-- May 29, 2021 (Kurt Beschorner) -- n=229037: c229029(4182094465......) = 1705505054821867489 * x229011(2452114963......) n=229093: c229083(1763908901......) = 2127882148430908853 * x229064(8289504675......) n=229213: c229213(1111111111......) = 1810307076949938649 * x229194(6137694125......) n=229403: c229393(5926933292......) = 5828609083556274467 * x229375(1016869240......) n=229409: c229382(3927042887......) = 4618383564203001041 * x229363(8503067864......) n=229423: c229396(8313341763......) = 1091544121886699249 * x229378(7616129844......) n=229459: c229453(1210575637......) = 10516067428353219107 * x229434(1151167625......) n=229487: c229487(1111111111......) = 321768362056466323 * x229469(3453139718......) n=229549: c229530(7617982392......) = 1979476283829342031 * x229512(3848483790......) n=229627: c229606(4808353544......) = 190740618900172049 * x229589(2520885992......) n=229631: c229624(8064462149......) = 437239814010372563 * x229607(1844402520......) n=229763: c229763(1111111111......) = 1860799902294640787 * x229744(5971147729......) n=229771: c229762(5984817519......) = 967687791963421729 * x229744(6184657458......) # gr-mfaktc # 206666 of 300000 Phi_n(10) factorizations were cracked. # 19709 of 25997 R_prime factorizations were cracked. -- May 29, 2021 (Makoto Kamada) -- n=39951: c25334(1531474443......) = 52709630628079 * c25320(2905492648......) -- May 28, 2021 (Kurt Beschorner) -- n=9315: c4737(3771721834......) = 1979969702769616223206181829684818071 * c4701(1904939166......) # ECM B1=3e6, sigma=0:8529503709117214 -- May 27, 2021 (Kurt Beschorner) -- n=64260L: c6881(2414128431......) = 6622965059352315389973181 * c6856(3645087071......) # ECM B1=1e6 sigma=0:17596343613092824574 n=228077: c228070(2029853419......) = 94192546200714569 * x228053(2155004298......) n=228139: c228121(7319521236......) = 1374856240189138013 * x228103(5323844793......) n=228203: c228195(1106581640......) = 3548885022024523031 * x228176(3118110711......) n=228353: c228343(4104049386......) = 673783478249915641 * x228325(6091050787......) n=228577: c228568(4611947442......) = 625813082621162693 * x228550(7369528650......) n=228581: c228581(1111111111......) = 238830631022126917 * x228563(4652297347......) n=228587: c228574(9758564417......) = 3296141936466731921 * x228556(2960602002......) n=228593: c228593(1111111111......) = 4726383715694368471 * x228574(2350869455......) n=228619: c228613(1215023572......) = 5605249366191505391 * x228594(2167653020......) n=228737: c228728(1300908512......) = 7974300034061926277 * x228709(1631376430......) n=228841: c228831(1360814123......) = 8817512666875110893 * x228812(1543308384......) n=228869: c228845(3239114860......) = 541100869023505517 * x228827(5986157194......) n=228869: x228827(5986157194......) = 984479243838930677 * x228809(6080531643......) n=228953: c228953(1111111111......) = 5156302757530016359 * x228934(2154860106......) # gr-mfaktc # 206663 of 300000 Phi_n(10) factorizations were cracked. # 19706 of 25997 R_prime factorizations were cracked. -- May 24, 2021 (Makoto Kamada) -- n=80650: c32214(2172776738......) = 54370454370251 * c32200(3996245321......) n=41229: c27409(2279078246......) = 96544205890507 * c27395(2360657716......) n=41289: c27493(1900084484......) = 52755866052763 * c27479(3601655373......) n=83776: c30716(1193645033......) = 28730834853953 * c30702(4154578312......) n=84584: c41473(1000099999......) = 67855847103113 * c41459(1473859722......) n=43276: c20873(2265880631......) = 92021426787209 * c20859(2462340251......) n=43302: c12360(9100000909......) = 26118601489597 * c12347(3484107261......) n=43443: c28933(5094765039......) = 74906447911039 * c28919(6801503985......) n=88622: c43620(2321349106......) = 62045498742767 * c43606(3741365858......) # 206660 of 300000 Phi_n(10) factorizations were cracked. -- May 22, 2021 (Kurt Beschorner) -- n=16667: c14263(4154180049......) = 3947239369512426079 * c14245(1052426686......) # ECM B1=5e4, sigma=0:954925097974726 -- May 19, 2021 (Kurt Beschorner) -- n=100037: c82801(1111110999......) = 29637670240923588791513413 * c82775(3748982261......) # ECM B1=5e4, sigma=0:4048588861662294 n=227053: c227047(1223403663......) = 15467400284016675311 * x227027(7909562309......) # gr-mfaktc n=227089: c227089(1111111111......) = 136467873861783077 * x227071(8141924393......) # gr-mfaktc n=227399: c227393(2443081693......) = 247033911979333729 * x227375(9889661196......) # gr-mfaktc n=227419: c227406(4869460946......) = 1137737547523054921 * x227388(4279950993......) # gr-mfaktc n=227471: c227460(4377063281......) = 1211892962522104609 * x227442(3611757322......) # gr-mfaktc n=227489: c227479(1268172883......) = 2482595654373204329 * x227460(5108253861......) # gr-mfaktc n=227533: c227502(2935788871......) = 75246664153403641 * x227485(3901553516......) # gr-mfaktc n=227627: c227603(5860860405......) = 629676137742006991 * x227585(9307737825......) # gr-mfaktc n=227653: c227640(8295114261......) = 4560148890672159563 * x227622(1819044610......) # gr-mfaktc n=227707: c227689(2230478951......) = 8065404759495333031 * x227670(2765489170......) # gr-mfaktc n=227797: c227785(1793864935......) = 299215061031313439 * x227767(5995236100......) # gr-mfaktc n=227951: c227939(1912582174......) = 5884508779162389203 * x227920(3250198523......) # gr-mfaktc n=227989: c227989(1111111111......) = 539450085886803323 * x227971(2059710694......) # gr-mfaktc # 206658 of 300000 Phi_n(10) factorizations were cracked. # 19703 of 25997 R_prime factorizations were cracked. -- May 15, 2021 (Yousuke Koide) -- n=1620L: c185(2143195675......) = 216228542818328308783433809596084627890392881018159564738348653328755727601 * p110(9911714928......) # SNFS # 1191 of 300000 Phi_n(10) factorizations were finished. -- May 16, 2021 (Makoto Kamada) -- n=45265: c32870(3474772749......) = 51643538025311 * c32856(6728378577......) n=90984: c28405(4292220573......) = 75304821812377 * c28391(5699795139......) n=91254: c29822(3718279598......) = 21402138898579 * c29809(1737340186......) n=91352: c43201(1000099999......) = 50502345678857 * c43187(1980304056......) n=45771: c25904(4608604369......) = 48700080633667 * c25890(9463237656......) # 206655 of 300000 Phi_n(10) factorizations were cracked. -- May 13, 2021 (Kurt Beschorner) -- n=6001: c5610(8824326732......) = 4891012142136348517404673727015993959 * c5574(1804192358......) # ECM B1=1e6, sigma=0:6324268175647661 -- May 13, 2021 (Makoto Kamada) -- n=48400: c17592(6013142287......) = 21823876439201 * c17579(2755304404......) n=48745: c38970(8461440922......) = 69981636562511 * c38957(1209094462......) n=48897: c32549(1022510548......) = 31782810698083 * c32535(3217181005......) -- May 8, 2021 (Serge Batalov and Ryan Propper) -- # (10^8177207-1)/9 is probable prime # This is the largest known probable prime number repunit. # https://mersenneforum.org/showthread.php?p=578079#post578079 # https://oeis.org/A004023 -- May 7, 2021 (Alfred Eichhorn) -- # via Kurt Beschorner n=59351: c59351(1111111111......) = 2460450677754144414887557 * c59326(4515884513......) # ECM B1=5e4, sigma=0:4294405550077682 n=95527: c95503(1787169402......) = 13955681448587740311701347 * c95478(1280603465......) # ECM B1=5e4, sigma=0:2908964832870371 # 206654 of 300000 Phi_n(10) factorizations were cracked. # 19701 of 25997 R_prime factorizations were cracked. -- May 7, 2021 (Kurt Beschorner) -- n=11220M: c1267(1339042341......) = 16930380233308606707892880902447984978624096501 * c1220(7909109678......) # ECM B1=43e6, sigma=0:863078287696667 n=100019: c99986(9369988211......) = 2369446454946296317873849 * c99962(3954505151......) # ECM B1=5e4, sigma=0:411156440346518 -- May 6, 2021 (Makoto Kamada) -- n=98482: c47963(5167091301......) = 83453075899847 * c47949(6191612766......) -- May 5, 2021 (Makoto Kamada) -- n=50045: c40004(2735392785......) = 35280441746111 * c39990(7753283832......) n=50117: c47889(4643019675......) = 24691969220267 * c47876(1880376422......) n=50425: c40294(2140869912......) = 29543848862951 * c40280(7246415056......) n=50692: c22176(9900990099......) = 65336711672489 * c22163(1515379309......) n=104154: c34671(1880763501......) = 11330057409967 * c34658(1659977026......) n=52315: c41848(9000090000......) = 97860557964311 * c41834(9196851303......) n=52549: c45024(2508502751......) = 32470913811827 * c45010(7725383910......) n=105864: c31980(1355722036......) = 96054210787657 * c31966(1411413435......) n=26979: c16165(1729887125......) = 89144309756077 * c16151(1940546884......) n=108204: c35261(1817737418......) = 87764096142781 * c35247(2071162922......) n=108296: c54113(1571328002......) = 55432469724377 * c54099(2834670745......) n=108478: c53409(1520269433......) = 11727473160419 * c53396(1296331624......) n=108856: c49422(6654910420......) = 59186292898217 * c49409(1124400616......) n=36342: c12086(2759479668......) = 79015648571659 * c12072(3492320468......) n=109876: c50656(1124835990......) = 47642348200669 * c50642(2361000313......) n=111500L: c22180(2603764875......) = 78228599473501 * c22166(3328405330......) n=37886: c17920(1456018845......) = 77704198767583 * c17906(1873796871......) n=56919: c37931(6718965547......) = 45430434774763 * c37918(1478956910......) # 206653 of 300000 Phi_n(10) factorizations were cracked. -- May 2, 2021 (Kurt Beschorner) -- n=6079: c6069(4569602093......) = 61182767215009075574812972501787 * c6037(7468773154......) # ECM B1=1e6, sigma=0:6573795364083891 n=12519: c7613(4989970998......) = 4142429561097371437530391 * c7589(1204600084......) # Prime95 B1=1e6, sigma=6003805306615619 n=150003: c85673(1951229943......) = 13429267242949059517 * c85654(1452968287......) # Prime95 B1=5e4, sigma=5440031747720602 -- May 1, 2021 (Makoto Kamada) -- n=57505: c37425(1011211884......) = 30509570220431 * c37411(3314408815......) n=115364: c56981(1325945045......) = 64003466939669 * c56967(2071676909......) n=117174: c38248(1360399935......) = 48527276162143 * c38234(2803371718......) n=117830: c47113(1648679077......) = 40905890961371 * c47099(4030419673......) n=58959: c39300(9990000009......) = 25008292233163 * c39287(3994675012......) n=118368: c39130(2979449724......) = 49531352021857 * c39116(6015280428......) n=59389: c53971(1876045644......) = 35981198256587 * c53957(5213960999......) n=119278: c56993(8043946465......) = 18968448389327 * c56980(4240698184......) n=119630: c40972(3175734268......) = 45760200423491 * c40958(6939948338......) n=60032: c25316(1103522144......) = 49065335630081 * c25302(2249087120......) n=60185: c48126(1118068570......) = 26058976771991 * c48112(4290531359......) n=120718: c55661(7183445852......) = 34299041466223 * c55648(2094357610......) n=121912: c52037(1571215294......) = 52584665160553 * c52023(2987972424......) n=122194: c60408(1724753586......) = 30640461371491 * c60394(5629006579......) n=122350: c48894(3492444827......) = 55019602209851 * c48880(6347637363......) n=122516: c60454(7199990990......) = 27952642023029 * c60441(2575781918......) n=122776: c60379(8145662461......) = 73449008525657 * c60366(1109022793......) n=123116: c52753(1009999999......) = 82039381143749 * c52739(1231116063......) n=123142: c58853(1481485162......) = 24672856601699 * c58839(6004514136......) n=123296: c61610(1008898293......) = 17227957861537 * c61596(5856168801......) n=123452: c52889(2337519213......) = 85928170672429 * c52875(2720317673......) n=123838: c51816(7049121761......) = 70762989468887 * c51802(9961594067......) n=124016: c59123(1898936154......) = 19351037589937 * c59109(9813097339......) n=124394: c59029(1267154553......) = 78858742735807 * c59015(1606866289......) n=124444: c60899(8112342424......) = 10529812260061 * c60886(7704166250......) n=124568: c59468(8080371700......) = 28906655766073 * c59455(2795332592......) n=124714: c61727(6075876829......) = 16305150388619 * c61714(3726354363......) n=124904: c57586(2036426064......) = 12046601474233 * c57573(1690456904......) n=125062: c53575(4621737543......) = 17977187389463 * c53562(2570890230......) n=125114: c55635(6643983099......) = 27139238057779 * c55622(2448109665......) n=125198: c61474(2510308811......) = 47383513159979 * c61460(5297852868......) n=125404: c61896(7083526397......) = 10640203976621 * c61883(6657321995......) n=125498: c62130(1945400533......) = 44284495198247 * c62116(4392960843......) n=125526: c41806(4950795941......) = 23918265935743 * c41793(2069880799......) n=125528: c53760(9999000099......) = 68478098202697 * c53747(1460174911......) n=125822: c61646(2490384510......) = 43725773799047 * c61632(5695461266......) n=125828: c61974(2793314117......) = 74645040195109 * c61960(3742129564......) n=125852: c61910(8204150028......) = 22767979583149 * c61897(3603372006......) n=125948: c58600(4977921400......) = 38462804417981 * c58587(1294216965......) n=62991: c41976(9999999990......) = 68216449270591 * c41963(1465922090......) n=126014: c54001(1099999890......) = 15195620856739 * c53987(7238926927......) n=126812: c54265(1000000000......) = 29545294961309 * c54251(3384633666......) n=127106: c54423(5278042397......) = 18302049756383 * c54410(2883853157......) n=127114: c58646(2197618298......) = 16010175709139 * c58633(1372638463......) n=127124: c62391(2903873750......) = 78194667132661 * c62377(3713646796......) n=127262: c56436(3470590535......) = 13056477850859 * c56423(2658136884......) n=127316: c54540(1924702038......) = 30992296181029 * c54526(6210259565......) n=128048: c62401(1000000009......) = 12674585299793 * c62387(7889804568......) n=64137: c42756(9009009009......) = 72257104265119 * c42743(1246799065......) n=128336: c59137(1000000009......) = 10635961117393 * c59123(9402065304......) n=64225: c43908(3424220122......) = 52756753175351 * c43894(6490581615......) n=128518: c59288(1994685171......) = 22094024816891 * c59274(9028165703......) n=128734: c63817(1130983548......) = 20594598711887 * c63803(5491651300......) n=128854: c58561(1099999999......) = 54611185114531 * c58547(2014239386......) n=128924: c63734(3192108543......) = 34603537447021 * c63720(9224804106......) n=64477: c53992(1963166106......) = 97673644855067 * c53978(2009924078......) n=129164: c55264(1237349418......) = 14540509040149 * c55250(8509670569......) n=129178: c55349(1320214096......) = 94194063256819 * c55335(1401589496......) n=129314: c59040(9090909090......) = 10995437390407 * c59027(8267892188......) n=129548: c64000(5210800397......) = 12065894868229 * c63987(4318619094......) n=129566: c64777(2338804342......) = 12259851190607 * c64764(1907693907......) n=129628: c61929(1213797136......) = 20152050675269 * c61915(6023194145......) n=129874: c64930(3684099247......) = 41558887638727 * c64916(8864768660......) n=129926: c64400(2192788851......) = 74818169948903 * c64386(2930823960......) n=129970: c50560(9091000000......) = 49880958722531 * c50547(1822539147......) n=130234: c60084(2299819068......) = 23555467729327 * c60070(9763419239......) n=130468: c59889(5858921057......) = 15809937543349 * c59876(3705847060......) n=130542: c43489(2693733666......) = 40770492732727 * c43475(6607066743......) n=130606: c52913(3163891149......) = 10231935643819 * c52900(3092172643......) n=130750: c52182(1178352387......) = 17229630804251 * c52168(6839104104......) n=130754: c58512(9090909090......) = 15592702812571 * c58499(5830233026......) n=130858: c51691(6947103370......) = 42840072067703 * c51678(1621636714......) n=65453: c60464(2170211508......) = 51639665748599 * c60450(4202605646......) n=130924: c64394(1928599430......) = 12436999038341 * c64381(1550695167......) n=130942: c54648(9090910000......) = 44560085713291 * c54635(2040146434......) n=130948: c61979(1388275731......) = 18070220984461 * c61965(7682671576......) n=130988: c54720(9900990099......) = 22518578685461 * c54707(4396809513......) n=131140L: c25561(1975895305......) = 49778291288581 * c25547(3969391585......) n=131384: c59681(1000099999......) = 11991743906473 * c59667(8339904586......) n=131510: c52575(2714747908......) = 42119197837771 * c52561(6445393187......) n=131612: c60708(4023194368......) = 97608889379509 * c60694(4121749970......) n=131990: c51737(3203554772......) = 34852663666651 * c51723(9191707133......) n=132136: c64939(7568659800......) = 15508920053177 * c64926(4880197830......) n=132298: c63821(8781617208......) = 60650840780099 * c63808(1447897027......) n=132308: c57600(9900990099......) = 89608372923389 * c57587(1104917964......) n=132458: c65485(1099999999......) = 38074487961379 * c65471(2889073652......) n=66313: c61189(6904424416......) = 98689383655799 * c61175(6996116664......) n=66351: c41601(1109999999......) = 31432723439683 * c41587(3531351656......) n=132736: c61441(1000000000......) = 48899630603137 * c61427(2045005223......) n=132758: c64689(3649097641......) = 11469934213739 * c64676(3181446007......) n=132866: c64261(1099999999......) = 54661030812943 * c64247(2012402590......) n=133016: c61345(1000099999......) = 18917088719257 * c61331(5286754293......) n=66579: c44373(1223047618......) = 29961400213831 * c44359(4082077638......) n=133474: c60661(1099999999......) = 69715120339063 * c60647(1577849962......) n=133538: c63845(1099999999......) = 48656782356971 * c63831(2260733132......) n=133634: c66090(2572323806......) = 17546914332743 * c66077(1465969319......) n=133646: c63281(1725513392......) = 81829370945851 * c63267(2108672439......) n=133694: c59160(9090909091......) = 17047620478703 * c59147(5332655723......) n=66915: c35658(2671301365......) = 45864541111591 * c35644(5824328120......) n=134398: c59200(9090909091......) = 63325175080663 * c59187(1435591623......) n=134534: c66630(1416633910......) = 87758986808851 * c66616(1614232298......) n=134696: c66305(1000099999......) = 42814107823673 * c66291(2335912274......) n=134758: c60471(8638877879......) = 21515046821087 * c60458(4015272637......) n=67389: c38470(1767143669......) = 56897776835719 * c38456(3105821998......) n=134912: c61434(3222711608......) = 12715358998273 * c61421(2534503044......) n=134918: c55176(9090910000......) = 24967641077611 * c55163(3641076852......) n=134930: c53040(9091000000......) = 13608589268731 * c53027(6680339762......) n=67591: c67072(9000000000......) = 67231475765627 * c67059(1338658700......) n=135382: c60473(5048876226......) = 20391065311007 * c60460(2476023763......) n=135524: c63745(1009999999......) = 39239061278741 * c63731(2573965755......) n=135542: c60000(9090909091......) = 49998814149659 * c59987(1818224941......) n=135710: c52787(3649692014......) = 92570449151771 * c52773(3942610247......) n=135758: c58156(1532142078......) = 90733627289579 * c58142(1688615483......) n=135842: c56143(3759744064......) = 53287201980223 * c56129(7055622972......) n=135928: c62671(4368400008......) = 56455391771897 * c62657(7737790618......) n=136030: c53270(3929307816......) = 14503315507211 * c53257(2709247974......) n=136072: c66817(1000099999......) = 23670426939737 * c66803(4225103343......) n=136292: c62859(6335874732......) = 27102725778389 * c62846(2337726022......) n=136468: c67367(1904102627......) = 12566045904509 * c67354(1515275880......) n=136484: c67476(5421969798......) = 25992199260661 * c67463(2085998858......) n=136490: c54584(3844998977......) = 20902703860691 * c54571(1839474454......) n=136702: c68325(8071194219......) = 41817910201943 * c68312(1930080719......) n=136732: c68364(9900990099......) = 10905021691381 * c68351(9079294273......) n=136744: c68363(2437395358......) = 10900783569913 * c68350(2235981792......) n=68439: c39078(2498833265......) = 68597093953123 * c39064(3642768405......) n=136888: c67182(5493422003......) = 17642850809513 * c67169(3113681605......) n=136948: c57012(6946250365......) = 46325089224989 * c56999(1499457525......) n=137182: c67846(4668824603......) = 30567982602263 * c67833(1527357779......) n=137254: c63325(8724561291......) = 38582831650091 * c63312(2261254790......) n=137326: c55290(4413296625......) = 67775684942099 * c55276(6511622316......) n=137344: c64503(7868786208......) = 41539539386753 * c64490(1894288267......) n=137338: c68663(6619320870......) = 85870839811343 * c68649(7708461784......) n=137386: c67681(1099999999......) = 19891383512743 * c67667(5530032635......) n=137428: c61815(4685848847......) = 51736945398101 * c61801(9057065142......) n=137486: c68729(4388117234......) = 19184648092607 * c68716(2287306607......) n=137528: c68760(9999000099......) = 10438649843417 * c68747(9578825087......) n=137632: c56296(3399664122......) = 15910596811297 * c56283(2136729478......) n=137630: c55049(1099989000......) = 39600783488171 * c55035(2777695043......) n=68811: c45863(1804802262......) = 83423138195959 * c45849(2163431275......) n=137686: c67201(1099999999......) = 18711684499727 * c67187(5878679709......) n=137750: c50400(9999999999......) = 98755326530251 * c50387(1012603608......) n=137770: c52619(6598631061......) = 16101565793771 * c52606(4098130049......) n=137796: c45911(6185645810......) = 25510952440789 * c45898(2424702027......) n=137950: c52784(9678882533......) = 43612980098251 * c52771(2219266491......) n=69005: c53562(2012716105......) = 21599356487351 * c53548(9318407733......) n=69076: c29582(2695579179......) = 36777789161849 * c29568(7329367102......) n=138376: c59117(8422190946......) = 68755712130617 * c59104(1224944180......) n=138502: c54720(9090910000......) = 44871093069167 * c54707(2026005915......) n=138548: c65593(1009999999......) = 52260215682349 * c65579(1932636493......) n=138590: c55433(1099989000......) = 13371028351931 * c55419(8226659694......) n=138854: c69419(2118802273......) = 64472902420891 * c69405(3286345415......) n=138874: c66397(1099999999......) = 70736163909143 * c66383(1555074433......) n=138898: c67524(1124578064......) = 92470237733023 * c67510(1216151371......) n=138910: c53536(9091000000......) = 25021424761891 * c53523(3633286308......) n=138976: c67195(7195435215......) = 44472222299873 * x67182(1617961694......) n=138976: x67182(1617961694......) = 71767935607073 * c67168(2254435328......) n=139072: c66543(6028070633......) = 15593551052353 * c66530(3865745918......) n=139172: c63241(1009999999......) = 11503135709341 * c63227(8780214591......) n=139564: c63349(6034216527......) = 33859520856101 * c63336(1782132875......) n=69998: c33834(3741602228......) = 51028408583813 * c33820(7332390589......) # 206651 of 300000 Phi_n(10) factorizations were cracked.