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Known 77-digit prime factors of Googolplex + 10
Alpertron
Number Theory
Known 77-digit prime factors of Googolplex + 10
This is a list of known
77-digit prime factors of googolplex + 10, i.e., 1010^100 + 10.
These numbers have the form 1 + 2k ∏i p i e i ,
where p i is a prime factor of 10100 − 1
and e i is zero or one.
The list of prime factors of 10100 − 1 is: 3, 3, 11,
41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801,
18 2521213001, 1410 3673319201, 7887 5943472201 and 168058 8011350901.
In the list you can see the prime factors, their discoverer and their corresponding value of k .
1002220 0815621396 1546002210 0593613239 9406386760 0594615460 0222008156 2139615451 (Phil Carmody, k=275)
1002783 6890534199 8650378394 8127964755 5074311412 9424453471 2109269166 4920137797 (Patrick Demichel, k=77678)
1003257 5791798961 1060074167 0938477734 8946792920 0064380040 5703004253 8916217863 (Patrick Demichel, k=95389)
1005042 6111257152 7547319688 4168867766 1858110794 0741567902 8575538900 2836687521 (Phil Carmody, k=240)
1022646 9897744990 6143120093 8553468373 1858174711 1677802150 4298146759 7418973451 (Phil Carmody, k=2275)
1026479 4056812268 7703269155 1517956135 7935930092 6052918833 6191411241 0203949731 (Patrick Demichel, k=40855)
1034015 2259843986 7253863786 3076861084 0735087431 2762463080 6425540063 4602823183 (David Broadhurst, k=19)
1034996 5083028567 4256701769 4002805414 0452244073 5977887140 7569342901 9096790739 (Patrick Demichel, k=59831)
1038276 8906925016 7405226991 2151900669 4214446421 1596477223 5058255100 4023663881 (Patrick Demichel, k=1829260)
1042247 9932035758 1221937728 4651362014 7201792759 9801851406 6071275679 5422718173 (Patrick Demichel, k=1379666)
1048993 2830598742 1562840277 4770503446 7297723273 6574204680 4395907378 9884246379 (Patrick Demichel, k=1079391)
1049089 0938908940 9158983486 9316039015 9208216871 1051405074 9687041544 6748937961 (Phil Carmody, k=2860)
1071053 6955057251 0136236212 6364500030 6364500030 6363428976 9409442779 6228263819 (David Broadhurst, k=1)
1075264 8131470305 0429617814 7971967367 6249925778 9117782320 6296838422 6844373157 (David Broadhurst, k=26)
1076761 0203784978 5414658580 7095549278 1243242804 1586652283 4868402589 0304925543 (Patrick Demichel, k=585929)
1080887 1657982326 8161365885 1821079166 9669684744 6561034136 3748754210 6687601729 (Patrick Demichel, k=107168)
1085278 3011615542 2712110478 2769441140 2769441140 2768355861 9757825598 0057330663 (David Broadhurst, k=1)
1090101 9880585080 3265558175 7316600362 4487695739 1137094467 6980051006 2922884983 (David Broadhurst, k=1)
1095270 9042361037 5900313472 6268569227 9794225068 2886359728 5803358705 3361375339 (David Broadhurst, k=51)
1099460 1967297227 4273024340 3224868147 0832468669 2759918789 4566458630 6011228373 (Patrick Demichel, k=200494)
1125075 0830538499 0786636345 5463484695 9162146429 5246332928 1087079199 8937808343 (David Broadhurst, k=7)
1125807 4059720048 7136348889 1832553131 9767586632 7527261408 8923894092 6574099939 (David Broadhurst, k=29)
1127802 2667217751 4838222740 1411290993 4942846208 8818285586 6629880602 3515283023 (David Broadhurst, k=1)
1128684 8391681623 4085885253 5411185200 6005529265 6390383869 9754924987 9654217499 (Patrick Demichel, k=1970923)
1129503 4648091362 7722187352 2760729588 2760729588 2759600084 8112638225 5038542237 (Patrick Demichel, k=362742)
1151332 2714483272 5730716565 3479365410 0058029738 3752990278 2079707046 7905821357 (David Broadhurst, k=38)
1170650 9495125277 4863459712 8802634047 8202036416 3293018452 5096264726 6797825201 (Patrick Demichel, k=2037400)
1178016 6781676706 6633208524 2144694174 2144694174 2143516157 5363017467 5511485651 (David Broadhurst, k=25)
1185948 1208121807 5955941511 4686213701 1296049489 1668481494 8103911733 6934895767 (Phil Carmody, k=167)
1197192 5365880605 3627237841 9587126296 0412873703 9588323488 5778754309 3214364139 (Patrick Demichel, k=193673)
1200320 2878317142 8875031353 9469076532 0530923467 9470276852 3409240610 8344107887 (Patrick Demichel, k=1300411)
1202556 2521032386 2811352981 9319327854 6331280045 8680675099 1778375149 6268931049 (Patrick Demichel, k=1477436)
1202765 3057960412 5966642536 2481552789 4040821997 3253253922 7320581589 2488070089 (Patrick Demichel, k=1578548)
1204793 6268721758 2933908559 9832861883 6491660706 0938830188 3784184990 9829927933 (David Broadhurst, k=2)
1213400 7893311144 9170775635 1294643490 3318440270 8746135040 0316641996 0231176019 (David Broadhurst, k=1)
1226869 3387918621 4406392357 2430290357 4413850868 9095448827 7576337240 0506716677 (Phil Carmody, k=402)
1241759 4346229013 9618801386 9672529394 6166553298 9990012734 7836260540 0173249921 (Phil Carmody, k=2240)
1256914 6658731210 8959926315 8621090455 9213600304 0331809122 3886317643 6872722579 (Patrick Demichel, k=210831)
1257143 1307937254 6429682510 7380968409 6653262460 6788328117 4387940728 8671296837 (Patrick Demichel, k=5982)
1267191 3067533794 1809690394 5369771333 8676544242 2340615696 3457616025 7424622773 (Patrick Demichel, k=592734)
1269215 7075430379 4175865957 7254336477 3606468835 8513642769 8883062657 3823257041 (Phil Carmody, k=440)
1276844 8302282543 3731713104 3910461279 4579219553 3749313292 0172638982 2522791371 (Phil Carmody, k=145)
1279238 8560364549 3469123461 3170731707 3170731707 3169452468 4610367157 9701608247 (Patrick Demichel, k=262257)
1279791 3446099590 8847924609 3893997976 5607145386 9191522966 0925986035 0783125161 (David Broadhurst, k=20)
1282812 7085850818 3159980949 5718521951 5613141153 9883874372 5109305313 0955417903 (David Broadhurst, k=97)
1285705 3065933237 5782498033 6083440515 6800571989 7835142858 1822288154 5958313001 (Patrick Demichel, k=543500)
1301687 8721051793 9444719407 6114171951 7496350354 6278750362 9383214078 6499834303 (Patrick Demichel, k=1298137)
1317571 1024899814 3750565767 6190853296 3769550584 0426320520 3645462490 1191029957 (David Broadhurst, k=2)
1320449 5891161262 5740217408 9712940399 7306383210 4764789003 6757063168 9436093573 (Patrick Demichel, k=1038094)
1321452 0194838509 3899701245 9364881974 5551508767 6955261844 9037806653 8012257969 (David Broadhurst, k=8)
1326802 5691570774 8690264273 7325940193 4943406406 3959768951 1058431033 9461904207 (Patrick Demichel, k=212053)
1344920 7518044828 7147259925 2409950944 4856317503 6268469622 7456307724 2650337441 (Patrick Demichel, k=382640)
1349928 3438778217 9560699021 6949388276 3887597951 2964015831 5143822201 6726435293 (Patrick Demichel, k=9626)
1379897 2654873358 8626038923 3147410358 5657370517 9281488628 6309270067 4322168249 (Patrick Demichel, k=104076)
1390640 8686875388 3148946592 0006832325 4255038679 5821724126 6140490869 3485880487 (David Broadhurst, k=13)
1414582 7293934206 1152745898 8185932313 8925733158 9478182959 3173963562 6252247051 (Phil Carmody, k=2425)
1415930 4063815072 4541821187 0288166144 9711833855 0289582075 3775648927 4829987333 (Patrick Demichel, k=1920866)
1419484 1997916630 0891949371 0751092734 3754458404 5396277882 9216450703 3755401531 (Patrick Demichel, k=490135)
1429993 0090147190 5778088102 1244980680 4616723971 7392138633 2360255153 1001442011 (Patrick Demichel, k=160055)
1432737 0049879180 4628922535 4440685152 9580127384 0335666758 5825068920 7022917997 (Phil Carmody, k=1922)
1432882 9277208765 6703186931 2992449508 6736007588 5462227344 2643388897 1025398009 (Patrick Demichel, k=550716)
1449163 7323490207 3519142049 8970643746 1029356253 8972092909 8352846461 2489785797 (David Broadhurst, k=2)
1465461 1733936914 3113122941 8254394814 3281161633 4107751994 8784630274 0723535967 (David Broadhurst, k=37)
1481314 2724610608 6467681299 4593183362 5406816637 4594664676 8131427246 1060864663 (David Broadhurst, k=1)
1482715 6412163113 8790911695 3399413321 4604446847 2556983290 2255690841 6524362721 (Patrick Demichel, k=551440)
1485384 7286855483 8255585202 8441976160 9402183263 3915647032 7291496236 7525983357 (John Gamble, k=15766)
1497896 3947365599 3585069809 7709180914 5055831314 9083867276 9824148312 7459705543 (David Broadhurst, k=37)
1526869 4932679469 1448232834 0472505392 0044291333 5077782615 0691850754 7331130733 (Patrick Demichel, k=543574)
1528695 2588671304 7411328710 5458197191 4541802808 5459725886 7130474113 2869525903 (Patrick Demichel, k=9679)
1530349 2418707759 0334415408 0554545408 4494289053 5397093378 0303955365 6752756761 (Patrick Demichel, k=1841660)
1583985 1074277994 1630801521 9244061976 0867485857 0426818908 8879022622 8851556891 (David Broadhurst, k=5)
1589077 8159929564 4078553768 5084945703 7593749346 1655703298 0834321635 4218762063 (Patrick Demichel, k=1598749)
1594211 7987642123 9896942526 0000000000 0000000000 0001594211 7987642123 9896942527 (David Broadhurst, k=1)
1600518 3144660183 8690245463 3290780329 5526814357 2484292413 4514140166 5388690769 (Patrick Demichel, k=115496)
1625659 2268143951 0551807411 9742274144 3600561357 6721440904 8232161195 8669828961 (John Gamble, k=15120)
1633710 6421106923 3877065784 3762376237 6237623762 3764009948 2658730685 7639442023 (David Broadhurst, k=7)
1647963 6829221524 0319018414 4559831677 0147184260 3707284052 4549413682 6791867481 (Patrick Demichel, k=1331780)
1649478 9923418249 3595834820 9960043522 0052121450 6335493654 4579176537 2009826863 (Patrick Demichel, k=65499)
1658173 1522561708 3257068645 7125796070 6368322163 6689191985 2576163651 0330785717 (Phil Carmody, k=182)
1674057 1819759287 0435128207 1606345333 1136273841 1271042006 2713552075 6948984521 (Phil Carmody, k=260)
1689287 7097064226 6198582700 2562484066 7741766935 2999041791 0166615059 2778243997 (Patrick Demichel, k=2188066)
1696593 9224774109 4826020752 1575403790 2201542755 6888879384 5131808130 3427108379 (Patrick Demichel, k=1486123)
1721762 4662333449 5018092202 2770629654 0852461928 1293990405 9817019298 2250417967 (Phil Carmody, k=661)
1724456 4258534231 7589931007 0301484280 9698515719 0303208737 3957049950 7891415289 (Patrick Demichel, k=60836)
1732965 7223347721 3971725947 4178772360 6466342792 9027635608 2672735760 1692682767 (David Broadhurst, k=1)
1740826 7245885048 5757213468 5681932858 2928454758 6604203497 1313395883 9255052447 (Phil Carmody, k=931)
1757581 5508213186 5339344880 3496137547 5308013738 2394410856 5217595282 6511510567 (Patrick Demichel, k=79573)
1758910 3500478144 7071034809 8526148255 7111528322 0497924303 8792070026 4312678649 (Patrick Demichel, k=109756)
1770051 2324476105 7879134996 1925245285 4695443222 2093734692 4531441598 8411890973 (Phil Carmody, k=706)
1790212 9887790776 1093284636 8307077040 4647116733 3495469805 8236676198 8315853933 (David Broadhurst, k=2)
1799502 3600846496 1544450939 5160129465 6485550798 9472642573 4003451064 8950148623 (David Broadhurst, k=1)
1821316 3946300954 4494490398 3504938304 3493946905 5474613732 9884133985 0196064367 (David Broadhurst, k=7)
1848432 0931332055 7117448413 6088122742 3911877257 6089971174 4843209313 3205571157 (Patrick Demichel, k=963202)
1850014 4838242654 2386668920 3330088977 6669911022 3331938992 1508153676 5716757899 (David Broadhurst, k=1)
1871399 3747393122 7434401074 9724210825 7127588645 1780956520 0243544687 0075535081 (Phil Carmody, k=340)
1889991 6637662853 8646889972 7638496477 2361503522 7640386468 8999166376 6285386451 (Phil Carmody, k=325)
1915424 7932404345 4533199277 3205420713 3205420713 3203505288 5273016367 8672221437 (David Broadhurst, k=2)
1926314 2051135919 2215756097 2876563218 7123436781 2878489532 9174572700 5092319317 (David Broadhurst, k=2)
1943426 2948207171 3147410378 0000000000 0000000000 0001943426 2948207171 3147410379 (David Broadhurst, k=1)
1943457 4477812043 3317705550 3939265977 5588029697 7257895935 2119943836 9652067049 (Phil Carmody, k=988)
1955904 5643204640 1673733322 6870455337 0605127431 9451902431 4552852795 5612290689 (Patrick Demichel, k=6848)
1966929 0678317081 4491062386 2042496528 6464989014 0646165846 4950643185 9709148877 (Patrick Demichel, k=2244962)
1971641 0825702286 3764871393 1689135646 0178886516 6751089650 1227047663 9688545567 (David Broadhurst, k=41)
1972594 7725447319 4265972575 0465970064 9534029935 0467942659 7259477254 4731942641 (Patrick Demichel, k=421640)
1975388 8016634757 9300733796 9700078818 9700078818 9698103430 1683444061 0399345023 (Phil Carmody, k=1087)
1985458 0715342096 8703709796 7454802421 4031130630 3651125453 5890434578 0722963099 (Patrick Demichel, k=1710839)
2015250 8309695857 6760765779 4851485148 5148514851 4853500399 3458210709 1612250929 (Patrick Demichel, k=46424)
2023767 3519858116 9439611073 6862243641 4236252789 5069340871 0206834046 3807467131 (Patrick Demichel, k=2564365)
2034875 2352770232 0260777115 4690828194 9806933905 4837286623 9006012851 1749329143 (David Broadhurst, k=39)
2049569 6624375028 2468099654 1694738138 8295364277 7948003741 3553144289 0323316211 (Phil Carmody, k=145)
2056097 0632618450 0343308796 0808672333 9191327666 0810728430 9823946116 1151981131 (David Broadhurst, k=55)
2065537 7579478019 0486096677 2059473769 4146189271 2952280534 1710247185 7253440447 (Patrick Demichel, k=85511)
2074137 0193507724 8733726226 8204451288 8204451288 8202377151 8010943563 9470725063 (David Broadhurst, k=17)
2089826 2654661154 1210405972 0766376599 3910251077 3533312268 4877253124 3045649979 (Phil Carmody, k=311)
2094937 6644568653 2498705315 4031499021 9592921385 4000433475 4447815374 0830022809 (David Broadhurst, k=4)
2096229 9129458667 8872575583 0378035334 5706067334 4368867142 6003681623 8294445637 (Patrick Demichel, k=6466)
2167881 6578216852 1570547208 2133439572 5840093404 2159602690 5126022344 6589910047 (David Broadhurst, k=7)
2228414 6086861665 9323451173 5841584158 4158415841 5843812573 0245277507 5165035333 (David Broadhurst, k=2)
2239214 3314309636 4780446179 2957918420 7042081579 2960157635 0356391215 7738364601 (Phil Carmody, k=700)
2255305 7250466969 6806729299 9117035271 9117035271 9114779966 1866568302 2310305973 (Patrick Demichel, k=126554)
2255925 3207736903 3644852760 6290308821 3709691178 6292564746 6917428081 9935161583 (Norm Dresner, k=11059)
2283775 6364355773 7898527791 9590367044 5519495496 6233142537 8538475980 2623219299 (Phil Carmody, k=2451)
2291520 1010179388 9637648138 7314633940 5199966482 1021522721 8978652218 7138135893 (Phil Carmody, k=1862)
2325976 7286865085 3699664918 7147659240 3432374255 8137721972 5693917677 0256036531 (Patrick Demichel, k=1474015)
2346207 2395120533 4301459810 3564356435 6435643564 3566702642 8830764097 7865816247 (Phil Carmody, k=823)
2352090 0675491876 0237738650 9077925675 0922074324 9080277765 1597566200 9315664327 (Patrick Demichel, k=2552357)
2364449 6541551941 5568354741 0909090909 0909090909 0906726459 4367538967 5340736169 (David Broadhurst, k=36)
2370836 6462846162 9411468234 4824931646 9227546478 8819033873 1055802572 9590376441 (Patrick Demichel, k=1434820)
2375594 0778070837 7758542248 7842758626 2202999081 1565427715 7974808345 4203177197 (David Broadhurst, k=2)
2382986 9650265984 4114288698 0000000000 0000000000 0002382986 9650265984 4114288699 (David Broadhurst, k=19)
2405583 6931620312 4683798947 0687034383 6620648554 9286001322 8694359077 6462892779 (David Broadhurst, k=43)
2406404 3099776065 8095443081 7604748896 2395251103 7607155300 5495027169 5700191979 (Norm Dresner, k=10801)
2459933 6838991908 5024056488 6831569751 0594945294 2581644745 6499750404 5869005717 (David Broadhurst, k=86)
2476638 2378398349 9888417710 7219377404 6342883380 7296582041 2968469094 4860840173 (Phil Carmody, k=1262)
2487439 7242340426 1616975447 5887639347 2426032638 2487354786 5009548752 0027368161 (David Broadhurst, k=80)
2524717 3845966373 2652005641 6257644576 3742355423 6260169293 7588321796 8909650219 (Patrick Demichel, k=44581)
2591810 3459584802 9442236147 1932850332 1972690969 6472091191 1740197800 1693801437 (Patrick Demichel, k=352318)
2619975 0118470934 0790620001 2115972118 7884027881 2118592093 8002498815 2906592121 (David Broadhurst, k=20)
2633827 6981872930 1389476982 0000000000 0000000000 0002633827 6981872930 1389476983 (David Broadhurst, k=7)
2643564 9656631183 2173036109 2030451271 3667214469 5500913103 1834141852 5637555291 (Patrick Demichel, k=166315)
2695005 6793748719 7279962625 6661090953 6661090953 6658395947 9867342233 9381128329 (Phil Carmody, k=156)
2705300 8760433853 2071018271 3222822949 9680950053 5116771776 9875178643 3854239841 (Patrick Demichel, k=2993680)
2725075 1729201768 0298416208 4770616192 1293208594 3532434829 8670123362 9341131343 (Phil Carmody, k=307)
2754611 8334973244 4040960524 4920849964 2712943921 9811052121 0909011409 4598795139 (Patrick Demichel, k=353741)
2755395 0144844604 9855155422 5684346053 4315653946 5687101448 4460498551 5539501477 (David Broadhurst, k=2)
2778184 1712852437 4161624483 4002825104 3505036661 6769617198 4400930978 5956832411 (Patrick Demichel, k=1607445)
2784290 7829715432 5412557619 3252793576 6747206423 3255577867 4576921855 8665351197 (David Broadhurst, k=46)
2813442 3792312073 8094834710 8610672158 8610672158 8607858716 4818360085 0515837449 (David Broadhurst, k=4)
2820921 3422393847 7044772030 6957621337 4153508261 0941074860 5445821078 5325832247 (David Broadhurst, k=23)
2827920 2588938810 1884722572 9762060102 9762060102 9759232182 7173121292 7877337531 (Patrick Demichel, k=412205)
2873858 5797661775 7390809861 0240045184 9759954815 0242919043 5557616590 7630855047 (Phil Carmody, k=357)
2891361 6745710650 1706836787 5392866030 4607133969 5395757392 1352844619 7099702819 (David Broadhurst, k=13)
2895077 2688687235 8034002220 7096581666 4707894482 9140900623 5811332351 9184373009 (Patrick Demichel, k=7688)
2919576 1192100733 1054783604 8137735176 4576093065 4760649229 4645877635 2296507647 (Patrick Demichel, k=790781)
2974968 2152930774 5070096157 1002541654 8997458345 1005516623 1150389119 6072637813 (Phil Carmody, k=494)
2981727 8518771987 8839806901 2050891960 7949108039 2053873688 6467880027 0890698863 (Phil Carmody, k=1217)
3012498 5088461762 4246062024 0308330211 1543389972 1102130461 6494768847 1361072969 (David Broadhurst, k=4)
3024510 9339915605 3375728874 1626062974 6437655640 7417878364 4075131248 1360966419 (Phil Carmody, k=151)
3029473 0482511744 7020521498 9813254402 6970181481 0270541767 1014487926 1768645139 (Patrick Demichel, k=115951)
3057782 7088752692 1744150612 0000000000 0000000000 0003057782 7088752692 1744150613 (Patrick Demichel, k=65614)
3059800 4647796879 7604859036 7220391163 3550425559 2275702445 0227794217 4469970899 (David Broadhurst, k=1)
3090870 0001153639 5516019057 1515151515 1515151515 1512060645 1513997875 5999132459 (John Gamble, k=16823)
3095226 4040289566 8205144361 8413333330 8808734501 8845306384 1201008089 6919052899 (Patrick Demichel, k=2201961)
3103485 4107589656 2525581204 0322295847 9677704152 0325399333 3785293808 2847877053 (Patrick Demichel, k=52794)
3123518 5963727745 9162723487 3611868108 6388131891 3614991627 2351859637 2774591597 (David Broadhurst, k=2)
3126361 8940879971 8763399889 3356471841 5746910088 5863305639 0431528124 6784307013 (Paul Leyland, k=33594)
3150853 0815216051 2354386851 8807359553 4594578763 5957138922 0786706496 5152613099 (Paul Leyland, k=39803)
3205093 8615511444 5037447372 1684767767 7037716051 2013924176 8512580917 4448875263 (David Broadhurst, k=7)
3233600 5970295288 4559913786 5602199113 5642039751 0140798182 2898836096 0245472579 (David Broadhurst, k=1)
3254794 4907877365 1279876431 5316194977 6322609147 5106486596 6125315388 8697526527 (Phil Carmody, k=747)
3265184 3822638447 6492667267 6477553144 0609671928 3971509949 7149138166 9983041007 (Phil Carmody, k=2743)
3277698 2050115338 1777241309 9597344470 1419277549 4587394435 0313538575 7278480891 (David Broadhurst, k=65)
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9665106 6880321433 9840519311 3727249600 3915558557 9159386278 6668431834 4603986493 (Patrick Demichel, k=1695322)
9707205 5870357539 5583649892 0000000000 0000000000 0009707205 5870357539 5583649893 (David Broadhurst, k=2)
9784037 2756482081 5445653974 8151572965 5322887706 5671669406 3442899648 9279624171 (John Gamble, k=17995)
9812433 2026436721 8894306557 9602303208 0397696791 9612115641 2424133513 8496609767 (Patrick Demichel, k=57367)
9853513 8219348547 2033720745 9916971185 1256886155 0193875163 9981217980 3702243487 (David Broadhurst, k=31)
9915808 9384383329 1999746649 3117403483 2241743467 3360746867 7813670590 9196718561 (Patrick Demichel, k=53520)
9927847 1469982848 1974319769 5869282602 9317816005 7049830528 9100743907 4720291613 (David Broadhurst, k=14)
9990676 7460315515 6195130462 0000000000 0000000000 0009990676 7460315515 6195130463 (Norm Dresner, k=10397)
Phil Carmody is organizing a distributed computing project in order to find more factors of Googolplex + 10.
If you like these pages I would appreciate that you donate some idle cycles of your computer. You will be cited as the discoverer of the factors you find.
If you have any comment please fill the form .
Perl script written by Dario Alejandro Alpern. Last updated on October 5th, 2022.