This is a list of known
18-digit prime factors of googolplex + 10, i.e., 1010^100 + 10.
These numbers have the form 1 + 2k ∏ipiei,
where pi is a prime factor of 10100 − 1
and ei 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.
10005512 8505716009 (Phil Carmody, k=1116)
10070706 9199565201 (Patrick Demichel, k=1732600)
10121032 8665281103 (David Broadhurst, k=1)
10350944 2668384329 (Patrick Demichel, k=5884)
10390185 0164540539 (Phil Carmody, k=2851)
10716475 1690556253 (David Broadhurst, k=14)
10890353 1991843321 (David Broadhurst, k=20)
11035611 3559705927 (Patrick Demichel, k=288761)
11043747 4552301887 (David Broadhurst, k=1)
11199132 3706419863 (David Broadhurst, k=1)
11628202 1595786619 (David Broadhurst, k=13)
11774543 4391110247 (Phil Carmody, k=427)
11835834 8972381281 (Patrick Demichel, k=112560)
11846589 4487008423 (Patrick Demichel, k=1656229)
11851674 7619872009 (David Broadhurst, k=76)
11887315 4238859703 (Norm Dresner, k=13991)
12001200 1200120013 (David Broadhurst, k=2)
12135618 5612375173 (David Broadhurst, k=2)
12148270 5309359491 (David Broadhurst, k=5)
12228223 8139326847 (David Broadhurst, k=7)
12290179 2722120281 (Patrick Demichel, k=142580)
12369777 9987630223 (Phil Carmody, k=289)
12396950 2997557207 (David Broadhurst, k=1)
12446660 8106205487 (David Broadhurst, k=1)
12536732 1199584481 (David Broadhurst, k=80)
12642806 3736680677 (Phil Carmody, k=142)
12761500 2945977179 (David Broadhurst, k=1)
12934131 4128480011 (David Broadhurst, k=5)
13013911 5567941899 (David Broadhurst, k=1)
13086391 2851534287 (David Broadhurst, k=1)
13086659 4176843053 (David Broadhurst, k=2)
13158746 5014410491 (David Broadhurst, k=5)
13199698 1536615801 (David Broadhurst, k=100)
13244465 0676898801 (Patrick Demichel, k=286600)
13487343 7617688969 (Patrick Demichel, k=146876)
13568724 1078623623 (Patrick Demichel, k=29521)
13718185 1291434921 (David Broadhurst, k=20)
13974615 6376782211 (Phil Carmody, k=1535)
14425600 8491531899 (David Broadhurst, k=13)
14467579 2073803409 (Paul Leyland, k=38008)
14669185 1036417053 (David Broadhurst, k=2)
14700683 1717162091 (David Broadhurst, k=5)
14731730 7040995499 (David Broadhurst, k=1)
15056199 9647884841 (David Broadhurst, k=20)
15341864 6862399641 (David Broadhurst, k=20)
15410415 1302539129 (David Broadhurst, k=4)
15678916 8642654013 (Phil Carmody, k=214)
16338595 2370691041 (David Broadhurst, k=80)
16355229 3503579971 (John Gamble, k=16915)
16424464 2154953823 (David Broadhurst, k=49)
16817567 4779930401 (Phil Carmody, k=400)
16944314 0991559423 (Phil Carmody, k=247)
16974552 3592235779 (David Broadhurst, k=1)
17175572 5018671487 (David Broadhurst, k=7)
17590134 3399825859 (David Broadhurst, k=1)
17653340 9239784167 (David Broadhurst, k=1)
17759511 5055688609 (Phil Carmody, k=688)
17844196 8962445607 (Patrick Demichel, k=277187)
17987829 8144948173 (Phil Carmody, k=2814)
18133187 4350656459 (David Broadhurst, k=13)
18315377 4520339237 (David Broadhurst, k=2)
18434747 8038236729 (David Broadhurst, k=4)
18586326 0018586327 (David Broadhurst, k=11)
18632747 5922326663 (Phil Carmody, k=4949)
18759095 2903133761 (Phil Carmody, k=160)
19064787 0118074689 (Patrick Demichel, k=348704)
19152991 8193709899 (Phil Carmody, k=2161)
19211427 8635421539 (David Broadhurst, k=1)
19280028 4765101157 (David Broadhurst, k=26)
19287957 9809710333 (David Broadhurst, k=14)
19404289 3134343573 (Patrick Demichel, k=5774)
19590759 5321362651 (David Broadhurst, k=25)
19657383 5947361423 (Patrick Demichel, k=147841)
20414170 9491024049 (David Broadhurst, k=8)
20546478 6053851927 (David Broadhurst, k=7)
20575214 9808770641 (David Broadhurst, k=40)
20894299 9633926739 (David Broadhurst, k=1)
21486603 9978513397 (David Broadhurst, k=2)
21558398 9425681529 (David Broadhurst, k=4)
+219135734428644361 (David Broadhurst using ECM)
(k=44923274790620)
22110783 3165290677 (Patrick Demichel, k=106766)
22358956 0561457971 (Phil Carmody, k=1145)
22907466 3032098841 (David Broadhurst, k=20)
23240012 4161082373 (David Broadhurst, k=2)
23530652 2086835453 (Patrick Demichel, k=804442)
23543509 1108367811 (Patrick Demichel, k=441485)
23933515 7784888397 (Patrick Demichel, k=122402)
24320577 9797620499 (Patrick Demichel, k=254669)
24542242 4353013983 (Patrick Demichel, k=174809)
25022976 4163788837 (Phil Carmody, k=1106)
25314076 7322959407 (David Broadhurst, k=1)
25975536 6143102611 (Phil Carmody, k=3235)
26079416 8645039921 (David Broadhurst, k=40)
26127328 8491943047 (David Broadhurst, k=43)
26127890 3209104463 (David Broadhurst, k=97)
26202841 7481972241 (David Broadhurst, k=40)
26372194 5585276487 (David Broadhurst, k=77)
26446198 0630200373 (Phil Carmody, k=1994)
26663390 2703963917 (David Broadhurst, k=2)
+267003239205288169 (David Broadhurst using ECM)
(k=32890273368476)
27346562 0780734247 (Phil Carmody, k=223)
27450153 0661547647 (Phil Carmody, k=18687)
27589223 1474754291 (Patrick Demichel, k=1988505)
27683595 5744674129 (David Broadhurst, k=8)
28151969 1821039251 (Phil Carmody, k=2875)
28214601 4560039517 (David Broadhurst, k=62)
28482490 3853155117 (Phil Carmody, k=106)
28759970 3178926653 (Phil Carmody, k=3622)
28995786 8642381837 (Phil Carmody, k=1118)
29073018 0029073019 (David Broadhurst, k=13)
29238764 0236317931 (David Broadhurst, k=5)
29265702 6270797299 (Patrick Demichel, k=23161)
29402547 1444566739 (Patrick Demichel, k=100461)
29408373 6424066117 (David Broadhurst, k=2)
29578197 6205013929 (David Broadhurst, k=28)
29742687 5949998929 (David Broadhurst, k=56)
29964664 3339744447 (David Broadhurst, k=1)
30114062 0030114063 (David Broadhurst, k=1)
30938808 3348960727 (David Broadhurst, k=1)
31003514 3656767973 (David Broadhurst, k=2)
31008539 0922097649 (Phil Carmody, k=104)
+315073697412756811
(k=116435217077885)
31566418 2372031769 (David Broadhurst, k=4)
31659070 7773218979 (David Broadhurst, k=1)
31665238 9774002019 (David Broadhurst, k=1)
32112622 8615337489 (David Broadhurst, k=56)
32291930 4205354583 (Phil Carmody, k=121)
32547742 6369181407 (David Broadhurst, k=1)
32569113 3171612499 (David Broadhurst, k=81)
32854146 8783634019 (David Broadhurst, k=1)
32966363 9117970601 (David Broadhurst, k=100)
33272064 1973116849 (David Broadhurst, k=8)
34584264 1712076499 (David Broadhurst, k=1)
35029872 7458205223 (David Broadhurst, k=1)
35099895 6405538409 (Patrick Demichel, k=82244)
35468540 0488131637 (Phil Carmody, k=406)
35788683 0313909447 (Patrick Demichel, k=94021)
35902360 7170554481 (Patrick Demichel, k=87080)
36220673 7601337521 (David Broadhurst, k=40)
36493832 1377647583 (David Broadhurst, k=1)
36724116 0036724117 (David Broadhurst, k=26)
37603140 1038098527 (Patrick Demichel, k=9401)
37691365 6315666499 (David Broadhurst, k=49)
37720673 4763664647 (David Broadhurst, k=31)
37721739 9707976739 (David Broadhurst, k=43)
37873447 9776724699 (Phil Carmody, k=2321)
37900228 2960726613 (Phil Carmody, k=874)
38276570 5295670091 (David Broadhurst, k=5)
38619620 8950290491 (David Broadhurst, k=5)
38741083 2482784133 (David Broadhurst, k=22)
38823011 5260511801 (Phil Carmody, k=3100)
39804130 6222822133 (David Broadhurst, k=26)
39946480 8151488503 (Patrick Demichel, k=55241)
39994499 7230417299 (David Broadhurst, k=1)
40106739 3914069167 (David Broadhurst, k=1)
40154265 3135513979 (David Broadhurst, k=1)
40934600 0875547293 (Phil Carmody, k=4562)
40961397 5674963093 (Phil Carmody, k=114)
41073138 0041073139 (David Broadhurst, k=1)
41455031 2153666921 (Phil Carmody, k=140)
41641593 8169740521 (David Broadhurst, k=20)
42692061 9189825641 (David Broadhurst, k=20)
42807386 5893474211 (Paul Leyland, k=30495)
42997246 2108781237 (David Broadhurst, k=2)
43315580 9208613303 (Phil Carmody, k=119)
44053662 1964415143 (David Broadhurst, k=1)
44586184 3063982731 (Phil Carmody, k=1435)
45277586 6621389081 (Phil Carmody, k=19180)
45322522 1030842327 (David Broadhurst, k=47)
45356576 7149537401 (Patrick Demichel, k=1172300)
45838011 3352639813 (Phil Carmody, k=114)
45985718 8478772659 (Patrick Demichel, k=43169)
46415898 8915900983 (Phil Carmody, k=1987)
46759174 5341520277 (Patrick Demichel, k=64886)
47431016 2347247477 (Phil Carmody, k=1762)
50037258 5641019653 (David Broadhurst, k=2)
50209946 9262296929 (David Broadhurst, k=16)
51300031 8848979881 (Patrick Demichel, k=1870340)
52014142 5794588401 (Patrick Demichel, k=1941400)
+528409639473126379 (David Broadhurst using ECM)
(k=29543198002523)
53575823 1146990729 (David Broadhurst, k=4)
54549446 9415875167 (David Broadhurst, k=1)
54765907 2397225933 (Phil Carmody, k=442)
55322225 4490132321 (Phil Carmody, k=240)
55732176 4048693447 (Phil Carmody, k=1171)
55758978 0055758979 (David Broadhurst, k=11)
56618570 3620975007 (Phil Carmody, k=493)
57059673 9942940327 (Patrick Demichel, k=8057)
57292921 2872000009 (David Broadhurst, k=4)
57967103 1961244413 (David Broadhurst, k=14)
58197525 2787330931 (David Broadhurst, k=5)
58296946 8943359983 (David Broadhurst, k=1)
58298231 3437636729 (David Broadhurst, k=28)
59018772 0059018773 (Phil Carmody, k=1082)
59081061 9662705927 (Phil Carmody, k=1753)
59408947 6814540477 (Phil Carmody, k=238)
59576333 8683858769 (Patrick Demichel, k=3031576)
59578027 6525810927 (David Broadhurst, k=1)
59887929 5722397167 (Patrick Demichel, k=1708621)
59951874 8968073903 (David Broadhurst, k=1)
60211100 0630671423 (Phil Carmody, k=557)
60450301 8251932823 (David Broadhurst, k=1)
60710145 4410834571 (Phil Carmody, k=2945)
62691688 1448830303 (David Broadhurst, k=1)
62768725 7367656971 (David Broadhurst, k=15)
63859395 2143067317 (David Broadhurst, k=2)
64846138 2837123367 (David Broadhurst, k=7)
64916220 7193629093 (David Broadhurst, k=2)
65258018 8812070927 (David Broadhurst, k=11)
65788061 5638555167 (David Broadhurst, k=13)
66128626 0150673543 (Phil Carmody, k=161)
66194283 8861858093 (Phil Carmody, k=4886)
66255137 2419069047 (Phil Carmody, k=1483)
66745902 0868063447 (David Broadhurst, k=1)
67255530 3231657823 (David Broadhurst, k=9)
67865335 1354994049 (Phil Carmody, k=576)
68255145 7733942743 (David Broadhurst, k=37)
70407751 4292735881 (Phil Carmody, k=2140)
71270365 2134820127 (David Broadhurst, k=1)
71930203 2525687733 (Patrick Demichel, k=691974)
72000720 0072000721 (David Broadhurst, k=40)
73597794 0532462813 (Patrick Demichel, k=47902)
74679964 8637232917 (David Broadhurst, k=2)
75469688 8182249253 (Phil Carmody, k=3082)
76409198 0868488407 (David Broadhurst, k=1)
76437391 5523575397 (Phil Carmody, k=442)
76997413 6460312081 (Phil Carmody, k=440)
79179213 9732416167 (David Broadhurst, k=1)
79540941 6284095423 (David Broadhurst, k=29)
+799168560350388247 (David Broadhurst using ECM)
(k=176885471525097)
80138565 3117583579 (Paul Leyland, k=38693)
80411987 6889284983 (Phil Carmody, k=247)
80609308 7906837287 (Patrick Demichel, k=1263307)
81219170 5043569489 (Phil Carmody, k=3816)
81357632 4282208819 (Phil Carmody, k=613)
81492409 6265710663 (David Broadhurst, k=7)
81645179 0094183853 (Patrick Demichel, k=776454)
82817394 1282515277 (David Broadhurst, k=2)
83013291 7900489477 (Patrick Demichel, k=234962)
83693822 8389548407 (David Broadhurst, k=1)
84755588 0876834797 (David Broadhurst, k=2)
84804589 6718467957 (Phil Carmody, k=1126)
87703201 3975120583 (David Broadhurst, k=1)
88004334 4790044447 (Phil Carmody, k=257)
88148399 8478000899 (Phil Carmody, k=3953)
90207368 9122468699 (David Broadhurst, k=1)
90394743 1338090973 (David Broadhurst, k=14)
90560799 9909439201 (Patrick Demichel, k=180400)
90895058 9906135053 (David Broadhurst, k=2)
92143246 2940396171 (David Broadhurst, k=15)
92832098 2801805623 (Patrick Demichel, k=98597)
94889599 5818594437 (Phil Carmody, k=3506)
97088724 2695448293 (David Broadhurst, k=2)
97347598 8423407129 (David Broadhurst, k=4)
98116872 4994134051 (Phil Carmody, k=2475)
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.