-- Oct 31, 2017 (Makoto Kamada) -- n=127070: c49901(1502832057......) = 18312313957367411 * c49884(8206674813......) n=127098: c40370(5660681614......) = 30042189888041811466009 * c40348(1884244003......) n=127104: c42241(1000000000......) = 564490542032617332265729 * c42217(1771508866......) n=127120: c43362(2417486012......) = 1162890894287165349601 * c43341(2078858837......) n=127122: c42359(4607124546......) = 192276840381361 * 17848044746453786929 * c42326(1342493927......) n=127158: c42378(5761339031......) = 609897189668731 * c42363(9446410196......) n=127164: c42377(1011782347......) = 3667469989620611221 * c42358(2758801981......) # P-1 B1=1e6 # 139574 of 200000 Phi_n(10) factorizations were cracked. -- Oct 30, 2017 (Makoto Kamada) -- n=126846: c40818(1922822888......) = 145598599082142379 * c40801(1320632822......) n=126880: c46064(2542138293......) = 50912931011549486837124098131201 * c46032(4993109300......) n=126920: c47808(9999000099......) = 1475191777397418042401 * c47787(6778101839......) n=126948: c41413(5720690154......) = 579453255459781 * 2334006882073189 * c41383(4229878439......) n=126996: c40032(9901000000......) = 10050736725867301 * c40016(9851019154......) n=127010: c46848(9091000000......) = 9252256719420157561 * c46829(9825710932......) n=127026: c42318(7489728916......) = 473617598382918037 * c42301(1581387376......) # P-1 B1=1e6 # 139573 of 200000 Phi_n(10) factorizations were cracked. -- Oct 29, 2017 (Makoto Kamada) -- n=126564: c41172(1672636404......) = 1256917422380341 * c41157(1330744864......) n=126606: c42193(7056659796......) = 57690828109334419 * c42177(1223185734......) n=126610: c45995(7180260798......) = 135513476523041 * c45981(5298558477......) n=126648: c42184(1047340554......) = 1706766717148120674793 * c42162(6136401325......) n=126666: c40680(9990010000......) = 57853233380808739 * c40664(1726785075......) n=126670: c49486(4060629708......) = 10534398172809451 * c49470(3854638529......) n=126696: c42225(1000099999......) = 12910621104730391569 * c42205(7746335299......) n=126702: c42229(1000999998......) = 6365191261397383 * c42213(1572615743......) # P-1 B1=1e6 # 139570 of 200000 Phi_n(10) factorizations were cracked. -- Oct 28, 2017 (Makoto Kamada) -- n=126384: c42102(3702189785......) = 697585283315329 * c42087(5307150070......) n=126414: c42121(1000000000......) = 1649124138092410477 * c42102(6063824898......) n=126552: c42170(2394751039......) = 239825538962935106058183574369 * c42140(9985387917......) # P-1 B1=1e6 # 139567 of 200000 Phi_n(10) factorizations were cracked. -- Oct 27, 2017 (Makoto Kamada) -- n=126078: c42025(1098901098......) = 5902572431425801 * c42009(1861732510......) n=126138: c42000(5134682586......) = 5418279475897237 * c41984(9476592356......) n=126156: c42025(4889715588......) = 19220865503209 * c42012(2543962230......) n=126230: c46553(2609395932......) = 2807706701376196537451 * c46531(9293691292......) n=126264: c42081(1000099999......) = 36125823915613759513 * c42061(2768379767......) n=126342: c42101(4951836827......) = 15987076646465774449 * c42082(3097399816......) # P-1 B1=1e6 # 139566 of 200000 Phi_n(10) factorizations were cracked. -- Oct 26, 2017 (Makoto Kamada) -- n=125964: c41967(1502988280......) = 126236584540344601 * c41950(1190612282......) n=125972: c48940(1498143659......) = 422700879213316102443661 * c48916(3544217041......) n=125988: c41981(1385458234......) = 96869029925389 * c41967(1430238575......) n=125990: c49024(5180291185......) = 142094670616091 * c49010(3645661841......) n=126024: c40832(9999000100......) = 496810178268721 * c40818(2012639945......) n=126036: c41905(1000000000......) = 163447382040579037081 * c41884(6118176917......) n=126066: c42012(3998564807......) = 69707948997367 * c41998(5736167632......) # P-1 B1=1e6 # 139564 of 200000 Phi_n(10) factorizations were cracked. -- Oct 25, 2017 (Makoto Kamada) -- n=125634: c41862(5292005739......) = 2590787073214223263 * c41844(2042624727......) n=125720: c42988(6877780908......) = 43495966439521 * c42975(1581245681......) n=125724: c41905(1009998990......) = 19008902258722365443329 * c41882(5313294667......) n=125800: c46068(4737555038......) = 382234882491786001 * c46051(1239435555......) n=125802: c40310(1934201619......) = 3371910422501158074001 * c40288(5736218871......) n=125818: c45337(7733985512......) = 4512445255716222133 * c45319(1713923399......) # P-1 B1=1e6 # 139562 of 200000 Phi_n(10) factorizations were cracked. -- Oct 24, 2017 (Makoto Kamada) -- n=125570: c48359(2594402661......) = 248777590713840802561 * c48339(1042860272......) n=125590: c47498(4894019037......) = 2419412492582553521 * c47480(2022812997......) n=125616: c41840(5805328348......) = 72777119531377 * c41826(7976859191......) # P-1 B1=1e6 -- Oct 23, 2017 (Makoto Kamada) -- n=125290: c42241(1099989000......) = 19311120029879921 * c42224(5696142939......) n=125322: c41773(1098901098......) = 12153893736973 * c41759(9041555921......) n=125376: c41685(2538301659......) = 295834958124090619009 * c41664(8580127499......) n=125394: c41797(1098901098......) = 3089997323955943 * c41781(3556317315......) n=125526: c41821(7622299635......) = 1539610948312009 * c41806(4950795941......) # P-1 B1=1e6 # 139561 of 200000 Phi_n(10) factorizations were cracked. -- Oct 22, 2017 (Makoto Kamada) -- n=125106: c40188(1025772605......) = 538786524107173 * c40173(1903857204......) n=125120: c45044(5740637093......) = 117561406209281 * c45030(4883096654......) n=125124: c41705(1009998990......) = 201085031416729 * c41690(5022745765......) n=125142: c41705(1046630897......) = 1103358971825596813 * c41686(9485860212......) n=125178: c40310(3013687871......) = 740194488261979 * c40295(4071481103......) n=125196: c41706(4998970845......) = 4643673990921848689 * c41688(1076512015......) n=125210: c47370(1296535920......) = 13181885550571 * c47356(9835739471......) n=125226: c41667(3706132724......) = 475477642203783823 * c41649(7794546778......) n=125232: c41729(1000000009......) = 296322916333439082097 * c41708(3374696842......) n=125240: c47961(2051840868......) = 32770606609878961 * c47944(6261223337......) # P-1 B1=1e6 # 139558 of 200000 Phi_n(10) factorizations were cracked. -- Oct 21, 2017 (Makoto Kamada) -- n=124836: c40789(6503771074......) = 99120884056080361 * c40772(6561453861......) n=124850: c45175(5025456363......) = 614832174464873976601 * c45154(8173704259......) n=124854: c41617(1098901098......) = 25453767734041 * c41603(4317243366......) n=124968: c40313(4469970973......) = 24851298098627428451494321 * c40288(1798687117......) n=124990: c48160(9091000000......) = 149982878802556697971827758761 * c48131(6061358518......) n=125000: c50000(9999999999......) = 204322984500001 * c49986(4894211987......) # P-1 B1=1e6 # 139556 of 200000 Phi_n(10) factorizations were cracked. -- Oct 20, 2017 (Makoto Kamada) -- n=124662: c40863(6874224020......) = 2787764541757525599721 * c40842(2465855317......) n=124692: c41561(1009998990......) = 814762297442341 * c41546(1239624112......) n=124704: c41446(1426289583......) = 124982595319123291062529 * c41423(1141190563......) n=124754: c49890(4715159096......) = 94517020964213 * c49876(4988687802......) n=124790: c49913(1099989000......) = 99466065648262081 * c49896(1105893746......) # P-1 B1=1e6 # 139553 of 200000 Phi_n(10) factorizations were cracked. -- Oct 19, 2017 (Makoto Kamada) -- n=124392: c40320(9999000100......) = 430837154725353311921737 * c40297(2320830501......) n=124416: c41466(4727969200......) = 694184841169921 * c41451(6810821728......) n=124452: c41456(1999656897......) = 21622702416121 * c41442(9247950873......) n=124480: c49650(2253030585......) = 1514442618636161 * c49635(1487696237......) n=124490: c48698(2644167150......) = 187745643893037491 * c48681(1408377364......) n=124494: c41485(3015388336......) = 558961951110884102976003877 * c41458(5394621816......) n=124570: c49797(1868646383......) = 1881178043353817441 * c49778(9933383979......) # P-1 B1=1e6 # 139551 of 200000 Phi_n(10) factorizations were cracked. -- Oct 18, 2017 (Makoto Kamada) -- n=124296: c41407(4217536133......) = 719852052870289 * 14314307455193162530129 * c41370(4093032786......) n=124308: c41388(4019503862......) = 23406885607783052701 * c41369(1717231386......) n=124356: c40320(9901000000......) = 4040985335309948308561 * c40299(2450144996......) # P-1 B1=1e6 # 139550 of 200000 Phi_n(10) factorizations were cracked. -- Oct 17, 2017 (Alfred Reich) -- n=3390: c870(1816424769......) = 302841383970711301680945052526521 * c837(5997941054......) # ECM B1=1000000, sigma=1:1509310649 -- Oct 17, 2017 (Makoto Kamada) -- n=124090: c49626(5540275435......) = 1381983762889786051 * c49608(4008929471......) n=124124: c43164(5318679976......) = 4240816600510722814690109 * c43140(1254164109......) n=124182: c41370(7073552841......) = 11006371437386301397 * c41351(6426780053......) n=124224: c41329(1239575434......) = 171405224579825459137 * c41308(7231841602......) n=124266: c40842(1076911734......) = 2696345191568252685769837 * c40817(3993968345......) # P-1 B1=1e6 -- Oct 16, 2017 (Makoto Kamada) -- n=123880: c46640(7582440602......) = 1615739882200942482241 * c46619(4692859714......) n=123906: c40697(3034825152......) = 181412006553743089 * c40680(1672891011......) n=123910: c49561(1099989000......) = 32642398376321 * c49547(3369816725......) n=123912: c41274(3362600285......) = 662767368742867230746929 * c41250(5073575501......) n=123920: c49537(1000000009......) = 3362885746394022122401 * c49515(2973636588......) n=123936: c41281(1000000000......) = 122260513058017 * c41266(8179255713......) n=123998: c49897(8390906448......) = 495599268414342658903 * c49877(1693082896......) n=124002: c40823(7856098497......) = 136901405887579 * c40809(5738508269......) n=124030: c48662(4485425279......) = 263263361246881 * c48648(1703778778......) n=124040: c42432(9999000099......) = 51433710445961158774752721 * c42407(1944055759......) n=124070: c46944(9091000000......) = 12731088775271233531 * c46925(7140787532......) # P-1 B1=1e6 # 139549 of 200000 Phi_n(10) factorizations were cracked. -- Oct 15, 2017 (Alfred Reich) -- n=6420M: c828(2904740120......) = 635390420419704778459322819229975601 * c792(4571583120......) # ECM B1=2000000, sigma=1:4033305829 n=7740L: c981(7258827785......) = 112861408046196922060728644228472765841 * c943(6431629651......) # ECM B1=2000000, sigma=1:783881686 -- Oct 15, 2017 (Makoto Kamada) -- n=123672: c41194(1452599282......) = 158597723983729 * 4207743045768449569 * c41161(2176705446......) n=123702: c40346(4904256517......) = 142087206387779641 * c40329(3451582054......) n=123710: c48555(3094792926......) = 29344451417921 * c48542(1054643306......) n=123744: c41205(5985945410......) = 151590474766177 * c41191(3948760909......) n=123798: c40296(9100000000......) = 1131574922757817407637 * c40275(8041889067......) # P-1 B1=1e6 # 139544 of 200000 Phi_n(10) factorizations were cracked. -- Oct 14, 2017 (Alfred Reich) -- n=4340L: c621(5599943857......) = 952846312570007577050723081040768241 * c585(5877069348......) # ECM B1=2000000, sigma=1:1381967755 n=4700L: c920(9900498007......) = 780599108882572060886313194155724085701 * c882(1268320434......) # ECM B1=2000000, sigma=1:3828270230 n=8940M: c1130(5393425872......) = 5275415368338873197815559526085771801 * c1094(1022369898......) # ECM B1=1350000, sigma=1:1113189447 n=9220M: c1831(6848105930......) = 116887569046811596896977743981921 * c1799(5858711911......) # ECM B1=1250000, sigma=1:2773280274 n=15380M: c3050(2639144021......) = 79181609711634497116501 * c3027(3333026483......) # ECM B1=350000, sigma=1:377584406 n=19900L: c3933(2313140910......) = 225242670041118035350801 * c3910(1026955021......) # ECM B1=150000, sigma=1:3037585235 -- Oct 14, 2017 (Makoto Kamada) -- n=123414: c40382(6850327648......) = 210953664898891 * c40368(3247313883......) n=123426: c41124(7220688371......) = 16127801221862692207 * c41105(4477168507......) n=123456: c41083(8099986230......) = 15881952449229968833 * c41064(5100119935......) n=123470: c49379(2969644530......) = 1340859664600192168188469771 * c49352(2214731793......) n=123490: c48244(2159909053......) = 170240417086551330971 * c48224(1268740461......) n=123498: c41136(1444178164......) = 14703353720376967 * c41119(9822100400......) n=123530: c44880(9091000000......) = 413410662665771 * c44866(2199024074......) n=123560: c49409(1000099999......) = 4417762838088241 * 56527296613180721 * c49376(4004818270......) n=123588: c41161(4427916300......) = 90444783774421 * c41147(4895712185......) # P-1 B1=1e6 # 139543 of 200000 Phi_n(10) factorizations were cracked. -- Oct 14, 2017 (Alfred Reich) -- n=7700M: c1175(1867566913......) = 38041784784146774130170998462735601 * c1140(4909251562......) # ECM B1=1200000, sigma=1:337140686 -- Oct 13, 2017 (Makoto Kamada) -- n=123204: c41065(1009998990......) = 2758816307449210429 * c41046(3660986732......) n=123252: c41081(1009998990......) = 247612811470409294245081 * c41057(4078944800......) n=123258: c41060(1046183221......) = 36338057073589581769 * c41040(2879029054......) n=123284: c48379(4055659876......) = 195696296867066101 * c48362(2072425457......) n=123294: c41097(1098901098......) = 1416873412897699699 * c41078(7755817060......) n=123310: c41753(2430658637......) = 2058675430666563021721 * c41732(1180690555......) n=123320: c49282(4233051284......) = 9032479737391277556721 * c49260(4686477476......) n=123378: c41113(5156456385......) = 56537647840579 * c41099(9120394255......) # P-1 B1=1e6 # 139541 of 200000 Phi_n(10) factorizations were cracked. -- Oct 12, 2017 (Makoto Kamada) -- n=123108: c41022(6459925701......) = 78116610470517361 * c41005(8269592936......) n=123110: c45408(9091000000......) = 2100073466365291 * c45393(4328896177......) n=123126: c41034(4250004346......) = 23599439230279477 * c41018(1800892091......) n=123138: c41012(5252826280......) = 101926190144043703 * c40995(5153558935......) # P-1 B1=1e6 # 139538 of 200000 Phi_n(10) factorizations were cracked. -- Oct 12, 2017 (Bo Chen) -- n=199954: c94081(1099999999......) = 28081938468277 * x94067(3917108504......) n=199954: x94067(3917108504......) = 14360599702219 * c94054(2727677524......) # 139537 of 200000 Phi_n(10) factorizations were cracked. -- Oct 12, 2017 (Makoto Kamada) -- n=122922: c40962(2808059717......) = 54286355191902688242001 * c40939(5172680515......) n=122950: c49161(1000009999......) = 2099860562211995201 * 2507754398727485909056201 * c49118(1899017141......) n=122960: c46592(9999999900......) = 6039905933595361 * c46577(1655654907......) n=122964: c40985(1009998990......) = 448482957827728981 * c40967(2252034268......) n=122994: c40972(2300350426......) = 51923705075383713841 * c40952(4430250929......) n=123010: c49191(2023871307......) = 31451764401229691 * c49174(6434841879......) n=123032: c48626(7355250573......) = 13974029301981113 * c48610(5263514491......) n=123040: c49153(1000000000......) = 80125976504629752001 * c49133(1248034711......) n=123042: c41013(1098901098......) = 1469117213830196006468173 * c40988(7480009685......) n=123046: c44161(1099999889......) = 15273922224208649 * c44144(7201816755......) # P-1 B1=1e6 # 139536 of 200000 Phi_n(10) factorizations were cracked. -- Oct 11, 2017 (Makoto Kamada) -- n=122742: c40888(5504844899......) = 2679467085043237 * c40873(2054455130......) n=122750: c48992(2885809241......) = 783577198067824001 * c48974(3682865259......) n=122784: c40897(1000000000......) = 19073103174759927483649 * c40874(5242985322......) n=122856: c40931(2021349457......) = 432126750044579257 * c40913(4677677226......) # P-1 B1=1e6 # 139530 of 200000 Phi_n(10) factorizations were cracked. -- Oct 10, 2017 (Makoto Kamada) -- n=122530: c48993(3169071236......) = 178735457421721 * c48979(1773051235......) n=122532: c40841(1009998990......) = 106644417696088501 * c40823(9470715972......) n=122560: c48890(5099540480......) = 1190682013277589780481 * c48869(4282873532......) n=122676: c40877(4474129792......) = 65775893340416458861 * c40857(6802081378......) n=122710: c42048(9091000909......) = 247621766264531 * c42034(3671325443......) n=122718: c40304(8559973449......) = 224943508613750837058722427886772743 * c40269(3805388073......) # P-1 B1=1e6 # 139529 of 200000 Phi_n(10) factorizations were cracked. # ----------------8<----------------8<----------------8<---------------- # Largest known factors that appear after the previous one # 1 n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017) # 2 n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009) # 3 n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013) # 4 n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016) # 5 n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017) # 6 n=2820M: 832530561417330269513686172453574642103980456844602894975421 (Eric_ch / Aug 23, 2016) # 7 n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010) # 8 n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011) # 9 n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010) # 10 n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015) # 11 n=122718: 224943508613750837058722427886772743 (Makoto Kamada / Oct 10, 2017) # 12 n=199700M: 16745944922383579468094190800250901 (Serge Batalov / Jul 6, 2015) # 13 n=199900L: 612937240365283738637341628923301 (Serge Batalov / Jul 6, 2015) # 14 n=199940L: 37392384580207183395063521 (Serge Batalov / Jul 6, 2015) # 15 n=199996: 599236237566764612695261 (Serge Batalov / Jul 7, 2015) # 16 n=199999: 35434773177895836763 (Serge Batalov / Jul 6, 2015) # 17 n=200000: 572400001 (Makoto Kamada / Apr 1, 2015) # ----------------8<----------------8<----------------8<---------------- -- Oct 9, 2017 (Makoto Kamada) -- n=122316: c40769(1009998990......) = 2140977397679521 * 365294588629711249 * 1632567440204216069042569 * c40711(7910327922......) n=122332: c49145(2248205673......) = 30536969603803945229487541121 * c49116(7362242236......) n=122350: c48921(1000009999......) = 286335232056272057722404001 * c48894(3492444827......) n=122358: c40785(1098901098......) = 10108594055212063 * c40769(1087095883......) n=122448: c40801(1000000009......) = 45937705556641 * c40787(2176861029......) # P-1 B1=1e6 # 139527 of 200000 Phi_n(10) factorizations were cracked. -- Oct 8, 2017 (Alfred Reich) -- n=19282: c9273(7266767139......) = 117975510347325929 * c9256(6159555587......) # ECM B1=7000, sigma=0:5857906520146739680 n=19484: c9733(3758579989......) = 324152816713800881 * c9716(1159508662......) # ECM B1=5000, sigma=0:2646411913529365100 n=20130: c4769(2320742725......) = 259589083758126244321 * c4748(8940062854......) # ECM B1=20000, sigma=0:17810824843565129684 n=20150: c7193(8799165057......) = 1735947748208317277401 * c7172(5068796031......) # ECM B1=20000, sigma=0:8417880123953992229 n=20162: c9459(9622968311......) = 3538008964958846890819 * c9438(2719882399......) # ECM B1=20000, sigma=0:14168027730389725539 n=20170: c8041(9771670407......) = 89986570136377042102531 * x8019(1085903195......) # ECM B1=20000, sigma=0:8002754507922683265 n=20170: x8019(1085903195......) = 98524129396198222703681 * c7996(1102169795......) # ECM B1=20000, sigma=0:13722442154185015676 n=20252: c9818(2337927007......) = 12295589182414223305349 * c9796(1901435525......) # ECM B1=20000, sigma=0:10021957081722928874 n=20274: c6425(7108978290......) = 105111973311564520921 * c6405(6763243108......) # ECM B1=20000, sigma=0:4274125401328539594 -- Oct 8, 2017 (Makoto Kamada) -- n=122080: c41453(5928314206......) = 101718362256001 * c41439(5828165215......) n=122088: c40681(6023258655......) = 693979116976716217 * c40663(8679308221......) n=122090: c47033(5956916638......) = 605026276770161 * c47018(9845715577......) n=122118: c40678(4618738805......) = 108958973522509101853 * c40658(4238970555......) n=122154: c40691(6760810884......) = 11737677103902581140609 * c40669(5759922363......) n=122170: c46212(3491225856......) = 123533404315585291 * c46195(2826139112......) n=122172: c40721(1009998990......) = 11732624309521 * c40707(8608466131......) n=122184: c40687(9691821611......) = 357854715617761 * c40673(2708311834......) n=122276: c47520(9900990099......) = 283257514343719301 * c47503(3495402450......) # P-1 B1=1e6 # 139523 of 200000 Phi_n(10) factorizations were cracked. -- Oct 7, 2017 (Makoto Kamada) -- n=121840: c48705(1000000009......) = 1358394878274092161 * c48686(7361629714......) n=121850: c48721(1000009999......) = 1575483615766922280851 * c48699(6347320847......) n=121870: c41750(9591242469......) = 1543759969196761 * c41735(6212910466......) n=121872: c40602(3567533624......) = 64097163809880913 * c40585(5565821345......) n=121910: c47802(9321416084......) = 15223315867038760441058041 * c47777(6123118094......) n=121962: c40653(1098901098......) = 252591613828725103 * c40635(4350505079......) n=121986: c40490(4863724674......) = 2708621525922409 * c40475(1795645728......) n=121998: c40665(1098901098......) = 6126522863979246293767 * c40643(1793678279......) n=122028: c40667(8276712830......) = 215093786131729 * c40653(3847955340......) n=122030: c48809(1099989000......) = 412191788260331 * c48794(2668633950......) n=122038: c49887(1850698197......) = 106238313230449 * c49873(1742025208......) # P-1 B1=1e6 # 139521 of 200000 Phi_n(10) factorizations were cracked. -- Oct 6, 2017 (Makoto Kamada) -- n=121662: c40501(1000000000......) = 537279912753264091 * c40483(1861227223......) n=121670: c46527(8190620255......) = 248324840218891 * c46513(3298349149......) n=121688: c49920(9999000099......) = 2540212296970937 * c49905(3936285212......) n=121692: c40541(2964022803......) = 4223377560562021 * 1270277982623003401 * c40507(5524880153......) n=121750: c48595(2737843291......) = 3080765576406251 * c48579(8886892635......) n=121790: c46080(9091000000......) = 33734459085845171 * c46064(2694870540......) n=121814: c47016(8797460151......) = 129945440177143906854538821800287 * c46984(6770118397......) # P-1 B1=1e6 # 139516 of 200000 Phi_n(10) factorizations were cracked. -- Oct 5, 2017 (Makoto Kamada) -- n=121394: c44338(6061262109......) = 32565101962830529 * c44322(1861275335......) n=121400: c48458(5697901671......) = 20353064519321201 * c48442(2799530098......) n=121494: c40497(1098901098......) = 805284743080546303 * c40479(1364611844......) n=121554: c40467(5151803726......) = 488259723310680058939 * c40447(1055135920......) n=121600: c46081(1000000000......) = 145733678886401 * c46066(6861831854......) # P-1 B1=1e6 # 139513 of 200000 Phi_n(10) factorizations were cracked. -- Oct 4, 2017 (Makoto Kamada) -- n=121160: c44544(9999000099......) = 1420253154215198606161 * c44523(7040294239......) n=121188: c40387(8334081393......) = 47070366961648195261 * c40368(1770557981......) n=121270: c47505(4435544529......) = 26154145215514321 * c47489(1695924104......) n=121284: c40385(1908590391......) = 10630936166581 * c40372(1795317328......) n=121314: c40417(2701114015......) = 11134244655379 * c40404(2425951735......) n=121330: c44080(9091000000......) = 268298158460971 * c44066(3388394483......) n=121386: c40455(4526455161......) = 57967886727721 * c40441(7808556455......) # P-1 B1=1e6 # 139511 of 200000 Phi_n(10) factorizations were cracked. -- Oct 3, 2017 (Makoto Kamada) -- n=120966: c40313(1835228231......) = 117206528905911959053 * c40293(1565807168......) n=120988: c49718(1022458116......) = 3999788501067829 * c49702(2556280453......) n=121040: c45046(8978581524......) = 1352551203461921 * 117919572021677281 * c45014(5629477930......) n=121070: c48397(2216289953......) = 164761470768058489121 * c48377(1345150624......) n=121090: c48433(1099989000......) = 262288539762271000441 * c48412(4193812665......) # P-1 B1=1e6 # 139509 of 200000 Phi_n(10) factorizations were cracked. -- Oct 2, 2017 (Makoto Kamada) -- n=120770: c44544(9091000000......) = 248892271802726891 * c44527(3652584282......) n=120790: c47095(5810905870......) = 540917975893171 * c47081(1074267473......) n=120800: c48001(1000000000......) = 4996467222504001 * c47985(2001414110......) n=120830: c47040(9091000000......) = 1742326544393521 * c47025(5217736037......) n=120848: c47232(9999999900......) = 226670318014316177 * c47215(4411693594......) n=120904: c48371(2647460704......) = 5817692037755977 * c48355(4550706168......) n=120924: c40297(1000000999......) = 3674986690472480629261 * c40275(2721101011......) n=120936: c40305(1000099999......) = 126977629986001 * c40290(7876190476......) # P-1 B1=1e6 # 139508 of 200000 Phi_n(10) factorizations were cracked. -- Oct 1, 2017 (Alfred Reich) -- n=16122: c5368(1704013240......) = 51439215892406134477 * c5348(3312673436......) # ECM B1=30000, sigma=1:3473119747 n=16868: c8405(9857249708......) = 1661945775639265421 * c8387(5931150012......) # ECM B1=6000, sigma=1:2150918139 n=16936: c8046(2332203874......) = 1750644584000801353 * c8028(1332197235......) # ECM B1=49000, sigma=1:3660122063 n=16962: c5106(1171655958......) = 2799943264819613895049 * c5084(4184570355......) # ECM B1=40000, sigma=1:78608913 n=17028: c5036(5872329555......) = 12112750237214376873802801 * c5011(4848056337......) # ECM B1=21000, sigma=1:1568447378 n=17086: c8513(5684038638......) = 85303577225083213649 * c8493(6663306303......) # ECM B1=50000, sigma=1:3603274423 n=17186: c7900(1124696156......) = 24415412859491394447331 * c7877(4606500669......) # ECM B1=50000, sigma=1:3627592131 n=17244: c5716(5071622106......) = 7300562493879663301 * c5697(6946892257......) # ECM B1=17000, sigma=1:4207117139 n=17366: c8182(4139111275......) = 202025064384481925339 * c8162(2048810769......) # ECM B1=21000, sigma=1:3030483166 n=17444: c7368(1519154419......) = 74708019063808277029 * c7348(2033455629......) # ECM B1=17000, sigma=1:679392840 n=17496: c5828(5715265474......) = 1051023425196672793 * c5810(5437809792......) # ECM B1=49000, sigma=1:475484565 n=17684: c8818(5176672118......) = 7742344109147905069 * c8799(6686181917......) # ECM B1=40000, sigma=1:830577220 n=17906: c7663(7678935908......) = 444598249760821545397 * c7643(1727162874......) # ECM B1=40000, sigma=1:3112145166 n=17998: c8988(1091225864......) = 1472752656099746556646921 * c8963(7409430630......) # ECM B1=30000, sigma=1:3718882775 -- Oct 1, 2017 (Makoto Kamada) -- n=120534: c40177(1098901098......) = 3024997424767835314018314367 * c40149(3632733998......) n=120560: c43503(2758721089......) = 34863067117652128961 * c43483(7913018897......) n=120606: c40195(9111420555......) = 3592570354920691 * c40180(2536184306......) n=120636: c40177(1000000000......) = 158742608545270791829 * c40156(6299505905......) n=120732: c40228(1098520651......) = 240820857889226269 * 1751532662534088692845021 * c40186(2604329234......) # P-1 B1=1e6 # 139502 of 200000 Phi_n(10) factorizations were cracked.