Factores primos de Gúgolplex + 10 con 75 dígitos
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Teoría de números
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Factores primos de Gúgolplex + 10 con 75 digitos
Esta es una lista de factores primos de
75 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.
- 10066 4751610303 4360213344 6311689480 0340594647 3276636847 7303496321 7178163921 (Paul Leyland, k=38360)
- 10296 8257777009 3033489581 0546492061 9615801712 4630804748 5559567256 1992420971 (Patrick Demichel, k=219315)
- 10309 9006503928 2908078258 5212655274 5917091276 2893170248 3797304391 4810640859 (Patrick Demichel, k=9291)
- 10374 5960226494 3271912504 7131114285 7748338635 1416244708 2901922977 0919823517 (Patrick Demichel, k=804406)
- 10454 3130407312 4462477997 3869188144 8134106309 5217928237 5684074028 6168474183 (Paul Leyland, k=33707)
- 10500 2496853317 2077576237 4064806572 5935193427 4064817072 8432046744 6142382811 (Patrick Demichel, k=153445)
- 10501 6709909981 0150217142 8718613854 9263351730 7077885537 9328084733 0591690379 (Patrick Demichel, k=51683)
- 10545 8343268580 9680550201 5782100131 4454002429 2441068098 9532433486 7100559853 (David Broadhurst, k=2)
- 10598 8474236613 5505515516 8816583771 8312082972 4825313027 6061373245 7059657733 (David Broadhurst, k=34)
- 10627 7293462364 2110727576 1797659469 8202340530 1797670097 5495802894 3908387047 (David Broadhurst, k=1)
- 10633 0933008304 7603599105 4496135539 2048738964 5996393077 7317348266 5544160049 (David Broadhurst, k=8)
- 10634 7696518441 3625220609 5811689799 3180909845 0365480676 5971934610 0135453691 (Patrick Demichel, k=5765)
- 10707 2761306657 3693938084 9563205523 9255283353 1314268626 3365153262 3601896609 (Phil Carmody, k=1808)
- 10766 4701002438 7903323891 3348352056 2169193408 9167733548 6316794074 0261343009 (Patrick Demichel, k=93008)
- 10783 2557673349 5855610783 1479347772 8520652227 1479358556 1078325576 7334958557 (Phil Carmody, k=3182)
- 10865 0530898498 4790533558 4349604070 7699779466 9415420829 2358229919 6310068247 (Phil Carmody, k=247)
- 10942 6336969012 8374745185 5083970262 9200821860 3153698028 1808482720 1185426157 (David Broadhurst, k=2)
- 10979 8132213143 7195494588 0967921172 9892223961 8338428121 4628536714 5286370809 (Phil Carmody, k=236)
- 10996 5440249829 7364503365 1235618102 0503224836 1622701359 6369955202 5119112863 (David Broadhurst, k=71)
- 11008 3764499776 1534756657 0076000401 4428174144 6559720497 3201075251 2805139687 (Phil Carmody, k=1847)
- 11045 3252881517 7573056029 3615059692 8831848447 5852229403 8437806763 5242162049 (Patrick Demichel, k=1234496)
- 11141 8743947801 9495236311 6792179077 1624276819 7173220936 3348335955 2822791957 (Patrick Demichel, k=66302)
- 11157 2567218684 2638601922 0158493393 0759462828 1901562508 8132575582 6705357103 (Phil Carmody, k=1337)
- 11162 4550145969 6565965040 0000000000 0000000000 0000011162 4550145969 6565965041 (Patrick Demichel, k=550040)
- 11298 3478421194 4375655084 1507138577 3618692362 2224258753 1176127741 4900407797 (David Broadhurst, k=22)
- 11330 1288083002 7361412784 8187415602 0334905158 0204198699 6869656269 4402757607 (David Broadhurst, k=7)
- 11414 2837252893 5146258499 6399071290 8951345337 7243958507 2137038308 1015982877 (Patrick Demichel, k=47206)
- 11420 6604218193 2666941544 9613742825 2115806223 6280245592 1733552960 6545136837 (Phil Carmody, k=19006)
- 11550 5853317286 2731220505 0826109382 5393920234 2723094361 1874847710 0597478971 (David Broadhurst, k=15)
- 11595 7968682558 3304660645 7947846921 1472318621 4714367882 6723432164 8557486499 (Paul Leyland, k=36583)
- 11639 5371172602 5518141281 3638875829 8472070743 4211257313 4800964515 3378411099 (Patrick Demichel, k=955901)
- 11663 1982473453 6529211663 0816153628 9183846371 0816165292 1166319824 7345365293 (John Gamble, k=15262)
- 11686 2389298980 2034922433 6198308490 2574646044 5773550296 8459726766 2569535303 (Phil Carmody, k=149)
- 11696 7881597763 5218464652 4323024982 1904585495 2362745072 9620183190 6232011721 (Phil Carmody, k=340)
- 11720 5366425366 6439442320 2588670129 0177752144 9566352975 7566314025 2503655899 (Phil Carmody, k=1603)
- 11945 7341655445 9681779547 0216392174 0801484258 5993546520 2897690438 9829372051 (Patrick Demichel, k=82725)
- 11974 5868639069 5873250348 6930693069 3069306930 6930705043 8937946000 2803943419 (Patrick Demichel, k=870591)
- 12059 2505308292 3412094003 4100713717 5397849365 4067058370 5924175108 8582176091 (Patrick Demichel, k=723205)
- 12068 3830357183 0946653820 8292023352 8292023352 8292011284 4461666169 7345369533 (David Broadhurst, k=14)
- 12070 5951633775 9610852194 1336870261 6147601598 7883374560 7022204748 0229268973 (Patrick Demichel, k=3040414)
- 12140 9863934270 0384989332 6185211988 8616538397 9871518867 0404400722 4673394281 (Patrick Demichel, k=78860)
- 12155 6023174066 3351497497 0964626343 1123988892 9131944864 8009181360 4425877851 (Phil Carmody, k=4225)
- 12347 9887691267 0181212334 4477821171 3245051461 5989432430 2229441183 4964947561 (Phil Carmody, k=18220)
- 12376 4500039846 3238326706 7825238387 0255031387 3525894203 6505891031 7067636881 (Patrick Demichel, k=7960)
- 12395 4679406166 6924850194 3640296366 2683253550 1955747875 6594308677 4330205583 (Phil Carmody, k=1981)
- 12478 7152638015 1191757004 5756457564 5756457564 5756445085 8603819549 4564700561 (Patrick Demichel, k=281320)
- 12499 1620434939 2275146073 5004685472 0326136921 5031755893 9315252007 0259671197 (Patrick Demichel, k=90646)
- 12502 7226533734 4909778492 0543226963 5453386476 5285629293 1833457163 0101510729 (David Broadhurst, k=4)
- 12628 7449996787 1608412628 8712871287 1287128712 8712883915 8737125500 0321283917 (Patrick Demichel, k=6442)
- 12716 6662266693 6520529961 2357130837 1420632977 6510073079 8474105819 3658088093 (Patrick Demichel, k=824366)
- 12717 5212792646 4250812717 6484544774 3515455225 6484557491 8728247872 0735357493 (Phil Carmody, k=2274)
- 12740 4313566471 7789083539 0911455655 0911455655 0911442914 6597889183 3122372117 (Phil Carmody, k=218)
- 12880 4985019242 0728000179 3711881940 8489989861 5715716667 3487562524 6952509331 (Patrick Demichel, k=310955)
- 12925 1218399428 6388623079 9237273009 2329139509 8508702619 8075341550 8929561007 (Patrick Demichel, k=356997)
- 12960 5269670681 3121970415 2413338992 1315619397 3371094640 4004547896 8111727609 (Patrick Demichel, k=24116)
- 13050 1748340529 8744354335 5470693639 3045304430 6111128645 8528025420 0452880957 (Phil Carmody, k=526)
- 13193 6846085363 1403435888 1972725437 6584179523 0377626462 2088872160 0880063503 (Phil Carmody, k=1039)
- 13377 4703840714 9245385752 6478340125 9897336335 4940049212 4980234804 3349281077 (Patrick Demichel, k=61858)
- 13406 7885816549 3238619425 3273733546 7088573748 8512147483 3879070135 2653391019 (Patrick Demichel, k=20111)
- 13508 6708331945 8746213508 8059199029 1940800970 8059212537 8649132916 6805412539 (Patrick Demichel, k=88573)
- 13516 4197014244 7955605713 7611382754 0179791132 9247714153 8922739109 6002038321 (Patrick Demichel, k=58360)
- 13577 1636468367 6188418086 3960396039 6039603960 3960409616 7676072328 0148814127 (Phil Carmody, k=2963)
- 13602 8290511319 8152885145 3959671992 5676824825 5045120923 2642899740 3561827567 (David Broadhurst, k=7)
- 13735 8964541863 3460654954 6165565197 3800186088 1980557128 7767752655 1182557761 (Phil Carmody, k=160)
- 13764 2649456296 4174811608 8631845087 8713017133 0108766583 9508423240 0778553971 (Patrick Demichel, k=49495)
- 13767 8919694509 2915902328 9342749747 3093401466 3094026599 9485108352 0317000527 (Phil Carmody, k=1317)
- 13835 5644703347 0963723795 8621885292 1378114707 8621899127 7022818054 9585609089 (Patrick Demichel, k=76864)
- 13885 6074189690 8479974298 2181393431 4592028448 5144792470 4814740771 5910661693 (Phil Carmody, k=1862)
- 13904 5869660191 9376222405 7447048856 2552951143 7447062760 8422611335 6823271263 (David Broadhurst, k=19)
- 13940 6949080511 4601719916 9299325301 0700674698 9299339241 7649755210 3901045219 (Phil Carmody, k=911)
- 13985 4123995822 6530444966 7339312157 8675895575 7807704373 2595235901 8530578077 (Phil Carmody, k=2182)
- 14004 5204033677 2492535231 8035562599 2974451964 9691897825 2091752640 9755754517 (Patrick Demichel, k=91786)
- 14025 0066110965 9235989148 2136400839 5698283396 7203194021 5094615169 5375671161 (David Broadhurst, k=20)
- 14084 9063610391 6253925728 6732673267 3267326732 6732687352 2330937124 2986598997 (Patrick Demichel, k=126226)
- 14364 0883815439 4290976490 0000000000 0000000000 0000014364 0883815439 4290976491 (Patrick Demichel, k=191605)
- 14385 5310835712 3099074255 6573705179 2828685258 9641419877 4171236000 8375029331 (Phil Carmody, k=1085)
- 14441 8222349754 0512922905 9894448567 5472746290 2924784502 6634404973 4116106343 (David Broadhurst, k=1)
- 14457 9168874157 5296188313 7590853632 7910684088 8622961450 6194404949 3112697917 (Phil Carmody, k=1502)
- 14620 4378998846 1483995162 1393904419 3100030789 7547394023 5252111614 5723775691 (David Broadhurst, k=5)
- 14653 5171129582 6391304544 6548352046 3600144875 0452719862 9624234415 9121190929 (David Broadhurst, k=56)
- 14693 9651185306 0348814693 8181788794 1818211205 8181803488 1469396511 8530603489 (David Broadhurst, k=16)
- 14803 8425221901 3219434231 5397802728 4800193166 7270297884 7968596763 4130559733 (Patrick Demichel, k=2042642)
- 14895 8821648815 1386042001 6000562319 7348177792 1473017619 7011918292 1373252411 (Patrick Demichel, k=231345)
- 15006 8748590527 7437911930 5992218106 1748007043 0269570014 9077963207 3067187579 (Patrick Demichel, k=166261)
- 15050 1666276236 2964534733 6994394166 2898001330 5393276009 3128838799 4937443503 (Patrick Demichel, k=463787)
- 15144 4230564617 7470531819 3024053479 1017292657 7973851923 5791367740 0492322619 (David Broadhurst, k=31)
- 15185 5061519573 2363935427 2564244067 5288537084 1990724702 8611316869 4119707091 (Norm Dresner, k=10455)
- 15230 9440871753 7009751396 2423681184 7988125607 1014901220 9874048191 9034437557 (Patrick Demichel, k=26922)
- 15238 1242019521 0925084804 8144916133 1855083866 8144931371 3097103387 9070000939 (Patrick Demichel, k=108973)
- 15285 7741401418 4964113272 4566226829 0623706225 2563298993 8079773435 8796680979 (Patrick Demichel, k=52013)
- 15546 5725092887 0616284559 4235713562 5550115343 7354326194 5692761998 0979688369 (Phil Carmody, k=18456)
- 15577 7285325328 0158666287 2964700296 0243760653 2886454775 2685072234 3776004849 (Patrick Demichel, k=27336)
- 15924 2209726990 3308199609 4364261045 0095619141 2176870035 9929498658 4582475263 (David Broadhurst, k=7)
- 16074 7120784523 1703749732 8931226494 8063499050 5256761279 6896401508 5057864367 (Phil Carmody, k=161)
- 16090 1345853501 5145565506 8119691737 1505564044 8362160018 6814200892 8706948209 (Patrick Demichel, k=8696)
- 16138 3077422288 5701149588 1841328583 4319383760 2850602750 1315270539 0033817743 (Phil Carmody, k=107)
- 16139 8532400765 7918225902 3469064151 5336403410 8659221721 3220025101 5813983917 (Phil Carmody, k=386)
- 16147 1296575555 2676810481 6044346553 3831151756 3048744296 3358762756 2498820007 (David Broadhurst, k=1)
- 16151 3552812269 1653191654 8662232076 8662232076 8662215925 5109419807 7009040423 (Phil Carmody, k=917)
- 16314 7402465672 2086637211 8281595457 2505039423 6559369357 0981176975 1052211717 (Patrick Demichel, k=587966)
- 16323 0934268267 7498187439 4320028390 5378479121 8163574771 3674188962 9176995219 (Patrick Demichel, k=41761)
- 16671 4735855267 8070216671 6403002626 3596997373 6403019297 8332852641 4473219299 (David Broadhurst, k=1)
- 16711 5599822318 3790297984 4290451881 9665417567 6371880738 4133828881 2511920281 (David Broadhurst, k=60)
- 16729 3620058826 2830379303 1204082413 8773803529 4152272855 8301155061 6979280801 (Patrick Demichel, k=6800)
- 16785 1312324875 4675612486 0988421349 9011578650 0988438135 0323903525 5664033837 (Phil Carmody, k=206)
- 16912 7213604478 2309060131 1973947505 9378345771 6305792629 8556679108 3287792731 (Patrick Demichel, k=2250235)
- 16913 9574097177 6247905481 7044598091 5554193941 8550080804 7507785637 0419007293 (John Gamble, k=16714)
- 16940 4713559307 1695077297 4552169340 5591567479 5415347806 9379295046 2583878819 (Patrick Demichel, k=22061)
- 17052 7175822879 7323842288 7098196533 2901803466 7098213586 0077626346 4422038823 (Phil Carmody, k=4889)
- 17064 4503657320 1471143432 9411184761 6993367575 2002173690 1785872002 7165917487 (David Broadhurst, k=11)
- 17110 4345152291 4562446330 8736796280 5470288460 1394839047 7925788333 1667489397 (David Broadhurst, k=26)
- 17172 4025043752 6958946629 0059795332 2261972763 4790815562 9775066960 9098038797 (Phil Carmody, k=2806)
- 17210 2054500397 4689978643 7570809004 2429190995 7570826214 4483691393 2260787649 (David Broadhurst, k=96)
- 17214 9353671231 1482320843 3668557865 8139862911 6359309546 7026897853 1020360317 (Phil Carmody, k=1042)
- 17243 2465534051 2751682855 1084813346 3237873306 2474345575 0132232044 0097112477 (Norm Dresner, k=12826)
- 17295 9271079246 1376677989 6212823299 1745779719 0780318673 6694301936 2145165921 (Patrick Demichel, k=2161040)
- 17392 0960280087 4532143394 1493084001 6665016529 1066985355 7598341990 1809823327 (David Broadhurst, k=1)
- 17409 4974471317 1935854567 3726950130 0862158204 2177076522 7952567692 1572024179 (Patrick Demichel, k=158723)
- 17412 7728122207 4528893340 2496250249 8290193696 3740157624 7246894890 6101469259 (David Broadhurst, k=11)
- 17851 8070278445 2083408736 0438484401 9561515598 0438502253 7631794043 2521893139 (John Gamble, k=16379)
- 17885 8211417885 8211417886 0000000000 0000000000 0000017885 8211417885 8211417887 (David Broadhurst, k=1)
- 17892 9746565174 6281196661 7819299928 9650866248 1103051933 4907685915 7076682099 (David Broadhurst, k=1)
- 18015 8434017552 9467149058 7682732556 5055491433 1119299049 0797873239 5652402373 (David Broadhurst, k=14)
- 18036 0451613354 6854934888 9027061930 3368689210 5212349155 8049297253 4373994157 (Phil Carmody, k=1062)
- 18252 7786681648 2223218252 9611959515 0388040484 9611977767 8174722133 1835177769 (David Broadhurst, k=4)
- 18277 6682785206 5706183974 1379763505 8620236494 1379781783 5303021700 7085947481 (David Broadhurst, k=60)
- 18340 0810291795 4332793102 7475833483 4829286231 6632438236 4356238315 6108555041 (David Broadhurst, k=80)
- 18367 6432728362 0541564458 5706310786 6533869685 8812608000 0831689730 0832930847 (David Broadhurst, k=7)
- 18384 6176647809 0520317112 8932375661 9863734014 3664687672 2066841664 9414984077 (Phil Carmody, k=2006)
- 18466 4889812537 5502332474 7373278492 6083517717 8495352531 1733971357 7198927303 (Patrick Demichel, k=466289)
- 18513 4870264315 5401428856 9790398180 3648578223 6671101773 1012817795 7707919731 (David Broadhurst, k=85)
- 18591 3317594850 7363671237 2561123169 2561123169 2561104577 9243528318 5197451933 (Patrick Demichel, k=8294)
- 18683 3731533823 2515574098 9903898043 0096101956 9903916726 3827635780 2419472143 (Phil Carmody, k=181)
- 18769 6066823050 4092693256 9792781326 1795125510 4957739956 6170075814 0850105063 (Patrick Demichel, k=8519)
- 18927 3418574201 9786333516 1809692522 3580793618 2034569675 7379683444 5138892853 (Patrick Demichel, k=214234)
- 18964 6019132716 2916170289 8744608125 8744608125 8744589161 2725475409 5828437837 (David Broadhurst, k=2)
- 19105 5921560245 1660360211 8793628085 7915578083 8229263903 2520687687 5686846321 (David Broadhurst, k=40)
- 19276 9146635432 8071318091 6904940988 3095059011 6904960265 2241694444 4976259081 (Patrick Demichel, k=1354260)
- 19395 2461958607 0095950568 6563347046 5779070480 5835767353 7621185239 4721032093 (Phil Carmody, k=262)
- 19514 7188726710 6103212311 1344237200 7121345734 6799573598 6775422439 4667462491 (David Broadhurst, k=5)
- 19572 8009190658 7541359015 2277227722 7722772277 2277247295 5731962935 9818586739 (Phil Carmody, k=2481)
- 19632 0001605033 5372257013 1561314278 8438685721 1561333910 8440290754 6933571293 (Patrick Demichel, k=1957246)
- 19778 4713129515 1935098834 5484350519 6075357305 5534452659 4372287423 0663821329 (Phil Carmody, k=4904)
- 19823 3107341155 1566513076 5330433613 5701163198 4629633151 0287015526 4786332891 (Patrick Demichel, k=79565)
- 19885 3380248551 8771142006 5513385800 5690421124 4405271045 8844383924 0007061543 (Phil Carmody, k=1179)
- 20187 3996693972 1172364470 5144927152 9744712209 7475171906 4654144119 5984150927 (David Broadhurst, k=1)
- 20218 1908086119 3121438707 4873794522 2623504249 4253342862 3838960832 8618244863 (Patrick Demichel, k=73747)
- 20254 8236926874 0620371229 3914686565 7221104890 4744418375 0471344819 9920375699 (David Broadhurst, k=1)
- 20380 0954932584 1240231618 7784259783 4760083015 4826420065 6524917510 8959640093 (David Broadhurst, k=46)
- 20568 3071648480 7028280717 6737380517 1226866812 4009287044 5418310799 9174871727 (David Broadhurst, k=1)
- 20707 8630963007 7364253568 3437134852 6854873599 7529100786 0855963560 4518464677 (Patrick Demichel, k=44186)
- 20984 3250204967 2308824531 9799876438 6772753096 7647806355 1639752643 4915324329 (Patrick Demichel, k=1525588)
- 21078 2227001930 3397618971 7505236971 8172922565 7536466911 9436276096 3738132899 (Patrick Demichel, k=6381)
- 21096 3688333081 7058924837 4188741887 4188741887 4188720791 0500408805 7129817051 (David Broadhurst, k=25)
- 21531 7274062367 9556840744 2110119815 5553049739 1000862686 1276287420 6001154567 (Phil Carmody, k=2317)
- 21703 2779508762 8217942202 1971106643 1886566274 0672980229 1307894640 5562503531 (Patrick Demichel, k=1629435)
- 21727 5600775314 0864840898 4048474872 7964636389 9113137787 6911945039 5496167971 (Phil Carmody, k=515)
- 21769 8377466011 2820625999 6837264328 1992679097 5518691776 3381595980 7461500733 (Patrick Demichel, k=147514)
- 21828 8176874435 3414589261 9013150168 3230625688 0010718793 6952392350 3444051717 (Phil Carmody, k=686)
- 21834 2513933156 3325309535 0731707317 0731707317 0731685482 8217774160 7406397783 (Phil Carmody, k=269)
- 22000 8734741031 0120835862 0395996040 0395996040 0395974039 1661255009 0275160179 (David Broadhurst, k=1)
- 22037 0834979733 1788603336 2324281791 4018298290 2842486608 8803845852 9500110493 (Norm Dresner, k=11374)
- 22039 7724549140 6289008211 0186067484 0920902449 8524386723 5783602370 0024767049 (John Gamble, k=15676)
- 22253 6607097550 2965164228 5472586314 6257581173 6724409147 3201474768 3620149413 (David Broadhurst, k=2)
- 22339 8203503407 0580029950 0686378911 0740651570 2743399732 7602119782 8873700009 (Patrick Demichel, k=1599196)
- 22350 6804323084 8071957770 0630019232 1523802507 2388098541 9973244876 7664676943 (David Broadhurst, k=59)
- 22565 7370349616 8491755582 0013577257 9116220915 1637033709 9400665139 4237350611 (Patrick Demichel, k=495395)
- 22844 7263545520 0414378459 6700311794 5375859982 9702780522 0279544602 1947554933 (Patrick Demichel, k=791454)
- 22938 4756121317 6152844226 5460863239 7209031919 1903128956 9570313096 1305643247 (Phil Carmody, k=281)
- 23189 1511833046 2036365827 4721032661 2028788309 5055524021 1754287241 6794584729 (Phil Carmody, k=436)
- 23213 3054287049 6820233174 3380351878 1919334444 7814239079 9284560633 3775273459 (David Broadhurst, k=1)
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