1
00:00:01,370 --> 00:00:03,367
kulo mboniso bhanyabhanya ndifuna ukuthetha kancinane malunga

2
00:00:03,367 --> 00:00:07,500
Nokuba kuthwani xakuthethwa nge Prime Number

3
00:00:07,500 --> 00:00:10,094
kwa nalento uzokuyi bona kulo mboniso bhanyabhanya

4
00:00:10,110 --> 00:00:12,608
ngumcimbi nje lo ocacileyo

5
00:00:12,608 --> 00:00:15,302
kodwa njengokuba uqhubekeka kwi kamva lakho lezobalo

6
00:00:15,302 --> 00:00:17,601
uzawukubona ukuba kukho eminye imicimbi ezamekayo noko

7
00:00:17,601 --> 00:00:20,712
enokuthiwa yakhelwe phezulu kwe Prime Number

8
00:00:20,712 --> 00:00:23,359
eminye yayo ibandakanya icebo le cryptography (ukufihlwa kwamanani okanye amagame aze angakwazi ukufundeka)

9
00:00:23,359 --> 00:00:25,612
kwakhona umhlawumbi ezinye zee zitshintsho enokuthi ikhompyutha yakho

10
00:00:25,612 --> 00:00:28,026
izisebenzise ngoku zingakwazi ukwakhelwa phezu kwee Prime Numbers

11
00:00:28,026 --> 00:00:29,931
kodwa ukuba awumazi ukuba u-encryption uthetha ukuthini

12
00:00:29,931 --> 00:00:31,718
ungaxhalabi ngayo loonto ngoku

13
00:00:31,718 --> 00:00:33,785
kumele nje wazi ukuba yintoni nje iPrime Number kuko oko okubalulekileyo.

14
00:00:33,785 --> 00:00:36,966
Koko, ndizawukunika inkcazelo yayo ukuba yintoni

15
00:00:36,966 --> 00:00:39,404
kwaye inkcazelo ingafuna ukubhidisa nje kancinane

16
00:00:39,404 --> 00:00:43,839
kodwa xa siyibona ngemizekeliso inokuba lula kwaye icace

17
00:00:43,839 --> 00:00:49,946
Inani liyi Prime ukuba linjengokuba linjalo

18
00:00:49,946 --> 00:00:57,794
umzekelo, Inye, Zimbini, okanye Zintathu (ukubalwa kwamanani kuqalwa kwelo kuqala)

19
00:00:57,794 --> 00:01:00,488
Okanye ukwanako ukuthi "iPositive intergers"

20
00:01:00,488 --> 00:01:30,962
Ilinani elinjengokuba linjalo elithi lahlulwahlulwe kanye kanye ngamanani amabini anjengokuba enjalo: Inani kwakunye nelokuqala

21
00:01:30,962 --> 00:01:39,823
Lawo ngamanani amabini ethi yahlulwehlulwe ngawo.

22
00:01:39,823 --> 00:01:43,468
Ukuba lento ayenzi mqondo apha kuwe masike senze nje imizekelo

23
00:01:43,468 --> 00:01:46,115
Masikhe sifunise ukuba ingaba amanyee amanani azi Prime numbers okanye hayi.

24
00:01:46,115 --> 00:01:48,948
Masikhe siqale ngamanani angawona akhe amancinane.

25
00:01:48,948 --> 00:01:52,268
Inani lokuqala. Ungathi umhlawumbi inani lokuqala lahluleka kwangelokuqala

26
00:01:52,268 --> 00:01:59,095
kwaye inani lokuqala likwahluleka kwangelokuqala, andithi, inani lokuqala liyi Prime Number

27
00:01:59,095 --> 00:02:02,137
Kodwa khumbula, inxalenye yenkcazelo yethu, ibisithi kufuneka ikwazi ukwahluleka

28
00:02:02,137 --> 00:02:07,803
kanye kanye ngamanani amabini anjengokuba enjalo. Elokuqala likwahluleka ngenani elinjengokuba linjalo elinye, ngenani elilelokuqala.

29
00:02:07,803 --> 00:02:16,673
Lilonke, inani lokuqala, nokuba umhlawumbi linoku chasana nokufunxa kolwazi kungakhange kucingisiswe, ayisililo inali eliyi Prime

30
00:02:16,673 --> 00:02:20,504
Masigqithele siye kwi nani lesibini

31
00:02:20,504 --> 00:02:28,102
lilonke inani lesibini lahluleka ngelokuqalakwakunye kwangalo elesibini, kwaye alahluleki ngelinye inani elingenjengokuba linjalo

32
00:02:28,102 --> 00:02:30,906
ingathi kengoku iyayo nela imibambela yethu.

33
00:02:30,906 --> 00:02:33,948
Lahlula hluleka kanye kanye ngawo amanani amabini anjengokuba enjalo.

34
00:02:33,948 --> 00:02:42,238
Elesibini kwakunye nelokuqala. Ngoko ke inani lesibini liyiyo iPrime

35
00:02:42,238 --> 00:02:52,849
Ndizakuwa kwelela isangqa amanani azi Prime.

36
00:02:52,849 --> 00:02:55,334
Inani lesibini lenza umdla kuba

37
00:02:55,334 --> 00:02:57,818
Lilo lodwa inani eligqagqeneyo elikwayiyo neliyi Prime

38
00:02:57,818 --> 00:03:00,396
Ukuba ke uyayicigisisa lento, nokuba leliphi na inani eligqagqeneyo

39
00:03:00,396 --> 00:03:03,620
lizawukwazi ukwahlula hluleka nge nani lesibini, ngoko ke alizukuba yiyo iPrime

40
00:03:03,620 --> 00:03:06,688
Sizakucinga ngayo loonto kakhulu kwimiboniso bhanyabhanya ezayo.

41
00:03:06,688 --> 00:03:13,144
Masikhe sizame inani lesithathu. Koko, inani lesithathu liyahlula hluleka ngelo kuqala kwangalo elesiThathu

42
00:03:13,144 --> 00:03:15,651
kwaye alikwazi ukwahlula hluleka ngenye into engenye.

43
00:03:15,651 --> 00:03:20,272
alikwazi ukwahlula hluleka ngelesibini. Koko, inani lesithathu likwayiyo iPrime Number

44
00:03:20,272 --> 00:03:25,264
Masizame inani leSine.

45
00:03:25,264 --> 00:03:29,676
Inani leSine liyakwazi ukwahlula hluleka ngenani lokuqala kwangalo eleSine, kodwa

46
00:03:29,676 --> 00:03:36,224
Liyakwazi ukwahlula hluleka kwangalo inani leSibini. Koko, liyahlula hluleka

47
00:03:36,224 --> 00:03:40,311
ngamanani amaThathu anjengokuba enjalo: Elokuqala, EleSibini kwakunye EleSine.

48
00:03:40,311 --> 00:03:44,723
Ngoko, alikwazi ukwanele umlinganiselo wethu wokuba yi Prime

49
00:03:44,723 --> 00:03:48,252
Masizame inani lesiHlanu.

50
00:03:48,252 --> 00:03:51,015
inani lesiHlanu liya kwazi ukwahlula hluleka ngelo kuqala,

51
00:03:51,015 --> 00:03:57,842
alikwazi ukwahlula hluleka ngenani leSibini, lesiThathu okanye leSine

52
00:03:57,842 --> 00:04:01,209
(ungalahlula hlula inani lesiHlanu okanye leSine kodwa uzawukufumana intshiyekela)

53
00:04:01,209 --> 00:04:05,133
kwaye liyakwazi ukwahlula hluleka kwangalo inani lesiHlanu ngokokucacileyo.

54
00:04:05,133 --> 00:04:10,265
kwakhona ke ngoko, inani lesiHlanu liyakwazi ukwahlula hluleka kanye kanye ngawo amanani anjengokuba enjalo: elokuqala kwakunye nelesiHlanu

55
00:04:10,265 --> 00:04:14,235
ngoko kwakhona, inani lesiHlanu liyiyo iPrime. Masiqhubekeke

56
00:04:14,235 --> 00:04:17,393
khonukuze sikwazi ukubona ukuba ikhona na enye indlela apha

57
00:04:17,393 --> 00:04:19,924
kwaye umhlawumbi ndizawukuzama enzinyana

58
00:04:19,924 --> 00:04:26,031
eye ithande ukuwisa abantu. Masizame kengoku inani lesiThandathu

59
00:04:26,031 --> 00:04:34,622
Liyahlula hluleka ngelokuqala, leSibini, lesiThathu kwakunye elesiThandathu

60
00:04:34,622 --> 00:04:37,595
Lilonke inamanani amane anjengokuba enjalo "factors"

61
00:04:37,595 --> 00:04:40,033
Ndicinga ukuba ungakwazi ukutsho nje kanjalo

62
00:04:40,033 --> 00:04:43,005
ukwenzela ukuba ingabi nawo kanye kanye amanani amabini ethi yahlula hluleke ngalo

63
00:04:43,005 --> 00:04:46,743
inamanani amane, koko ayisiyiyo iPrime

64
00:04:46,743 --> 00:04:49,715
Masigqithele kwi nani lesi Xhenxe

65
00:04:49,715 --> 00:04:55,869
Inani lesiXhenxe lahlula hluleka ngenani lokuqala HAYI eleSibini, lesiThathu, leSine, lesihlanu okanye lesiThandathu,

66
00:04:55,869 --> 00:05:00,791
kodwa likwakwazi ukwahlula hluleka ngenani lesi Xhenxe

67
00:05:00,791 --> 00:05:03,624
Lilonke inani lesiXhenxe liyiyo iPrime. Ndicinga ukuba uyayi noko lento

68
00:05:03,624 --> 00:05:06,689
Mangaphi amanani anjengokuba enjalo, amanani anje ngeLokuqala, leSibini, lesiThathu, leSine, lesiHlanu

69
00:05:06,689 --> 00:05:09,383
Amanani othi uwafunde xa uneminyaka emibini ubuncinane

70
00:05:09,383 --> 00:05:11,681
ungalibali inani elingengokho (iqanda) ukwangawadibanisi amanani aziinegative

71
00:05:11,681 --> 00:05:13,980
ukwangawadibanisi amacala kwakunye nawo amanani kwakunye nawo amanani aziirrational

72
00:05:13,980 --> 00:05:15,768
kwaye namanani azii Decimal kwakunye nawo onke amanye

73
00:05:15,768 --> 00:05:18,578
kwakunye nawo nje amanye amanani aziiPositive

74
00:05:18,578 --> 00:05:21,318
ukuba ke unamanani amabini kuphela,

75
00:05:21,318 --> 00:05:23,733
ukuba ke wahlula hluleka ngawe kwakunye ngenani lokuqala

76
00:05:23,733 --> 00:05:25,544
uzakuba yiyo ke iPrime.

77
00:05:25,544 --> 00:05:27,192
kwangohlobo ke endiyicinga ngayo,

78
00:05:27,192 --> 00:05:29,607
ukuba ke asicingi ngemeko ekhethekileyo yenani lokuqala

79
00:05:29,607 --> 00:05:31,604
amanani aziPrime angafaniswa namanani okwakha

80
00:05:31,604 --> 00:05:33,299
awunokwazi ukuwaphula.

81
00:05:33,299 --> 00:05:34,809
Ziphantse zafana neeAtoms.

82
00:05:34,809 --> 00:05:36,285
Ukuba ke uyayicingisisisa ukuba iAtom yintoni

83
00:05:36,285 --> 00:05:38,111
okanye abantu bacinga ukuba iAtom yintoni ekuqaleni

84
00:05:38,111 --> 00:05:39,991
babecinga ukuba zizo ezi zinto

85
00:05:39,991 --> 00:05:41,890
wawungena kwazi ukuzahlula hlula

86
00:05:41,890 --> 00:05:43,986
ngoku ke siyayazi ukuba siyakwazi ukuzahlula hlula iAtoms kwaye futhi

87
00:05:43,986 --> 00:05:46,475
ukuba awuzahluli unokwenza into ekuthiwa luqhushumbo lwe nuclear

88
00:05:46,475 --> 00:05:49,655
kodwa isekwa lelo cebo eli lisemva kwa manani aziiPrime

89
00:05:49,655 --> 00:05:52,618
awukwazi ukuwaphula

90
00:05:52,618 --> 00:05:57,402
abezi zinto ezincinane ngokwamanani anjengokuba enjalo

91
00:05:57,402 --> 00:06:01,256
Amanani anje nge siThandathu uyakwazi ukuthi, inani Isibini uze usi phindaphinde kaThathu,

92
00:06:01,256 --> 00:06:03,717
uyakwazi ukuwaphula kwaye uqaphele ukuba siyawaphula

93
00:06:03,717 --> 00:06:06,411
njenge nani eliphuma kwi nani eliyi Prime

94
00:06:06,411 --> 00:06:08,872
Siye ke saba kuwaphula aba ngamaceba

95
00:06:08,872 --> 00:06:11,217
awukwazi kengoko ukuphinda uwaphule kwakhona

96
00:06:11,217 --> 00:06:14,817
Into onokuyithetha yeyokuba isiXhenxe senziwa linani lokuqala okanye UNYE uze umphindaphinde kasiXhenxe.

97
00:06:14,817 --> 00:06:16,930
kwaye kuleyo ke imeko awukayi phuli kangako

98
00:06:16,930 --> 00:06:19,066
Use nelo nani lisisiXhenxe kwakhona.

99
00:06:19,066 --> 00:06:20,877
inani lesiThandathu uyakwazi ukulaphula

100
00:06:20,877 --> 00:06:23,965
Inani leSine nalo uyakwazi ukulaphula ngokuthi inani leSibini okanye Uzimbini uze umphindaphinde kabini.

101
00:06:23,965 --> 00:06:25,800
Njengoko ke sesiyi susile ke leyo endleleni yethu masicinge ke

102
00:06:25,800 --> 00:06:27,425
ngawo amanani amakhulu kwaye sicinge ngokuba

103
00:06:27,425 --> 00:06:30,072
ingaba loomanani makhulu angamanani aziiPrime

104
00:06:30,072 --> 00:06:34,902
Masizame ke inani leShumi linesiThandathu

105
00:06:34,902 --> 00:06:38,872
Kucacile ke ukuba nokuba leliphi inani elinjengokuba linjalo liyakwazi ukwahlula hluleka ngo Nye (Inani lokuqala) kwaye kwanangalo.

106
00:06:38,872 --> 00:06:42,262
Ngoko ke iShumi elinesiThandathu liyakwazi ukwahlula hluleka ngo Nye kwakunye nangalo iShumi elinesiThadathu.

107
00:06:42,262 --> 00:06:44,143
Ngoko ke uzawukuqala ngenani uZimbini

108
00:06:44,143 --> 00:06:46,071
ngoko ke ukuba uyakwazi ukufumana enye into engenye ethi ingene apha

109
00:06:46,071 --> 00:06:48,207
uzawukwazi ke ukuba ayisiyiyo iPrime

110
00:06:48,207 --> 00:06:51,109
kwaye ke inani eli Shumi elinesiThandathu ungakwazi ukuthi uZimbini uze umphindaphinde kaSibhozo

111
00:06:51,109 --> 00:06:53,362
ungamfumana nango Zine umphindaphinde kaNe

112
00:06:53,362 --> 00:06:55,451
ngoko ke ineton yamanani amancinane

113
00:06:55,451 --> 00:06:57,588
ngaphezu koko nagaphaya kwenani elingu Nye kwakunye neShumi elinesiThandathu.

114
00:06:57,588 --> 00:07:02,278
ngoko ke uShumi elinesiThandathu akayiyo iPrime.

115
00:07:02,278 --> 00:07:06,411
uNye kwakunye neShumi elinesiXhenxe uzakunika ishumi elinesiXhenxe

116
00:07:06,411 --> 00:07:10,846
uZimbini akayi kuShumi elinesiXhenxe, uZintathu akayi ku Zine, Zinhlanu, zintandathu, ZisiXhenxe, ZisiBhozo...

117
00:07:10,846 --> 00:07:14,701
alikho inani ke apho eliphakathi koNye kwakunye noShumielinesiXhenxe

118
00:07:14,701 --> 00:07:21,086
Lilonke ke uShumi elinesiXhenxe uyiyo iPrime

119
00:07:21,086 --> 00:07:23,803
Ngoku ke ndizawukunika engathi inzima

120
00:07:23,803 --> 00:07:26,822
Lena ke yona ingaba bhida abantu abaninzi

121
00:07:26,822 --> 00:07:34,345
Sizakuthini kengoku ngamaShumi Amahlanu anaNye? Ingaba uyi Prime?

122
00:07:34,345 --> 00:07:37,480
kwaye ukuba ke unomdla ungakwazi ukumisa kancinane lomboniso bhanyabhanya apha

123
00:07:37,480 --> 00:07:39,500
kwaye uzame ukuzifunela ngokwakho

124
00:07:39,500 --> 00:07:41,520
ukuba ingaba amaShumi amaHlanu anaNye ayi Prime number

125
00:07:41,520 --> 00:07:45,142
Ukuba ke uyakwazi ukufumana nokuba yeyiphi enye into ngaphandle koNye okanye Amashumi Amahlanu ananye

126
00:07:45,142 --> 00:07:48,161
enokuthi yahlula hluleke kumashumi amahlanu ananye. Kuyabonakala ukuba...

127
00:07:48,161 --> 00:07:50,042
wow linani eli noko elithanda ukunga qheleki

128
00:07:50,042 --> 00:07:52,340
Ungacinga ukuba iyiyo iPrime,

129
00:07:52,340 --> 00:07:54,268
Kodwa ngoku ndizawuku ninika impendulo

130
00:07:54,268 --> 00:07:59,933
Akayiyo iPrime, kuba nayo ayikwazi ukwahlula hluleka ngeSithathu nakwangeShumi elinesiXhenxe

131
00:07:59,933 --> 00:08:02,998
Isithathu ke usiphindaphinde ngeshumi elinesiXhenxe likunika amashumi amahlanu ananye.

132
00:08:02,998 --> 00:08:04,779
ngoko ke ngethemba ukuba lento ikunika ukuqonda okulungileyo

133
00:08:04,779 --> 00:08:06,388
ngokokuba amanani aziiPrime angantoni na

134
00:08:06,388 --> 00:08:09,407
ngokwe themba ke singakunika ukuzilolonga

135
00:08:09,407 --> 99:59:59,999
kuyo imiboniso bhanyabhanya kwixa elizayo kwaye umhlawumbi nakuzo ezinye izibalo ezincinane