tables

0:

\[{28^{0}-1\over27}\]

0

1:

\[{28^{1}-1\over27}\]

1

2:

\[{28^{2}-1\over27}\]

29

3:

\[{28^{3}-1\over27}\]

3 × 271

4:

\[{28^{4}-1\over27}\]

5 × 29 × 157

5:

\[{28^{5}-1\over27}\]

637421

6:

\[{28^{6}-1\over27}\]

3 × 29 × 271 × 757

7:

\[{28^{7}-1\over27}\]

113 × 4422461

8:

\[{28^{8}-1\over27}\]

5 × 29 × 157 × 614657

9:

\[{28^{9}-1\over27}\]

3² × 19² × 271 × 444979

10:

\[{28^{10}-1\over27}\]

11 × 29 × 53951 × 637421

11:

\[{28^{11}-1\over27}\]

6077039 × 50545507

12:

\[{28^{12}-1\over27}\]

3 × 5 × 13 × 29 × 157 × 271 × 757 × 47221

13:

\[{28^{13}-1\over27}\]

53 × 4543753614603737_<16>

14:

\[{28^{14}-1\over27}\]

29 × 113 × 13007 × 35771 × 4422461

15:

\[{28^{15}-1\over27}\]

3 × 31 × 271 × 15991 × 637421 × 734941

16:

\[{28^{16}-1\over27}\]

5 × 17 × 29 × 157 × 614657 × 22223646961_<11>

17:

\[{28^{17}-1\over27}\]

148020807352107352204781_<24>

18:

\[{28^{18}-1\over27}\]

3² × 19² × 29 × 37 × 127 × 271 × 757 × 102547 × 444979

19:

\[{28^{19}-1\over27}\]

21084187 × 5504044949138999959_<19>

20:

\[{28^{20}-1\over27}\]

5² × 11 × 29 × 61 × 157 × 14561 × 53951 × 84961 × 637421

21:

\[{28^{21}-1\over27}\]

3 × 113 × 271 × 4422461 × 223934956756993189_<18>

22:

\[{28^{22}-1\over27}\]

23² × 29 × 6077039 × 50545507 × 540610746853_<12>

23:

\[{28^{23}-1\over27}\]

47 × 1517655145813456319033978812579_<31>

24:

\[{28^{24}-1\over27}\]

3 × 5 × 13 × 29 × 157 × 271 × 757 × 7321 × 47221 × 614657 × 51605161

25:

\[{28^{25}-1\over27}\]

15101 × 106801 × 637421 × 6813064001_<10> × 7984305701_<10>

26:

\[{28^{26}-1\over27}\]

29 × 53 × 547 × 2237 × 114661 × 1598039 × 4543753614603737_<16>

27:

\[{28^{27}-1\over27}\]

3³ × 19² × 271 × 541 × 444979 × 68948693997660959163751_<23>

28:

\[{28^{28}-1\over27}\]

5 × 29 × 113 × 157 × 281 × 13007 × 35771 × 749729 × 4422461 × 1100860153

29:

\[{28^{29}-1\over27}\]

59 × 582595509837473004489665028935473297399_<39>

30:

\[{28^{30}-1\over27}\]

3 × 11 × 29 × 31 × 271 × 757 × 4621 × 15991 × 53951 × 637421 × 734941 × 84673681

31:

\[{28^{31}-1\over27}\]

10789 × 1675799 × 14307617 × 104175305182941687128096479_<27>

32:

\[{28^{32}-1\over27}\]

5 × 17 × 29 × 97 × 157 × 614657 × 2012449 × 4338337 × 168542177 × 22223646961_<11>

33:

\[{28^{33}-1\over27}\]

3 × 199 × 271 × 6077039 × 50545507 × 425141076149786955572181811_<27>

34:

\[{28^{34}-1\over27}\]

29 × 239 × 613 × 2347 × 8807 × 45508138747_<11> × 148020807352107352204781_<24>

35:

\[{28^{35}-1\over27}\]

113 × 2521 × 206501 × 637421 × 4422461 × 99885743242098024883367081_<26>

36:

\[{28^{36}-1\over27}\]

3² × 5 × 13 × 19² × 29 × 37 × 127 × 157 × 271 × 757 × 24481 × 47221 × 50221 × 102547 × 444979 × 188878213

37:

\[{28^{37}-1\over27}\]

149 × 223 × 1481 × 20129 × 36129368689_<11> × 362872981217703889717460874623_<30>

38:

\[{28^{38}-1\over27}\]

29 × 21084187 × 5504044949138999959_<19> × 108044981035496842464510517_<27>

39:

\[{28^{39}-1\over27}\]

3 × 53 × 271 × 1483 × 1951 × 219386077 × 4543753614603737_<16> × 81923931656777716741_<20>

40:

\[{28^{40}-1\over27}\]

5² × 11 × 29 × 41 × 61 × 157 × 14561 × 29201 × 41641 × 53951 × 84961 × 614657 × 637421 × 2863024493281_<13>

41:

\[{28^{41}-1\over27}\]

83 × 821 × 801469 × 32512427 × 4495294535482012470972518309284152114589_<40>

42:

\[{28^{42}-1\over27}\]

3 × 29 × 43 × 113 × 271 × 631 × 757 × 2269 × 13007 × 29443 × 35771 × 132679 × 4422461 × 223934956756993189_<18>

43:

\[{28^{43}-1\over27}\]

3613 × 60029 × 684217 × 105942074311_<12> × 23321405465263_<14> × 17068111104046291434149_<23>

44:

\[{28^{44}-1\over27}\]

5 × 23² × 29 × 157 × 27017 × 135433 × 6077039 × 50545507 × 540610746853_<12> × 23946685543873549601_<20>

45:

\[{28^{45}-1\over27}\]

3² × 19² × 31 × 271 × 15991 × 444979 × 637421 × 734941 × 48403441 × 1114029602365666612314868561_<28>

46:

\[{28^{46}-1\over27}\]

29 × 47 × 115152031 × 140668620541_<12> × 4099849287367_<13> × 1517655145813456319033978812579_<31>

47:

\[{28^{47}-1\over27}\]

6299 × 24128861 × 21277176429749_<14> × 3425165712672937943_<19> × 347263946374443738653441_<24>

48:

\[{28^{48}-1\over27}\]

3 × 5 × 13 × 17 × 29 × 157 × 193 × 271 × 757 × 7321 × 47221 × 59809 × 614657 × 33806737 × 51605161 × 365764369 × 22223646961_<11>

49:

\[{28^{49}-1\over27}\]

113 × 197 × 2155609 × 4422461 × 319343666713_<12> × 44498235948084746667439513476081194102813_<41>

50:

\[{28^{50}-1\over27}\]

11 × 29 × 151 × 15101 × 53951 × 106801 × 637421 × 2606251 × 6813064001_<10> × 7984305701_<10> × 222929435014083414901_<21>

51:

\[{28^{51}-1\over27}\]

3 × 103 × 271 × 57427 × 8061059901399457_<16> × 148020807352107352204781_<24> × 412037760199357579738273_<24>

52:

\[{28^{52}-1\over27}\]

5 × 29 × 53 × 157 × 547 × 2237 × 114661 × 1598039 × 78296083533149_<14> × 4543753614603737_<16> × 687858517721621226917_<21>

53:

\[{28^{53}-1\over27}\]

220187971 × 8418181933268901359893212846689066832649574728174313094689465758991_<67>

54:

\[{28^{54}-1\over27}\]

3³ × 19² × 29 × 37 × 109 × 127 × 163 × 271 × 541 × 757 × 102547 × 444979 × 2320484707 × 2714261904253_<13> × 68948693997660959163751_<23>

55:

\[{28^{55}-1\over27}\]

637421 × 6077039 × 50545507 × 16071033331_<11> × 829366011211_<12> × 94275090945167441_<17> × 5906633396655970661_<19>

56:

\[{28^{56}-1\over27}\]

5 × 29 × 113 × 157 × 281 × 449 × 13007 × 23633 × 35771 × 614657 × 749729 × 4422461 × 54034289 × 213827041 × 1100860153 × 439840060577_<12>

57:

\[{28^{57}-1\over27}\]

3 × 271 × 457 × 90403 × 21084187 × 62830837877749_<14> × 5504044949138999959_<19> × 4652032620781659567810280156291_<31>

58:

\[{28^{58}-1\over27}\]

29² × 59 × 40427 × 1074509 × 25404189355843522469778697943_<29> × 582595509837473004489665028935473297399_<39>

59:

\[{28^{59}-1\over27}\]

1063 × 87134177825869551823_<20> × 9643579894368157824900039911930865360964315755820145323893317_<61>

60:

\[{28^{60}-1\over27}\]

3 × 5² × 11 × 13 × 29 × 31 × 61 × 157 × 271 × 757 × 1861 × 4621 × 14561 × 15991 × 45541 × 47221 × 53951 × 84961 × 637421 × 734941 × 2449561 × 84673681 × 688406401

61:

\[{28^{61}-1\over27}\]

584814157619_<12> × 108152440326426913_<18> × 11071894699054087656875578952698529117084924031399006144383_<59>

62:

\[{28^{62}-1\over27}\]

29 × 1303 × 10789 × 1675799 × 14307617 × 68690971367_<11> × 104175305182941687128096479_<27> × 280321817417013527271954418037_<30>

63:

\[{28^{63}-1\over27}\]

3² × 19² × 113 × 271 × 1009 × 444979 × 4422461 × 223934956756993189_<18> × 154154940307497300453157_<24> × 80504606285644335564853693_<26>

64:

\[{28^{64}-1\over27}\]

5 × 17 × 29 × 97 × 157 × 614657 × 2012449 × 4338337 × 7734913 × 13430849 × 168542177 × 22223646961_<11> × 2716827163186049_<16> × 72183193582863809_<17>

65:

\[{28^{65}-1\over27}\]

53 × 131 × 637421 × 72416371 × 4543753614603737_<16> × 90216355836698261_<17> × 3276407634171096216610291054196844397042681_<43>

66:

\[{28^{66}-1\over27}\]

3 × 23² × 29 × 67 × 199 × 271 × 757 × 2377 × 365773 × 6077039 × 50545507 × 212170597 × 7351568071_<10> × 540610746853_<12> × 425141076149786955572181811_<27>

67:

\[{28^{67}-1\over27}\]

39629149774235919086803410436533512071_<38> × 8515488777545809574252900816572650580619264994750394645483_<58>

68:

\[{28^{68}-1\over27}\]

5 × 29 × 137 × 157 × 239 × 613 × 2347 × 8807 × 33049 × 45508138747_<11> × 148020807352107352204781_<24> × 4493911532793397608107303677360753164689_<40>

69:

\[{28^{69}-1\over27}\]

3 × 47 × 139 × 271 × 277 × 224727078564911869_<18> × 1517655145813456319033978812579_<31> × 527264972197836529557199851838274216840527_<42>

70:

\[{28^{70}-1\over27}\]

11 × 29 × 71 × 113 × 211 × 2521 × 13007 × 35771 × 53951 × 59221 × 206501 × 637421 × 4422461 × 31384274881_<11> × 2005875869991701_<16> × 99885743242098024883367081_<26>

71:

\[{28^{71}-1\over27}\]

25828494169_<11> × 37313251966817_<14> × 857600610882384989993501_<24> × 250962707786649416977683047545011125829975942346091801_<54>

72:

\[{28^{72}-1\over27}\]

3² × 5 × 13 × 19² × 29 × 37 × 73 × 127 × 157 × 271 × 757 × 7129 × 7321 × 24481 × 47221 × 50221 × 102547 × 444979 × 614657 × 51605161 × 188878213 × 343785529 × 301407243681066768937_<21>

73:

\[{28^{73}-1\over27}\]

439 × 1924218827 × 1395719566812246425341583_<25> × 33669332701243432328246627927_<29> × 4096574600013882571943794643612275539257_<40>

74:

\[{28^{74}-1\over27}\]

29 × 149 × 223 × 1481 × 20129 × 36129368689_<11> × 1004690609843_<13> × 362872981217703889717460874623_<30> × 12034188740195053379860324023109474023287_<41>

75:

\[{28^{75}-1\over27}\]

3 × 31 × 271 × 15101 × 15991 × 36901 × 106801 × 637421 × 734941 × 6813064001_<10> × 7984305701_<10> × 171813927594772108174052851_<27> × 1214016885302580230773187551_<28>

76:

\[{28^{76}-1\over27}\]

5 × 29 × 157 × 10653073 × 21084187 × 4295845129_<10> × 47560093775549_<14> × 5504044949138999959_<19> × 5746048837796495176973_<22> × 108044981035496842464510517_<27>

77:

\[{28^{77}-1\over27}\]

113 × 4422461 × 6077039 × 50545507 × 15215787226333_<14> × 8043246179584357573185817_<25> × 5320614889323243834845114570091316426473321807889_<49>

78:

\[{28^{78}-1\over27}\]

3 × 29 × 53 × 79 × 271 × 547 × 757 × 1483 × 1951 × 2237 × 114661 × 284467 × 1598039 × 219386077 × 4543753614603737_<16> × 81923931656777716741_<20> × 2485157691702736928051924257_<28>

79:

\[{28^{79}-1\over27}\]

317 × 419483839 × 589313263529964782995329801507579750620293837153256673100250966378714860373275073567118363081027037391_<102>

80:

\[{28^{80}-1\over27}\]

5² × 11 × 17 × 29 × 41 × 61 × 157 × 241 × 14561 × 15601 × 29201 × 41641 × 53951 × 84961 × 614657 × 637421 × 22223646961_<11> × 2863024493281_<13> × 4411542432420060881_<19> × 1228279101647209944401_<22>

81:

\[{28^{81}-1\over27}\]

3⁴ × 19² × 271 × 541 × 444979 × 68948693997660959163751_<23> × 467102764647624870534174882972667122829050205740085854715337092963516619074219_<78>

82:

\[{28^{82}-1\over27}\]

29 × 83 × 821 × 801469 × 32512427 × 9048878843_<10> × 164175956442953113_<18> × 5002383217719389360473913384039_<31> × 4495294535482012470972518309284152114589_<40>

83:

\[{28^{83}-1\over27}\]

167 × 39841 × 21661517621_<11> × 65642602122533083476691308195970252142124523_<44> × 5091332573154034332808866141011655364692094123998293376413_<58>

84:

\[{28^{84}-1\over27}\]

3 × 5 × 13 × 29 × 43 × 113 × 157 × 271 × 281 × 631 × 757 × 2269 × 13007 × 29443 × 35771 × 47221 × 93913 × 132679 × 749729 × 4422461 × 1100860153 × 40860961267393_<14> × 14070581691669049_<17> × 223934956756993189_<18>

85:

\[{28^{85}-1\over27}\]

637421 × 887401 × 148020807352107352204781_<24> × 451024205517517423233774595442089125772950234281803785388700007290734071220905548590621_<87>

86:

\[{28^{86}-1\over27}\]

29 × 3613 × 5849 × 60029 × 684217 × 24385817 × 105942074311_<12> × 23321405465263_<14> × 17068111104046291434149_<23> × 40848716771148807687245758923041411219985871202629_<50>

87:

\[{28^{87}-1\over27}\]

3 × 59 × 271 × 77241733 × 5506203727_<10> × 582595509837473004489665028935473297399_<39> × 2490984281800796713523237526645659080993083834467855653648162831_<64>

88:

\[{28^{88}-1\over27}\]

5 × 23² × 29 × 89 × 157 × 27017 × 135433 × 614657 × 6077039 × 50545507 × 540610746853_<12> × 23946685543873549601_<20> × 59716358541760548549065761_<26> × 1448228946058179249880169408969_<31>

89:

\[{28^{89}-1\over27}\]

11927 × 51977 × 174429180502286655544684177_<27> × 214654232536534717362018939506696980445489631453230772552822854938115326121133488835159519827_<93>

90:

\[{28^{90}-1\over27}\]

3² × 11 × 19² × 29 × 31 × 37 × 127 × 271 × 757 × 1801 × 3061 × 3511 × 4621 × 15991 × 53951 × 102547 × 444979 × 637421 × 691651 × 734941 × 7302331 × 48403441 × 84673681 × 551640495331_<12> × 1114029602365666612314868561_<28>

91:

\[{28^{91}-1\over27}\]

53 × 113 × 4422461 × 4543753614603737_<16> × 151211210289786851561817502989696437469675204045434254843665511834290768780315660400582842258304186236901_<105>

92:

\[{28^{92}-1\over27}\]

5 × 29 × 47 × 157 × 893413 × 115152031 × 140668620541_<12> × 4099849287367_<13> × 6013890309283753610697077_<25> × 1517655145813456319033978812579_<31> × 879411245603819415373538876009993_<33>

93:

\[{28^{93}-1\over27}\]

3 × 271 × 373 × 1117 × 10789 × 1675799 × 14307617 × 104175305182941687128096479_<27> × 9751283154942605850592828466642659513447_<40> × 160281583784620677280319713020603382697107_<42>

94:

\[{28^{94}-1\over27}\]

29 × 6299 × 24128861 × 175323719489_<12> × 21277176429749_<14> × 1892292333735833_<16> × 3425165712672937943_<19> × 347263946374443738653441_<24> × 10794451258505794581848338245438995963581_<41>

95:

\[{28^{95}-1\over27}\]

637421 × 21084187 × 5504044949138999959_<19> × 18876519380766175812534662561_<29> × 8010545589178234338619518726411686560584870675847476297867777517585821214661_<76>

96:

\[{28^{96}-1\over27}\]

3 × 5 × 13 × 17 × 29 × 97 × 157 × 193 × 271 × 757 × 7321 × 47221 × 59809 × 614657 × 2012449 × 4338337 × 33806737 × 51605161 × 168542177 × 365764369 × 22223646961_<11> × 20373094654699866379529360122950128475486289921_<47>

97:

\[{28^{97}-1\over27}\]

971 × 11811109 × 1077512962627_<13> × 709631467209875315796771044618306561153982255910640419690230176559964795222396960041765720122712469579101140989664777_<117>

98:

\[{28^{98}-1\over27}\]

29 × 113 × 197 × 13007 × 28813 × 35771 × 51647 × 57527 × 2155609 × 4422461 × 248397367 × 319343666713_<12> × 5966523512629_<13> × 47562389635488030795003583_<26> × 44498235948084746667439513476081194102813_<41>

99:

\[{28^{99}-1\over27}\]

3² × 19² × 199 × 271 × 262351 × 444979 × 6077039 × 50545507 × 4376814093829_<13> × 425141076149786955572181811_<27> × 588059502384167741754689230237055517031269700136285805215376626148451_<69>

Base 28 Repunits

Table