tables

0:

\[{17^{0}-1\over16}\]

0

1:

\[{17^{1}-1\over16}\]

1

2:

\[{17^{2}-1\over16}\]

2 × 3²

3:

\[{17^{3}-1\over16}\]

307

4:

\[{17^{4}-1\over16}\]

2² × 3² × 5 × 29

5:

\[{17^{5}-1\over16}\]

88741

6:

\[{17^{6}-1\over16}\]

2 × 3³ × 7 × 13 × 307

7:

\[{17^{7}-1\over16}\]

25646167

8:

\[{17^{8}-1\over16}\]

2³ × 3² × 5 × 29 × 41761

9:

\[{17^{9}-1\over16}\]

19 × 307 × 1270657

10:

\[{17^{10}-1\over16}\]

2 × 3² × 11 × 71 × 101 × 88741

11:

\[{17^{11}-1\over16}\]

2141993519227_<13>

12:

\[{17^{12}-1\over16}\]

2² × 3³ × 5 × 7 × 13 × 29 × 307 × 83233

13:

\[{17^{13}-1\over16}\]

212057 × 2919196853

14:

\[{17^{14}-1\over16}\]

2 × 3² × 22796593 × 25646167

15:

\[{17^{15}-1\over16}\]

307 × 88741 × 6566760001_<10>

16:

\[{17^{16}-1\over16}\]

2⁴ × 3² × 5 × 29 × 18913 × 41761 × 184417

17:

\[{17^{17}-1\over16}\]

10949 × 1749233 × 2699538733

18:

\[{17^{18}-1\over16}\]

2 × 3⁴ × 7 × 13 × 19 × 307 × 1423 × 5653 × 1270657

19:

\[{17^{19}-1\over16}\]

229 × 1103 × 202607147 × 291973723

20:

\[{17^{20}-1\over16}\]

2² × 3² × 5² × 11 × 29 × 71 × 101 × 21881 × 63541 × 88741

21:

\[{17^{21}-1\over16}\]

43 × 307 × 13567 × 25646167 × 940143709

22:

\[{17^{22}-1\over16}\]

2 × 3² × 23 × 947 × 87415373 × 2141993519227_<13>

23:

\[{17^{23}-1\over16}\]

47 × 26552618219228090162977481_<26>

24:

\[{17^{24}-1\over16}\]

2³ × 3³ × 5 × 7 × 13 × 29 × 73 × 307 × 1321 × 41761 × 72337 × 83233

25:

\[{17^{25}-1\over16}\]

2551 × 5351 × 88741 × 26278001 × 11330289301_<11>

26:

\[{17^{26}-1\over16}\]

2 × 3² × 53 × 79 × 65651 × 212057 × 2001793 × 2919196853

27:

\[{17^{27}-1\over16}\]

19 × 307 × 433 × 24733 × 1270657 × 1313154695584063_<16>

28:

\[{17^{28}-1\over16}\]

2² × 3² × 5 × 29 × 5766433 × 22796593 × 25646167 × 100688449

29:

\[{17^{29}-1\over16}\]

59 × 7193 × 6088087 × 11658852700685942029849_<23>

30:

\[{17^{30}-1\over16}\]

2 × 3³ × 7 × 11 × 13 × 31 × 71 × 101 × 307 × 88741 × 238212511 × 6566760001_<10>

31:

\[{17^{31}-1\over16}\]

4093 × 6123493 × 347340647626008901939025023_<27>

32:

\[{17^{32}-1\over16}\]

2⁵ × 3² × 5 × 29 × 257 × 18913 × 41761 × 184417 × 1801601 × 52548582913_<11>

33:

\[{17^{33}-1\over16}\]

67 × 307 × 3697 × 976669 × 2141993519227_<13> × 15814892288119_<14>

34:

\[{17^{34}-1\over16}\]

2 × 3² × 10949 × 1749233 × 2699538733 × 45957792327018709121_<20>

35:

\[{17^{35}-1\over16}\]

88741 × 966211 × 21998621 × 25646167 × 15030659834591591_<17>

36:

\[{17^{36}-1\over16}\]

2² × 3⁴ × 5 × 7 × 13 × 19 × 29 × 37 × 109 × 181 × 307 × 1423 × 2089 × 5653 × 83233 × 382069 × 1270657

37:

\[{17^{37}-1\over16}\]

149 × 223 × 1016919604559540581_<19> × 6218882581209875638403_<22>

38:

\[{17^{38}-1\over16}\]

2 × 3² × 229 × 457 × 1103 × 1559 × 2927 × 312931 × 20352763 × 202607147 × 291973723

39:

\[{17^{39}-1\over16}\]

157 × 307 × 212057 × 2919196853 × 2035325753852213746064248693_<28>

40:

\[{17^{40}-1\over16}\]

2³ × 3² × 5² × 11 × 29 × 41 × 71 × 101 × 21881 × 41761 × 63541 × 88741 × 1186844128302568601_<19>

41:

\[{17^{41}-1\over16}\]

83 × 892079 × 13365673 × 960217114820653_<15> × 18469031047049514697_<20>

42:

\[{17^{42}-1\over16}\]

2 × 3³ × 7² × 13 × 43 × 307 × 13567 × 22796593 × 25646167 × 940143709 × 88109799136087_<14>

43:

\[{17^{43}-1\over16}\]

1549 × 3075877724153666279633_<22> × 1064542861270580708122635671_<28>

44:

\[{17^{44}-1\over16}\]

2² × 3² × 5 × 23 × 29 × 89 × 947 × 25741 × 87415373 × 256152733 × 6901823633_<10> × 2141993519227_<13>

45:

\[{17^{45}-1\over16}\]

19 × 307 × 3691 × 33931 × 88741 × 316531 × 1270657 × 1674271 × 5113320301_<10> × 6566760001_<10>

46:

\[{17^{46}-1\over16}\]

2 × 3² × 47 × 26552618219228090162977481_<26> × 1109309383381084655697725873_<28>

47:

\[{17^{47}-1\over16}\]

423622795798733187216959754496018087627393990881167960767_<57>

48:

\[{17^{48}-1\over16}\]

2⁴ × 3³ × 5 × 7 × 13 × 29 × 73 × 307 × 1321 × 18913 × 41761 × 72337 × 83233 × 184417 × 48661191868691111041_<20>

49:

\[{17^{49}-1\over16}\]

491 × 883 × 25646167 × 474969439337_<12> × 1094794793219_<13> × 21174546269742403551077_<23>

50:

\[{17^{50}-1\over16}\]

2 × 3² × 11 × 71 × 101 × 2551 × 5351 × 88741 × 26278001 × 11330289301_<11> × 4064228544226537005066401_<25>

51:

\[{17^{51}-1\over16}\]

103 × 307 × 409 × 10949 × 1749233 × 2699538733 × 162260934541944127_<18> × 326099734864828369_<18>

52:

\[{17^{52}-1\over16}\]

2² × 3² × 5 × 29 × 53 × 79 × 65651 × 212057 × 2001793 × 19825313 × 1224199237 × 2919196853 × 13938043025453_<14>

53:

\[{17^{53}-1\over16}\]

4375997670680275555605273053_<28> × 2336661313161818672990011193252900057_<37>

54:

\[{17^{54}-1\over16}\]

2 × 3⁵ × 7 × 13 × 19 × 163 × 307 × 433 × 1423 × 5653 × 24733 × 1270657 × 1313154695584063_<16> × 28758863909916435817_<20>

55:

\[{17^{55}-1\over16}\]

88741 × 15357101 × 3332897591 × 2141993519227_<13> × 962619789378941_<15> × 315531140147973311_<18>

56:

\[{17^{56}-1\over16}\]

2³ × 3² × 5 × 29 × 2801 × 15121 × 41761 × 5766433 × 22796593 × 25646167 × 100688449 × 12876020081_<11> × 622434484561_<12>

57:

\[{17^{57}-1\over16}\]

229 × 307 × 1103 × 202607147 × 291973723 × 6162410920417_<13> × 30211339578587520100541032742977_<32>

58:

\[{17^{58}-1\over16}\]

2 × 3² × 59 × 349 × 7193 × 23549 × 2919779 × 6088087 × 18032534719_<11> × 61878754061_<11> × 11658852700685942029849_<23>

59:

\[{17^{59}-1\over16}\]

1063 × 1889 × 1365581260423071390161_<22> × 90008517325328860435221505121015340220148461_<44>

60:

\[{17^{60}-1\over16}\]

2² × 3³ × 5² × 7 × 11 × 13 × 29 × 31 × 61 × 71 × 101 × 307 × 541 × 21881 × 63541 × 83233 × 88741 × 238212511 × 6566760001_<10> × 1479639031521241_<16>

61:

\[{17^{61}-1\over16}\]

15103230859721_<14> × 4722743517602912319810923441122498349478034813612513477513781_<61>

62:

\[{17^{62}-1\over16}\]

2 × 3² × 373 × 4093 × 6123493 × 36845423 × 347340647626008901939025023_<27> × 563056114507738352440487747_<27>

63:

\[{17^{63}-1\over16}\]

19 × 43 × 127 × 307 × 13567 × 1270657 × 25646167 × 940143709 × 41643373496311819_<17> × 37387216988215606147063933_<26>

64:

\[{17^{64}-1\over16}\]

2⁶ × 3² × 5 × 29 × 257 × 1409 × 18913 × 41761 × 165569 × 184417 × 1801601 × 52548582913_<11> × 5075110114734021328723863149761_<31>

65:

\[{17^{65}-1\over16}\]

88741 × 212057 × 9882731 × 2919196853 × 42774218980741_<14> × 256543213498592579101758761102741785511_<39>

66:

\[{17^{66}-1\over16}\]

2 × 3³ × 7 × 13 × 23 × 67 × 199 × 307 × 947 × 991 × 3697 × 48973 × 976669 × 11372329 × 39172453 × 87415373 × 2141993519227_<13> × 15814892288119_<14>

67:

\[{17^{67}-1\over16}\]

436171 × 3947307526766022401589857104042951617118791047554203106309872173198737769977_<76>

68:

\[{17^{68}-1\over16}\]

2² × 3² × 5 × 29 × 137 × 1361 × 10949 × 1749233 × 2698649 × 2699538733 × 1002402000793_<13> × 4678410332263673_<16> × 45957792327018709121_<20>

69:

\[{17^{69}-1\over16}\]

47 × 307 × 25225573 × 9559382330644273_<16> × 26552618219228090162977481_<26> × 5385687325711213602812791946461_<31>

70:

\[{17^{70}-1\over16}\]

2 × 3² × 11 × 71 × 101 × 701 × 88741 × 966211 × 21998621 × 22796593 × 25646167 × 15030659834591591_<17> × 512718953215732865581052501_<27>

71:

\[{17^{71}-1\over16}\]

143798195172461138521036839345269251740737334259640879028155379795667047030720519999127_<87>

72:

\[{17^{72}-1\over16}\]

2³ × 3⁴ × 5 × 7 × 13 × 19 × 29 × 37 × 73 × 109 × 181 × 307 × 1321 × 1423 × 2089 × 5653 × 41761 × 72337 × 83233 × 382069 × 1270657 × 28639368230833_<14> × 11852519531110417_<17>

73:

\[{17^{73}-1\over16}\]

293 × 1621745371 × 3038535503 × 319344640907_<12> × 596137412912777_<15> × 151192644932534555018760925054337887684171_<42>

74:

\[{17^{74}-1\over16}\]

2 × 3² × 149 × 223 × 1481 × 2591 × 172683287783_<12> × 1016919604559540581_<19> × 6218882581209875638403_<22> × 281880352305551730895009697_<27>

75:

\[{17^{75}-1\over16}\]

151 × 307 × 2551 × 5101 × 5351 × 88741 × 26278001 × 6566760001_<10> × 11330289301_<11> × 1995937064371951_<16> × 10744282911799904868353724301_<29>

76:

\[{17^{76}-1\over16}\]

2² × 3² × 5 × 29 × 229 × 457 × 1103 × 1559 × 2927 × 247381 × 312931 × 20352763 × 202607147 × 291973723 × 796699736849174247608318245316124490909_<39>

77:

\[{17^{77}-1\over16}\]

25646167 × 2141993519227_<13> × 63183887777606431620036734659574373415341987361849452469359581232953058529_<74>

78:

\[{17^{78}-1\over16}\]

2 × 3³ × 7 × 13² × 53 × 79 × 157 × 307 × 1249 × 65651 × 212057 × 2001793 × 2919196853 × 1837708051687_<13> × 12042786858259_<14> × 2035325753852213746064248693_<28>

79:

\[{17^{79}-1\over16}\]

2371 × 8849 × 32233 × 95294351981_<11> × 15565073214383744299753594766453955551010962009527408014734638227062006641_<74>

80:

\[{17^{80}-1\over16}\]

2⁴ × 3² × 5² × 11 × 29 × 41 × 71 × 101 × 241 × 18913 × 21881 × 41761 × 63541 × 88741 × 184417 × 3583912721 × 1186844128302568601_<19> × 2741517463686662290741112321_<28>

81:

\[{17^{81}-1\over16}\]

19 × 307 × 433 × 24733 × 1270657 × 6770748529_<10> × 454194717025663_<15> × 1313154695584063_<16> × 904405077653173242898527606595551272070589_<42>

82:

\[{17^{82}-1\over16}\]

2 × 3² × 83 × 1231 × 892079 × 13365673 × 62919257 × 18798033503_<11> × 76203249126187_<14> × 140606605811723_<15> × 960217114820653_<15> × 18469031047049514697_<20>

83:

\[{17^{83}-1\over16}\]

186917 × 1441585450365875501_<19> × 859764623611313847689900219_<27> × 361636059093059401270170190932275191488900255093209_<51>

84:

\[{17^{84}-1\over16}\]

2² × 3³ × 5 × 7² × 13 × 29 × 43 × 307 × 1093 × 13567 × 83233 × 5766433 × 22796593 × 25646167 × 100688449 × 940143709 × 88109799136087_<14> × 311640640511791392291238477_<27>

85:

\[{17^{85}-1\over16}\]

5441 × 10949 × 88741 × 208931 × 1749233 × 22296011 × 24543581 × 2699538733 × 4939937011021_<13> × 7517339434046845421_<19> × 228438898023070765592141_<24>

86:

\[{17^{86}-1\over16}\]

2 × 3² × 1549 × 8171 × 279119267104661_<15> × 3075877724153666279633_<22> × 1064542861270580708122635671_<28> × 1976815271971094795525780184146983_<34>

87:

\[{17^{87}-1\over16}\]

59 × 307 × 523 × 7193 × 8179 × 16879 × 6088087 × 37286983 × 52627759112497_<14> × 11658852700685942029849_<23> × 5340455877669348272609426509595308057_<37>

88:

\[{17^{88}-1\over16}\]

2³ × 3² × 5 × 23 × 29 × 89 × 353 × 947 × 25741 × 41761 × 4578289 × 87415373 × 256152733 × 6901823633_<10> × 2141993519227_<13> × 10220537742525964173135803376631640231153_<41>

89:

\[{17^{89}-1\over16}\]

179 × 7121 × 10859 × 1391124231325187854601158067_<28> × 79943735756244327721739740331_<29> × 1313710937719382635079196676302169528587113_<43>

90:

\[{17^{90}-1\over16}\]

2 × 3⁴ × 7 × 11 × 13 × 19 × 31 × 71 × 101 × 307 × 1423 × 3691 × 5653 × 33931 × 88741 × 316531 × 1270657 × 1674271 × 238212511 × 2220161311 × 5113320301_<10> × 6566760001_<10> × 152924817473166888991_<21>

91:

\[{17^{91}-1\over16}\]

212057 × 513059 × 25646167 × 2919196853 × 986802324691_<12> × 1128882253376333_<16> × 633917591815554047_<18> × 101604859007816647702158801323372000819_<39>

92:

\[{17^{92}-1\over16}\]

2² × 3² × 5 × 29 × 47 × 1511845630837_<13> × 26552618219228090162977481_<26> × 1109309383381084655697725873_<28> × 909379032187982366535129290548012827355069_<42>

93:

\[{17^{93}-1\over16}\]

307 × 4093 × 6123493 × 23125381 × 32914090064285401_<17> × 4083338668402072819_<19> × 347340647626008901939025023_<27> × 20333334196989020875813546533751_<32>

94:

\[{17^{94}-1\over16}\]

2 × 3² × 376553596265540610859519781774238300113239103005482631793_<57> × 423622795798733187216959754496018087627393990881167960767_<57>

95:

\[{17^{95}-1\over16}\]

191 × 229 × 1103 × 88741 × 202607147 × 243888371 × 291973723 × 790258628122415702756879695009414803659288068090984593801128670245440884276421_<78>

96:

\[{17^{96}-1\over16}\]

2⁵ × 3³ × 5 × 7 × 13 × 29 × 73 × 97 × 257 × 307 × 1321 × 18913 × 41761 × 72337 × 83233 × 184417 × 1120513 × 1801601 × 53160769 × 80592097 × 52548582913_<11> × 5085025550848897_<16> × 48661191868691111041_<20>

97:

\[{17^{97}-1\over16}\]

389 × 90976939813_<11> × 438263590967631109_<18> × 65888627940954399173_<20> × 13803798418776916198818932565461346902705841274674397535895798620689_<68>

98:

\[{17^{98}-1\over16}\]

2 × 3² × 491 × 883 × 22796593 × 25646167 × 711954517 × 474969439337_<12> × 1094794793219_<13> × 1465198716273377_<16> × 21174546269742403551077_<23> × 4576209702754960230170484653_<28>

99:

\[{17^{99}-1\over16}\]

19 × 67 × 307 × 3697 × 48907 × 976669 × 1270657 × 7298280793_<10> × 53203926799_<11> × 2141993519227_<13> × 15814892288119_<14> × 3534366624825269090846591317571377816092437915221_<49>

Base 17 Repunits

Table