tables > repunit > base13

Base 13 Repunits

Table

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(available: 0-999)

Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>

0: \[{13^{0}-1\over12}\] 0
1: \[{13^{1}-1\over12}\] 1
2: \[{13^{2}-1\over12}\] 2 × 7
3: \[{13^{3}-1\over12}\] 3 × 61
4: \[{13^{4}-1\over12}\] 22 × 5 × 7 × 17
5: \[{13^{5}-1\over12}\] 30941
6: \[{13^{6}-1\over12}\] 2 × 3 × 7 × 61 × 157
7: \[{13^{7}-1\over12}\] 5229043
8: \[{13^{8}-1\over12}\] 23 × 5 × 7 × 17 × 14281
9: \[{13^{9}-1\over12}\] 32 × 61 × 1609669
10: \[{13^{10}-1\over12}\] 2 × 7 × 11 × 2411 × 30941
11: \[{13^{11}-1\over12}\] 23 × 419 × 859 × 18041
12: \[{13^{12}-1\over12}\] 22 × 3 × 5 × 7 × 17 × 61 × 157 × 28393
13: \[{13^{13}-1\over12}\] 53 × 264031 × 1803647
14: \[{13^{14}-1\over12}\] 2 × 72 × 29 × 22079 × 5229043
15: \[{13^{15}-1\over12}\] 3 × 61 × 4651 × 30941 × 161971
16: \[{13^{16}-1\over12}\] 24 × 5 × 7 × 17 × 14281 × 407865361
17: \[{13^{17}-1\over12}\] 103 × 443 × 15798461357509<14>
18: \[{13^{18}-1\over12}\] 2 × 32 × 7 × 19 × 61 × 157 × 271 × 937 × 1609669
19: \[{13^{19}-1\over12}\] 12865927 × 9468940004449<13>
20: \[{13^{20}-1\over12}\] 22 × 52 × 7 × 11 × 17 × 421 × 601 × 641 × 2411 × 30941
21: \[{13^{21}-1\over12}\] 3 × 43 × 61 × 337 × 547 × 2714377 × 5229043
22: \[{13^{22}-1\over12}\] 2 × 7 × 23 × 419 × 859 × 18041 × 128011456717<12>
23: \[{13^{23}-1\over12}\] 1381 × 2519545342349331183143<22>
24: \[{13^{24}-1\over12}\] 23 × 3 × 5 × 7 × 17 × 61 × 157 × 14281 × 28393 × 815702161
25: \[{13^{25}-1\over12}\] 701 × 9851 × 30941 × 2752135920929651<16>
26: \[{13^{26}-1\over12}\] 2 × 7 × 53 × 13417 × 20333 × 79301 × 264031 × 1803647
27: \[{13^{27}-1\over12}\] 33 × 61 × 650971 × 1609669 × 57583418699431<14>
28: \[{13^{28}-1\over12}\] 22 × 5 × 72 × 17 × 29 × 22079 × 5229043 × 23161037562937<14>
29: \[{13^{29}-1\over12}\] 1973 × 2843 × 3539 × 846041103974872866961<21>
30: \[{13^{30}-1\over12}\] 2 × 3 × 7 × 11 × 31 × 61 × 157 × 2411 × 4651 × 30941 × 161971 × 28325071
31: \[{13^{31}-1\over12}\] 311 × 1117 × 8170509011431363408568150369<28>
32: \[{13^{32}-1\over12}\] 25 × 5 × 7 × 17 × 2657 × 14281 × 441281 × 283763713 × 407865361
33: \[{13^{33}-1\over12}\] 3 × 23 × 61 × 419 × 859 × 18041 × 17551032119981679046729<23>
34: \[{13^{34}-1\over12}\] 2 × 7 × 103 × 443 × 15798461357509<14> × 617886851384381281<18>
35: \[{13^{35}-1\over12}\] 211 × 30941 × 5229043 × 3357897971 × 707179356161321<15>
36: \[{13^{36}-1\over12}\] 22 × 32 × 5 × 7 × 17 × 19 × 37 × 61 × 157 × 271 × 937 × 28393 × 428041 × 1471069 × 1609669
37: \[{13^{37}-1\over12}\] 1481 × 67495678093<11> × 4287755796749<13> × 31964044249933<14>
38: \[{13^{38}-1\over12}\] 2 × 7 × 12865927 × 9468940004449<13> × 104422877883960436477<21>
39: \[{13^{39}-1\over12}\] 3 × 53 × 61 × 79 × 1093 × 4603 × 21841 × 264031 × 1803647 × 57745124662681<14>
40: \[{13^{40}-1\over12}\] 23 × 52 × 7 × 11 × 17 × 41 × 421 × 601 × 641 × 2411 × 14281 × 29881 × 30941 × 543124566401<12>
41: \[{13^{41}-1\over12}\] 6740847065723<13> × 58047259977349384372529747126587<32>
42: \[{13^{42}-1\over12}\] 2 × 3 × 72 × 29 × 43 × 61 × 157 × 337 × 463 × 547 × 22079 × 2714377 × 5229043 × 54165939703<11>
43: \[{13^{43}-1\over12}\] 119627 × 552781743698966779174737704265497702530829<42>
44: \[{13^{44}-1\over12}\] 22 × 5 × 7 × 17 × 23 × 419 × 859 × 5281 × 18041 × 128011456717<12> × 3577574298489429481<19>
45: \[{13^{45}-1\over12}\] 32 × 61 × 181 × 4651 × 30941 × 161971 × 1609669 × 2997534286720771645924621<25>
46: \[{13^{46}-1\over12}\] 2 × 7 × 47 × 277 × 1151 × 1381 × 2347 × 84801400975699<14> × 2519545342349331183143<22>
47: \[{13^{47}-1\over12}\] 183959 × 19216136497<11> × 534280344481909234853671069326391741<36>
48: \[{13^{48}-1\over12}\] 24 × 3 × 5 × 7 × 17 × 61 × 157 × 1009 × 14281 × 28393 × 407865361 × 815702161 × 659481276875569<15>
49: \[{13^{49}-1\over12}\] 1667 × 5229043 × 28082195177<11> × 1303929619014323295195519453212113<34>
50: \[{13^{50}-1\over12}\] 2 × 7 × 11 × 101 × 701 × 2411 × 9851 × 30941 × 57751 × 2752135920929651<16> × 3258254426373251<16>
51: \[{13^{51}-1\over12}\] 3 × 61 × 103 × 443 × 763879 × 15798461357509<14> × 535301324317729848039542278039<30>
52: \[{13^{52}-1\over12}\] 22 × 5 × 7 × 17 × 53 × 13417 × 20333 × 79301 × 264031 × 380329 × 1803647 × 1418792215861230619657<22>
53: \[{13^{53}-1\over12}\] 107 × 194723 × 189541180943969<15> × 8403659652641423<16> × 274690322498001718403<21>
54: \[{13^{54}-1\over12}\] 2 × 33 × 7 × 19 × 61 × 157 × 163 × 271 × 937 × 650971 × 904663 × 1609669 × 762615992953<12> × 57583418699431<14>
55: \[{13^{55}-1\over12}\] 23 × 419 × 859 × 2861 × 18041 × 30941 × 13545148572117361<17> × 8603427927040724342317061<25>
56: \[{13^{56}-1\over12}\] 23 × 5 × 72 × 17 × 29 × 113 × 14281 × 22079 × 5229043 × 23161037562937<14> × 4803378460849459680406337<25>
57: \[{13^{57}-1\over12}\] 3 × 61 × 12865927 × 796956375829<12> × 9468940004449<13> × 14654187650846568795703728901<29>
58: \[{13^{58}-1\over12}\] 2 × 7 × 59 × 1741 × 1973 × 2843 × 3539 × 8546789918171<13> × 16397414286709<14> × 846041103974872866961<21>
59: \[{13^{59}-1\over12}\] 273997 × 5311771 × 30233706222041559662776806806113588758534692993333729<53>
60: \[{13^{60}-1\over12}\] 22 × 3 × 52 × 7 × 11 × 17 × 31 × 61 × 157 × 421 × 601 × 641 × 2411 × 4651 × 28393 × 30941 × 161971 × 28325071 × 460655521 × 1453046401
61: \[{13^{61}-1\over12}\] 4027 × 4759 × 7687 × 27817 × 92110001 × 4672993939<10> × 48401662036451<14> × 87103671046409436847<20>
62: \[{13^{62}-1\over12}\] 2 × 7 × 311 × 373 × 1117 × 2729 × 145831193 × 16389023943543602257<20> × 8170509011431363408568150369<28>
63: \[{13^{63}-1\over12}\] 32 × 43 × 61 × 127 × 337 × 547 × 6301 × 825679 × 1609669 × 2714377 × 5229043 × 7327657 × 997294663 × 2617880963923<13>
64: \[{13^{64}-1\over12}\] 26 × 5 × 7 × 17 × 193 × 1601 × 2657 × 10433 × 14281 × 441281 × 283763713 × 407865361 × 68675120456139881482562689<26>
65: \[{13^{65}-1\over12}\] 53 × 131 × 1171 × 30941 × 156131 × 264031 × 1803647 × 71442881968439190301<20> × 158943831041162255277151<24>
66: \[{13^{66}-1\over12}\] 2 × 3 × 7 × 23 × 61 × 67 × 157 × 331 × 419 × 859 × 1123 × 6997 × 18041 × 122167 × 960961 × 128011456717<12> × 17551032119981679046729<23>
67: \[{13^{67}-1\over12}\] 586079017 × 1093561021297<13> × 1195860242597359<16> × 46832111174371450604616850217838043873<38>
68: \[{13^{68}-1\over12}\] 22 × 5 × 7 × 172 × 103 × 443 × 1021 × 897329 × 61165661 × 75094577 × 6152936617<10> × 15798461357509<14> × 617886851384381281<18>
69: \[{13^{69}-1\over12}\] 3 × 61 × 139 × 1381 × 10903 × 282244620282733<15> × 2519545342349331183143<22> × 22271867346104672186904295489<29>
70: \[{13^{70}-1\over12}\] 2 × 72 × 11 × 29 × 71 × 211 × 2411 × 22079 × 30941 × 654221 × 759641 × 5229043 × 3357897971 × 16566575194331<14> × 707179356161321<15>
71: \[{13^{71}-1\over12}\] 6959 × 12923 × 201499 × 56573583882629131201397586942443243853379490390398336588076200421<65>
72: \[{13^{72}-1\over12}\] 23 × 32 × 5 × 7 × 17 × 19 × 37 × 61 × 73 × 157 × 271 × 937 × 4177 × 14281 × 28393 × 181297 × 428041 × 1471069 × 1609669 × 815702161 × 9818892432332713<16>
73: \[{13^{73}-1\over12}\] 145009586102490829218552548223336637<36> × 1194776740722409996051132396456283691052300333<46>
74: \[{13^{74}-1\over12}\] 2 × 7 × 223 × 1481 × 21017 × 152219 × 67495678093<11> × 1548921490187<13> × 4287755796749<13> × 31964044249933<14> × 10626791079749447<17>
75: \[{13^{75}-1\over12}\] 3 × 61 × 701 × 1951 × 4651 × 9851 × 30941 × 161971 × 2752135920929651<16> × 185129510660424877123166434146327362331151<42>
76: \[{13^{76}-1\over12}\] 22 × 5 × 7 × 17 × 229 × 94621 × 12865927 × 9468940004449<13> × 104422877883960436477<21> × 580196961910046805312944783240761<33>
77: \[{13^{77}-1\over12}\] 23 × 419 × 859 × 18041 × 5229043 × 624958606550654822293<21> × 10138828706452319901511087969019211193701892213<47>
78: \[{13^{78}-1\over12}\] 2 × 3 × 7 × 53 × 61 × 79 × 157 × 1093 × 4603 × 13417 × 20333 × 21841 × 79301 × 264031 × 1803647 × 57745124662681<14> × 584288727345658049575114801<27>
79: \[{13^{79}-1\over12}\] 3793 × 16433 × 6709792556882923<16> × 1999561631486182208460037804951465687912381337222920142652723329<64>
80: \[{13^{80}-1\over12}\] 24 × 52 × 7 × 11 × 17 × 41 × 421 × 601 × 641 × 2411 × 14281 × 29881 × 30941 × 407865361 × 543124566401<12> × 442779263234039928595359287744639041<36>
81: \[{13^{81}-1\over12}\] 34 × 61 × 650971 × 1609669 × 57583418699431<14> × 1102123844336048491<19> × 430119736863576885514326550014240994253359<42>
82: \[{13^{82}-1\over12}\] 2 × 7 × 83 × 638453 × 6740847065723<13> × 140299545168523469<18> × 45111380897407574171<20> × 58047259977349384372529747126587<32>
83: \[{13^{83}-1\over12}\] 12451 × 1383113 × 1386931777883518057046869588983880892136291513972206972463883515737484028199438341<82>
84: \[{13^{84}-1\over12}\] 22 × 3 × 5 × 72 × 17 × 29 × 43 × 61 × 157 × 337 × 463 × 547 × 673 × 2857 × 4621 × 22079 × 28393 × 2714377 × 5229043 × 54165939703<11> × 23161037562937<14> × 61452748127532301<17>
85: \[{13^{85}-1\over12}\] 103 × 443 × 30941 × 28152511 × 15798461357509<14> × 11435433293542010176161611<26> × 562139171639747303605338416886252422621<39>
86: \[{13^{86}-1\over12}\] 2 × 7 × 173 × 119627 × 12566837 × 8001003293<10> × 346982008721<12> × 9391016904700369<16> × 552781743698966779174737704265497702530829<42>
87: \[{13^{87}-1\over12}\] 3 × 61 × 1973 × 2843 × 3539 × 8527 × 846041103974872866961<21> × 808648601294417626878199<24> × 32188981953012087857559765746138617<35>
88: \[{13^{88}-1\over12}\] 23 × 5 × 7 × 17 × 23 × 89 × 419 × 859 × 5281 × 6073 × 14281 × 18041 × 128011456717<12> × 3577574298489429481<19> × 668229430151772307653060812800711311233<39>
89: \[{13^{89}-1\over12}\] 179 × 9257 × 716164560927079240026189379811<30> × 97149593605438945916118967283170626506454157662777835870622857<62>
90: \[{13^{90}-1\over12}\] 2 × 32 × 7 × 11 × 19 × 31 × 61 × 157 × 181 × 271 × 937 × 2251 × 2411 × 4651 × 12601 × 30941 × 161971 × 1609669 × 28325071 × 19145097390154976011<20> × 2997534286720771645924621<25>
91: \[{13^{91}-1\over12}\] 53 × 10193 × 34763 × 264031 × 1326781 × 1803647 × 5229043 × 72019220497491955875703699<26> × 4360058677522333400302555160685378238981<40>
92: \[{13^{92}-1\over12}\] 22 × 5 × 7 × 17 × 47 × 277 × 461 × 1151 × 1381 × 2347 × 160081 × 159686609 × 1445443990517<13> × 84801400975699<14> × 602053110178724749481<21> × 2519545342349331183143<22>
93: \[{13^{93}-1\over12}\] 3 × 61 × 311 × 1117 × 1303 × 6377362657<10> × 109711631401199502223<21> × 8170509011431363408568150369<28> × 6953421404898804540031541059209313<34>
94: \[{13^{94}-1\over12}\] 2 × 7 × 183959 × 19216136497<11> × 498851139881<12> × 534280344481909234853671069326391741<36> × 3245178229485124818467952891417691434077<40>
95: \[{13^{95}-1\over12}\] 191 × 27361 × 30941 × 4986361 × 12865927 × 9468940004449<13> × 5665149551002469378124906493775113839759111608599508854624282853831<67>
96: \[{13^{96}-1\over12}\] 25 × 3 × 5 × 7 × 17 × 61 × 97 × 157 × 1009 × 2657 × 14281 × 28393 × 88993 × 441281 × 283763713 × 407865361 × 815702161 × 127028743393<12> × 659481276875569<15> × 403791981344275297<18>
97: \[{13^{97}-1\over12}\] 389 × 971 × 93964390627<11> × 2649670037989481306648479727588559059666394088223938940478532104361128850279248331066898797<91>
98: \[{13^{98}-1\over12}\] 2 × 73 × 29 × 1667 × 22079 × 435709 × 5229043 × 22896329 × 54461639 × 28082195177<11> × 16049801116294358590175881<26> × 1303929619014323295195519453212113<34>
99: \[{13^{99}-1\over12}\] 32 × 23 × 61 × 199 × 419 × 859 × 3169 × 18041 × 1609669 × 17551032119981679046729<23> × 2192746830056885246381227<25> × 4961804056982481090385314988238018557<37>

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