mersenneforum.org Factoring humongous Cunningham numbers
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 2022-05-24, 15:33 #1860 VBCurtis     "Curtis" Feb 2005 Riverside, CA 532610 Posts I am mostly an observer to this project, but any changes that make the underlying math easier to understand / do on one's own seems a clear win for the project.
 2022-06-28, 17:29 #1861 jyb     Aug 2005 Seattle, WA 2·11·83 Posts Update with new format Hi all, The tables have been updated with all factors known to me by the end of June 27 (GMT). Additionally, they are now using the new format, as described a couple of posts above. Please let me know if you see any errors or omissions. There were 29 new factors found since the last update, of which 25 completed the factorization of their respective numbers. There are now 600 composites remaining in the tables. Digit counts range from 190 to 307. SNFS difficulties start at 242, with non-quartic polynomials starting at 264. 12 composites are currently reserved. Most factors were found with NFS this time around, but ECM still has a healthy showing, with about one-third of the factors. Again, anyone using ECM should use B1 values of at least 260M. Here are the factors found since the last update, showing appropriate credit: Code: 8+5 850L C224 329599299593581388834972260507612812028261767119965014859405901. P161 R Propper ECM 2022-05-09 9+8 299 C209 355702705244681331790601351256046337594016030549655709587598181519460919886241583794633397914667. P113 R Propper SNFS 2022-05-09 6-5 337 C205 50104787644609136623580894908972162419827861965844030960100487021747476809044299691. P122 R Propper SNFS 2022-05-10 4+3 1509L C296 43762356175308046660646944020630193575737725449849393360671569. C234 R Propper ECM 2022-05-11 9+5 299 C253 13950848658574601856089264408716681144886348572842676627101170829130658485147598822557941952876211032632367. P146 R Propper SNFS 2022-05-11 9+8 614L C289 4792112953435246180033897337789336744209777298618769882524823617. C225 R Propper ECM 2022-05-11 10+7 263 C226 3414099019906449885352961418094022234341079521756606698494375778389494075712154143323573. P139 R Propper SNFS 2022-05-12 3+2 589 C175 555789143030530142573673993707086124030978266160752243337744518019. P109 NFS@Home & S Wellman GNFS 2022-05-12 12+11 244 C236 6275789516968650441725552092506673781371360009522372287601342838186556465483877286820313124455243289. P137 R Propper SNFS 2022-05-13 4-3 487 C169 50946330712300824601152529187399316033302540918654677895622017872501. P101 NFS@Home & S Wellman GNFS 2022-05-13 7+5 875M C194 1321750131471604665369371959385888919188109748858608197647353037056986858245501. P116 NFS@Home & G Childers GNFS 2022-05-14 5+3 389 C226 64682128365923161295715632462297188619519937924246325372943. P167 R Propper ECM 2022-05-14 4+3 1419M C193 12355755579835943879787506328209710648639252011238264225398892279371238909. P120 NFS@Home & G Childers GNFS 2022-05-22 11+4 263 C225 368002869734693411807466759650071230238476568476694519009. P168 R Propper ECM 2022-06-04 4+3 1317M C246 9660173080563518560302860800664949356082211662196978544155518739. P182 R Propper ECM 2022-06-05 10+7 308 C190 121779641446166343541376569451177980699081219317964953509785686074880760278524300170241659169. P97 NFS@Home & S Wellman SNFS 2022-06-06 11-2 281 C217 211104441916673844232588483487792243499111924423441832164727. P158 R Propper ECM 2022-06-08 9+7 322 C206 12164008544028330784930478789748320356220491390622581952822162078706057758651478388959817. P118 R Propper SNFS 2022-06-09 11+10 257 C267 8137321954005555790464111108691562365883638462410731020222298093725196561480812571100235927334141. P170 R Propper SNFS 2022-06-10 8+7 292 C198 106211316554164128394197503246941468295190747630652675430425897. P136 NFS@Home & S Wellman SNFS 2022-06-11 11+5 257 C244 16675002869710078308901966284982727724213817268281490922078644896339522332882338983094955450066041535150812024108950949. P126 R Propper SNFS 2022-06-12 11-8 257 C248 13073786367991597717665146109989433532084488919908131911899247659804122826998019182082385335851620187869158059300911. P133 R Propper SNFS 2022-06-14 10+3 262 C195 32772340053626272520481875966482174904318218019930167539938033832071623268957. P119 NFS@Home & S Wellman SNFS 2022-06-14 11+9 257 C206 12993237712575408728763551090300891005260702526261562291548203285229. P139 R Propper SNFS 2022-06-17 9-8 277 C215 23442328584325430176134126544990245223815726751936317768097. P157 Yoyo@home ECM 2022-06-17 7+4 338 C224 3257692639540513774976804174583784882036362654882898879561. C167 NFS@Home & S Wellman SNFS 2022-06-20 7+4 338 C167 108434590569397715268251596421252099121636176190588677930418757884629. P99 NFS@Home & S Wellman SNFS 2022-06-20 11-5 293 C268 30225541504489475185023309033081142359044642637183914163359411789. C203 R Propper ECM 2022-06-20 11-3 957M C291 367685098098853274179810266890594407772505282306619624339. P234 R Propper ECM 2022-06-27 Last fiddled with by jyb on 2022-06-28 at 17:31

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