This is a list of known
16-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.
100302 6954441971 (David Broadhurst, k=85)
100672 0295102281 (Patrick Demichel, k=135060)
102211 8181715971 (Patrick Demichel, k=562165)
103589 8302479437 (David Broadhurst, k=2)
105067 6720661059 (Patrick Demichel, k=615613)
107316 0000107317 (David Broadhurst, k=2)
107552 3893788647 (David Broadhurst, k=73)
107711 8820880499 (David Broadhurst, k=1)
108718 3282390063 (Patrick Demichel, k=3066557)
112043 2498958653 (David Broadhurst, k=2)
113311 9999886689 (David Broadhurst, k=16)
115335 6267058579 (David Broadhurst, k=1)
117164 8352287117 (David Broadhurst, k=2)
121978 5108226939 (David Broadhurst, k=31)
123492 0000123493 (David Broadhurst, k=2)
123534 8918217019 (David Broadhurst, k=1)
123904 7675106847 (David Broadhurst, k=1)
124301 6782041211 (Patrick Demichel, k=335585)
124664 4597155623 (Phil Carmody, k=1337)
126738 6073339357 (David Broadhurst, k=2)
128850 6094732099 (David Broadhurst, k=1)
129306 8705277493 (Patrick Demichel, k=1075854)
130264 7094651241 (Patrick Demichel, k=954980)
130835 5967371729 (David Broadhurst, k=8)
133569 5307313357 (David Broadhurst, k=2)
134891 3486122117 (Patrick Demichel, k=136666)
136445 0869724933 (Patrick Demichel, k=40706)
137200 9238798053 (David Broadhurst, k=2)
137383 5841721543 (David Broadhurst, k=1)
139175 0021955277 (David Broadhurst, k=2)
143248 0520273771 (Phil Carmody, k=835)
143962 5716980303 (David Broadhurst, k=67)
150120 7407273367 (Phil Carmody, k=2847)
155088 3347674849 (David Broadhurst, k=16)
157403 6143481161 (Patrick Demichel, k=307420)
165434 5811915207 (David Broadhurst, k=23)
165475 4514646573 (Patrick Demichel, k=24734)
171818 7198754717 (David Broadhurst, k=2)
174157 6278750859 (David Broadhurst, k=1)
174666 7474572809 (David Broadhurst, k=4)
176844 7645428619 (Paul Leyland, k=33901)
178928 1960077263 (David Broadhurst, k=7)
182913 0098184379 (Patrick Demichel, k=85461)
188101 8462027277 (Phil Carmody, k=962)
192413 8627456543 (David Broadhurst, k=7)
193403 8332062647 (David Broadhurst, k=1)
193934 3338296253 (David Broadhurst, k=14)
198186 1951924201 (Patrick Demichel, k=3055700)
203670 0107142859 (David Broadhurst, k=1)
204280 1428681063 (Phil Carmody, k=1799)
205720 4287437157 (Phil Carmody, k=442)
209634 3084084247 (David Broadhurst, k=47)
212975 8002832087 (Phil Carmody, k=2427)
213052 4850507773 (Phil Carmody, k=146)
215206 2083942167 (David Broadhurst, k=1)
216427 6969480543 (David Broadhurst, k=7)
220389 1704838699 (John Gamble, k=16513)
220945 8610615169 (David Broadhurst, k=64)
221154 9151064569 (John Gamble, k=17948)
222684 3038912321 (Phil Carmody, k=160)
228467 6055210979 (Paul Leyland, k=37141)
236576 8009273573 (David Broadhurst, k=34)
237852 5902525343 (Phil Carmody, k=151)
241572 3359991493 (Phil Carmody, k=5162)
243771 0938307361 (Patrick Demichel, k=5520)
245290 2601380727 (David Broadhurst, k=1)
246045 1627870237 (Phil Carmody, k=3822)
249600 0288036407 (David Broadhurst, k=73)
257224 5804128093 (David Broadhurst, k=86)
257842 1692686361 (Phil Carmody, k=2260)
260502 0910622531 (Patrick Demichel, k=747965)
263993 9630732317 (David Broadhurst, k=2)
270047 7882224299 (David Broadhurst, k=71)
270152 1570314143 (Paul Leyland, k=37769)
274433 7704177807 (Phil Carmody, k=323)
+2753565111483733 (David Broadhurst using ECM)
(k=30286248174)
276003 3263034847 (David Broadhurst, k=1)
277954 1917816687 (David Broadhurst, k=1)
280411 9298082703 (Patrick Demichel, k=89459)
283279 9999716721 (David Broadhurst, k=40)
288934 1920551637 (David Broadhurst, k=2)
290479 4504164477 (Patrick Demichel, k=47222)
290879 2794093847 (David Broadhurst, k=1)
291552 0172979041 (David Broadhurst, k=80)
297482 9618713717 (Phil Carmody, k=842)
297900 7715023321 (Patrick Demichel, k=301820)
298292 3342029247 (Patrick Demichel, k=189413)
302696 4439111447 (Phil Carmody, k=1037)
307668 6865124623 (Phil Carmody, k=2679)
310732 3068820939 (David Broadhurst, k=1)
312804 8548411139 (David Broadhurst, k=19)
321437 8373662303 (David Broadhurst, k=7)
322947 3318594623 (David Broadhurst, k=1)
327924 7441229521 (David Broadhurst, k=40)
328332 5512280263 (Patrick Demichel, k=254819)
334093 7027375663 (Phil Carmody, k=2431)
341017 6446423451 (David Broadhurst, k=25)
347770 5337905613 (David Broadhurst, k=22)
349855 7134438699 (Patrick Demichel, k=21913)
352704 3388643539 (David Broadhurst, k=1)
353452 1220421333 (Patrick Demichel, k=840682)
357311 4783845077 (David Broadhurst, k=2)
358948 8316291219 (David Broadhurst, k=23)
361647 3785019811 (Phil Carmody, k=1885)
366685 1530167211 (Patrick Demichel, k=1524635)
368628 5229795331 (David Broadhurst, k=5)
374041 0538942437 (Patrick Demichel, k=2742122)
376858 9235000407 (David Broadhurst, k=1)
397083 9137855437 (David Broadhurst, k=42)
399996 0000399997 (David Broadhurst, k=2)
401879 5643966237 (David Broadhurst, k=98)
403984 8456872903 (David Broadhurst, k=1)
410771 7028414063 (Phil Carmody, k=259)
417771 9853578277 (Patrick Demichel, k=157106)
424697 7092803369 (David Broadhurst, k=28)
435431 7013989259 (David Broadhurst, k=1)
439575 5428206139 (David Broadhurst, k=31)
446017 9138545373 (David Broadhurst, k=2)
446716 5232203397 (David Broadhurst, k=2)
450569 6052413293 (Patrick Demichel, k=29734)
450684 4443993761 (David Broadhurst, k=80)
451867 8007528213 (Phil Carmody, k=1402)
456805 9350403543 (Patrick Demichel, k=7819)
464708 2268910973 (David Broadhurst, k=2)
467467 9518572779 (David Broadhurst, k=13)
476993 8362880837 (Patrick Demichel, k=7562)
494415 7235277943 (Patrick Demichel, k=8587)
497149 1256108647 (Phil Carmody, k=323)
500497 0369228369 (Phil Carmody, k=1176)
501129 7986078847 (David Broadhurst, k=7)
507054 3590196157 (Patrick Demichel, k=1412266)
522554 8559586967 (Phil Carmody, k=117)
527230 7758746887 (David Broadhurst, k=13)
531801 7190615449 (Phil Carmody, k=876)
535043 8817276779 (Phil Carmody, k=3811)
536610 0795320761 (Patrick Demichel, k=149860)
541041 6502446451 (Patrick Demichel, k=284825)
554602 9348420201 (Phil Carmody, k=1900)
557657 6359164383 (Patrick Demichel, k=145561)
562310 6883251983 (David Broadhurst, k=67)
562345 7588814253 (David Broadhurst, k=2)
563222 0000563223 (David Broadhurst, k=1)
567505 2295109539 (Phil Carmody, k=171)
570596 4788818493 (David Broadhurst, k=46)
573252 3228350557 (David Broadhurst, k=2)
583252 8320743477 (David Broadhurst, k=46)
594116 2925256773 (Phil Carmody, k=386)
614262 0000614263 (Phil Carmody, k=227)
614843 5347029543 (Patrick Demichel, k=130781)
621878 7885890647 (David Broadhurst, k=1)
634373 9208555167 (Phil Carmody, k=283)
659327 2782359413 (David Broadhurst, k=2)
663472 9563268531 (David Broadhurst, k=5)
672254 1951674543 (Patrick Demichel, k=68831)
690598 8683196241 (David Broadhurst, k=40)
697062 3403366459 (David Broadhurst, k=1)
706138 6276702091 (David Broadhurst, k=95)
716155 6728051133 (David Broadhurst, k=22)
735870 7804142179 (David Broadhurst, k=1)
743428 6050641077 (David Broadhurst, k=2)
774350 3914592077 (Phil Carmody, k=522)
776219 3076178649 (David Broadhurst, k=4)
780608 1679614971 (Phil Carmody, k=485)
808079 0820900139 (David Broadhurst, k=1)
809884 7020623967 (David Broadhurst, k=1)
813884 8794023971 (David Broadhurst, k=15)
825791 0960083819 (David Broadhurst, k=23)
845780 5489481851 (Patrick Demichel, k=147725)
856094 8826290891 (Patrick Demichel, k=1109315)
881889 8208336019 (David Broadhurst, k=31)
895923 6261367087 (David Broadhurst, k=27)
898905 2539826503 (David Broadhurst, k=39)
903087 2573622659 (David Broadhurst, k=59)
903463 5213588811 (David Broadhurst, k=35)
910731 2788258939 (David Broadhurst, k=1)
921525 1209966367 (Patrick Demichel, k=21317)
925410 9914903899 (Norm Dresner, k=10411)
935284 1769617743 (Paul Leyland, k=32449)
958726 8380415997 (David Broadhurst, k=2)
962261 4910986859 (Patrick Demichel, k=266843)
965341 8032254327 (Phil Carmody, k=4937)
975475 6030010179 (David Broadhurst, k=1)
978396 2734725367 (David Broadhurst, k=1)
984634 7753151361 (Phil Carmody, k=320)
987632 4585966499 (David Broadhurst, k=1)
998911 2328612357 (Phil Carmody, k=226)
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.