tables

0:

\frac{31^{0} - 1}{30}

0

1:

\frac{31^{1} - 1}{30}

1

2:

\frac{31^{2} - 1}{30}

2⁵

3:

\frac{31^{3} - 1}{30}

3 × 331

4:

\frac{31^{4} - 1}{30}

2⁶ × 13 × 37

5:

\frac{31^{5} - 1}{30}

5 × 11 × 17351

6:

\frac{31^{6} - 1}{30}

2⁵ × 3 × 7² × 19 × 331

7:

\frac{31^{7} - 1}{30}

917087137

8:

\frac{31^{8} - 1}{30}

2⁷ × 13 × 37 × 409 × 1129

9:

\frac{31^{9} - 1}{30}

3² × 331 × 3637 × 81343

10:

\frac{31^{10} - 1}{30}

2⁵ × 5 × 11 × 41 × 17351 × 21821

11:

\frac{31^{11} - 1}{30}

23 × 397 × 617 × 150332843

12:

\frac{31^{12} - 1}{30}

2⁶ × 3 × 7² × 13 × 19 × 37 × 331 × 922561

13:

\frac{31^{13} - 1}{30}

42407 × 2426789 × 7908811

14:

\frac{31^{14} - 1}{30}

2⁵ × 11971 × 71821 × 917087137

15:

\frac{31^{15} - 1}{30}

3 × 5 × 11 × 331 × 2521 × 17351 × 327412201

16:

\frac{31^{16} - 1}{30}

2⁸ × 13 × 17 × 37 × 409 × 1129 × 25085030513_<11>

17:

\frac{31^{17} - 1}{30}

751670559138758105956097_<24>

18:

\frac{31^{18} - 1}{30}

2⁵ × 3² × 7² × 19 × 331 × 577 × 3637 × 81343 × 1538083

19:

\frac{31^{19} - 1}{30}

571 × 14251 × 88770666332610762169_<20>

20:

\frac{31^{20} - 1}{30}

2⁶ × 5 × 11 × 13 × 37 × 41 × 181 × 17351 × 21821 × 4707206941_<10>

21:

\frac{31^{21} - 1}{30}

3 × 43 × 331 × 6301 × 917087137 × 2813432694367_<13>

22:

\frac{31^{22} - 1}{30}

2⁵ × 23 × 397 × 617 × 757241 × 150332843 × 1048563011

23:

\frac{31^{23} - 1}{30}

1509997 × 61562537 × 7176374761323733117_<19>

24:

\frac{31^{24} - 1}{30}

2⁷ × 3 × 7² × 13 × 19 × 37 × 331 × 409 × 1129 × 922561 × 852890113921_<12>

25:

\frac{31^{25} - 1}{30}

5² × 11 × 101 × 4951 × 17351 × 13277801 × 20235942281002951_<17>

26:

\frac{31^{26} - 1}{30}

2⁵ × 17863 × 42407 × 2426789 × 7908811 × 42716694944587_<14>

27:

\frac{31^{27} - 1}{30}

3³ × 331 × 3637 × 81343 × 1836205027201_<13> × 126901881805771_<15>

28:

\frac{31^{28} - 1}{30}

2⁶ × 13 × 29 × 37 × 7253 × 11971 × 13469 × 71821 × 277739477 × 917087137

29:

\frac{31^{29} - 1}{30}

349 × 10789 × 49823 × 1482570191 × 11242578713_<11> × 189343400041_<12>

30:

\frac{31^{30} - 1}{30}

2⁵ × 3 × 5 × 7² × 11 × 19 × 41 × 331 × 2521 × 17351 × 21821 × 327412201 × 880374069121_<12>

31:

\frac{31^{31} - 1}{30}

568972471024107865287021434301977158534824481_<45>

32:

\frac{31^{32} - 1}{30}

2⁹ × 13 × 17 × 37 × 409 × 1129 × 1889 × 1347329 × 6139297 × 23277313 × 25085030513_<11>

33:

\frac{31^{33} - 1}{30}

3 × 23 × 331 × 397 × 617 × 150332843 × 650141690025315305584300036801_<30>

34:

\frac{31^{34} - 1}{30}

2⁵ × 103 × 6841661642646463343047_<22> × 751670559138758105956097_<24>

35:

\frac{31^{35} - 1}{30}

5 × 11 × 17351 × 319061 × 203633641 × 917087137 × 9240957640390889951861_<22>

36:

\frac{31^{36} - 1}{30}

2⁶ × 3² × 7² × 13 × 19 × 37 × 331 × 577 × 3637 × 81343 × 922561 × 1536553 × 1538083 × 512616735577_<12>

37:

\frac{31^{37} - 1}{30}

149 × 4219 × 152597832677_<12> × 257803457371_<12> × 386626708057_<12> × 52812493022953_<14>

38:

\frac{31^{38} - 1}{30}

2⁵ × 191 × 571 × 14251 × 88770666332610762169_<20> × 3545592640701962728192781_<25>

39:

\frac{31^{39} - 1}{30}

3 × 79² × 331 × 13807 × 39703 × 42407 × 2426789 × 7908811 × 175500339130677572941801_<24>

40:

\frac{31^{40} - 1}{30}

2⁷ × 5 × 11 × 13 × 37 × 41 × 181 × 409 × 1129 × 17351 × 21821 × 4707206941_<10> × 727422334085254365392641_<24>

41:

\frac{31^{41} - 1}{30}

83 × 42481797154433176612759_<23> × 132259604354473376342663326676479453_<36>

42:

\frac{31^{42} - 1}{30}

2⁵ × 3 × 7³ × 19 × 43 × 211 × 331 × 6301 × 11971 × 71821 × 917087137 × 2813432694367_<13> × 550469850411853_<15>

43:

\frac{31^{43} - 1}{30}

146982701137_<12> × 3049055684506560663410351046998584180840895763387409_<52>

44:

\frac{31^{44} - 1}{30}

2⁶ × 13 × 23 × 37 × 397 × 617 × 2729 × 757241 × 150332843 × 1048563011 × 245911396799577828131028569_<27>

45:

\frac{31^{45} - 1}{30}

3² × 5 × 11 × 271 × 331 × 2521 × 3637 × 17351 × 63901 × 81343 × 106291 × 327412201 × 337048683633480845467801_<24>

46:

\frac{31^{46} - 1}{30}

2⁵ × 47 × 1509997 × 61562537 × 45414448613_<11> × 7176374761323733117_<19> × 293006379555093281221_<21>

47:

\frac{31^{47} - 1}{30}

3128573142495569_<16> × 170942984502845969696543_<24> × 773892718948740289245597142031_<30>

48:

\frac{31^{48} - 1}{30}

2⁸ × 3 × 7² × 13 × 17 × 19 × 37 × 97 × 331 × 409 × 1129 × 922561 × 25085030513_<11> × 852890113921_<12> × 7499207440683838894753_<22>

49:

\frac{31^{49} - 1}{30}

6959 × 917087137 × 62322419393153627851729037464684263699383389269055382039663_<59>

50:

\frac{31^{50} - 1}{30}

2⁵ × 5² × 11 × 41 × 101 × 1901 × 4951 × 17351 × 21821 × 4726301 × 13277801 × 20235942281002951_<17> × 74770514303869505101_<20>

51:

\frac{31^{51} - 1}{30}

3 × 331 × 1961163283 × 751670559138758105956097_<24> × 261116663697161542351918133573442849307_<39>

52:

\frac{31^{52} - 1}{30}

2⁶ × 13² × 37 × 53 × 17863 × 42407 × 2426789 × 7908811 × 116337521 × 76037563733_<11> × 42716694944587_<14> × 101686136508893_<15>

53:

\frac{31^{53} - 1}{30}

218149 × 2210276655188599_<16> × 1593405992841712852324481273_<28> × 478103814896755465120707905491_<30>

54:

\frac{31^{54} - 1}{30}

2⁵ × 3³ × 7² × 19 × 109 × 163 × 331 × 541 × 577 × 3637 × 6427 × 81343 × 1538083 × 18880993 × 599329963 × 1836205027201_<13> × 126901881805771_<15>

55:

\frac{31^{55} - 1}{30}

5 × 11² × 23 × 397 × 617 × 17351 × 150332843 × 167767051 × 236661696642275153056980146191674776616380367693641_<51>

56:

\frac{31^{56} - 1}{30}

2⁷ × 13 × 29 × 37 × 113 × 409 × 1129 × 7253 × 11971 × 13469 × 71821 × 277739477 × 917087137 × 36004683284137_<14> × 152490484148901066281_<21>

57:

\frac{31^{57} - 1}{30}

3 × 331 × 571 × 7639 × 14251 × 36068660903683_<14> × 88770666332610762169_<20> × 1716439847900062900800798410166938893_<37>

58:

\frac{31^{58} - 1}{30}

2⁵ × 59 × 349 × 10789 × 49823 × 1838659 × 1482570191 × 11242578713_<11> × 189343400041_<12> × 1671541885847_<13> × 3061037680116618496603_<22>

59:

\frac{31^{59} - 1}{30}

125693727758648407613_<21> × 2593612406801473161066888689957754830054017617439929433838873336053_<67>

60:

\frac{31^{60} - 1}{30}

2⁶ × 3 × 5 × 7² × 11 × 13 × 19 × 37 × 41 × 61 × 181 × 331 × 2521 × 17351 × 21821 × 25621 × 922561 × 1529401 × 327412201 × 4707206941_<10> × 304643210761_<12> × 880374069121_<12>

61:

\frac{31^{61} - 1}{30}

14519 × 50848444051_<11> × 12712081567468100953_<20> × 13578586277937589671409_<23> × 2458422198511222771859601111973397_<34>

62:

\frac{31^{62} - 1}{30}

2⁵ × 373 × 1613 × 62869 × 145577 × 35789156484227_<14> × 2706690202468649_<16> × 568972471024107865287021434301977158534824481_<45>

63:

\frac{31^{63} - 1}{30}

3² × 43 × 127 × 331 × 3637 × 6301 × 70309 × 81343 × 917087137 × 75077698123_<11> × 2813432694367_<13> × 728921581954037396189325850537700569_<36>

64:

\frac{31^{64} - 1}{30}

2¹⁰ × 13 × 17 × 37 × 409 × 1129 × 1889 × 4801 × 1347329 × 6139297 × 23277313 × 25085030513_<11> × 55107727353928381036964167246494350909954881_<44>

65:

\frac{31^{65} - 1}{30}

5 × 11 × 911 × 1951 × 17351 × 42407 × 2426789 × 7908811 × 31035996941_<11> × 5979236519649901_<16> × 1129363636895809892086303692627113871721_<40>

66:

\frac{31^{66} - 1}{30}

2⁵ × 3 × 7² × 19 × 23 × 67 × 331 × 397 × 617 × 297991 × 757241 × 150332843 × 1048563011 × 34731987261785578083133_<23> × 650141690025315305584300036801_<30>

67:

\frac{31^{67} - 1}{30}

882659 × 447772934301264047325373_<24> × 1334574386438395108609084044317_<31> × 527131117082818023708828465382157379763_<39>

68:

\frac{31^{68} - 1}{30}

2⁶ × 13 × 37 × 103 × 1399577 × 224499664484159761_<18> × 6841661642646463343047_<22> × 751670559138758105956097_<24> × 1682325489672499143634073_<25>

69:

\frac{31^{69} - 1}{30}

3 × 139 × 331 × 1164859 × 1509997 × 61562537 × 2553526979752336381_<19> × 7176374761323733117_<19> × 975573640291548852951234645170717556781_<39>

70:

\frac{31^{70} - 1}{30}

2⁵ × 5 × 11 × 41 × 71 × 11971 × 17351 × 21821 × 71821 × 319061 × 149269961 × 203633641 × 917087137 × 9240957640390889951861_<22> × 60427990638165876546967231_<26>

71:

\frac{31^{71} - 1}{30}

17609 × 611127785361198601_<18> × 642443809919609072204778169817_<30> × 37141302977105581064921322418772202338727337015016057_<53>

72:

\frac{31^{72} - 1}{30}

2⁷ × 3² × 7² × 13 × 19 × 37 × 73 × 331 × 409 × 577 × 1129 × 3637 × 81343 × 922561 × 1536553 × 1538083 × 4683817 × 512616735577_<12> × 852890113921_<12> × 1814503763676130449408979921_<28>

73:

\frac{31^{73} - 1}{30}

30223 × 122840087453_<12> × 197340338942587_<15> × 833039147209543_<15> × 404318326024801439191676313735836288644493580299053616879363447_<63>

74:

\frac{31^{74} - 1}{30}

2⁵ × 149 × 4219 × 152597832677_<12> × 257803457371_<12> × 386626708057_<12> × 52812493022953_<14> × 969963587051157584202299_<24> × 488064548082098022956156062559_<30>

75:

\frac{31^{75} - 1}{30}

3 × 5² × 11 × 101 × 151 × 331 × 2521 × 4951 × 17351 × 13277801 × 327412201 × 20235942281002951_<17> × 997936488044528101_<18> × 2994938361626916310097900969699892125851_<40>

76:

\frac{31^{76} - 1}{30}

2⁶ × 13 × 37 × 191 × 571 × 1217 × 14251 × 23126269 × 53489941 × 2491389137 × 88770666332610762169_<20> × 3545592640701962728192781_<25> × 130154580611883020628409201_<27>

77:

\frac{31^{77} - 1}{30}

23 × 397 × 617 × 2927 × 150332843 × 917087137 × 23503054499_<11> × 16169321243923_<14> × 263768160996144192120004532942855021486760529559458116494001319_<63>

78:

\frac{31^{78} - 1}{30}

2⁵ × 3 × 7² × 19 × 79² × 157 × 331 × 13807 × 17863 × 39703 × 42407 × 238213 × 2426789 × 7908811 × 42716694944587_<14> × 175500339130677572941801_<24> × 17123370267331917425544180721_<29>

79:

\frac{31^{79} - 1}{30}

317 × 279977 × 290879 × 32846285357_<11> × 9885529552310437_<16> × 26125966850815940841819460903165666556867136804500824658834737808083425862291_<77>

80:

\frac{31^{80} - 1}{30}

2⁸ × 5 × 11 × 13 × 17 × 37 × 41 × 181 × 409 × 1129 × 17351 × 21821 × 4707206941_<10> × 25085030513_<11> × 136046551681_<12> × 727422334085254365392641_<24> × 3889436310686727916228493162492361601_<37>

81:

\frac{31^{81} - 1}{30}

3⁴ × 331 × 2593 × 3637 × 13933 × 81343 × 477739 × 6757669 × 7822981 × 1836205027201_<13> × 126901881805771_<15> × 124796720050174992115146031610052568212932455637390989_<54>

82:

\frac{31^{82} - 1}{30}

2⁵ × 83 × 7066933486329661873_<19> × 42481797154433176612759_<23> × 132259604354473376342663326676479453_<36> × 61865491146216383674809135780235913078137_<41>

83:

\frac{31^{83} - 1}{30}

167 × 499 × 182933 × 40003511 × 74824336159_<11> × 51593443404264110239768071673_<29> × 85912184821599706072006943100214874792000179599875431278393402841_<65>

84:

\frac{31^{84} - 1}{30}

2⁶ × 3 × 7³ × 13 × 19 × 29 × 37 × 43 × 211 × 331 × 6301 × 7253 × 11971 × 13469 × 71821 × 922561 × 163598989 × 277739477 × 917087137 × 2813432694367_<13> × 4038949965541_<13> × 550469850411853_<15> × 939903457569889_<15>

85:

\frac{31^{85} - 1}{30}

5 × 11 × 17351 × 108971 × 391206807721_<12> × 21736504684553261_<17> × 751670559138758105956097_<24> × 292415865518548212725264181682005402545390163298379652017348311_<63>

86:

\frac{31^{86} - 1}{30}

2⁵ × 173 × 146982701137_<12> × 3049055684506560663410351046998584180840895763387409_<52> × 2428604265313757770804574128250982331185007279645995324037847_<61>

87:

\frac{31^{87} - 1}{30}

3 × 331 × 349 × 2437 × 10789 × 29581 × 49823 × 6226417 × 24589681 × 1482570191 × 11242578713_<11> × 19442411479_<11> × 189343400041_<12> × 1480537408333241006942871103432327233924912298742791_<52>

88:

\frac{31^{88} - 1}{30}

2⁷ × 13 × 23 × 37 × 89 × 397 × 409 × 617 × 1129 × 2729 × 757241 × 150332843 × 1048563011 × 414407390867564627396249_<24> × 245911396799577828131028569_<27> × 12236290645201501169749559350025041_<35>

89:

\frac{31^{89} - 1}{30}

179 × 1476511 × 194382021317865834077_<21> × 1895009826287880923167_<22> × 1843793240833772195527188715497235054748361154878687143137366939289518721748165239_<82>

90:

\frac{31^{90} - 1}{30}

2⁵ × 3² × 5 × 7² × 11 × 19 × 41 × 271 × 331 × 577 × 2521 × 3637 × 17351 × 21821 × 63901 × 81343 × 106291 × 1538083 × 2065411 × 327412201 × 880374069121_<12> × 337048683633480845467801_<24> × 300392264044249601502733598251_<30>

91:

\frac{31^{91} - 1}{30}

2549 × 42407 × 1661479 × 2426789 × 7908811 × 917087137 × 473516688426601_<15> × 1122399563430440797573237387545143_<34> × 102672478567468007638784142574112507144367962863477_<51>

92:

\frac{31^{92} - 1}{30}

2⁶ × 13 × 37 × 47 × 829 × 1509997 × 61562537 × 45414448613_<11> × 1955865713101_<13> × 23856848059764277_<17> × 7176374761323733117_<19> × 293006379555093281221_<21> × 10763566930771147012087186194382117_<35>

93:

\frac{31^{93} - 1}{30}

3 × 331 × 15799367012336491417_<20> × 583404661652480206661058499237_<30> × 31832165679517520595753203434274069882869_<41> × 568972471024107865287021434301977158534824481_<45>

94:

\frac{31^{94} - 1}{30}

2⁵ × 659 × 20681 × 322825141 × 3128573142495569_<16> × 170942984502845969696543_<24> × 773892718948740289245597142031_<30> × 88191216508702589699784765539165129720664028300782169_<53>

95:

\frac{31^{95} - 1}{30}

5 × 11 × 571 × 14251 × 17351 × 793926617318201_<15> × 88770666332610762169_<20> × 291085900456038886134880893459441846658670815367779265015895596556789125915380655528060127881_<93>

96:

\frac{31^{96} - 1}{30}

2⁹ × 3 × 7² × 13 × 17 × 19 × 37 × 97 × 193 × 331 × 409 × 1129 × 1889 × 7393 × 922561 × 1347329 × 6139297 × 23277313 × 25085030513_<11> × 852890113921_<12> × 27333034608226177_<17> × 7499207440683838894753_<22> × 13567765732542221348764897_<26>

97:

\frac{31^{97} - 1}{30}

4657 × 14551 × 51217 × 116283302684682499_<18> × 30659415876357956268132360096641321155619_<41> × 12372817230444311573872645866104046378249477418408178679129943085048630543_<74>

98:

\frac{31^{98} - 1}{30}

2⁵ × 6959 × 11971 × 71821 × 917087137 × 2932755253 × 147882001432537751112306358052999119715341090542830827_<54> × 62322419393153627851729037464684263699383389269055382039663_<59>

99:

\frac{31^{99} - 1}{30}

3² × 23 × 199 × 331 × 397 × 617 × 991 × 3637 × 81343 × 204733 × 150332843 × 36093579787_<11> × 294573316951_<12> × 215792743120601131_<18> × 3763784187326467459_<19> × 869535983092745596321_<21> × 650141690025315305584300036801_<30>

Base 31 Repunits

Table

0:	$\frac{31^{0} - 1}{30}$	0
1:	$\frac{31^{1} - 1}{30}$	1
2:	$\frac{31^{2} - 1}{30}$	2⁵
3:	$\frac{31^{3} - 1}{30}$	3 × 331
4:	$\frac{31^{4} - 1}{30}$	2⁶ × 13 × 37
5:	$\frac{31^{5} - 1}{30}$	5 × 11 × 17351
6:	$\frac{31^{6} - 1}{30}$	2⁵ × 3 × 7² × 19 × 331
7:	$\frac{31^{7} - 1}{30}$	917087137
8:	$\frac{31^{8} - 1}{30}$	2⁷ × 13 × 37 × 409 × 1129
9:	$\frac{31^{9} - 1}{30}$	3² × 331 × 3637 × 81343
10:	$\frac{31^{10} - 1}{30}$	2⁵ × 5 × 11 × 41 × 17351 × 21821
11:	$\frac{31^{11} - 1}{30}$	23 × 397 × 617 × 150332843
12:	$\frac{31^{12} - 1}{30}$	2⁶ × 3 × 7² × 13 × 19 × 37 × 331 × 922561
13:	$\frac{31^{13} - 1}{30}$	42407 × 2426789 × 7908811
14:	$\frac{31^{14} - 1}{30}$	2⁵ × 11971 × 71821 × 917087137
15:	$\frac{31^{15} - 1}{30}$	3 × 5 × 11 × 331 × 2521 × 17351 × 327412201
16:	$\frac{31^{16} - 1}{30}$	2⁸ × 13 × 17 × 37 × 409 × 1129 × 25085030513_<11>
17:	$\frac{31^{17} - 1}{30}$	751670559138758105956097_<24>
18:	$\frac{31^{18} - 1}{30}$	2⁵ × 3² × 7² × 19 × 331 × 577 × 3637 × 81343 × 1538083
19:	$\frac{31^{19} - 1}{30}$	571 × 14251 × 88770666332610762169_<20>
20:	$\frac{31^{20} - 1}{30}$	2⁶ × 5 × 11 × 13 × 37 × 41 × 181 × 17351 × 21821 × 4707206941_<10>
21:	$\frac{31^{21} - 1}{30}$	3 × 43 × 331 × 6301 × 917087137 × 2813432694367_<13>
22:	$\frac{31^{22} - 1}{30}$	2⁵ × 23 × 397 × 617 × 757241 × 150332843 × 1048563011
23:	$\frac{31^{23} - 1}{30}$	1509997 × 61562537 × 7176374761323733117_<19>
24:	$\frac{31^{24} - 1}{30}$	2⁷ × 3 × 7² × 13 × 19 × 37 × 331 × 409 × 1129 × 922561 × 852890113921_<12>
25:	$\frac{31^{25} - 1}{30}$	5² × 11 × 101 × 4951 × 17351 × 13277801 × 20235942281002951_<17>
26:	$\frac{31^{26} - 1}{30}$	2⁵ × 17863 × 42407 × 2426789 × 7908811 × 42716694944587_<14>
27:	$\frac{31^{27} - 1}{30}$	3³ × 331 × 3637 × 81343 × 1836205027201_<13> × 126901881805771_<15>
28:	$\frac{31^{28} - 1}{30}$	2⁶ × 13 × 29 × 37 × 7253 × 11971 × 13469 × 71821 × 277739477 × 917087137
29:	$\frac{31^{29} - 1}{30}$	349 × 10789 × 49823 × 1482570191 × 11242578713_<11> × 189343400041_<12>
30:	$\frac{31^{30} - 1}{30}$	2⁵ × 3 × 5 × 7² × 11 × 19 × 41 × 331 × 2521 × 17351 × 21821 × 327412201 × 880374069121_<12>
31:	$\frac{31^{31} - 1}{30}$	568972471024107865287021434301977158534824481_<45>
32:	$\frac{31^{32} - 1}{30}$	2⁹ × 13 × 17 × 37 × 409 × 1129 × 1889 × 1347329 × 6139297 × 23277313 × 25085030513_<11>
33:	$\frac{31^{33} - 1}{30}$	3 × 23 × 331 × 397 × 617 × 150332843 × 650141690025315305584300036801_<30>
34:	$\frac{31^{34} - 1}{30}$	2⁵ × 103 × 6841661642646463343047_<22> × 751670559138758105956097_<24>
35:	$\frac{31^{35} - 1}{30}$	5 × 11 × 17351 × 319061 × 203633641 × 917087137 × 9240957640390889951861_<22>
36:	$\frac{31^{36} - 1}{30}$	2⁶ × 3² × 7² × 13 × 19 × 37 × 331 × 577 × 3637 × 81343 × 922561 × 1536553 × 1538083 × 512616735577_<12>
37:	$\frac{31^{37} - 1}{30}$	149 × 4219 × 152597832677_<12> × 257803457371_<12> × 386626708057_<12> × 52812493022953_<14>
38:	$\frac{31^{38} - 1}{30}$	2⁵ × 191 × 571 × 14251 × 88770666332610762169_<20> × 3545592640701962728192781_<25>
39:	$\frac{31^{39} - 1}{30}$	3 × 79² × 331 × 13807 × 39703 × 42407 × 2426789 × 7908811 × 175500339130677572941801_<24>
40:	$\frac{31^{40} - 1}{30}$	2⁷ × 5 × 11 × 13 × 37 × 41 × 181 × 409 × 1129 × 17351 × 21821 × 4707206941_<10> × 727422334085254365392641_<24>
41:	$\frac{31^{41} - 1}{30}$	83 × 42481797154433176612759_<23> × 132259604354473376342663326676479453_<36>
42:	$\frac{31^{42} - 1}{30}$	2⁵ × 3 × 7³ × 19 × 43 × 211 × 331 × 6301 × 11971 × 71821 × 917087137 × 2813432694367_<13> × 550469850411853_<15>
43:	$\frac{31^{43} - 1}{30}$	146982701137_<12> × 3049055684506560663410351046998584180840895763387409_<52>
44:	$\frac{31^{44} - 1}{30}$	2⁶ × 13 × 23 × 37 × 397 × 617 × 2729 × 757241 × 150332843 × 1048563011 × 245911396799577828131028569_<27>
45:	$\frac{31^{45} - 1}{30}$	3² × 5 × 11 × 271 × 331 × 2521 × 3637 × 17351 × 63901 × 81343 × 106291 × 327412201 × 337048683633480845467801_<24>
46:	$\frac{31^{46} - 1}{30}$	2⁵ × 47 × 1509997 × 61562537 × 45414448613_<11> × 7176374761323733117_<19> × 293006379555093281221_<21>
47:	$\frac{31^{47} - 1}{30}$	3128573142495569_<16> × 170942984502845969696543_<24> × 773892718948740289245597142031_<30>
48:	$\frac{31^{48} - 1}{30}$	2⁸ × 3 × 7² × 13 × 17 × 19 × 37 × 97 × 331 × 409 × 1129 × 922561 × 25085030513_<11> × 852890113921_<12> × 7499207440683838894753_<22>
49:	$\frac{31^{49} - 1}{30}$	6959 × 917087137 × 62322419393153627851729037464684263699383389269055382039663_<59>
50:	$\frac{31^{50} - 1}{30}$	2⁵ × 5² × 11 × 41 × 101 × 1901 × 4951 × 17351 × 21821 × 4726301 × 13277801 × 20235942281002951_<17> × 74770514303869505101_<20>
51:	$\frac{31^{51} - 1}{30}$	3 × 331 × 1961163283 × 751670559138758105956097_<24> × 261116663697161542351918133573442849307_<39>
52:	$\frac{31^{52} - 1}{30}$	2⁶ × 13² × 37 × 53 × 17863 × 42407 × 2426789 × 7908811 × 116337521 × 76037563733_<11> × 42716694944587_<14> × 101686136508893_<15>
53:	$\frac{31^{53} - 1}{30}$	218149 × 2210276655188599_<16> × 1593405992841712852324481273_<28> × 478103814896755465120707905491_<30>
54:	$\frac{31^{54} - 1}{30}$	2⁵ × 3³ × 7² × 19 × 109 × 163 × 331 × 541 × 577 × 3637 × 6427 × 81343 × 1538083 × 18880993 × 599329963 × 1836205027201_<13> × 126901881805771_<15>
55:	$\frac{31^{55} - 1}{30}$	5 × 11² × 23 × 397 × 617 × 17351 × 150332843 × 167767051 × 236661696642275153056980146191674776616380367693641_<51>
56:	$\frac{31^{56} - 1}{30}$	2⁷ × 13 × 29 × 37 × 113 × 409 × 1129 × 7253 × 11971 × 13469 × 71821 × 277739477 × 917087137 × 36004683284137_<14> × 152490484148901066281_<21>
57:	$\frac{31^{57} - 1}{30}$	3 × 331 × 571 × 7639 × 14251 × 36068660903683_<14> × 88770666332610762169_<20> × 1716439847900062900800798410166938893_<37>
58:	$\frac{31^{58} - 1}{30}$	2⁵ × 59 × 349 × 10789 × 49823 × 1838659 × 1482570191 × 11242578713_<11> × 189343400041_<12> × 1671541885847_<13> × 3061037680116618496603_<22>
59:	$\frac{31^{59} - 1}{30}$	125693727758648407613_<21> × 2593612406801473161066888689957754830054017617439929433838873336053_<67>
60:	$\frac{31^{60} - 1}{30}$	2⁶ × 3 × 5 × 7² × 11 × 13 × 19 × 37 × 41 × 61 × 181 × 331 × 2521 × 17351 × 21821 × 25621 × 922561 × 1529401 × 327412201 × 4707206941_<10> × 304643210761_<12> × 880374069121_<12>
61:	$\frac{31^{61} - 1}{30}$	14519 × 50848444051_<11> × 12712081567468100953_<20> × 13578586277937589671409_<23> × 2458422198511222771859601111973397_<34>
62:	$\frac{31^{62} - 1}{30}$	2⁵ × 373 × 1613 × 62869 × 145577 × 35789156484227_<14> × 2706690202468649_<16> × 568972471024107865287021434301977158534824481_<45>
63:	$\frac{31^{63} - 1}{30}$	3² × 43 × 127 × 331 × 3637 × 6301 × 70309 × 81343 × 917087137 × 75077698123_<11> × 2813432694367_<13> × 728921581954037396189325850537700569_<36>
64:	$\frac{31^{64} - 1}{30}$	2¹⁰ × 13 × 17 × 37 × 409 × 1129 × 1889 × 4801 × 1347329 × 6139297 × 23277313 × 25085030513_<11> × 55107727353928381036964167246494350909954881_<44>
65:	$\frac{31^{65} - 1}{30}$	5 × 11 × 911 × 1951 × 17351 × 42407 × 2426789 × 7908811 × 31035996941_<11> × 5979236519649901_<16> × 1129363636895809892086303692627113871721_<40>
66:	$\frac{31^{66} - 1}{30}$	2⁵ × 3 × 7² × 19 × 23 × 67 × 331 × 397 × 617 × 297991 × 757241 × 150332843 × 1048563011 × 34731987261785578083133_<23> × 650141690025315305584300036801_<30>
67:	$\frac{31^{67} - 1}{30}$	882659 × 447772934301264047325373_<24> × 1334574386438395108609084044317_<31> × 527131117082818023708828465382157379763_<39>
68:	$\frac{31^{68} - 1}{30}$	2⁶ × 13 × 37 × 103 × 1399577 × 224499664484159761_<18> × 6841661642646463343047_<22> × 751670559138758105956097_<24> × 1682325489672499143634073_<25>
69:	$\frac{31^{69} - 1}{30}$	3 × 139 × 331 × 1164859 × 1509997 × 61562537 × 2553526979752336381_<19> × 7176374761323733117_<19> × 975573640291548852951234645170717556781_<39>
70:	$\frac{31^{70} - 1}{30}$	2⁵ × 5 × 11 × 41 × 71 × 11971 × 17351 × 21821 × 71821 × 319061 × 149269961 × 203633641 × 917087137 × 9240957640390889951861_<22> × 60427990638165876546967231_<26>
71:	$\frac{31^{71} - 1}{30}$	17609 × 611127785361198601_<18> × 642443809919609072204778169817_<30> × 37141302977105581064921322418772202338727337015016057_<53>
72:	$\frac{31^{72} - 1}{30}$	2⁷ × 3² × 7² × 13 × 19 × 37 × 73 × 331 × 409 × 577 × 1129 × 3637 × 81343 × 922561 × 1536553 × 1538083 × 4683817 × 512616735577_<12> × 852890113921_<12> × 1814503763676130449408979921_<28>
73:	$\frac{31^{73} - 1}{30}$	30223 × 122840087453_<12> × 197340338942587_<15> × 833039147209543_<15> × 404318326024801439191676313735836288644493580299053616879363447_<63>
74:	$\frac{31^{74} - 1}{30}$	2⁵ × 149 × 4219 × 152597832677_<12> × 257803457371_<12> × 386626708057_<12> × 52812493022953_<14> × 969963587051157584202299_<24> × 488064548082098022956156062559_<30>
75:	$\frac{31^{75} - 1}{30}$	3 × 5² × 11 × 101 × 151 × 331 × 2521 × 4951 × 17351 × 13277801 × 327412201 × 20235942281002951_<17> × 997936488044528101_<18> × 2994938361626916310097900969699892125851_<40>
76:	$\frac{31^{76} - 1}{30}$	2⁶ × 13 × 37 × 191 × 571 × 1217 × 14251 × 23126269 × 53489941 × 2491389137 × 88770666332610762169_<20> × 3545592640701962728192781_<25> × 130154580611883020628409201_<27>
77:	$\frac{31^{77} - 1}{30}$	23 × 397 × 617 × 2927 × 150332843 × 917087137 × 23503054499_<11> × 16169321243923_<14> × 263768160996144192120004532942855021486760529559458116494001319_<63>
78:	$\frac{31^{78} - 1}{30}$	2⁵ × 3 × 7² × 19 × 79² × 157 × 331 × 13807 × 17863 × 39703 × 42407 × 238213 × 2426789 × 7908811 × 42716694944587_<14> × 175500339130677572941801_<24> × 17123370267331917425544180721_<29>
79:	$\frac{31^{79} - 1}{30}$	317 × 279977 × 290879 × 32846285357_<11> × 9885529552310437_<16> × 26125966850815940841819460903165666556867136804500824658834737808083425862291_<77>
80:	$\frac{31^{80} - 1}{30}$	2⁸ × 5 × 11 × 13 × 17 × 37 × 41 × 181 × 409 × 1129 × 17351 × 21821 × 4707206941_<10> × 25085030513_<11> × 136046551681_<12> × 727422334085254365392641_<24> × 3889436310686727916228493162492361601_<37>
81:	$\frac{31^{81} - 1}{30}$	3⁴ × 331 × 2593 × 3637 × 13933 × 81343 × 477739 × 6757669 × 7822981 × 1836205027201_<13> × 126901881805771_<15> × 124796720050174992115146031610052568212932455637390989_<54>
82:	$\frac{31^{82} - 1}{30}$	2⁵ × 83 × 7066933486329661873_<19> × 42481797154433176612759_<23> × 132259604354473376342663326676479453_<36> × 61865491146216383674809135780235913078137_<41>
83:	$\frac{31^{83} - 1}{30}$	167 × 499 × 182933 × 40003511 × 74824336159_<11> × 51593443404264110239768071673_<29> × 85912184821599706072006943100214874792000179599875431278393402841_<65>
84:	$\frac{31^{84} - 1}{30}$	2⁶ × 3 × 7³ × 13 × 19 × 29 × 37 × 43 × 211 × 331 × 6301 × 7253 × 11971 × 13469 × 71821 × 922561 × 163598989 × 277739477 × 917087137 × 2813432694367_<13> × 4038949965541_<13> × 550469850411853_<15> × 939903457569889_<15>
85:	$\frac{31^{85} - 1}{30}$	5 × 11 × 17351 × 108971 × 391206807721_<12> × 21736504684553261_<17> × 751670559138758105956097_<24> × 292415865518548212725264181682005402545390163298379652017348311_<63>
86:	$\frac{31^{86} - 1}{30}$	2⁵ × 173 × 146982701137_<12> × 3049055684506560663410351046998584180840895763387409_<52> × 2428604265313757770804574128250982331185007279645995324037847_<61>
87:	$\frac{31^{87} - 1}{30}$	3 × 331 × 349 × 2437 × 10789 × 29581 × 49823 × 6226417 × 24589681 × 1482570191 × 11242578713_<11> × 19442411479_<11> × 189343400041_<12> × 1480537408333241006942871103432327233924912298742791_<52>
88:	$\frac{31^{88} - 1}{30}$	2⁷ × 13 × 23 × 37 × 89 × 397 × 409 × 617 × 1129 × 2729 × 757241 × 150332843 × 1048563011 × 414407390867564627396249_<24> × 245911396799577828131028569_<27> × 12236290645201501169749559350025041_<35>
89:	$\frac{31^{89} - 1}{30}$	179 × 1476511 × 194382021317865834077_<21> × 1895009826287880923167_<22> × 1843793240833772195527188715497235054748361154878687143137366939289518721748165239_<82>
90:	$\frac{31^{90} - 1}{30}$	2⁵ × 3² × 5 × 7² × 11 × 19 × 41 × 271 × 331 × 577 × 2521 × 3637 × 17351 × 21821 × 63901 × 81343 × 106291 × 1538083 × 2065411 × 327412201 × 880374069121_<12> × 337048683633480845467801_<24> × 300392264044249601502733598251_<30>
91:	$\frac{31^{91} - 1}{30}$	2549 × 42407 × 1661479 × 2426789 × 7908811 × 917087137 × 473516688426601_<15> × 1122399563430440797573237387545143_<34> × 102672478567468007638784142574112507144367962863477_<51>
92:	$\frac{31^{92} - 1}{30}$	2⁶ × 13 × 37 × 47 × 829 × 1509997 × 61562537 × 45414448613_<11> × 1955865713101_<13> × 23856848059764277_<17> × 7176374761323733117_<19> × 293006379555093281221_<21> × 10763566930771147012087186194382117_<35>
93:	$\frac{31^{93} - 1}{30}$	3 × 331 × 15799367012336491417_<20> × 583404661652480206661058499237_<30> × 31832165679517520595753203434274069882869_<41> × 568972471024107865287021434301977158534824481_<45>
94:	$\frac{31^{94} - 1}{30}$	2⁵ × 659 × 20681 × 322825141 × 3128573142495569_<16> × 170942984502845969696543_<24> × 773892718948740289245597142031_<30> × 88191216508702589699784765539165129720664028300782169_<53>
95:	$\frac{31^{95} - 1}{30}$	5 × 11 × 571 × 14251 × 17351 × 793926617318201_<15> × 88770666332610762169_<20> × 291085900456038886134880893459441846658670815367779265015895596556789125915380655528060127881_<93>
96:	$\frac{31^{96} - 1}{30}$	2⁹ × 3 × 7² × 13 × 17 × 19 × 37 × 97 × 193 × 331 × 409 × 1129 × 1889 × 7393 × 922561 × 1347329 × 6139297 × 23277313 × 25085030513_<11> × 852890113921_<12> × 27333034608226177_<17> × 7499207440683838894753_<22> × 13567765732542221348764897_<26>
97:	$\frac{31^{97} - 1}{30}$	4657 × 14551 × 51217 × 116283302684682499_<18> × 30659415876357956268132360096641321155619_<41> × 12372817230444311573872645866104046378249477418408178679129943085048630543_<74>
98:	$\frac{31^{98} - 1}{30}$	2⁵ × 6959 × 11971 × 71821 × 917087137 × 2932755253 × 147882001432537751112306358052999119715341090542830827_<54> × 62322419393153627851729037464684263699383389269055382039663_<59>
99:	$\frac{31^{99} - 1}{30}$	3² × 23 × 199 × 331 × 397 × 617 × 991 × 3637 × 81343 × 204733 × 150332843 × 36093579787_<11> × 294573316951_<12> × 215792743120601131_<18> × 3763784187326467459_<19> × 869535983092745596321_<21> × 650141690025315305584300036801_<30>