484:
2476:
2463:
2445:
2444:
2427:
2420:
2412:
2404:
2397:
2379:
2378:
2361:
2348:
2340:
2335:
2322:
2304:
2303:
2286:
2279:
2274:
2266:
2259:
2241:
2240:
2223:
2216:
2211:
2206:
2199:
2181:
2180:
2163:
2156:
2148:
2140:
2133:
2115:
2114:
2097:
2084:
2079:
2071:
2058:
2040:
2039:
2022:
2015:
2003:
1998:
1991:
1973:
1972:
1955:
1948:
1943:
1938:
1931:
1913:
1912:
1895:
1888:
1883:
1871:
1864:
1846:
1845:
1828:
1821:
1816:
1811:
1804:
1786:
1785:
1782:
1775:
1772:
1769:
1762:
1758:
1757:
1749:
1714:
1660:
1657:
1610:
1609:
1599:
1589:
1579:
1538:
1537:
1513:
1512:
1510:
1507:
1504:
1501:
1498:
1495:
1492:
1488:
1487:
1485:
1482:
1479:
1476:
1473:
1470:
1467:
1463:
1462:
1460:
1457:
1454:
1451:
1448:
1445:
1442:
1438:
1437:
1435:
1432:
1429:
1426:
1423:
1420:
1417:
1413:
1412:
1410:
1407:
1404:
1401:
1398:
1395:
1392:
1388:
1387:
1385:
1382:
1379:
1376:
1373:
1370:
1367:
1363:
1362:
1360:
1357:
1354:
1351:
1348:
1345:
1342:
1329:
1326:
1312:
1285:
1279:
1256:
1253:
1250:
1247:
1244:
1241:
1236:
1231:
1225:
1219:
1216:
1213:
1193:
1179:shortlex order
1166:
1162:
1156:
1151:
1145:
1117:
1111:
1083:
1077:
1071:
1068:
1065:
1062:
1038:
1035:
1013:
1007:
993:Kleene closure
978:
973:
967:
944:
941:
938:
935:
932:
929:
926:
923:
920:
917:
914:
891:
888:
885:
882:
879:
876:
873:
870:
867:
864:
861:
858:
855:
852:
847:
841:
822:
819:
779:numeral system
719:
718:
716:
715:
708:
701:
693:
690:
689:
683:
682:
679:
678:
673:
668:
663:
658:
653:
648:
643:
642:
641:
636:
631:
621:
616:
610:
609:
602:
601:
596:
591:
586:
581:
576:
571:
566:
561:
556:
551:
546:
540:
539:
538:Non-alphabetic
535:
529:
528:
527:
524:
523:
518:
517:
514:
513:
508:
495:
479:
474:
461:
448:
434:
433:
426:
425:
418:
413:
408:
403:
398:
393:
388:
383:
378:
373:
368:
362:
361:
357:
350:
349:
348:
345:
344:
341:
340:
334:
328:
327:
322:
321:
316:
311:
306:
301:
296:
290:
289:
287:Post-classical
282:
281:
275:
274:
267:
266:
260:
256:
255:
254:
251:
250:
247:
246:
241:
235:
234:
229:
228:
223:
218:
213:
208:
207:
206:
195:
194:
190:
186:
185:
184:
181:
180:
177:
176:
171:
166:
161:
156:
151:
146:
141:
136:
129:
128:
123:
118:
113:
108:
103:
98:
93:
88:
83:
78:
71:
70:
68:Eastern Arabic
65:
63:Western Arabic
59:
53:
52:
51:
46:
40:
39:
38:
35:
34:
28:
27:
15:
13:
10:
9:
6:
4:
3:
2:
5522:
5511:
5508:
5506:
5503:
5502:
5500:
5491:
5488:
5486:
5483:
5481:
5478:
5476:
5473:
5471:
5468:
5467:
5463:
5456:on 2015-09-26
5455:
5451:
5447:
5443:
5439:
5435:
5431:
5427:
5423:
5419:
5412:
5409:
5397:
5393:
5389:
5385:
5381:
5377:
5373:
5369:
5365:
5361:
5360:
5354:
5346:
5343:
5327:
5323:
5319:
5315:
5311:
5307:
5303:
5296:
5289:
5287:
5285:
5281:
5276:
5272:
5268:
5264:
5260:
5256:
5253:(1): 87–101.
5252:
5248:
5241:
5238:
5233:
5227:
5211:
5210:"Dactylonomy"
5205:
5202:
5189:
5185:
5181:
5174:
5171:
5160:
5156:
5152:
5151:
5145:
5137:
5134:
5128:
5123:
5122:ADFGVX cipher
5120:
5117:
5114:
5111:
5108:
5107:
5103:
5067:
5066:
5031:
5030:
5001:
5000:
4971:
4970:
4969:
4967:
4963:
4962:Latin letters
4959:
4955:
4950:
4932:
4927:
4922:
4917:
4912:
4907:
4902:
4897:
4892:
4887:
4882:
4877:
4872:
4867:
4862:
4857:
4852:
4847:
4844:
4839:
4836:
4833:
4830:
4827:
4824:
4821:
4818:
4815:
4812:
4809:
4806:
4803:
4800:
4797:
4794:
4791:
4788:
4785:
4780:
4777:
4774:
4771:
4768:
4765:
4762:
4759:
4756:
4753:
4750:
4747:
4744:
4741:
4738:
4735:
4732:
4729:
4726:
4720:
4714:
4709:
4704:
4699:
4694:
4689:
4684:
4679:
4674:
4669:
4664:
4659:
4654:
4649:
4644:
4639:
4634:
4629:
4626:
4621:
4618:
4615:
4612:
4609:
4606:
4603:
4600:
4597:
4594:
4591:
4588:
4585:
4582:
4579:
4576:
4573:
4570:
4567:
4562:
4559:
4556:
4553:
4550:
4547:
4544:
4541:
4538:
4535:
4532:
4529:
4526:
4523:
4520:
4517:
4514:
4511:
4508:
4504:
4498:
4490:
4488:
4485:
4481:
4479:
4475:
4471:
4466:
4464:
4460:
4456:
4452:
4448:
4444:
4440:
4436:
4435:Yam languages
4432:
4427:
4425:
4421:
4417:
4413:
4409:
4405:
4404:Ndom language
4400:
4393:
4391:
4389:
4385:
4381:
4377:
4376:finger binary
4373:
4369:
4364:
4362:
4358:
4353:
4351:
4345:
4343:
4339:
4334:
4329:, which is 22
4328:
4324:
4307:
4285:
4276:
4266:
4258:
4234:
4228:
4222:
4219:
4214:
4208:
4202:
4180:
4159:
4153:
4144:
4136:
4130:
4124:
4102:
4081:
4075:
4066:
4058:
4052:
4046:
4024:
4003:
3997:
3988:
3980:
3974:
3968:
3946:
3925:
3919:
3916:
3914:
3911:
3908:
3886:
3865:
3856:
3848:
3842:
3820:
3799:
3793:
3787:
3778:
3770:
3764:
3758:
3752:
3730:
3709:
3700:
3692:
3686:
3664:
3643:
3637:
3628:
3620:
3614:
3608:
3586:
3565:
3559:
3556:
3551:
3545:
3523:
3502:
3496:
3487:
3479:
3473:
3467:
3445:
3424:
3415:
3410:
3407:
3404:
3382:
3361:
3355:
3349:
3346:
3341:
3335:
3329:
3307:
3286:
3277:
3269:
3263:
3241:
3220:
3214:
3205:
3197:
3191:
3185:
3163:
3142:
3136:
3127:
3119:
3113:
3107:
3085:
3064:
3058:
3049:
3044:
3041:
3038:
3032:
3010:
2989:
2980:
2972:
2966:
2944:
2923:
2917:
2911:
2908:
2903:
2897:
2891:
2869:
2848:
2839:
2831:
2825:
2803:
2782:
2776:
2773:
2771:
2768:
2765:
2743:
2722:
2716:
2707:
2699:
2693:
2687:
2665:
2644:
2638:
2629:
2621:
2615:
2609:
2587:
2566:
2557:
2549:
2543:
2521:
2500:
2494:
2488:
2485:
2480:
2474:
2468:
2446:
2425:
2416:
2408:
2402:
2380:
2359:
2353:
2344:
2339:
2336:
2333:
2327:
2305:
2284:
2278:
2275:
2270:
2264:
2242:
2221:
2215:
2212:
2210:
2207:
2204:
2182:
2161:
2152:
2144:
2138:
2116:
2095:
2089:
2083:
2080:
2075:
2069:
2063:
2041:
2020:
2011:
2007:
2002:
1999:
1996:
1974:
1953:
1947:
1944:
1942:
1939:
1936:
1914:
1893:
1887:
1884:
1879:
1875:
1869:
1847:
1826:
1820:
1817:
1815:
1812:
1809:
1787:
1778:Prime factors
1765:Prime factors
1759:
1753:
1740:
1731:
1725:
1718:
1710:
1701:
1692:
1686:
1679:
1675:
1672:
1670:
1669:prime numbers
1666:
1658:
1656:
1653:
1647:
1645:
1641:
1637:
1632:
1622:
1617:
1615:
1608:
1604:
1600:
1598:
1594:
1590:
1588:
1584:
1580:
1578:
1574:
1570:
1569:
1568:
1566:
1561:
1559:
1555:
1551:
1547:
1543:
1535:
1530:
1524:
1523:
1522:
1520:
1519:prime numbers
1511:
1508:
1505:
1502:
1499:
1496:
1493:
1490:
1489:
1486:
1483:
1480:
1477:
1474:
1471:
1468:
1465:
1464:
1461:
1458:
1455:
1452:
1449:
1446:
1443:
1440:
1439:
1436:
1433:
1430:
1427:
1424:
1421:
1418:
1415:
1414:
1411:
1408:
1405:
1402:
1399:
1396:
1393:
1390:
1389:
1386:
1383:
1380:
1377:
1374:
1371:
1368:
1365:
1364:
1361:
1358:
1355:
1352:
1349:
1346:
1343:
1340:
1339:
1336:
1327:
1325:
1301:
1283:
1251:
1248:
1245:
1242:
1239:
1234:
1229:
1217:
1214:
1191:
1184:
1180:
1164:
1160:
1154:
1149:
1133:
1115:
1099:
1081:
1069:
1066:
1063:
1060:
1052:
1036:
1033:
1011:
994:
976:
971:
942:
939:
936:
933:
930:
927:
924:
921:
918:
915:
912:
905:
886:
883:
880:
877:
874:
871:
868:
865:
862:
859:
856:
850:
845:
828:
825:The standard
820:
818:
816:
812:
808:
804:
800:
796:
792:
788:
784:
780:
774:
726:
714:
709:
707:
702:
700:
695:
694:
692:
691:
688:
685:
684:
677:
674:
672:
669:
667:
664:
662:
659:
657:
654:
652:
649:
647:
644:
640:
637:
635:
632:
630:
627:
626:
625:
624:Alphasyllabic
622:
620:
617:
615:
612:
611:
608:
605:
604:
600:
597:
595:
592:
590:
587:
585:
582:
580:
577:
575:
572:
570:
567:
565:
562:
560:
557:
555:
552:
550:
547:
545:
542:
541:
537:
536:
532:
526:
525:
512:
509:
506:
499:
496:
493:
492:
483:
480:
478:
475:
472:
465:
462:
459:
452:
449:
446:
439:
436:
435:
432:
429:
428:
423:
419:
417:
414:
412:
409:
407:
404:
402:
399:
397:
394:
392:
389:
387:
384:
382:
379:
377:
374:
372:
369:
367:
364:
363:
359:
358:
354:
347:
346:
338:
335:
333:
330:
329:
325:
324:
320:
317:
315:
312:
310:
307:
305:
302:
300:
297:
295:
292:
291:
288:
285:
284:
280:
277:
276:
273:
270:
269:
265:
262:
261:
257:Other systems
253:
252:
245:
242:
240:
239:Counting rods
237:
236:
232:
231:
227:
224:
222:
219:
217:
214:
212:
209:
205:
202:
201:
200:
197:
196:
192:
191:
183:
182:
175:
172:
170:
167:
165:
162:
160:
157:
155:
152:
150:
147:
145:
142:
140:
137:
135:
132:
131:
127:
124:
122:
119:
117:
114:
112:
109:
107:
104:
102:
99:
97:
94:
92:
89:
87:
84:
82:
79:
77:
74:
73:
69:
66:
64:
61:
60:
56:
50:
49:
43:
37:
36:
33:
29:
25:
21:
20:
5454:the original
5428:(1): 47–71,
5425:
5421:
5411:
5399:. Retrieved
5366:(1): 47–71.
5363:
5357:
5345:
5333:. Retrieved
5305:
5301:
5250:
5246:
5240:
5214:. Retrieved
5204:
5192:. Retrieved
5183:
5173:
5162:. Retrieved
5148:
5136:
4960:0–9 and the
4951:
4940:
4501:
4484:Proto-Uralic
4482:
4467:
4462:
4458:
4454:
4450:
4446:
4442:
4428:
4423:
4419:
4415:
4411:
4401:
4397:
4387:
4383:
4365:
4354:
4346:
4335:
4326:
4322:
4308:
4305:
4232:
4226:
4220:
4212:
4206:
4200:
4157:
4151:
4142:
4134:
4128:
4122:
4079:
4073:
4064:
4056:
4050:
4044:
4001:
3995:
3986:
3978:
3972:
3966:
3923:
3917:
3912:
3906:
3863:
3854:
3846:
3840:
3797:
3791:
3785:
3776:
3768:
3762:
3756:
3750:
3707:
3698:
3690:
3684:
3641:
3635:
3626:
3618:
3612:
3606:
3563:
3557:
3549:
3543:
3500:
3494:
3489:121502434053
3485:
3477:
3471:
3465:
3422:
3413:
3408:
3402:
3359:
3353:
3347:
3339:
3333:
3327:
3284:
3275:
3267:
3261:
3218:
3212:
3203:
3195:
3189:
3183:
3140:
3134:
3125:
3117:
3111:
3105:
3062:
3056:
3047:
3042:
3036:
3030:
2987:
2978:
2970:
2964:
2921:
2915:
2909:
2901:
2895:
2889:
2846:
2837:
2829:
2823:
2780:
2774:
2769:
2763:
2720:
2714:
2705:
2697:
2691:
2685:
2642:
2636:
2627:
2619:
2613:
2607:
2564:
2559:024340531215
2555:
2547:
2541:
2498:
2492:
2486:
2478:
2472:
2466:
2423:
2414:
2406:
2400:
2357:
2351:
2342:
2337:
2331:
2325:
2282:
2276:
2268:
2262:
2219:
2213:
2208:
2202:
2159:
2150:
2142:
2136:
2093:
2087:
2081:
2073:
2067:
2061:
2018:
2009:
2005:
2000:
1994:
1951:
1945:
1940:
1934:
1891:
1885:
1877:
1873:
1867:
1824:
1818:
1813:
1807:
1747:
1738:
1729:
1723:
1716:
1708:
1699:
1690:
1684:
1678:Decimal base
1677:
1662:
1648:
1643:
1638:that has no
1635:
1633:
1618:
1611:
1606:
1602:
1596:
1592:
1586:
1582:
1576:
1572:
1564:
1562:
1557:
1553:
1549:
1541:
1539:
1516:
1181:, where the
1132:quotient set
904:linear order
824:
790:
786:
782:
724:
722:
490:
451:Signed-digit
385:
326:Contemporary
193:Contemporary
4416:mer an thef
4325:× 6 +
3279:01322030441
1717:Senary base
902:, with the
629:Akṣarapallī
599:Tally marks
498:Non-integer
5499:Categories
5490:Calculator
5401:August 31,
5335:August 31,
5164:2022-08-31
5129:References
3990:1031345242
3207:1345242103
2418:0313452421
2008:1111... =
1876:3333... =
1631:is prime.
1300:isomorphic
815:duodecimal
666:Glagolitic
639:Kaṭapayādi
607:Alphabetic
511:Asymmetric
353:radix/base
294:Cistercian
279:Babylonian
226:Vietnamese
81:Devanagari
5450:161535519
5396:161535519
5388:1033-2170
5275:144384806
5159:0362-4331
4478:vigesimal
4414:means 6,
4372:chisanbop
2982:015211325
1784:Fraction
1761:Fraction
1659:Fractions
1655:decimal.
1640:totatives
1246:∼
1235:∗
1218:∈
1192:∼
1165:∼
1155:∗
1082:∗
1070:∈
977:∗
807:semiprime
634:Āryabhaṭa
579:Kharosthi
471:factorial
438:Bijective
339:(Iñupiaq)
169:Sundanese
164:Mongolian
111:Malayalam
5326:Archived
5322:55100862
5226:cite web
5188:Archived
5110:Diceware
5104:See also
5020:= 0.0213
4845:Base 36
4727:Decimal
4627:Base 36
4509:Decimal
4459:wärämäkä
4433:are the
4424:nif thef
1627:, where
1625:2(2 – 1)
1026:, where
661:Georgian
651:Cyrillic
619:Armenian
574:Etruscan
569:Egyptian
477:Negative
337:Kaktovik
332:Cherokee
309:Pentadic
233:Historic
216:Japanese
149:Javanese
139:Balinese
126:Dzongkha
91:Gurmukhi
86:Gujarati
24:a series
22:Part of
5430:Bibcode
5368:Bibcode
5216:May 12,
5194:May 12,
5084:
5069:
5048:
5033:
5018:
5003:
4988:
4973:
4786:Base 6
4722:
4568:Base 6
4474:decimal
4331:decimal
4315:decimal
4298:decimal
4251:
4239:
4195:
4183:
4176:
4164:
4117:
4105:
4098:
4086:
4039:
4027:
4020:
4008:
3961:
3949:
3942:
3930:
3918:0.01043
3913:0.03125
3901:
3889:
3882:
3870:
3835:
3823:
3816:
3804:
3745:
3733:
3726:
3714:
3679:
3667:
3660:
3648:
3601:
3589:
3582:
3570:
3538:
3526:
3519:
3507:
3460:
3448:
3441:
3429:
3397:
3385:
3378:
3366:
3322:
3310:
3303:
3291:
3256:
3244:
3237:
3225:
3178:
3166:
3159:
3147:
3100:
3088:
3081:
3069:
3025:
3013:
3006:
2994:
2959:
2947:
2940:
2928:
2884:
2872:
2865:
2853:
2818:
2806:
2799:
2787:
2758:
2746:
2739:
2727:
2680:
2668:
2661:
2649:
2602:
2590:
2583:
2571:
2536:
2524:
2517:
2505:
2461:
2449:
2442:
2430:
2395:
2383:
2376:
2364:
2320:
2308:
2301:
2289:
2257:
2245:
2238:
2226:
2197:
2185:
2178:
2166:
2131:
2119:
2112:
2100:
2056:
2044:
2037:
2025:
1989:
1977:
1970:
1958:
1929:
1917:
1910:
1898:
1862:
1850:
1843:
1831:
1802:
1790:
1665:product
1532:in the
1529:A004680
1333:Senary
1130:is the
991:be the
803:decimal
797:as its
791:seximal
787:heximal
564:Chuvash
482:Complex
272:Ancient
264:History
211:Hokkien
199:Chinese
144:Burmese
134:Tibetan
121:Kannada
101:Sinhala
76:Bengali
5448:
5394:
5386:
5320:
5273:
5265:
5157:
5116:Base36
5024:= 0.29
4990:= 0.04
4966:base36
4497:Base36
4465:(6 ).
4461:(6 ),
4457:(6 ),
4453:(6 ),
4451:taruba
4449:(6 ),
4439:Komnzo
4319:senary
4311:senary
4294:senary
4138:285714
3858:010545
3622:571428
3481:384615
3121:047619
2775:0.0213
2770:0.0625
2623:714285
2551:076923
2146:142857
1748:7 (=11
955:. Let
793:) has
783:base-6
725:senary
676:Hebrew
646:Coptic
559:Brahmi
544:Aegean
501:
485:
467:
454:
441:
304:Muisca
244:Tangut
221:Korean
204:Suzhou
116:Telugu
5446:S2CID
5392:S2CID
5329:(PDF)
5318:S2CID
5308:(2).
5298:(PDF)
5271:S2CID
5263:JSTOR
4994:= 0.4
4954:radix
4468:Some
4455:damno
4445:(6),
4350:unary
3558:0.012
3417:01235
3348:0.013
3340:0.041
2214:0.043
2209:0.125
1629:2 − 1
1267:. As
789:, or
671:Greek
656:Geʽez
614:Abjad
594:Roman
554:Aztec
549:Attic
464:Mixed
422:table
314:Quipu
299:Mayan
154:Khmer
106:Tamil
5403:2022
5384:ISSN
5337:2022
5232:link
5218:2012
5196:2012
5155:ISSN
5093:= 0.
5086:= 0.
5057:= 0.
5050:= 0.
4443:nibo
4402:The
4380:Bede
4296:= 22
4221:0.01
4213:0.02
3627:0.01
3619:0.03
3409:0.04
3048:0.01
3043:0.05
2910:0.02
2487:0.03
2479:0.08
2277:0.04
1946:0.13
1941:0.25
1534:OEIS
1053:for
940:<
934:<
928:<
922:<
916:<
799:base
319:Rumi
174:Thai
96:Odia
5438:doi
5376:doi
5310:doi
5255:doi
4840:55
4781:35
4622:25
4563:17
4476:or
4447:fta
4420:nif
4412:Mer
4406:of
4374:or
4355:In
4313:(35
4248:100
4135:0.0
4065:0.0
4057:0.0
3987:0.0
3777:0.0
3769:0.0
3553:037
3486:0.0
3478:0.0
3204:0.0
3196:0.0
3126:0.0
2902:0.0
2706:0.0
2698:0.0
2628:0.0
2620:0.0
2343:0.0
2338:0.1
2082:0.1
2074:0.1
2001:0.2
1886:0.2
1819:0.3
1814:0.5
1601:If
1591:If
1581:If
1571:If
1509:100
1491:10
1204:is
995:of
827:set
795:six
351:By
159:Lao
5501::
5444:,
5436:,
5426:13
5424:,
5420:,
5390:.
5382:.
5374:.
5364:13
5362:.
5356:.
5324:.
5316:.
5306:13
5304:.
5300:.
5283:^
5269:.
5261:.
5251:71
5249:.
5228:}}
5224:{{
5186:.
5182:.
5153:.
5147:.
5098:36
5088:05
5080:10
5062:36
5044:10
5026:36
5014:10
5012:16
4996:36
4984:10
4943:36
4837:54
4834:53
4831:52
4828:51
4825:50
4822:45
4819:44
4816:43
4813:42
4810:41
4807:40
4804:35
4801:34
4798:33
4795:32
4792:31
4789:30
4778:34
4775:33
4772:32
4769:31
4766:30
4763:29
4760:28
4757:27
4754:26
4751:25
4748:24
4745:23
4742:22
4739:21
4736:20
4733:19
4730:18
4619:24
4616:23
4613:22
4610:21
4607:20
4604:15
4601:14
4598:13
4595:12
4592:11
4589:10
4560:16
4557:15
4554:14
4551:13
4548:12
4545:11
4542:10
4480:.
4463:wi
4333:.
4292:34
4230:,
4204:,
4192:36
4173:55
4158:11
4155:,
4146:01
4143:0.
4126:,
4114:35
4095:54
4080:25
4077:,
4051:17
4048:,
4036:34
4017:53
4002:15
3999:,
3982:03
3979:0.
3973:11
3970:,
3958:33
3939:52
3898:32
3879:51
3864:51
3855:0.
3847:0.
3841:31
3832:31
3813:50
3795:,
3789:,
3760:,
3754:,
3742:30
3723:45
3708:45
3699:0.
3691:0.
3685:29
3676:29
3657:44
3642:11
3639:,
3630:14
3610:,
3598:28
3579:43
3550:0.
3535:27
3516:42
3501:21
3498:,
3472:13
3469:,
3457:26
3438:41
3414:0.
3394:25
3375:40
3357:,
3331:,
3319:24
3300:35
3285:35
3276:0.
3268:0.
3262:23
3253:23
3234:34
3219:15
3216:,
3199:45
3190:11
3187:,
3175:22
3156:33
3141:11
3138:,
3129:14
3118:0.
3109:,
3097:21
3078:32
3060:,
3034:,
3022:20
3003:31
2988:31
2979:0.
2971:0.
2965:19
2956:19
2937:30
2919:,
2893:,
2881:18
2862:25
2847:25
2838:0.
2830:0.
2824:17
2815:17
2796:24
2755:16
2736:23
2718:,
2689:,
2677:15
2658:22
2643:11
2640:,
2631:23
2611:,
2599:14
2580:21
2565:21
2556:0.
2548:0.
2542:13
2533:13
2514:20
2496:,
2470:,
2458:12
2439:15
2424:15
2415:0.
2410:09
2407:0.
2401:11
2392:11
2373:14
2355:,
2329:,
2317:10
2298:13
2269:0.
2235:12
2175:11
2160:11
2154:05
2151:0.
2143:0.
2109:10
2091:,
2065:,
2010:0.
2006:0.
1878:0.
1874:0.
1727:,
1709:11
1688:,
1567::
1506:50
1503:40
1500:30
1497:20
1494:10
1484:50
1481:41
1478:32
1475:23
1472:14
1466:5
1459:40
1456:32
1453:24
1450:20
1447:12
1441:4
1434:30
1431:23
1428:20
1425:13
1422:10
1416:3
1409:20
1406:14
1403:12
1400:10
1391:2
1384:10
1366:1
1359:10
1324:.
785:,
777:)
767:ər
746:ər
740:iː
723:A
416:60
411:20
406:16
401:12
396:10
26:on
5440::
5432::
5378::
5370::
5339:.
5312::
5277:.
5257::
5234:)
5220:.
5198:.
5167:.
5095:5
5091:6
5078:7
5075:/
5072:1
5059:7
5055:6
5052:1
5042:5
5039:/
5036:1
5022:6
5009:/
5006:1
4992:6
4982:9
4979:/
4976:1
4947:6
4934:Z
4929:Y
4924:X
4919:W
4914:V
4909:U
4904:T
4899:S
4894:R
4889:Q
4884:P
4879:O
4874:N
4869:M
4864:L
4859:K
4854:J
4849:I
4716:H
4711:G
4706:F
4701:E
4696:D
4691:C
4686:B
4681:A
4676:9
4671:8
4666:7
4661:6
4656:5
4651:4
4646:3
4641:2
4636:1
4631:0
4586:5
4583:4
4580:3
4577:2
4574:1
4571:0
4539:9
4536:8
4533:7
4530:6
4527:5
4524:4
4521:3
4518:2
4515:1
4512:0
4499:.
4327:4
4323:3
4245:/
4242:1
4233:3
4227:2
4216:7
4207:3
4201:2
4189:/
4186:1
4170:/
4167:1
4152:5
4129:7
4123:5
4111:/
4108:1
4092:/
4089:1
4074:2
4045:2
4033:/
4030:1
4014:/
4011:1
3996:3
3967:3
3955:/
3952:1
3936:/
3933:1
3924:2
3907:2
3895:/
3892:1
3876:/
3873:1
3829:/
3826:1
3810:/
3807:1
3798:5
3792:3
3786:2
3780:1
3772:3
3763:5
3757:3
3751:2
3739:/
3736:1
3720:/
3717:1
3673:/
3670:1
3654:/
3651:1
3636:2
3613:7
3607:2
3595:/
3592:1
3576:/
3573:1
3564:3
3544:3
3532:/
3529:1
3513:/
3510:1
3495:2
3466:2
3454:/
3451:1
3435:/
3432:1
3423:5
3403:5
3391:/
3388:1
3372:/
3369:1
3360:3
3354:2
3343:6
3334:3
3328:2
3316:/
3313:1
3297:/
3294:1
3250:/
3247:1
3231:/
3228:1
3213:2
3184:2
3172:/
3169:1
3153:/
3150:1
3135:3
3112:7
3106:3
3094:/
3091:1
3075:/
3072:1
3063:5
3057:2
3051:4
3037:5
3031:2
3019:/
3016:1
3000:/
2997:1
2953:/
2950:1
2934:/
2931:1
2922:3
2916:2
2905:5
2896:3
2890:2
2878:/
2875:1
2859:/
2856:1
2812:/
2809:1
2793:/
2790:1
2781:2
2764:2
2752:/
2749:1
2733:/
2730:1
2721:5
2715:3
2709:2
2701:6
2692:5
2686:3
2674:/
2671:1
2655:/
2652:1
2637:2
2614:7
2608:2
2596:/
2593:1
2577:/
2574:1
2530:/
2527:1
2511:/
2508:1
2499:3
2493:2
2482:3
2473:3
2467:2
2455:/
2452:1
2436:/
2433:1
2389:/
2386:1
2370:/
2367:1
2358:5
2352:2
2346:3
2332:5
2326:2
2314:/
2311:1
2295:/
2292:1
2283:3
2272:1
2263:3
2254:9
2251:/
2248:1
2232:/
2229:1
2220:2
2203:2
2194:8
2191:/
2188:1
2172:/
2169:1
2137:7
2128:7
2125:/
2122:1
2106:/
2103:1
2094:3
2088:2
2077:6
2068:3
2062:2
2053:6
2050:/
2047:1
2034:5
2031:/
2028:1
2019:5
2013:1
1995:5
1986:5
1983:/
1980:1
1967:4
1964:/
1961:1
1952:2
1935:2
1926:4
1923:/
1920:1
1907:3
1904:/
1901:1
1892:3
1881:3
1868:3
1859:3
1856:/
1853:1
1840:2
1837:/
1834:1
1825:2
1808:2
1799:2
1796:/
1793:1
1752:)
1750:6
1739:5
1730:3
1724:2
1700:3
1691:5
1685:2
1644:r
1636:r
1607:n
1603:n
1597:n
1593:n
1587:n
1583:n
1577:n
1573:n
1565:n
1558:p
1554:p
1550:p
1542:p
1536:)
1469:5
1444:4
1419:3
1397:4
1394:2
1381:5
1378:4
1375:3
1372:2
1369:1
1356:5
1353:4
1350:3
1347:2
1344:1
1341:×
1311:N
1284:6
1278:N
1255:}
1252:n
1249:0
1243:n
1240:,
1230:6
1224:D
1215:n
1212:{
1161:/
1150:6
1144:D
1116:6
1110:N
1076:D
1067:b
1064:,
1061:a
1037:b
1034:a
1012:6
1006:D
972:6
966:D
943:5
937:4
931:3
925:2
919:1
913:0
890:}
887:5
884:,
881:4
878:,
875:3
872:,
869:2
866:,
863:1
860:,
857:0
854:{
851:=
846:6
840:D
773:/
770:i
764:n
761:ɛ
758:s
755:ˈ
752:,
749:i
743:n
737:s
734:ˈ
731:/
727:(
712:e
705:t
698:v
507:)
505:φ
503:(
494:)
491:i
489:2
487:(
473:)
469:(
460:)
456:(
447:)
445:1
443:(
424:)
420:(
391:8
386:6
381:5
376:4
371:3
366:2
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