Factores primos de Gúgolplex + 10 con 42 dígitos

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Teoría de números
Factores primos de Gúgolplex + 10 con 42 digitos

Esta es una lista de factores primos de 42 dígitos de gúgolplex + 10, es decir, 10^{10^100} + 10.

Estos números tienen la forma 1 + 2k ∏_i p_i^e_i, donde p_i es un factor primo de 10¹⁰⁰ − 1 y e_i 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.

10 0167044753 8975174975 7839000403 9030870173 (David Broadhurst, k=14)
10 0262771821 9130456738 6745290001 4940299543 (David Broadhurst, k=7)
10 0670830164 5883464081 7590330459 2219011649 (Phil Carmody, k=2336)
10 0871684200 3793818729 1370957717 2524083007 (Phil Carmody, k=2237)
10 0987015817 1448790007 8140190991 7302791053 (Patrick Demichel, k=24262)
10 1117894149 7796022066 4176034783 0358127877 (Patrick Demichel, k=319318)
10 1188072957 2972764595 2962651243 8529864567 (Patrick Demichel, k=104461)
10 1262964977 3865868991 4516803952 1913899929 (Phil Carmody, k=508)
10 1479544520 6271204838 0482790042 6031742127 (Patrick Demichel, k=126413)
10 1507276296 5720846494 4648431421 7019789287 (David Broadhurst, k=17)
10 1659824522 0233043819 9686929450 4988467881 (Norm Dresner, k=12260)
10 1924399930 0305693311 8746640694 8220652129 (Paul Leyland, k=38736)
10 2032913986 6449207887 1376695527 5457498529 (Patrick Demichel, k=1919696)
10 2335073291 0132161568 7739424914 9244579037 (Patrick Demichel, k=25906)
10 2677819506 0564072714 0416598543 5797672059 (Patrick Demichel, k=5881)
10 2795581575 3261284289 2965224467 5381353693 (David Broadhurst, k=2)
10 2927526576 5407147477 5473033018 8988893611 (Phil Carmody, k=535)
10 3092226268 7771141736 5827372658 8453219449 (Phil Carmody, k=388)
10 3184850654 4834191948 0806223796 5870640291 (David Broadhurst, k=5)
10 3397843537 5673996700 0331030678 4683753441 (David Broadhurst, k=80)
10 3605944293 0785967830 9623516192 8082492653 (Patrick Demichel, k=45654)
10 3636555023 2831899813 0019736178 5521028133 (Patrick Demichel, k=283934)
10 3821834825 1067427705 2698305824 7832293263 (David Broadhurst, k=1)
10 3950527202 8829804972 6029219730 3001091767 (David Broadhurst, k=1)
10 4310458886 7618172203 5241589531 0390754979 (David Broadhurst, k=1)
10 4495833499 1861186524 8175950674 0612577837 (Phil Carmody, k=2082)
10 4533199828 7969927272 7273772604 7255606973 (Phil Carmody, k=194)
10 4673171423 2751232511 0757840586 9515014281 (Phil Carmody, k=460)
10 4696237746 2602937243 5744932380 4380475957 (Patrick Demichel, k=83562)
10 4785121914 4053626751 9760207071 1454717517 (David Broadhurst, k=2)
10 4822351257 2995713834 8027491844 0821109721 (Patrick Demichel, k=61420)
10 4861371078 8386192099 2319525560 0030835761 (Patrick Demichel, k=1418920)
10 4905522319 7659097433 8127849560 5374274437 (David Broadhurst, k=2)
10 4950444812 9515771196 5339090504 9371567063 (David Broadhurst, k=17)
10 5435421227 5625568568 1402843723 1212696373 (Patrick Demichel, k=145222)
10 5601292700 3669799999 9998943987 0729963303 (Patrick Demichel, k=103499)
10 5670527384 5255543392 8889888668 8310803179 (Phil Carmody, k=3891)
10 5868762263 6536872540 9551854544 6585042487 (David Broadhurst, k=7)
10 5939878850 3496073609 1864056825 0407307779 (David Broadhurst, k=1)
10 6301550954 3686231285 1170231701 8841986049 (Patrick Demichel, k=231936)
10 6399155923 2146395079 5472321316 2063380809 (Phil Carmody, k=2956)
10 7188667966 5818525860 3507987530 2390477979 (David Broadhurst, k=71)
10 7286059342 0154508864 5092870894 9328808933 (David Broadhurst, k=2)
10 7374638153 4998446412 9954242981 7257768293 (Patrick Demichel, k=54094)
10 7678062502 5274295816 3288887670 4083957253 (David Broadhurst, k=2)
10 8181800010 8181800000 0001081818 0001081819 (David Broadhurst, k=1)
10 8202824978 4314319318 0628727328 3439494219 (Patrick Demichel, k=58291)
10 8224016385 9529996227 9621713987 7984200929 (Phil Carmody, k=1904)
10 8248197644 0248492635 1739681908 2072061293 (David Broadhurst, k=14)
10 8255274985 0359899765 1840764016 9544061223 (Phil Carmody, k=129)
10 8390944192 8630341950 4053055341 9188389211 (David Broadhurst, k=35)
10 8423527860 3284538875 4086450801 6260175727 (David Broadhurst, k=1)
10 8651145797 7049813571 0153085656 1212198161 (Phil Carmody, k=280)
10 8844779326 0015744005 7951106557 1739191973 (David Broadhurst, k=74)
10 9212589865 5943318355 3801643695 9551469133 (Phil Carmody, k=1822)
10 9552194420 2870023306 2329527784 2888594607 (Patrick Demichel, k=1880323)
11 0024055010 5747122510 0345903217 3699017413 (David Broadhurst, k=2)
11 0698987602 4949957063 4856660477 9261437971 (Patrick Demichel, k=20335)
11 0882131742 4093638476 1084220938 6053829971 (Patrick Demichel, k=42295)
11 0964260503 4675034381 1409974463 9231522293 (Patrick Demichel, k=94434)
11 1118875053 6440822292 4759930411 8449729579 (Patrick Demichel, k=2027093)
11 1354308481 5911345987 8084984956 2971607423 (Phil Carmody, k=2897)
11 1369916297 2315829660 6120979122 4339616373 (David Broadhurst, k=14)
11 1400868453 5279315525 2383464692 8505017611 (Patrick Demichel, k=78085)
11 1486247887 2621000000 0001114862 4788726211 (Phil Carmody, k=905)
11 1742726307 9920774791 6508669461 1746228613 (David Broadhurst, k=2)
11 2358582753 1844380996 5246166801 3216956773 (Phil Carmody, k=2994)
11 2479697939 6681167479 1534049793 8092140809 (Patrick Demichel, k=6476)
11 3105547300 6539379573 0916244202 0361338139 (David Broadhurst, k=1)
11 3395684262 2814443252 2122161014 2418171853 (Patrick Demichel, k=162374)
11 3437768108 2980606934 7044225126 3278009983 (Patrick Demichel, k=254527)
11 3471393285 0571330927 3195273381 6095335729 (David Broadhurst, k=8)
11 3818033876 0295189969 4898767296 3507297677 (David Broadhurst, k=2)
11 3972349323 9041098625 0138638348 5069889037 (David Broadhurst, k=2)
11 4309259866 5292988882 1900019239 4302435201 (Phil Carmody, k=1600)
11 4532232717 1851074683 0859529965 5723728653 (David Broadhurst, k=2)
11 4617407172 4370465581 2374462746 2621404327 (David Broadhurst, k=1)
11 4742778725 7662662248 9480724101 6665471619 (Patrick Demichel, k=923819)
11 4991055598 6095351156 5895176159 4728197809 (Phil Carmody, k=104)
11 5440234662 3261748509 4849794107 1384715893 (Phil Carmody, k=1426)
11 5930696771 9409100488 4693774171 7468276303 (Patrick Demichel, k=29897)
11 5964154041 6374572895 5886192071 7088734117 (Paul Leyland, k=36202)
11 6120593076 4629859144 1763418542 9095736623 (Patrick Demichel, k=692707)
11 6801863756 7001066932 2710331365 2511128179 (David Broadhurst, k=1)
11 7681946224 5590820027 5828551192 7191069641 (Phil Carmody, k=1820)
11 7696967251 1330390800 4347428327 8760607691 (David Broadhurst, k=5)
11 7744011430 3386646591 8018610864 0850731103 (Phil Carmody, k=1159)
11 8182759197 7847207854 9335699965 2047488921 (Patrick Demichel, k=1770620)
11 8253809525 0754619505 3428017479 7230875133 (David Broadhurst, k=2)
11 8300183009 8257439913 2499065576 7195274009 (David Broadhurst, k=4)
11 8433013064 4047952670 4826783799 0160290409 (Patrick Demichel, k=9836)
11 8592540937 9125923188 2750780050 8424572023 (Patrick Demichel, k=59791)
11 8808896264 9960361422 5807059113 6022352811 (David Broadhurst, k=95)
11 8972010486 2728813020 1300823300 0253385733 (David Broadhurst, k=2)
11 9204728856 4403772324 7016833384 7137342139 (David Broadhurst, k=1)
11 9706470768 7400810187 4479659547 6931954739 (Patrick Demichel, k=461341)
11 9743400783 3365174314 8302674745 4083208731 (David Broadhurst, k=5)
11 9747592604 0416018609 2154839080 8677674693 (David Broadhurst, k=2)
11 9841951753 0418224599 7541223019 2715328783 (Phil Carmody, k=3947)
11 9978835928 3570471832 7182072044 3590436129 (Patrick Demichel, k=53648)
12 0195715688 4192192252 7341264914 5204025329 (Phil Carmody, k=1896)
12 0416580024 5000151684 5006038486 4122684339 (Patrick Demichel, k=570201)
12 1009678203 2436902896 8739818479 4648232063 (Patrick Demichel, k=7209)
12 1063624930 7805122546 0618663312 2902864641 (Patrick Demichel, k=1704320)
12 1086014250 8027629642 1360893521 4825942903 (David Broadhurst, k=7)
12 1093073291 9212692615 1230156294 5118444331 (Phil Carmody, k=4555)
12 1162096162 1260370054 2944039414 8846981491 (David Broadhurst, k=5)
12 1192186591 3402334706 0958074713 5356494887 (Phil Carmody, k=147)
12 1468952947 1895399999 9998785310 4705281047 (David Broadhurst, k=7)
12 1687176486 1061663398 1058324271 2556472197 (David Broadhurst, k=2)
12 1934668249 9716368645 5485766866 4631348287 (Phil Carmody, k=327)
12 2225872644 4341044201 6083932150 2970990167 (Patrick Demichel, k=29323)
12 2380626943 3299917421 6674343988 4304269053 (David Broadhurst, k=2)
12 2472163114 9639968743 0907553155 8720497573 (Phil Carmody, k=1974)
12 2479024630 5899433832 9890825448 4863892863 (David Broadhurst, k=79)
12 2919431036 3597286819 2271221606 9898929213 (Patrick Demichel, k=669946)
12 2969472637 2563998836 0487954375 6573900093 (David Broadhurst, k=2)
12 3278242586 1973847514 9755338747 0979431009 (Phil Carmody, k=816)
12 3522447976 7524924969 2495689744 7699249721 (David Broadhurst, k=20)
12 3607046348 2513945911 1735089019 7646328997 (David Broadhurst, k=38)
12 3718257611 1606425611 8515434834 6159881931 (Paul Leyland, k=34185)
12 4039166762 6543616209 4281402124 6852951379 (David Broadhurst, k=1)
12 4111224017 5168287130 9250834115 6437205049 (Phil Carmody, k=156)
12 4113760683 8761550865 6393969853 1359283303 (Phil Carmody, k=311)
12 4462752039 9188501969 3920327632 8284096609 (Phil Carmody, k=2256)
12 4537653760 9024118369 1835672992 6460828129 (Phil Carmody, k=496)
12 4541561020 6284994142 2340010075 7723696037 (Patrick Demichel, k=114778)
12 4694075519 6599907929 3527141663 4938429517 (Patrick Demichel, k=2713062)
12 4712441044 5335158162 4515571127 5774042117 (Patrick Demichel, k=75238)
12 4871007733 9433879026 4413335378 5661847423 (David Broadhurst, k=89)
12 5457492255 8939906468 0948051951 6776392619 (David Broadhurst, k=23)
12 5525508180 5550313532 2347632465 6613446179 (Phil Carmody, k=691)
12 5627458035 7686638680 2453876168 3583865293 (Patrick Demichel, k=1699914)
12 5888591448 2972390220 3752621929 6270357957 (Phil Carmody, k=926)
12 6323995693 5284058729 6071220871 6418088517 (Patrick Demichel, k=209982)
12 6476232124 6273989229 8556006397 6409849397 (Patrick Demichel, k=249866)
12 7545624542 4957364024 5287075701 6984247099 (David Broadhurst, k=29)
12 7822009400 6883218775 8123696995 9062487609 (Phil Carmody, k=436)
12 7835205651 9245609767 9814244466 8571059979 (Phil Carmody, k=3381)
12 7964201606 4219181673 3069008725 6814028647 (David Broadhurst, k=17)
12 7982909266 9267265742 3580104143 0221192609 (David Broadhurst, k=16)
12 8242251284 8310148470 5154230893 0281431573 (David Broadhurst, k=2)
12 8603623752 4756009458 6080093333 8286705527 (David Broadhurst, k=91)
12 8859699555 8171177939 0538916044 7302146077 (Patrick Demichel, k=431206)
12 9236790772 5903718983 0971508562 1601260093 (David Broadhurst, k=86)
12 9243489247 2369644362 3746296599 4640569779 (David Broadhurst, k=1)
12 9805568895 6529372800 0926990445 9979679983 (David Broadhurst, k=37)
13 0271473094 6969519861 5768263158 5567346183 (David Broadhurst, k=1)
13 0382433397 4753117908 0367636618 4919861339 (David Broadhurst, k=1)
13 1069629741 4263222953 1815192827 2716655819 (Patrick Demichel, k=985721)
13 1341201647 8733844993 5024356376 7631713019 (David Broadhurst, k=79)
13 1454798762 5796333139 6368079466 2026545077 (Patrick Demichel, k=65702)
13 1787092320 0317937974 2147250297 5794622453 (Patrick Demichel, k=487786)
13 1787318666 4702767496 5379613255 6766803093 (Phil Carmody, k=1766)
13 1835984917 8666500423 1796399797 0128711853 (David Broadhurst, k=2)
13 1855655778 5528407366 5205125628 3946946183 (David Broadhurst, k=7)
13 2025043497 1649562083 3607733545 8224954569 (Patrick Demichel, k=104596)
13 2526296053 9665960189 0740556957 2907823503 (David Broadhurst, k=59)
13 2667342336 9282670791 0541958118 5548467849 (David Broadhurst, k=76)
13 2683629779 2999609590 4715488660 4399508837 (David Broadhurst, k=2)
13 2766628170 9645564256 1998423081 5919381179 (David Broadhurst, k=11)
13 3471099806 5617543746 1049620558 1576443933 (David Broadhurst, k=2)
13 3515265919 6298600026 1382143374 1941322041 (Paul Leyland, k=34220)
13 3565037910 9573770540 4871658358 7536888651 (David Broadhurst, k=25)
13 3565961424 3962614056 1410123814 4456134641 (Phil Carmody, k=280)
13 3616337723 0671233460 8395788672 8959003863 (David Broadhurst, k=1)
13 3751412854 2289344263 3534954158 8561379173 (David Broadhurst, k=2)
13 3851407908 0008869948 8151116559 1092841811 (Patrick Demichel, k=8335)
13 3862703038 7943866732 8296205807 4054665983 (David Broadhurst, k=17)
13 3884786516 8485271868 8027873308 8260906059 (David Broadhurst, k=1)
13 4032829189 3469796270 8448490059 9269382127 (Patrick Demichel, k=198763)
13 4489173995 2614200944 9366610623 0196681091 (Phil Carmody, k=1465)
13 5012875115 9698297506 8152954217 6570067489 (Patrick Demichel, k=1421008)
13 5081171508 8864372693 7268021882 0118484051 (Patrick Demichel, k=332725)
13 5472107486 9589036613 8285874451 1567985131 (David Broadhurst, k=5)
13 5965313293 3626196461 3027060385 3739238459 (Patrick Demichel, k=79711)
13 6047661746 6853800000 0001360476 6174668539 (David Broadhurst, k=1)
13 6300262398 4004933204 9682252057 9187408971 (David Broadhurst, k=15)
13 8399107740 2254239357 8374460702 4892552983 (David Broadhurst, k=19)
13 9156451870 1773426570 4488596005 9931872037 (John Gamble, k=17662)
14 0042073164 7977399487 7821546522 0594793207 (Patrick Demichel, k=1314967)
14 0414221799 1037189370 0984444856 0208670407 (John Gamble, k=14401)
14 1389091366 1412473577 0992545793 0969163569 (Phil Carmody, k=1896)
14 1410054224 1469831681 0539840798 3549370259 (David Broadhurst, k=13)
14 1415576405 0576398945 9862854696 5392797463 (Phil Carmody, k=829)
14 1677590407 3593204720 1294096480 1988188531 (Patrick Demichel, k=75185)
14 1754130172 6024646706 2317499808 8085541481 (Patrick Demichel, k=651260)
14 3447173337 7875991449 9143556978 1811212691 (Paul Leyland, k=37405)
14 3552750423 6683498040 9802662513 4761731207 (Patrick Demichel, k=441481)
14 4008999458 3875973034 8336770104 3246106613 (Patrick Demichel, k=1663494)
14 4076260657 3451434409 0503797571 2618913853 (Phil Carmody, k=2122)
14 4195316260 1590998308 2536308935 0685181329 (Patrick Demichel, k=49096)
14 4458843305 5477320293 4491549368 7433468407 (Patrick Demichel, k=85827)
14 4827746527 0502403145 2837759916 3186825397 (David Broadhurst, k=2)
14 5167843370 2552354628 0576304836 9387896607 (David Broadhurst, k=1)
14 5410273954 4555140825 9590032976 5488939037 (Patrick Demichel, k=269502)
14 5505494267 4769417778 6578370517 2273708693 (Patrick Demichel, k=269094)
14 5761968634 0961099430 7821482619 3864938649 (David Broadhurst, k=4)
14 6060139052 8451052263 1111219873 3146085573 (David Broadhurst, k=46)
14 6651600412 1113847806 8447873685 3985626277 (Patrick Demichel, k=829902)
14 7063883134 8617313766 0810018061 1929854743 (David Broadhurst, k=1)
14 7232904091 4094688089 3841418722 2652553957 (Patrick Demichel, k=167866)
14 7919043037 4939988106 1961295949 5179672893 (Phil Carmody, k=4094)
14 7974867775 2157238591 2132646686 4315212733 (Phil Carmody, k=4214)
14 7986286426 1021354064 5658715927 8179172023 (Patrick Demichel, k=7147)
14 7993948155 3473761158 1096824364 5233588327 (Patrick Demichel, k=407807)
14 8920159876 6564567702 6531049442 7587573543 (David Broadhurst, k=1)
14 9091995739 6448034275 6573925195 6146398757 (Patrick Demichel, k=141562)
14 9137119381 4743409171 7844802553 6397375967 (David Broadhurst, k=1)
14 9787144371 9453840385 9214322483 1265438451 (Norm Dresner, k=13475)
14 9846469532 5629121770 9265294420 4503967939 (David Broadhurst, k=1)
14 9861775937 8914766780 3323465398 0915755929 (Phil Carmody, k=1364)
14 9916017643 8510398604 5494439598 0260691213 (David Broadhurst, k=26)
15 0089989291 4307560024 1210244190 9460595531 (Phil Carmody, k=1485)
15 0408768432 7337349689 7554456284 0012233877 (Patrick Demichel, k=130002)
15 0504848486 4596788461 3453840428 7384750169 (David Broadhurst, k=28)
15 0692178032 6318179847 4520143575 3082224209 (David Broadhurst, k=8)
15 0720835661 0700493140 3529160261 1242244931 (David Broadhurst, k=5)
15 0889580213 1087600000 0001508895 8021310877 (Phil Carmody, k=762)
15 0959452345 7850999999 9998490405 4765421491 (Paul Leyland, k=38455)
15 1251499352 6357865016 8285020731 1883392663 (Phil Carmody, k=631)
15 1292522924 9533795972 9502827155 3426216379 (David Broadhurst, k=1)
15 1332642192 2208960036 7165531252 6651503727 (Patrick Demichel, k=101547)
15 1433440739 0787412451 5189651273 6021094539 (Phil Carmody, k=2363)
15 1621598893 8109834319 8461540435 9330610663 (Patrick Demichel, k=20439)
15 1700191994 9743722620 5910790158 3377002529 (David Broadhurst, k=16)
15 2428265083 9849269674 6965945392 0459071183 (David Broadhurst, k=1)
15 2616533927 5332195112 6267804690 8304618739 (Patrick Demichel, k=229049)
15 2643498443 3240754099 5408427664 5565621693 (Phil Carmody, k=394)
15 2676164459 8605760651 1088831764 5877258293 (David Broadhurst, k=2)
15 4047834323 5367199891 1227266063 3230385371 (Patrick Demichel, k=147165)
15 4075925855 3621713546 1290502985 4185289333 (David Broadhurst, k=54)
15 4103378428 3812967347 6733226313 8891929219 (David Broadhurst, k=1)
15 4464041479 3239057366 1950205011 1876056877 (David Broadhurst, k=2)
15 4561076647 5645540917 2834687720 0265074921 (Patrick Demichel, k=178940)
15 4564558725 0287845090 5187719683 9969940223 (Phil Carmody, k=3169)
15 4823869665 7095957101 2878648909 2482406209 (Patrick Demichel, k=1130528)
15 4993244346 5798149838 6142800713 6317837607 (Phil Carmody, k=631)
15 5065771131 1006819123 5061311613 8866098117 (Phil Carmody, k=322)
15 5105453706 8332559537 1595885329 9775553317 (Patrick Demichel, k=90422)
15 5157174310 3512578086 0200917705 5718050663 (Patrick Demichel, k=2326877)
15 5208397497 5567352698 2978734264 3444069329 (Phil Carmody, k=104)
15 5224854770 7677022137 4251814601 7415138733 (David Broadhurst, k=2)
15 5737257674 5654473194 0192522987 1519182851 (Phil Carmody, k=475)
15 5752885305 6003375967 0844633375 1480897853 (David Broadhurst, k=2)
15 5991853877 3847138277 4347234880 1337759531 (David Broadhurst, k=5)
15 6316946113 8432986661 3526662978 2240069797 (Patrick Demichel, k=151202)
15 6388012513 9850400750 5060928492 1587243997 (Patrick Demichel, k=26442)
15 6853208837 5308547668 3286606598 3578808971 (Patrick Demichel, k=470365)
15 7538928465 8829800000 0001575389 2846588299 (Patrick Demichel, k=7729)
15 7565242622 8003231154 4874628655 3250534489 (Patrick Demichel, k=60756)
15 7588676645 1827104733 0512352665 6669964167 (David Broadhurst, k=7)
15 7750645458 3656201366 4242002832 1623877601 (Phil Carmody, k=1200)
15 7793464200 8485901267 3993205562 5598155487 (David Broadhurst, k=77)
15 7846781711 4512444034 9701667124 3010676013 (David Broadhurst, k=2)
15 7914631653 6536035585 2152465255 1352843487 (Phil Carmody, k=1433)
15 8113657750 2791196260 0375577396 6149024173 (Phil Carmody, k=994)
16 0114450353 4768131939 8674544042 1248585213 (Patrick Demichel, k=655286)
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