Factores primos de Gúgolplex + 10 con 34 dígitos
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Teoría de números
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Factores primos de Gúgolplex + 10 con 34 digitos
Esta es una lista de factores primos de
34 dígitos de gúgolplex + 10, es decir, 1010^100 + 10.
Estos números tienen la forma 1 + 2k ∏i piei,
donde pi es un factor primo de 10100 − 1
y ei es cero o uno.
La lista de factores primos de 10100 − 1 es: 3, 3, 11,
41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801,
18 2521213001, 1410 3673319201, 7887 5943472201 y 168058 8011350901.
En esta lista se pueden ver los factores primos, sus descubridores y los valores de k.
- 1000 3177491560 6930692068 9891815371 (David Broadhurst, k=65)
- 1003 5532193691 9213266786 3681074099 (David Broadhurst, k=1)
- 1003 8798597067 1815622880 7019447011 (Patrick Demichel, k=1022445)
- 1006 9767114466 8828040571 3217792493 (Patrick Demichel, k=550862)
- 1010 4440030539 4071381004 6716476089 (Patrick Demichel, k=484004)
- 1010 6988081635 9297751193 9908971371 (Phil Carmody, k=2465)
- 1011 6426802469 3341077669 0232118851 (David Broadhurst, k=75)
- 1014 4240690212 1274507972 5549844623 (Patrick Demichel, k=96527)
- 1017 8610256841 2961288713 8162676411 (David Broadhurst, k=85)
- 1018 4918076362 5799968403 1626859263 (David Broadhurst, k=41)
- 1019 8725708272 6834888409 1662096739 (Phil Carmody, k=1493)
- 1020 3210177688 9107970073 3670678811 (David Broadhurst, k=95)
- 1022 6549654056 7740928406 6231347881 (Phil Carmody, k=1860)
- 1023 1203240306 1022110915 4441314423 (David Broadhurst, k=17)
- 1027 6188066612 6087743106 6429548813 (David Broadhurst, k=86)
- 1028 4658253627 8692231558 8166901687 (David Broadhurst, k=1)
- 1028 8993503976 9747648659 6948910837 (David Broadhurst, k=2)
- 1034 7908070767 0657302387 0487868613 (David Broadhurst, k=2)
- 1036 0572292076 8556924128 3598055487 (Phil Carmody, k=107)
- 1036 5863085681 8792943781 9577094133 (David Broadhurst, k=2)
- 1039 5973825420 1034256739 1821277823 (Phil Carmody, k=227)
- 1041 7184039925 2418600272 8147101169 (Paul Leyland, k=36728)
- 1048 4634930184 2607625027 7972695893 (David Broadhurst, k=2)
- 1050 5002246570 5901699733 2259393371 (Patrick Demichel, k=281495)
- 1052 8459079607 4797811666 7188204849 (Patrick Demichel, k=651128)
- 1054 3297449853 4296508921 9641812529 (David Broadhurst, k=8)
- 1057 4813574309 6885677657 2034802379 (David Broadhurst, k=13)
- 1059 8106634031 1399979155 6539209849 (David Broadhurst, k=28)
- 1063 7446371530 8643760681 2109247597 (David Broadhurst, k=2)
- 1068 8007280872 6247337300 5566790171 (Patrick Demichel, k=20945)
- 1069 7305900455 9850451020 0641134521 (David Broadhurst, k=20)
- 1073 9802955888 2210330916 2407376103 (Patrick Demichel, k=251267)
- 1074 8168688703 2804549364 9626093889 (David Broadhurst, k=96)
- 1076 5956038162 1859090021 8851537407 (David Broadhurst, k=1)
- 1081 4447347837 7787437955 2449002091 (David Broadhurst, k=5)
- 1081 7589236523 7154544341 0963475127 (David Broadhurst, k=31)
- 1087 0237993602 2805963637 6519056613 (Patrick Demichel, k=47162)
- 1093 5406148095 0323369657 6699941813 (Patrick Demichel, k=107126)
- 1093 5462518820 8117918820 8227273447 (Phil Carmody, k=477)
- 1098 5171264884 8550904945 7792250453 (David Broadhurst, k=2)
- 1103 9067454413 1748217804 5617291009 (Phil Carmody, k=128)
- 1108 8873343430 0704694578 5507857197 (Phil Carmody, k=526)
- 1111 9987184009 4212524855 1113943161 (David Broadhurst, k=20)
- 1114 5628045964 8054442683 2378116299 (Phil Carmody, k=2413)
- 1117 7004245492 7436791135 3740780437 (Norm Dresner, k=13082)
- 1120 2521116742 9660092628 9403873929 (Phil Carmody, k=1444)
- 1120 4096837192 7754826037 4082006449 (David Broadhurst, k=8)
- 1120 6026613441 3255879521 9110455321 (David Broadhurst, k=20)
- 1121 9553628420 7134913324 3488003339 (David Broadhurst, k=1)
- 1124 4806652714 0866893220 3056698973 (David Broadhurst, k=2)
- 1125 0691096306 1109652684 5151767623 (Paul Leyland, k=31721)
- 1126 5594011519 9524509251 8517841739 (Patrick Demichel, k=2677641)
- 1129 2676559779 6302773628 5507973973 (David Broadhurst, k=2)
- 1130 5286983611 0533508385 9085455933 (Patrick Demichel, k=25274)
- 1131 9776389680 6124097971 4483326891 (David Broadhurst, k=5)
- 1133 0499035666 3521070194 1797115237 (Phil Carmody, k=278)
- 1133 8803449195 9693238586 9973975783 (David Broadhurst, k=1)
- 1137 1965367046 3989346215 5852636983 (David Broadhurst, k=1)
- 1139 0420300615 3477087168 6803718089 (Phil Carmody, k=18836)
- 1139 6735393282 0232306577 3601404693 (Phil Carmody, k=1522)
- 1140 1396486755 0980003959 6233594247 (David Broadhurst, k=11)
- 1141 0817861193 8037035072 2510416247 (Phil Carmody, k=3667)
- 1147 0719098237 7880939804 2138598531 (David Broadhurst, k=5)
- 1147 0906111225 4943633482 4235543207 (David Broadhurst, k=1)
- 1147 7136310716 9398890694 9184354637 (David Broadhurst, k=2)
- 1147 9098423001 5307610287 4017717099 (Norm Dresner, k=13463)
- 1150 7528771628 8161717451 7187984009 (Patrick Demichel, k=696556)
- 1152 4582851418 3199783741 5606977247 (David Broadhurst, k=1)
- 1153 6254090627 7029671059 8075212459 (Patrick Demichel, k=1086049)
- 1155 8603990287 6010338928 0977752823 (Phil Carmody, k=499)
- 1157 8130298892 2305555527 6144398133 (Patrick Demichel, k=108294)
- 1161 1132722904 5849208938 8650404169 (Phil Carmody, k=2708)
- 1162 2092531470 6852931470 6969152397 (David Broadhurst, k=2)
- 1162 7846785486 7405586240 8979869413 (Paul Leyland, k=38902)
- 1166 0341895687 4319923050 6276587237 (David Broadhurst, k=2)
- 1169 2554194493 9659690712 5482417087 (David Broadhurst, k=7)
- 1170 9323130675 1641594777 6738120739 (David Broadhurst, k=1)
- 1171 4939613198 1389349453 1307295663 (David Broadhurst, k=9)
- 1171 5528264373 7869554762 0748521157 (Phil Carmody, k=182)
- 1173 1763626665 4906384389 7521489769 (Patrick Demichel, k=78876)
- 1182 8573373017 4742053948 2600031007 (David Broadhurst, k=1)
- 1189 5801701248 8675350823 2211453961 (David Broadhurst, k=20)
- 1194 0929159697 7807315156 9361477659 (Phil Carmody, k=2811)
- 1197 4835596283 8777986722 1367854601 (David Broadhurst, k=100)
- 1203 0489650288 3382434601 5071003339 (Patrick Demichel, k=415813)
- 1221 1434067831 0982932035 1345168303 (Phil Carmody, k=689)
- 1225 9123787033 6834480260 7873406161 (Phil Carmody, k=680)
- 1226 0804008830 9097970463 5602632727 (John Gamble, k=15127)
- 1227 0687811394 4164573902 1022654727 (Phil Carmody, k=547)
- 1229 0260770846 8734478604 1610809927 (Paul Leyland, k=37171)
- 1236 8874509963 0996309963 0872621219 (David Broadhurst, k=1)
- 1238 2612345942 8223747760 0307816499 (Patrick Demichel, k=131711)
- 1241 1670747293 2054926029 5416971409 (Phil Carmody, k=568)
- 1246 1275108445 0442089062 8282801247 (Phil Carmody, k=247)
- 1254 3718773971 1837565083 7360462087 (David Broadhurst, k=7)
- 1257 7740924474 0378741640 7824547983 (Patrick Demichel, k=5737)
- 1259 4350114893 9038231945 9929330533 (Patrick Demichel, k=7554)
- 1266 6441093759 6607007598 5171605093 (Phil Carmody, k=182)
- 1268 1299042276 4227642276 4100829287 (David Broadhurst, k=1)
- 1271 3338214423 8557614423 8684747807 (David Broadhurst, k=1)
- 1272 6713669802 6634448028 5480687731 (Phil Carmody, k=1035)
- 1273 5849065133 4416635962 0943809727 (Phil Carmody, k=143)
- 1276 0273548917 3584673413 4992109293 (Patrick Demichel, k=20834)
- 1276 8059573913 9649011104 6044884013 (David Broadhurst, k=2)
- 1278 5602951044 5006419070 6468664331 (Patrick Demichel, k=1396405)
- 1281 2255775102 5863057349 3607283529 (David Broadhurst, k=4)
- 1281 6705786698 7017981581 7013637813 (David Broadhurst, k=22)
- 1282 8147486857 8351030961 5682223727 (David Broadhurst, k=1)
- 1283 0197817669 1355970160 8880926053 (Phil Carmody, k=3134)
- 1283 5898428503 1515150231 5616723013 (David Broadhurst, k=2)
- 1285 2156519670 0271001424 8114483041 (Paul Leyland, k=31120)
- 1286 0069420393 7960620393 8089221089 (David Broadhurst, k=16)
- 1289 4209445852 9518290474 4786674801 (Patrick Demichel, k=722600)
- 1292 1456568284 3171568284 3300782851 (Phil Carmody, k=1075)
- 1294 2862147309 3929360153 1067214139 (David Broadhurst, k=43)
- 1297 4922309703 7258204048 6001303133 (Phil Carmody, k=134)
- 1297 5625226946 7584208620 0781693957 (Phil Carmody, k=1222)
- 1297 6706225873 5894136865 7449139651 (David Broadhurst, k=25)
- 1298 2136309152 4365023562 7026262797 (David Broadhurst, k=2)
- 1298 2521165898 5599588910 4662582727 (David Broadhurst, k=1)
- 1298 4791463962 8026030496 6801296739 (Phil Carmody, k=533)
- 1298 5532992475 5806570693 0931758247 (Patrick Demichel, k=1186691)
- 1298 9697640943 2614726215 7687631543 (David Broadhurst, k=19)
- 1303 0572419359 5152786974 2600170899 (Patrick Demichel, k=345293)
- 1305 7975760400 0762408527 9894976769 (Phil Carmody, k=128)
- 1311 8807256082 3869850002 8001601303 (David Broadhurst, k=17)
- 1312 1715376881 7688176881 7556959729 (David Broadhurst, k=8)
- 1313 3878187830 4961970300 6288528207 (David Broadhurst, k=1)
- 1320 4613963498 8216606122 1434819739 (Patrick Demichel, k=903613)
- 1323 1302394431 0568941769 8128662477 (David Broadhurst, k=82)
- 1324 8546105573 9345441040 5766988647 (Phil Carmody, k=557)
- 1326 4773309468 4991787139 5349462303 (Phil Carmody, k=677)
- 1328 5960142777 9620507482 7988812717 (David Broadhurst, k=2)
- 1331 5117620172 2017220172 1884068997 (Phil Carmody, k=19166)
- 1339 8303132109 9778596446 1475465677 (David Broadhurst, k=2)
- 1341 8647079213 0380802309 3063138047 (David Broadhurst, k=1)
- 1341 9206718276 7640665163 7542859121 (David Broadhurst, k=40)
- 1346 1907633009 0210788440 4360767623 (David Broadhurst, k=67)
- 1348 3207527687 7477999367 7819818893 (David Broadhurst, k=2)
- 1357 4709626401 2345649725 1200341437 (Phil Carmody, k=442)
- 1357 9126333558 7006650526 7880318327 (Patrick Demichel, k=40187)
- 1370 8004938062 3803901699 5798965009 (David Broadhurst, k=88)
- 1370 9048983918 8699746468 6844805087 (David Broadhurst, k=1)
- 1374 6933460711 8565224281 5225629967 (David Broadhurst, k=1)
- 1375 1051363454 6693581509 8866710687 (David Broadhurst, k=1)
- 1375 7709107031 9151475470 2860048437 (Phil Carmody, k=102)
- 1378 9751986974 4541927321 4151768783 (Norm Dresner, k=13699)
- 1388 6788798775 6648758716 5443129927 (Patrick Demichel, k=3076771)
- 1390 0232207921 0124118032 9891911503 (Phil Carmody, k=1469)
- 1390 4118344688 6684795913 2161160379 (Patrick Demichel, k=2447441)
- 1390 5593923531 1560206310 2845868769 (David Broadhurst, k=16)
- 1391 8191970326 2020093993 1928863677 (David Broadhurst, k=2)
- 1392 0782904123 4766935199 1878254583 (David Broadhurst, k=1)
- 1393 4117612454 0444286577 8207863637 (Phil Carmody, k=3226)
- 1393 4871192380 0008947839 4550152691 (Phil Carmody, k=255)
- 1396 2253442276 4227642276 4088019743 (David Broadhurst, k=17)
- 1397 9122132329 4921587521 5061969809 (David Broadhurst, k=8)
- 1399 6042097401 7796119455 4546738321 (Paul Leyland, k=32360)
- 1410 9712001136 8157316564 8385399579 (David Broadhurst, k=13)
- 1412 7277004315 7481450104 3735624049 (David Broadhurst, k=8)
- 1413 8287969275 9953441018 5367224379 (Phil Carmody, k=2789)
- 1415 0428179757 9552357366 4640515251 (Patrick Demichel, k=154875)
- 1417 0012840064 0937781593 0659760823 (Patrick Demichel, k=54609)
- 1417 6488400767 7295207663 3357861567 (David Broadhurst, k=13)
- 1434 1507498694 1264339063 7228160809 (David Broadhurst, k=36)
- 1437 7197566187 5743501451 8545936703 (David Broadhurst, k=37)
- 1443 2116289736 8280204549 0714615383 (Phil Carmody, k=331)
- 1450 7852786785 0731705866 2878920533 (Patrick Demichel, k=193294)
- 1450 7883754072 1984200923 1344164767 (David Broadhurst, k=1)
- 1454 9081424681 5649633565 2395786917 (Phil Carmody, k=3706)
- 1457 4860531365 3136531365 2990782761 (David Broadhurst, k=20)
- 1462 4265349131 6231862851 1713300367 (David Broadhurst, k=1)
- 1463 2603591950 7756029119 7150115649 (Patrick Demichel, k=2022304)
- 1466 9276921116 9010470734 8248402571 (David Broadhurst, k=85)
- 1469 6100169543 3575942289 6221891133 (John Gamble, k=16894)
- 1484 6752667315 5991874857 2879994407 (David Broadhurst, k=1)
- 1486 7532772078 2792172078 2940847407 (David Broadhurst, k=1)
- 1487 6110265132 5084345652 0954462173 (David Broadhurst, k=2)
- 1489 2139998406 3745019920 3336172397 (Phil Carmody, k=2206)
- 1492 6925462689 5790008318 2730127411 (David Broadhurst, k=85)
- 1495 0694493917 9532507463 7849345087 (Patrick Demichel, k=5383)
- 1500 8491839960 9009175518 0907057477 (David Broadhurst, k=2)
- 1502 9478457839 9636146977 8663762373 (Phil Carmody, k=19554)
- 1504 2389716284 8710116541 1372618929 (Patrick Demichel, k=86008)
- 1505 7187099131 2389568393 8964847007 (David Broadhurst, k=1)
- 1507 0680512776 5898006777 9683716317 (David Broadhurst, k=42)
- 1512 0158032238 2646542429 3282184689 (Norm Dresner, k=13256)
- 1514 4946030965 6917900024 2550948009 (David Broadhurst, k=4)
- 1515 3762250986 5122733574 1721074531 (David Broadhurst, k=5)
- 1515 6200435546 1926698138 8696561139 (Patrick Demichel, k=7651)
- 1519 3022634865 3929602891 2559955847 (Norm Dresner, k=13607)
- 1525 9277092736 3693429503 0250893567 (Phil Carmody, k=2387)
- 1529 9686740641 9931214872 1539817931 (Phil Carmody, k=1115)
- 1532 2443975304 3241380500 3276932287 (Phil Carmody, k=257)
- 1545 9889585562 5786338967 4930134531 (David Broadhurst, k=5)
- 1548 4673699650 4068934897 2561176943 (David Broadhurst, k=7)
- 1549 8072588853 7188260625 7466421699 (David Broadhurst, k=1)
- 1566 5757430232 2321386851 0660593957 (David Broadhurst, k=2)
- 1567 4066374415 9957374062 7787651767 (Phil Carmody, k=1067)
- 1570 2164544254 4215551303 9074448327 (David Broadhurst, k=37)
- 1574 3990937703 9565409351 1949497339 (Patrick Demichel, k=952991)
- 1575 5238247639 5236047639 5393600023 (David Broadhurst, k=1)
- 1578 9545456632 1509302122 1809977687 (David Broadhurst, k=1)
- 1580 9937863084 8856037037 6163621293 (David Broadhurst, k=2)
- 1589 2826686534 5645828558 2896897013 (Phil Carmody, k=166)
- 1594 7023611188 0249036194 8422307973 (David Broadhurst, k=2)
- 1599 4722941615 3567547989 8747415539 (David Broadhurst, k=1)
- 1600 6401976587 7926169349 0727809161 (Patrick Demichel, k=77260)
- 1609 7855498690 9230936053 8777367739 (Phil Carmody, k=111)
- 1612 6682742582 0014879255 3927635339 (Patrick Demichel, k=707963)
- 1625 3239484438 4291299609 9943487339 (David Broadhurst, k=1)
- 1629 2009072462 4866440945 4115313801 (Patrick Demichel, k=180100)
- 1637 7350819204 7100602775 5548576383 (David Broadhurst, k=49)
- 1639 3776708604 8127826668 0104010447 (David Broadhurst, k=1)
- 1640 5969027584 6130425831 8307049009 (Phil Carmody, k=1688)
- 1642 3060920704 6912963931 5684510797 (Phil Carmody, k=662)
- 1644 8957855483 3443146142 5270381263 (David Broadhurst, k=1)
- 1658 8755454580 6377216370 3989154213 (Patrick Demichel, k=5206)
- 1661 1741775116 9526850926 4747632459 (Patrick Demichel, k=7313)
- 1664 8386565146 5566473801 8962088539 (David Broadhurst, k=1)
- 1667 6164869526 6423361142 9255667921 (Phil Carmody, k=920)
- 1677 7257971672 2832771672 3000544253 (Patrick Demichel, k=9414)
- 1681 4259649446 4944649446 4776506851 (Patrick Demichel, k=74075)
- 1694 0696249353 5064649353 5234056317 (Patrick Demichel, k=9926)
- 1699 4299919742 7183833964 8020882881 (Patrick Demichel, k=210080)
- 1701 6336980383 2338007021 5769455339 (Phil Carmody, k=139)
- 1704 2699816284 3519767567 4879358929 (Patrick Demichel, k=6488)
- 1711 5726466123 7450814024 1724349613 (David Broadhurst, k=14)
- 1712 3934489767 5850103638 3492787607 (Patrick Demichel, k=1426937)
- 1713 1921424412 5852789263 8485822011 (Phil Carmody, k=2045)
- 1716 4709162511 3142093541 0434503277 (David Broadhurst, k=22)
- 1717 1371486961 6324740098 2253452539 (David Broadhurst, k=1)
- 1719 3949607360 4374191492 0028615251 (John Gamble, k=17125)
- 1734 3991720087 7567360485 4657148517 (Phil Carmody, k=3386)
- 1737 4140133194 7496205101 3201524409 (David Broadhurst, k=4)
- 1739 5404028096 7970583901 1378438733 (Phil Carmody, k=4094)
- 1739 7036737772 4769257411 7287217329 (Patrick Demichel, k=1234136)
- 1740 5283194351 9210226224 4483880651 (Patrick Demichel, k=79525)
- 1740 9940936819 2555901968 2614966891 (Patrick Demichel, k=946505)
- 1741 6638865430 9105634297 5367241343 (David Broadhurst, k=1)
- 1742 7297981329 1767248876 2989461327 (David Broadhurst, k=1)
- 1748 9133757273 0246250175 2079676207 (Patrick Demichel, k=28027)
- 1759 6712471651 2668569612 0842952893 (Patrick Demichel, k=1559694)
- 1772 2872982369 9152348861 7934530813 (Phil Carmody, k=4754)
- 1778 5250998056 1226468424 0189198409 (David Broadhurst, k=68)
- 1779 6241658589 5153639288 3585531023 (Phil Carmody, k=259)
- 1782 8050877963 1819189289 1886048527 (Norm Dresner, k=12343)
- 1788 3592553317 3050472037 6851312207 (David Broadhurst, k=1)
- 1788 8450370980 2508249036 2374711529 (Patrick Demichel, k=1538108)
- 1790 7718844118 4411844118 4232766931 (Patrick Demichel, k=177285)
- 1790 9790339102 4616778183 8496133463 (David Broadhurst, k=1)
- 1796 0749801175 8431953466 4572862927 (David Broadhurst, k=1)
- 1798 3469925269 5473958881 8538688877 (Phil Carmody, k=1318)
- 1802 8882994407 4201521457 6866281841 (David Broadhurst, k=40)
- 1803 6600891334 0500599068 7993358743 (David Broadhurst, k=1)
- 1808 2948816797 5888960491 4516754449 (Phil Carmody, k=584)
- 1808 5045953472 2779255460 1059783641 (David Broadhurst, k=20)
- 1809 4124817004 3199240503 0856603527 (David Broadhurst, k=7)
- 1810 4095675428 0554081380 7551319371 (David Broadhurst, k=15)
- 1810 5554183624 0371714734 5724056503 (Patrick Demichel, k=1445629)
- 1811 3741947970 1818180006 8076233849 (David Broadhurst, k=36)
- 1820 3148733663 2299757540 9151025699 (Patrick Demichel, k=1124939)
- 1825 5735581545 5643562530 8620854099 (David Broadhurst, k=1)
- 1826 0891134418 6558134418 6740743331 (David Broadhurst, k=5)
- 1829 0071861498 0576720049 8227632659 (David Broadhurst, k=1)
- 1829 6936673466 9719483513 2131719979 (Patrick Demichel, k=127913)
- 1861 2266800937 9599036433 3866890823 (Phil Carmody, k=119)
- 1861 3744087660 0554510074 4438213037 (Patrick Demichel, k=46262)
- 1861 9927553612 9747596116 9629340409 (Patrick Demichel, k=1537588)
- 1869 5263636490 7620796062 6351073223 (Phil Carmody, k=1699)
- 1871 3200260377 8137030679 3254007531 (Phil Carmody, k=155)
- 1888 3667412510 0862158128 3729400973 (Phil Carmody, k=1334)
- 1890 2567572904 9362916935 2839719609 (Phil Carmody, k=1436)
- 1892 7965619529 8727904338 9749315773 (Patrick Demichel, k=424166)
- 1893 2848466111 2469222780 8440313099 (David Broadhurst, k=1)
- 1894 3083554893 1269998001 2740900449 (Phil Carmody, k=976)
- 1899 4141145182 0153684974 7741920583 (David Broadhurst, k=97)
- 1903 3736283673 7999676031 7679223453 (David Broadhurst, k=2)
- 1912 3797482266 9356578918 0690417401 (Patrick Demichel, k=1313900)
- 1932 4140231287 9364864443 5224635089 (David Broadhurst, k=8)
- 1938 3432492429 9648353262 5473190077 (David Broadhurst, k=2)
- 1940 5859713677 6825473519 8731929533 (Phil Carmody, k=934)
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