-- May 31, 2018 (Makoto Kamada) -- n=101768: c50852(2676236389......) = 1168552693870992481 * c50834(2290214556......) n=101786: c50892(9090909090......) = 45895721965013689 * c50876(1980774830......) n=101788: c50881(4550527040......) = 107580610642829 * c50867(4229876567......) n=101806: c50310(2620608182......) = 68182469967119059 * c50293(3843521926......) n=101818: c50908(9090909090......) = 78937563097997 * c50895(1151658188......) n=101828: c50912(9900990099......) = 25566558877478321 * c50896(3872633054......) n=101835: c51830(5233835244......) = 323447493582361 * c51816(1618140609......) n=101872: c50923(9816143531......) = 270826080699217 * c50909(3624519287......) n=101876: c50927(1688060008......) = 291252242831517701 * c50909(5795869560......) # P-1 B1=1e6 # 140142 of 200000 Phi_n(10) factorizations were cracked. -- May 30, 2018 (Alfred Reich) -- n=22220L: c3978(4212431735......) = 48018329930173398062127521 * c3952(8772549443......) # ECM B1=160000, sigma=0:6504545639092815382 -- May 30, 2018 (Makoto Kamada) -- n=101661: c56284(2714615832......) = 3979117144430191 * c56268(6822156105......) n=101678: c50838(9090909090......) = 13284080435269379 * c50822(6843461340......) n=101704: c50838(5539731236......) = 176253743928001 * c50824(3143043156......) n=101714: c50856(9090909090......) = 40148725727770607 * c50840(2264308250......) # P-1 B1=1e6 # 140139 of 200000 Phi_n(10) factorizations were cracked. -- May 29, 2018 (Makoto Kamada) -- n=101493: c57673(1000000000......) = 24546307304173159 * c57656(4073932537......) n=101506: c50735(8243760635......) = 30498700441277 * c50722(2702987509......) n=101517: c58752(9009009009......) = 211850502327283 * c58738(4252531341......) n=101534: c50766(9090909090......) = 13361071810079173 * c50750(6804026817......) n=101541: c57594(3412416809......) = 183836385542437 * c57580(1856224924......) n=101546: c50736(1058172080......) = 18516709179259281140083721 * c50710(5714687586......) n=101564: c50766(5466050812......) = 1023478141438524061 * c50748(5340661995......) n=101565: c51840(9990000009......) = 5183890809137641 * c51825(1927123926......) n=101576: c50773(1422523244......) = 26411147408747965433 * c50753(5386071353......) n=101577: c57961(1000000100......) = 606093322075957591 * c57943(1649911100......) n=101578: c50788(9090909090......) = 563352337203267811 * c50771(1613716406......) n=101594: c50055(1354084884......) = 2906424415949408383 * c50036(4658937204......) n=101625: c53991(1641822404......) = 56851108708431001 * c53974(2887933836......) n=101636: c50816(9900990099......) = 174751021341769 * c50802(5665769517......) # P-1 B1=1e6 # 140137 of 200000 Phi_n(10) factorizations were cracked. -- May 28, 2018 (Makoto Kamada) -- n=101361: c59136(9009009009......) = 31199416410018403 * c59120(2887556898......) n=101367: c57882(9875008755......) = 102104785518121 * c57868(9671445569......) n=101368: c50670(3781709488......) = 201494370195049917649 * c50650(1876831340......) n=101372: c50684(9900990099......) = 3873796800288181589 * c50666(2555887830......) n=101378: c50211(3330099652......) = 19600720951209788165199889841 * c50183(1698967941......) n=101386: c50210(3144454036......) = 545748843685607213 * c50192(5761723681......) n=101396: c50696(9900990099......) = 42586930681745041 * c50680(2324889335......) n=101408: c50688(9999999999......) = 555503087137383759713 * c50668(1800170013......) n=101451: c57940(1553935295......) = 25878247487947 * c57926(6004793393......) n=101462: c50106(2644267000......) = 2411010284214823 * c50091(1096746462......) n=101474: c50171(2168038772......) = 439601960419637 * c50156(4931822347......) n=101482: c50740(9090909090......) = 24254493414103 * c50727(3748133979......) # P-1 B1=1e6 # 140130 of 200000 Phi_n(10) factorizations were cracked. -- May 27, 2018 (Makoto Kamada) -- n=101224: c50596(7269576877......) = 2064410941346035551194857 * c50572(3521380715......) n=101236: c50616(9900990099......) = 4477505679798601 * c50601(2211273598......) n=101241: c57817(1001000999......) = 168761591844970321 * c57799(5931450332......) n=101242: c50173(1099999999......) = 2536225139018038844930545645449373 * c50139(4337154391......) n=101277: c59401(1000000000......) = 26442325236889 * 391572337257396242754049 * c59363(9658025638......) n=101283: c52401(1374984332......) = 215907849157729 * c52386(6368385112......) n=101295: c53985(1952639782......) = 35865285056805389761 * c53965(5444372684......) n=101302: c50650(9090909090......) = 5471980389173336333 * c50632(1661356299......) n=101312: c50600(5211575873......) = 57844962140929 * c50586(9009558793......) n=101344: c50648(2978382840......) = 5272364279902817953 * c50629(5649046011......) # P-1 B1=1e6 # 140125 of 200000 Phi_n(10) factorizations were cracked. -- May 26, 2018 (Alfred Reich) -- n=20630: c8241(2794542590......) = 10558198629023727335491 * c8219(2646798652......) # ECM B1=50000, sigma=0:1234684304365680511 n=21150: c5489(5651583732......) = 331391202778708954540651 * c5466(1705411515......) # ECM B1=50000, sigma=0:11953818105811508271 n=21158: c10331(5093600386......) = 75580234046558172958717 * c10308(6739328675......) # ECM B1=50000, sigma=0:11942698736711676178 n=21774: c6819(1291080031......) = 67515617714796955390807 * c6796(1912268709......) # ECM B1=50000, sigma=0:9633504351152817490 n=21916: c10920(7134225049......) = 18846937650708570240169 * c10898(3785349737......) # ECM B1=50000, sigma=0:2403113629936640059 n=22498: c9605(7788561309......) = 501064040003357492012653 * c9582(1554404364......) # ECM B1=70000, sigma=1:643583952 n=22924: c10388(8656184114......) = 19086598455337117682755009 * c10363(4535215709......) # ECM B1=60000, sigma=0:13758685491966800264 n=23546: c11511(1984017482......) = 424321564553032846659481 * c11487(4675740401......) # ECM B1=60000, sigma=0:5845305623189215198 n=23648: c11759(3837699461......) = 936808849496568084193 * c11738(4096566192......) # ECM B1=60000, sigma=0:13940225174571081016 n=23804: c10774(2436342994......) = 1503814217398084230761 * c10753(1620109030......) # ECM B1=60000, sigma=1:3122247935 n=23826: c6811(2732676323......) = 6824439399475653529663 * c6789(4004250259......) # ECM B1=60000, sigma=1:1464846057 n=23906: c11952(9090909090......) = 6475369719143564960737727 * c11928(1403921240......) # ECM B1=60000, sigma=0:6067052646137961421 # 140120 of 200000 Phi_n(10) factorizations were cracked. -- May 10, 2018 (Alfred Reich) -- n=21430: c8569(1099989000......) = 3503318923053528497491 * c8547(3139848310......) # ECM B1=30000, sigma=0:2951305429323222513 # 140119 of 200000 Phi_n(10) factorizations were cracked. -- May 26, 2018 (Makoto Kamada) -- n=101056: c50479(2383604996......) = 215742624977443285045057 * c50456(1104837301......) n=101078: c50538(9090909090......) = 270450518941532117 * c50521(3361394582......) n=101086: c50542(9090909090......) = 2092541026074437 * c50527(4344435295......) n=101168: c50576(9999999900......) = 26011539208577249 * c50560(3844447581......) n=101175: c50378(9699961354......) = 1973898735992834401 * c50360(4914112957......) n=101176: c50566(2395931421......) = 4580508691415390561 * c50547(5230710347......) n=101199: c56154(2342702462......) = 39698874002761 * c56140(5901181132......) # P-1 B1=1e6 # 140118 of 200000 Phi_n(10) factorizations were cracked. -- May 25, 2018 (Makoto Kamada) -- n=100916: c50456(9900990099......) = 92951622996821 * c50443(1065176677......) n=100972: c50484(9900990099......) = 1887436033311089 * c50469(5245735444......) n=100976: c50463(5411034774......) = 48505065422369 * c50450(1115560761......) n=100989: c57457(1000000000......) = 28470755550000079 * c57440(3512376052......) n=100995: c53847(3372156722......) = 1971827330362951 * c53832(1710168365......) n=101012: c50496(2405939101......) = 267428467061137380721669361 * c50469(8996570664......) n=101031: c54144(9009009909......) = 124002002828467 * c54130(7265213225......) n=101054: c50517(6158752853......) = 2094446296696903 * c50502(2940516003......) # P-1 B1=1e6 # 140115 of 200000 Phi_n(10) factorizations were cracked. -- May 24, 2018 (Alfred Reich) -- n=22574: c11265(1978280449......) = 48898034064406471958899 * c11242(4045725941......) # ECM B1=60000, sigma=1:3681854286 n=22662: c7501(1526098987......) = 614800310201200654207939 * c7477(2482267757......) # ECM B1=60000, sigma=1:1991811886 n=22994: c11496(9090909090......) = 10543941863919321725430536863 * c11468(8621926418......) # ECM B1=130000, sigma=1:2728066273 n=23072: c9793(1000000000......) = 16570011574535894168111489 * c9767(6034998801......) # ECM B1=130000, sigma=1:1792884936 n=23412: c7783(4559081797......) = 2336514260771221179765610129 * c7756(1951232172......) # ECM B1=60000, sigma=1:2259932401 n=23438: c11718(9090909090......) = 24764527941195306845457449 * c11693(3670939786......) # ECM B1=60000, sigma=1:1265487738 # 140111 of 200000 Phi_n(10) factorizations were cracked. -- May 24, 2018 (Makoto Kamada) -- n=100749: c58774(1935852076......) = 5052262483900369 * c58758(3831653803......) n=100766: c50377(3007257414......) = 165677387066117449 * c50360(1815128465......) n=100774: c50370(4056692836......) = 51203016698009087 * c50353(7922761387......) n=100784: c50378(3421450476......) = 8126365311681992929 * c50359(4210308477......) n=100785: c53745(1109988900......) = 271367999145801111271 * c53724(4090345595......) n=100822: c50395(2561380654......) = 2873287408311409 * c50379(8914460306......) # P-1 B1=1e6 # 140108 of 200000 Phi_n(10) factorizations were cracked. -- May 24, 2018 (anonymous) -- # from http://factordb.com n=190806: c48657(4529422522......) = 147616134417792811 * c48640(3068379036......) -- May 23, 2018 (Alfred Reich) -- n=20284: c9188(2092701683......) = 10426191195249393969109 * c9166(2007158360......) # ECM B1=40000, sigma=0:12284103935993110277 n=20368: c9495(9389294816......) = 4352583783096579191537 * c9474(2157177273......) # ECM B1=40000, sigma=0:57364140651312656 n=20544: c6778(5864576375......) = 1275743083124134130113 * c6757(4596988573......) # ECM B1=40000, sigma=0:4046596710677873284 n=20736: c6906(3494586361......) = 228044871336023055361 * c6886(1532411731......) # ECM B1=40000, sigma=0:15160344780398244016 n=20830: c8303(4085033935......) = 5042437442060679895561 * c8281(8101308113......) # ECM B1=40000, sigma=0:6147441089271638730 n=20934: c6963(2909989559......) = 7339481841742523055091 * c6941(3964843325......) # ECM B1=40000, sigma=0:2420169889682853793 n=21100L: c4141(7137491784......) = 7127244433086278354201 * c4120(1001437771......) # ECM B1=40000, sigma=0:2131256470132147408 n=21468: c7123(6963526762......) = 68952760737491310232212838669 * c7095(1009898180......) # ECM B1=40000, sigma=0:1385285404182049512 n=21510: c5680(3516910056......) = 1247516657681410162801 * c5659(2819128734......) # ECM B1=40000, sigma=0:13912062418230746264 n=21528: c6302(4817279313......) = 96939947551126695913 * c6282(4969343841......) # ECM B1=40000, sigma=0:10684270837358203575 n=21570: c5679(5448815929......) = 852420044154004412011 * c5658(6392172458......) # ECM B1=40000, sigma=0:911613197259206731 n=21738: c7215(5193894313......) = 761063183388890086609 * c7194(6824524463......) # ECM B1=40000, sigma=0:17837439488234489487 n=21794: c10211(8835914547......) = 107182027822456117088287 * c10188(8243839687......) # ECM B1=40000, sigma=0:12344982101895773123 n=21860L: c4351(7252419785......) = 61177153801554775961 * c4332(1185478456......) # ECM B1=40000, sigma=0:10474397900928323698 n=21872: c10917(8602206500......) = 419303680104060270241 * c10897(2051545671......) # ECM B1=40000, sigma=0:17634644906410057685 n=22056: c7345(1000099999......) = 125236186253263447977817 * c7321(7985711078......) # ECM B1=60000, sigma=0:2105993090486718269 n=22388: c10742(5283533833......) = 726267925538663627724749 * c10718(7274910053......) # ECM B1=60000, sigma=1:3815321079 n=23876: c11573(4817057043......) = 252390139545305353842721 * c11550(1908575767......) # ECM B1=50000, sigma=0:13471579819471916454 n=190806: c48675(4975377207......) = 1098457294080852091 * c48657(4529422522......) # ECM B1=13000, sigma=0:9159333461574827007 # 140107 of 200000 Phi_n(10) factorizations were cracked. -- May 23, 2018 (Makoto Kamada) -- n=100611: c57423(9646017400......) = 135426173680729 * c57409(7122712794......) n=100664: c50318(1644573772......) = 41379295910628713 * c50301(3974388003......) n=100665: c53654(2237275274......) = 67616736480211575961 * c53634(3308759622......) n=100666: c50316(7433410886......) = 1028982189317287 * c50301(7224042324......) n=100676: c50331(1966897856......) = 14261649364935491020339961 * c50306(1379151741......) n=100712: c50344(5836749248......) = 861114362021902609 * c50326(6778134828......) n=100732: c50364(9900990099......) = 1032789045034049 * c50349(9586652905......) # P-1 B1=1e6 # 140106 of 200000 Phi_n(10) factorizations were cracked. -- May 22, 2018 (Makoto Kamada) -- n=100443: c57385(1109999889......) = 121873986570093409 * c57367(9107767130......) n=100455: c51831(7783625548......) = 91801915023391849256671 * c51808(8478718060......) n=100468: c50227(9854771221......) = 177528556197496860604529 * c50204(5551090727......) n=100515: c53591(1378722715......) = 51073542084151 * 310391279516191 * c53562(8697039474......) n=100522: c50243(8743241340......) = 10996707024007 * c50230(7950781375......) n=100545: c53617(1109988900......) = 604524505394431 * c53602(1836135491......) n=100555: c59896(5940744483......) = 16456554572641 * c59883(3609956420......) # P-1 B1=1e6 # 140105 of 200000 Phi_n(10) factorizations were cracked. -- May 21, 2018 (Makoto Kamada) -- n=100328: c50154(3436657646......) = 119531832746484650387017 * c50131(2875098262......) n=100336: c50148(3547543021......) = 254748890459012177 * c50131(1392564660......) n=100365: c53514(2910399696......) = 227413629370579681 * c53497(1279782440......) n=100384: c50153(1625656391......) = 37334317465867502614817 * c50130(4354321979......) n=100401: c57269(3787704237......) = 5184010493511593437 * c57250(7306513446......) n=100419: c56960(9009009009......) = 125155121290387 * c56946(7198274362......) # P-1 B1=1e6 # 140103 of 200000 Phi_n(10) factorizations were cracked. -- May 20, 2018 (Makoto Kamada) -- n=100262: c50124(4317689925......) = 10261912769971424736011 * c50102(4207490379......) n=100288: c50094(1632974201......) = 33254684295098453249 * c50074(4910508808......) # P-1 B1=1e6 -- May 19, 2018 (Alfred Reich) -- n=22796: c11017(2807149924......) = 374816984041196891615196241 * c10990(7489388271......) # ECM B1=50000, sigma=0:1487592619946027179 n=22842: c7453(1000000000......) = 1443767527664923555117 * c7431(6926322838......) # ECM B1=50000, sigma=0:12618927845073905886 n=23138: c11045(1099999999......) = 145176295788697412340169 * c11021(7576994536......) # ECM B1=50000, sigma=0:7515191664022120809 n=23160: c6144(9999000100......) = 3932446192069095319441 * c6123(2542692159......) # ECM B1=50000, sigma=0:13504453999559297039 # 140102 of 200000 Phi_n(10) factorizations were cracked. -- May 19, 2018 (Makoto Kamada) -- n=100107: c56953(1000000000......) = 3114191086836481 * c56937(3211106743......) n=100132: c50055(9684562204......) = 5397240701470861 * c50040(1794354326......) n=100136: c50064(9999000099......) = 391957601457817 * c50050(2551041251......) n=100154: c50071(3025633469......) = 13992717905985061992173 * c50049(2162291478......) n=100174: c50067(1182096088......) = 17250196556450322527819 * c50044(6852652866......) n=100191: c52698(8991826529......) = 34352021211409357 * c52682(2617553847......) n=100216: c50095(2420124871......) = 721706549009249 * c50080(3353336442......) n=100222: c50104(2267692428......) = 368799735947303 * c50089(6148845044......) n=100228: c50103(1723058588......) = 473362807564507379264101 * c50079(3640037959......) # P-1 B1=1e6 # 140099 of 200000 Phi_n(10) factorizations were cracked. -- May 19, 2018 (Alfred Reich) -- n=21960: c5745(5759303582......) = 15363592931535714721 * c5726(3748669733......) # ECM B1=40000, sigma=0:15769964948872145997 n=22250: c8768(5248426599......) = 1195182812816416208202251 * c8744(4391316996......) # ECM B1=50000, sigma=1:3653495288 n=23014: c11140(1903865826......) = 683892816720464814046931 * c11116(2783865803......) # ECM B1=50000, sigma=1:579766472 n=23046: c7293(1969343885......) = 4233860675158772777716339 * c7268(4651414009......) # ECM B1=50000, sigma=1:1169676032 n=23400: c5750(2074476356......) = 504106549843915886401 * c5729(4115154538......) # ECM B1=50000, sigma=1:827314141 n=23452: c9585(3888650390......) = 26977552963953890427500801 * c9560(1441439257......) # ECM B1=50000, sigma=1:3289851159 -- May 18, 2018 (Makoto Kamada) -- n=100023: c51825(5981233538......) = 8050059714584119 * c51809(7430048659......) n=100052: c50024(9900990099......) = 738866099324460451621 * c50004(1340024952......) n=100066: c50032(9090909090......) = 1159889162326564175271011 * c50008(7837739489......) n=100088: c50029(1548359210......) = 15032995050148827044401 * c50007(1029973870......) n=100094: c50038(3440292283......) = 6234963828694410738449 * c50016(5517742167......) n=100102: c50033(5890554344......) = 113009526840856161517 * c50013(5212440499......) # P-1 B1=1e6 # 140097 of 200000 Phi_n(10) factorizations were cracked. -- May 18, 2018 (Alfred Eichhorn) -- # via Kurt Beschorner n=78511: c78511(1111111111......) = 320033709185399054711 * c78490(3471856492......) # ECM B1=11e3, sigma=16782052464410323985 n=78853: c78853(1111111111......) = 711436450651091027 * c78835(1561785469......) # ECM B1=11e3, sigma=7333631212948291910 # 140095 of 200000 Phi_n(10) factorizations were cracked. # 13851 of 17984 R_prime factorizations were cracked. -- May 17, 2018 (Makoto Kamada) -- n=198870: c45409(1098890000......) = 1504206419457211 * c45393(7305446818......) n=199080: c44902(3593369689......) = 2281201504585921 * c44887(1575209240......) n=199320: c47975(5777743770......) = 1231464581829444589234081 * c47951(4691766093......) n=199650: c48375(3418789226......) = 34202317952160601 * c48358(9995782248......) # P-1 B1=1e6 # 140093 of 200000 Phi_n(10) factorizations were cracked. -- Apr 29, 2018 (Alfred Reich) -- n=23094: c7636(1041299390......) = 197122042428567985112023 * p7612(5282511166......) # ECM B1=30000, sigma=1:851540156 # ----------------8<----------------8<----------------8<---------------- # $ ./pfgw64 -tc -q"(10^3+1)*(10^11547+1)/(10^9+1)/(10^3849+1)/161659/207847/1200889/39721681/58605713243659/10233975495121702561/197122042428567985112023" # PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6] # # Primality testing (10^3+1)*(10^11547+1)/(10^9+1)/(10^3849+1)/161659/207847/1200889/39721681/58605713243659/10233975495121702561/197122042428567985112023 [N-1/N+1, Brillhart-Lehmer-Selfridge] # Running N-1 test using base 19 # Running N+1 test using discriminant 47, base 1+sqrt(47) # Calling N-1 BLS with factored part 0.15% and helper 0.09% (0.55% proof) # (10^3+1)*(10^11547+1)/(10^9+1)/(10^3849+1)/161659/207847/1200889/39721681/58605713243659/10233975495121702561/197122042428567985112023 is Fermat and Lucas PRP! (3.8877s+0.0086s) # ----------------8<----------------8<----------------8<---------------- # 1141 of 200000 Phi_n(10) factorizations were finished. -- Apr 26, 2018 (Alfred Reich) -- n=23290: c8641(4409953110......) = 1609947537890351636691507761 * p8614(2739190568......) # ECM B1=60000, sigma=0:6873733690899021722 # ----------------8<----------------8<----------------8<---------------- # $ ./pfgw64 -tc -q"(10^5+1)*(10^17+1)*(10^137+1)*(10^11645+1)/(10+1)/(10^85+1)/(10^685+1)/(10^2329+1)/23291/1277246891/17315529209921/334038352578057601/11980711046405439731/1609947537890351636691507761" # PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6] # # Primality testing (10^5+1)*(10^17+1)*(10^137+1)*(10^11645+1)/(10+1)/(10^85+1)/(10^685+1)/(10^2329+1)/23291/1277246891/17315529209921/334038352578057601/11980711046405439731/1609947537890351636691507761 [N-1/N+1, Brillhart-Lehmer-Selfridge] # Running N-1 test using base 3 # Running N+1 test using discriminant 7, base 1+sqrt(7) # Calling N-1 BLS with factored part 0.13% and helper 0.02% (0.42% proof) # (10^5+1)*(10^17+1)*(10^137+1)*(10^11645+1)/(10+1)/(10^85+1)/(10^685+1)/(10^2329+1)/23291/1277246891/17315529209921/334038352578057601/11980711046405439731/1609947537890351636691507761 is Fermat and Lucas PRP! (5.3000s+0.0087s) # ----------------8<----------------8<----------------8<---------------- # 1140 of 200000 Phi_n(10) factorizations were finished. -- May 16, 2018 (Makoto Kamada) -- n=198000: c47994(1803751478......) = 18519320899728001 * c47977(9739835970......) n=198120: c48378(1051656292......) = 1083020907828050881 * c48359(9710396958......) n=198390: c49643(2938236149......) = 11334127899441331 * c49627(2592379559......) # P-1 B1=1e6 -- May 14, 2018 (Makoto Kamada) -- n=195090: c44545(1098890000......) = 69259039633992929491 * c44525(1586637651......) n=195570: c49913(8530619161......) = 1928444820940951561 * c49895(4423574410......) n=195888: c49921(1000000009......) = 612905016430099009 * c49903(1631574196......) n=196170: c48186(1513979130......) = 73115482561528681 * c48169(2070668315......) n=196770: c44923(5584613586......) = 8188209756829147291 * c44904(6820310852......) n=197010: c47521(1000999998......) = 3465094897479840652648171 * c47496(2888809768......) # P-1 B1=1e6 # 140092 of 200000 Phi_n(10) factorizations were cracked. -- May 13, 2018 (Alfred Reich) -- n=22026: c7341(1098901098......) = 39482026264767542628862117 * c7315(2783294584......) # ECM n=23336: c11630(1960424384......) = 139605620471156707643496001 * c11604(1404258924......) # ECM # 140089 of 200000 Phi_n(10) factorizations were cracked. -- May 13, 2018 (Makoto Kamada) -- n=192654: c49681(1000999998......) = 494230809424442804407 * c49660(2025369483......) n=192720: c46071(1017785709......) = 695064152043361 * c46056(1464304706......) n=193290: c48366(4442183144......) = 22937075132781777241 * c48347(1936682475......) n=193710: c46856(1440437340......) = 2396892323759095801 * c46837(6009603877......) n=194010: c49729(1098890109......) = 47954290634161801 * c49712(2291536576......) n=194250: c43195(1029599969......) = 9983967525315420001 * c43176(1031253323......) n=194310: c48366(6776073774......) = 68384047052649703593961 * c48343(9908851649......) n=194370: c43167(6104782140......) = 16969980609165211 * c43151(3597400775......) n=194922: c48374(3257347541......) = 19704658352653 * 3150256429694583710047 * 4046007396221791535274013 * c48315(1296948137......) # P-1 B1=1e6 # 140088 of 200000 Phi_n(10) factorizations were cracked. -- May 12, 2018 (Makoto Kamada) -- n=190806: c48697(7306364480......) = 14685046330066161683173 * c48675(4975377207......) n=190920: c48385(1000099999......) = 19831976431244442721 * c48365(5042866017......) n=190950: c47521(1000009999......) = 17516824834820508601 * c47501(5708854255......) n=191250: c47995(5228730830......) = 94153064753835001 * c47978(5553436676......) n=191400: c44801(1000000000......) = 45236401817112001 * c44784(2210609066......) n=192210: c49729(1098890109......) = 266769717622194641503531 * c49705(4119246066......) # P-1 B1=1e6 # 140086 of 200000 Phi_n(10) factorizations were cracked. -- May 11, 2018 (Alfred Reich) -- n=20786: c9786(1068488429......) = 5381643927314628287996870081 * c9758(1985431300......) # ECM B1=30000, sigma=0:15323499579213394539 n=20792: c9844(6330204304......) = 10845251121412593717817 * c9822(5836844379......) # ECM B1=30000, sigma=0:11416973257696770162 n=21564: c7150(2208168297......) = 12267464021502758821 * c7131(1800020194......) # ECM B1=30000, sigma=0:12155685326482114416 n=21802: c9868(3933468260......) = 12759088542628434223823 * c9846(3082875588......) # ECM B1=30000, sigma=0:3051849520349665657 n=22824: c7565(1573880319......) = 10313017480987253179386697 * c7540(1526110396......) # ECM B1=40000, sigma=0:14707109146490788491 n=23214: c7450(2282282566......) = 2259798857083605754114477 * c7426(1009949429......) # ECM B1=40000, sigma=0:12301014207835686479 n=23316: c7362(5664688563......) = 2602805200057842314923048934041 * c7332(2176378225......) # ECM B1=150000, sigma=0:1459341487260095703 n=23714: c11609(2095255977......) = 276429894284504242134533 * c11585(7579701114......) # ECM B1=40000, sigma=0:6643731426709053262 n=23726: c11862(9090909090......) = 555814026145434467849041 * c11839(1635602677......) # ECM B1=40000, sigma=0:6553429604685569436 n=23986: c11749(1099999999......) = 524777143127930858501503 * c11725(2096127879......) # ECM B1=40000, sigma=0:1785692970197452405 # 140082 of 200000 Phi_n(10) factorizations were cracked. -- May 11, 2018 (Makoto Kamada) -- n=189720: c46066(1849217923......) = 1296900731013593607591534721 * c46039(1425874686......) n=189924: c48373(1153417416......) = 1531249172081210821 * c48354(7532525976......) n=190008: c48385(1000000000......) = 339587421408740233 * c48367(2944749825......) n=190350: c49680(9999999999......) = 353952238674848851 * c49663(2825239935......) n=190710: c46636(3294374854......) = 2160874702446259863772801 * c46612(1524556167......) # P-1 B1=1e6 # 140080 of 200000 Phi_n(10) factorizations were cracked. -- May 10, 2018 (Alfred Reich) -- n=20030: c8004(1830538683......) = 4346392291393509990829171 * c7979(4211627852......) # ECM B1=30000, sigma=0:10517322922377920486 n=20270: c8068(2083415378......) = 719923332603258291971 * c8047(2893940624......) # ECM B1=30000, sigma=0:14885204601445452007 n=20458: c9950(7741018364......) = 18217384708735298408444041 * c9925(4249247895......) # ECM B1=30000, sigma=0:15153391038980656249 n=20482: c7540(6313263614......) = 705827464296083315957 * c7519(8944485634......) # ECM B1=30000, sigma=0:3453024655241498145 n=20556: c6820(2468651918......) = 888998832158661081289 * c6799(2776889945......) # ECM B1=30000, sigma=0:14190685822851930857 n=20886: c6809(2526926531......) = 3684862771844907170653 * c6787(6857586530......) # ECM B1=30000, sigma=0:10909305864518645043 n=20926: c10403(1789584395......) = 22975723811047080769 * c10383(7789022926......) # ECM B1=30000, sigma=0:7216308716096740317 n=21120: c5120(9999999999......) = 209526647217655535839230721 * c5094(4772662633......) # ECM B1=30000, sigma=0:8070808162115121113 n=21204: c6463(9042719216......) = 23723593055028279901 * c6444(3811698841......) # ECM B1=30000, sigma=0:16931737896727739619 n=21212: c10589(2413061700......) = 170012574724792205013941 * c10566(1419343071......) # ECM B1=30000, sigma=0:6843932414249005604 n=21222: c7009(7195439636......) = 1532545756870581788653 * c6988(4695089594......) # ECM B1=30000, sigma=0:12558755685138493751 n=21246: c7051(5749767919......) = 4191820301451135702493 * c7030(1371663741......) # ECM B1=30000, sigma=0:10573051131178512077 n=21290: c8499(1285704297......) = 34488591492179096101801 * c8476(3727911873......) # ECM B1=30000, sigma=0:6354986512408917808 n=21364: c9032(8331765141......) = 300059517401710903867241 * c9009(2776704173......) # ECM B1=30000, sigma=0:12092515746287356001 n=21472: c9576(1958081425......) = 12051315689246761313 * c9557(1624786435......) # ECM B1=30000, sigma=0:6914505630637830573 n=21474: c7142(1632740995......) = 190469529474686288677 * c7121(8572190000......) # ECM B1=30000, sigma=0:15941903085639067013 n=21496: c10718(3076114131......) = 291055248093346836689 * c10698(1056883238......) # ECM B1=30000, sigma=0:10144039621344726895 n=21688: c10824(1599331534......) = 153782328394848939361 * c10804(1039996955......) # ECM B1=30000, sigma=0:972985192930409911 n=22974: c6530(4010967543......) = 33831135188046013344392209 * c6505(1185584675......) # ECM B1=40000, sigma=0:98807509673428110 n=23620M: c4699(7344842861......) = 3289999632232205630341 * c4678(2232475283......) # ECM B1=40000, sigma=0:1322768198011052457 n=23674: c9480(1836043958......) = 564271281277225444478249 * c9456(3253832012......) # ECM B1=40000, sigma=0:14051963544459183768 # 140078 of 200000 Phi_n(10) factorizations were cracked. -- May 10, 2018 (Makoto Kamada) -- n=188250: c49995(1328019484......) = 59107933535040001 * c49978(2246770281......) n=188400: c49902(1427308357......) = 15609317176801 * c49888(9143951278......) n=189090: c45542(8078757337......) = 20777251761133561 * c45526(3888270417......) # P-1 B1=1e6 -- May 8, 2018 (Alfred Reich) -- n=22214: c10686(9292113215......) = 235773332346155521703 * c10666(3941121382......) # ECM B1=40000, sigma=1:4248243357 n=22298: c11142(3261604028......) = 998973452038938693727 * c11121(3264955662......) # ECM B1=40000, sigma=1:1786125509 n=22426: c11185(1066083734......) = 1956926877818957720693 * c11163(5447744349......) # ECM B1=40000, sigma=1:654416889 n=22470: c5059(6917972186......) = 8114441776151991273211 * c5037(8525505976......) # ECM B1=40000, sigma=1:502327656 n=22568: c8625(2162508431......) = 40483468367351468369 * c8605(5341707413......) # ECM B1=40000, sigma=1:3632304368 n=22598: c11260(2264334131......) = 78966848782790071621987813 * c11234(2867449020......) # ECM B1=40000, sigma=1:1312756853 n=22724: c9499(8714049426......) = 1098390079641010596389 * c9478(7933474262......) # ECM B1=40000, sigma=1:3354143327 n=23038: c11486(1636095531......) = 623951267381495984641 * c11465(2622152750......) # ECM B1=40000, sigma=1:2405822427 n=23370: c5756(4701938770......) = 32419644899365674155371 * c5734(1450336296......) # ECM B1=40000, sigma=1:4145754643 n=23376: c7767(4867324946......) = 352167180406222265569 * c7747(1382106345......) # ECM B1=40000, sigma=1:3136736902 n=23474: c10540(1345463289......) = 645927858571061886557 * c10519(2082993125......) # ECM B1=40000, sigma=1:2388549597 n=23478: c6049(1098900989......) = 18406191327092983679539 * c6026(5970279073......) # ECM B1=40000, sigma=1:4127388752 n=23816: c10923(2081577785......) = 133732148432018174014393 * c10900(1556527588......) # ECM B1=40000, sigma=1:2899372979 # 140077 of 200000 Phi_n(10) factorizations were cracked. -- May 8, 2018 (Makoto Kamada) -- n=187320: c42625(1000099999......) = 80868231431319587957521 * c42602(1236703192......) n=187410: c49961(4496029971......) = 262784558648460601 * c49944(1710918630......) n=187560: c49915(2665806499......) = 29686426273614961 * c49898(8979883517......) # P-1 B1=1e6 # 140076 of 200000 Phi_n(10) factorizations were cracked. -- May 7, 2018 (Alfred Eichhorn) -- # via Kurt Beschorner n=23357: c23357(1111111111......) = 271754693239811669470333 * c23333(4088654727......) # ECM B1=5e4, sigma=13657867932100063494 n=23447: c23447(1111111111......) = 17021960507400565282497842551 * c23418(6527515503......) # ECM B1=5e4, sigma=7981419157208808342 # 140075 of 200000 Phi_n(10) factorizations were cracked. # 13849 of 17984 R_prime factorizations were cracked. -- May 7, 2018 (Makoto Kamada) -- n=186030: c44929(1000000000......) = 2216047356260939460042811 * c44904(4512538949......) n=186150: c46081(1000009999......) = 28884721441373251 * c46064(3462072507......) n=186240: c49145(1627095672......) = 498196056115372801 * c49127(3265974615......) n=186360: c49658(5365418938......) = 9521322446353987921 * c49639(5635161469......) n=186390: c46649(9590105837......) = 1999405879360221672046892830681 * c46619(4796477761......) # P-1 B1=1e6 # 140073 of 200000 Phi_n(10) factorizations were cracked. -- May 6, 2018 (Makoto Kamada) -- n=185262: c47977(5173124669......) = 20747238471062797 * c47961(2493403966......) n=185400: c48960(9999999999......) = 581862088708671601 * c48943(1718620304......) n=185490: c49243(5391097142......) = 13934873329355955563731 * c49221(3868780874......) n=185550: c49440(9999900001......) = 5313504269375802001 * 8587414417538436817651 * c49400(2191554126......) n=185670: c49476(2034562135......) = 1112486861656986121 * c49458(1828841495......) n=185730: c47994(4551228851......) = 80407664082928411 * 65225059222689486091 * 295438719339138765961 * c47937(2937306957......) n=185760: c48339(2017159558......) = 11450279351848527478081 * c48317(1761668424......) n=185790: c44961(1098890109......) = 335937087883064114371 * c44940(3271118758......) n=185970: c49564(4558208945......) = 12366047626441 * c49551(3686067758......) # P-1 B1=1e6 # 140071 of 200000 Phi_n(10) factorizations were cracked. -- May 5, 2018 (Alfred Reich) -- n=23262: c7710(2672038663......) = 53562025474554503558019196579 * c7681(4988681140......) # ECM B1=150000, sigma=0:14323758265247461739 -- May 4, 2018 (Alfred Reich) -- n=21916: c10943(2004559541......) = 28097789569054783731149 * c10920(7134225049......) # ECM B1=30000, sigma=0:5189991214069408284 -- May 3, 2018 (Alfred Reich) -- n=21984: c7288(5736144653......) = 324828126684701569057 * c7268(1765901466......) # ECM B1=30000, sigma=0:14577913801294517629 n=23288: c11183(3947648075......) = 20234042132232443753784289 * c11158(1950993306......) # ECM B1=140000, sigma=0:6893249637906514651 n=23930: c9558(7137092719......) = 866933485450756404389171 * c9534(8232572440......) # ECM B1=30000, sigma=0:6426825532488554108 n=23950: c9561(1000009999......) = 15379521194956236967872554801 * c9532(6502218029......) # ECM B1=30000, sigma=0:1006143038572232437 # 140068 of 200000 Phi_n(10) factorizations were cracked. -- May 1, 2018 (Alfred Reich) -- n=22796: c11041(1009999999......) = 359795531855942749849361 * c11017(2807149924......) # ECM B1=30000, sigma=0:17411981955128881185 n=22836: c6799(4872388999......) = 14773288051255490855341 * c6777(3298107356......) # ECM B1=30000, sigma=0:11716310639210013685 n=23150: c9241(1000009999......) = 2845597214940682315601 * c9219(3514235938......) # ECM B1=30000, sigma=0:3748596137124290421 n=23548: c9733(1972043197......) = 1516713644158716481981497569 * c9706(1300207989......) # ECM B1=30000, sigma=0:74914349126887900 n=23574: c7844(2552660087......) = 118327192110527086609807 * c7821(2157289497......) # ECM B1=30000, sigma=0:1818097004708037018 n=23662: c11818(2312857875......) = 63134557409443666893997 * c11795(3663378616......) # ECM B1=30000, sigma=0:15233875047495255519 n=23708: c11823(1615812336......) = 570682098615135232823497861 * c11796(2831370286......) # ECM B1=30000, sigma=0:15758574694717741754 n=23724: c7881(1999802713......) = 7302474237336762219543109 * c7856(2738527585......) # ECM B1=30000, sigma=0:16936814776032100055 n=23734: c11856(1410959454......) = 11628934285305323439449 * c11834(1213317935......) # ECM B1=30000, sigma=0:5268695558607017387 # 140067 of 200000 Phi_n(10) factorizations were cracked. -- Apr 29, 2018 (Alfred Reich) -- n=21544: c10722(7094820464......) = 58156652025683761601 * c10703(1219949948......) # ECM B1=20000, sigma=0:7860396861188441525 n=21560: c6703(1209600739......) = 47725688250392946641 * c6683(2534485690......) # ECM B1=20000, sigma=0:8389940386577499658 n=21706: c10847(1269150046......) = 415149219432264281 * c10829(3057093659......) # ECM B1=20000, sigma=0:11669404728202248623 n=21794: c10230(7049808034......) = 7978583311051749881 * c10211(8835914547......) # ECM B1=20000, sigma=0:6613317273867922441 n=21826: c9331(1039033798......) = 322206214662816402647 * c9310(3224747852......) # ECM B1=20000, sigma=0:474719382698110547 n=22436: c10899(1417762180......) = 234995614108899264601 * x10878(6033143153......) # ECM B1=30000, sigma=1:1587424277 n=22436: x10878(6033143153......) = 26194593889887632802961 * c10856(2303201637......) # ECM B1=30000, sigma=1:2329052330 n=22736: x9370(3515543629......) = 41748925416262458577 * c9350(8420680518......) # ECM B1=30000, sigma=1:3720411656 -- Apr 28, 2018 (Alfred Reich) -- n=20496: c5760(9999999900......) = 13105689169892421455809 * c5738(7630273975......) # ECM B1=20000, sigma=0:16258183665855041457 n=20742: c6876(2176413356......) = 672859921071059790967 * c6855(3234571250......) # ECM B1=20000, sigma=0:10070525730048381291 n=20814: c6925(4418899576......) = 6122202918123026459176201 * c6900(7217826058......) # ECM B1=20000, sigma=0:17899049458126985001 n=20828: c10066(1755229634......) = 318269556210450232888349 * c10042(5514915267......) # ECM B1=20000, sigma=0:4193133964626955841 n=20830: c8322(2095552032......) = 5129827720104761801 * c8303(4085033935......) # ECM B1=20000, sigma=0:4639541110393498687 n=20850: c5488(1925827882......) = 11664560272490893779001 * c5466(1651007699......) # ECM B1=20000, sigma=0:15931695478813223964 n=20874: c5871(2650985088......) = 714023669691642157 * c5853(3712741189......) # ECM B1=20000, sigma=0:16613001515040554655 n=21294: c5596(5238316381......) = 333071718584617396567 * c5576(1572729261......) # ECM B1=20000, sigma=0:16403838449731397604 n=21352: c9960(2592934225......) = 90805105572642300793 * c9940(2855493872......) # ECM B1=20000, sigma=0:2921321008582494250 n=21498: c7142(1636536321......) = 3855379846865309731 * c7123(4244812149......) # ECM B1=20000, sigma=0:6945042202035459960 n=23266: c11632(9090909090......) = 22606625080204699432001773 * c11607(4021347307......) # ECM B1=40000, sigma=0:5143552140191911689 # 140065 of 200000 Phi_n(10) factorizations were cracked. -- Apr 27, 2018 (Alfred Reich) -- n=23350: c9309(3184210668......) = 22461351192749200810201 * c9287(1417639856......) # ECM B1=40000, sigma=0:12604589739541930240 n=23996: c10267(8417999516......) = 352454009892682945234289 * c10244(2388396579......) # ECM B1=20000, sigma=0:9706827657384511591 -- Apr 26, 2018 (Alfred Reich) -- n=20706: c5342(1759220783......) = 12336023570943831303637 * c5320(1426084162......) # ECM B1=100000, sigma=1:1318743927 n=21154: c9048(3664493384......) = 421190653502164377287 * c9027(8700319805......) # ECM B1=20000, sigma=0:9486056231511020484 n=21638: c10362(7483551680......) = 3458127011880204121327 * c10341(2164047663......) # ECM B1=20000, sigma=0:1449171332798559768 n=21878: c10910(2608139273......) = 25729408761731874719525333 * c10885(1013680220......) # ECM B1=20000, sigma=0:16776611829610873605 n=22082: c10791(1931798747......) = 40969776802515604126739 * c10768(4715180062......) # ECM B1=20000, sigma=1:3629659757 n=22286: c10092(1374524916......) = 8038227108471889510312099 * c10067(1709985172......) # ECM B1=20000, sigma=1:853770261 n=22408: c11183(7281470549......) = 490628519317648795418915859193 * c11154(1484110740......) # ECM B1=20000, sigma=1:1456332616 n=22472: c11019(2224986149......) = 14988706487896366746553 * c10997(1484441737......) # ECM B1=20000, sigma=1:4242655089 n=22600: c8955(4424759182......) = 260658895300161017201 * c8935(1697528556......) # ECM B1=20000, sigma=1:3626530518 n=22726: c10297(2855959027......) = 4950970653455270291 * c10278(5768483044......) # ECM B1=20000, sigma=1:337845073 n=22736: c9393(3042916392......) = 86556069666629845756657 * x9370(3515543629......) # ECM B1=20000, sigma=1:475044301 n=22792: c8627(5790402775......) = 6433367437817823942209 * c8605(9000578362......) # ECM B1=20000, sigma=0:8093955633712700869 n=22954: c10941(4015887268......) = 28706986318792348339 * c10922(1398923322......) # ECM B1=20000, sigma=0:16937956484807558428 n=23044: c9853(2058405029......) = 30418451823925647046181 * c9830(6766961847......) # ECM B1=20000, sigma=1:2837189352 n=23202: c7701(4939961468......) = 4730921137702810805401 * c7680(1044185968......) # ECM B1=20000, sigma=0:15469117239577867340 n=23236: c11216(1040748313......) = 409369609789512725805889 * c11192(2542319431......) # ECM B1=20000, sigma=0:9616979636250032009 n=23256: c6912(9999999999......) = 49177192473536962319424937 * c6887(2033462972......) # ECM B1=60000, sigma=0:15043596394147131920 n=23308: c11636(1514813452......) = 1087743101038231200522709 * c11612(1392620602......) # ECM B1=40000, sigma=0:5678370203704245458 n=23312: c11015(8228658336......) = 2046249300978680745601 * c10994(4021337152......) # ECM B1=50000, sigma=0:4956438207708799996 n=23316: c7384(2444697871......) = 4315679218343386421461 * c7362(5664688563......) # ECM B1=40000, sigma=0:3221845111387883978 n=23638: c11469(3379904483......) = 565053705076161416476331 * c11445(5981563262......) # ECM B1=20000, sigma=0:15579167569750415130 # 140063 of 200000 Phi_n(10) factorizations were cracked. -- May 5, 2018 (Makoto Kamada) -- n=184200: c48948(6140147772......) = 484588402759866001 * c48931(1267085166......) n=184440: c46587(2711172437......) = 2080696717643437598804641 * c46563(1303011829......) n=184560: c49152(9999999900......) = 4435770342763305589230600961 * c49125(2254399828......) n=184680: c46656(9999999999......) = 901726560442160641 * 45182353249194783841 * c46619(2454461878......) n=184920: c46452(9139540430......) = 376912027066967521 * c46435(2424847119......) n=184926: c48375(1272968213......) = 25553833373311237 * c48358(4981515670......) # P-1 B1=1e6 # 140062 of 200000 Phi_n(10) factorizations were cracked. -- May 4, 2018 (Makoto Kamada) -- n=183414: c47509(4649608437......) = 241989487545961 * c47495(1921409266......) n=183510: c48890(4936366137......) = 160082296333469641 * c48873(3083642757......) n=183690: c44919(2135344214......) = 3891529940155651 * c44903(5487158643......) n=183750: c41994(4947431071......) = 75399871075226969444276251 * c41968(6561590889......) n=183870: c48806(2749335299......) = 116421269295802094731 * c48786(2361540391......) n=184050: c48947(3492430874......) = 395642361944251 * c48932(8827242000......) n=184080: c44516(1428678383......) = 919811772882930782401 * c44495(1553229068......) # P-1 B1=1e6 -- May 3, 2018 (Makoto Kamada) -- n=182610: c48672(9990010000......) = 169349250711362575027051 * c48649(5899057691......) n=182784: c49138(2113782549......) = 1299697047123269107396609 * c49114(1626365585......) n=183090: c45819(6001879447......) = 7754578457004481 * c45803(7739788153......) n=183210: c47041(1098890109......) = 17599361690977441 * c47024(6243920258......) n=183240: c48768(9999999999......) = 195424012368104016961 * c48748(5117078438......) # P-1 B1=1e6 # 140060 of 200000 Phi_n(10) factorizations were cracked. -- May 2, 2018 (Makoto Kamada) -- n=181896: c49890(6433227685......) = 215142169942447177 * c49873(2990221622......) n=181950: c48463(1088827837......) = 43975945578154442851 * c48443(2475962308......) n=182028: c47020(2574541647......) = 196455726647500426444801 * c46997(1310494578......) n=182130: c44730(4641188862......) = 32607091738555349731 * c44711(1423367928......) n=182190: c48557(5562309017......) = 151273152623731 * c48543(3676996824......) n=182364: c47793(3151786137......) = 48850318252318129 * c47776(6451925493......) n=182400: c46064(6673099776......) = 133038923150841601 * c46047(5015900323......) # P-1 B1=1e6 -- May 1, 2018 (Makoto Kamada) -- n=181170: c43179(3054631349......) = 154176953408281 * c43165(1981250298......) n=181320: c48320(9999000100......) = 20387067454912687942321 * c48298(4904579887......) n=181350: c43188(5506377803......) = 698688642158449540651 * c43167(7881018054......) n=181356: c48370(5227849234......) = 108284920600669 * c48356(4827864494......) n=181440: c41448(2820407442......) = 1310077821422361601 * c41430(2152854888......) n=181470: c46102(1107611972......) = 30085778960461921 * c46085(3681513362......) n=181590: c48390(2779254829......) = 5106503278136401 * c48374(5442579155......) # P-1 B1=1e6 # 140057 of 200000 Phi_n(10) factorizations were cracked.