1 00:00:04,420 --> 00:00:07,221 Kujuta ette, et me elame eelajaloolisel ajal. 2 00:00:07,221 --> 00:00:09,468 Nüüd, arvesta järgnevat: 3 00:00:09,468 --> 00:00:12,721 Kuidas me aega arvestasime ilma kellata? 4 00:00:12,721 --> 00:00:15,315 Kõik kellad põhinevad mingil korduval mustril, 5 00:00:15,315 --> 00:00:18,890 mis jagab aja voolu võrdseteks segmentideks. 6 00:00:18,890 --> 00:00:20,688 Et leida neid korduvaid mustreid, 7 00:00:20,688 --> 00:00:22,918 vaatame me taevasse. 8 00:00:22,918 --> 00:00:24,902 Päikese tõus ja loojang iga päev 9 00:00:24,902 --> 00:00:26,184 on kõige ilmsem[muster]. 10 00:00:26,184 --> 00:00:28,760 Kuid, et jälgida pikemaid aja perioode, 11 00:00:28,760 --> 00:00:30,811 otsisime pikemaid tsükleid. 12 00:00:30,811 --> 00:00:32,512 Selleks, vaatasime kuud, 13 00:00:32,512 --> 00:00:33,853 mis tundus järk-järgult kasvavat 14 00:00:33,853 --> 00:00:36,578 ja kahanevat üle paljude päevade. 15 00:00:36,578 --> 00:00:37,894 Kui me lugesime päevade arvu 16 00:00:37,894 --> 00:00:38,978 täiskuude vahel, 17 00:00:38,978 --> 00:00:40,910 jõudsime numbrini 29. 18 00:00:40,910 --> 00:00:42,833 See on kuu algallikas. 19 00:00:42,833 --> 00:00:45,873 Kuid, kui me üritame jagada 29 võrdseteks tükkideks, 20 00:00:45,873 --> 00:00:49,227 me jookseme probleemi otsa: see on võimatu. 21 00:00:49,227 --> 00:00:51,676 Ainuke võimalus jagada 29 võrdseteks juppideks 22 00:00:51,676 --> 00:00:54,819 on murda see [29] üksikuteks tükkideks. 23 00:00:54,819 --> 00:00:57,102 29 on 'algarv' 24 00:00:57,102 --> 00:00:59,061 Mõtle sellest, kui lõhkumatust. 25 00:00:59,061 --> 00:01:00,879 Kui numbrit saab murda 26 00:01:00,879 --> 00:01:02,814 võrdseteks ühest suuremateks juppideks, 27 00:01:02,814 --> 00:01:04,621 kutsume seda 'kordarvuks.' 28 00:01:04,621 --> 00:01:06,608 Nüüd, kui oleme uudishimulikud, võime mõelda, 29 00:01:06,608 --> 00:01:08,450 "Kui palju algarve on olemas? 30 00:01:08,450 --> 00:01:10,398 - ja kui suureks nad lähevad?" 31 00:01:10,398 --> 00:01:13,744 Alustame sellega, et jagame kõik numbrid kahte kategooriasse. 32 00:01:13,744 --> 00:01:15,611 Reastame algarvud vasakule 33 00:01:15,611 --> 00:01:17,648 ja kordarvud paremale. 34 00:01:17,648 --> 00:01:20,379 Esmalt tunduvad nad tantsivat edasi-tagasi. 35 00:01:20,379 --> 00:01:23,017 Ei ole ilmset mustrit siin. 36 00:01:23,017 --> 00:01:24,439 Niisiis, kasutame kaasaegset tehnikat, 37 00:01:24,439 --> 00:01:26,077 et näha suurt pilti. 38 00:01:26,077 --> 00:01:29,047 Trikk seisneb "Ulami spiraali" kasutamises. 39 00:01:29,047 --> 00:01:32,011 Esmalt joondame kõik võimalikud numbrid järjest 40 00:01:32,011 --> 00:01:34,043 kasvavasse spiraali. 41 00:01:34,043 --> 00:01:37,164 Siis värvime kõik algarvud siniseks. 42 00:01:37,164 --> 00:01:41,290 43 00:01:41,290 --> 00:01:42,860 44 00:01:42,860 --> 00:01:45,365 45 00:01:45,365 --> 00:01:47,967 46 00:01:47,967 --> 00:01:50,314 47 00:01:50,314 --> 00:01:51,843 48 00:01:51,843 --> 00:01:52,987 49 00:01:52,987 --> 00:01:55,526 50 00:01:55,526 --> 00:01:58,183 51 00:01:58,183 --> 00:01:59,411 52 00:01:59,411 --> 00:02:02,607 53 00:02:02,607 --> 00:02:04,896 54 00:02:04,896 --> 00:02:07,078 55 00:02:07,078 --> 00:02:10,599 56 00:02:10,599 --> 00:02:12,921 57 00:02:12,921 --> 00:02:15,760 58 00:02:15,760 --> 00:02:17,148 59 00:02:17,148 --> 00:02:20,542 60 00:02:20,542 --> 00:02:23,317 61 00:02:23,317 --> 00:02:25,674 62 00:02:25,674 --> 00:02:28,037 63 00:02:28,037 --> 00:02:30,518 64 00:02:30,518 --> 00:02:33,354 65 00:02:33,354 --> 00:02:34,774 66 00:02:34,774 --> 00:02:37,675 67 00:02:37,675 --> 00:02:40,221 68 00:02:40,221 --> 00:02:41,996 69 00:02:41,996 --> 00:02:46,157 70 00:02:46,157 --> 00:02:48,032 71 00:02:48,032 --> 00:02:50,759 72 00:02:50,759 --> 00:02:52,013 73 00:02:52,013 --> 00:02:53,934 74 00:02:53,934 --> 00:02:55,501 75 00:02:55,501 --> 00:02:57,233 76 00:02:57,233 --> 00:02:59,763 77 00:02:59,763 --> 00:03:01,624 78 00:03:01,624 --> 00:03:05,811 79 00:03:05,811 --> 00:03:07,906 80 00:03:07,906 --> 00:03:10,714 81 00:03:10,714 --> 00:03:12,739 82 00:03:12,739 --> 00:03:13,780 83 00:03:13,780 --> 00:03:16,178 84 00:03:16,178 --> 00:03:20,158 85 00:03:20,158 --> 00:03:23,153 86 00:03:23,153 --> 00:03:24,887 87 00:03:24,887 --> 00:03:27,110 88 00:03:27,110 --> 00:03:28,792 89 00:03:28,792 --> 00:03:31,276 90 00:03:31,276 --> 00:03:34,046 91 00:03:34,046 --> 00:03:36,299 92 00:03:36,299 --> 00:03:38,017 93 00:03:38,033 --> 00:03:39,722 94 00:03:39,722 --> 00:03:42,054 95 00:03:42,054 --> 00:03:43,937 96 00:03:43,937 --> 00:03:47,889