-- Sep 30, 2021 (Kurt Beschorner) --

n=262901: x262901(1111111111......) = 170442763746975721 * x262883(6518969105......)
n=262909: x262896(4187550699......) = 718743767790293369 * x262878(5826208013......)
n=263023: x263012(1177687228......) = 96609298079530283 * x262995(1219020583......)
n=263267: x263235(5742388011......) = 4275127429787038387 * x263217(1343208619......)
n=263273: x263266(1004851392......) = 115615698838996121 * x263248(8691305786......)
n=263491: x263491(1111111111......) = 137784085615951003 * x263473(8064146930......)
n=263591: x263591(1111111111......) = 189165903860274947 * x263573(5873738810......)
n=264029: x264029(1111111111......) = 12176997096050828009 * x264009(9124672547......)
n=264071: x264062(2361179912......) = 13014827146259212003 * x264043(1814223028......)
n=264167: x264153(3764955236......) = 7520351785430128163 * x264134(5006355213......)
n=264169: x264169(1111111111......) = 390940513330122293 * x264151(2842148800......)
n=264169: x264151(2842148800......) = 1742522548445577401 * x264133(1631054245......)
n=264353: x264337(3911551030......) = 166446091036058959 * x264320(2350040788......)
n=264437: x264414(4488531356......) = 470728911924073477 * x264396(9535278676......)
n=264527: x264527(1111111111......) = 153371096807703839 * x264509(7244592587......)
n=264577: x264566(2609923428......) = 531137092421756453 * x264548(4913841390......)
n=264601: x264601(1111111111......) = 133028950330443877 * x264583(8352400799......)
n=264601: x264583(8352400799......) = 6789270060317116627 * x264565(1230235463......)
# gr-mfaktc
# 206800 of 300000 Phi_n(10) factorizations were cracked.
# 19834 of 25997 R_prime factorizations were cracked.

-- Sep 25, 2021 (Kurt Beschorner) --

n=260467: x260467(1111111111......) = 14669305149661043053 * x260447(7574394968......)
n=260549: x260549(1111111111......) = 90716828518731049 * x260532(1224812561......)
n=260573: x260573(1111111111......) = 579018005163918889 * x260555(1918957789......)
n=260647: x260636(4245997151......) = 653185308062163133 * x260618(6500448033......)
n=260717: x260701(3910965966......) = 308461534091793157 * x260684(1267894221......)
n=260791: x260775(7017875079......) = 85117970029703357 * x260758(8244880695......)
n=260807: x260791(1373692904......) = 4734748105716354631 * x260772(2901300922......)
n=261059: x261047(2190103640......) = 2059606927777270609 * x261029(1063360008......)
n=261061: x261061(1111111111......) = 286142140993767601 * x261043(3883074010......)
n=261223: x261206(5428104361......) = 183081674446280747 * x261189(2964854007......)
n=261271: x261249(1102097073......) = 8992682341945904999 * x261230(1225548764......)
n=261301: x261272(2715519666......) = 111093120622404413 * x261255(2444363477......)
n=261427: x261413(3473845193......) = 193770947831013649 * x261396(1792758528......)
n=261881: x261863(1062567509......) = 12275154902743119707 * x261843(8656245221......)
n=261973: x261964(8763056100......) = 758819301768866027 * x261947(1154827780......)
n=262103: x262092(2413939402......) = 440003148415726067 * x262074(5486186657......)
n=262153: x262131(9822981412......) = 3122762036115442477 * x262113(3145606773......)
n=262231: x262205(6578321143......) = 413584068560324813 * x262188(1590564444......)
n=262271: x262251(8727373400......) = 687397699819906879 * x262234(1269625051......)
n=262313: x262306(7059698433......) = 1144671893153998529 * x262288(6167442806......)
n=262519: x262503(5979618376......) = 153650199563912477 * x262486(3891708825......)
n=262543: x262505(9963688173......) = 2442294214225695083 * x262487(4079642868......)
n=262597: x262565(2540453185......) = 103337180753265203 * x262548(2458411548......)
n=262697: x262668(2601269433......) = 291885846247882961 * x262650(8911940976......)
n=262739: x262726(9928053974......) = 5027886529861221083 * x262708(1974597858......)
# gr-mfaktc
# 206793 of 300000 Phi_n(10) factorizations were cracked.
# 19827 of 25997 R_prime factorizations were cracked.

-- Sep 17, 2021 (Kurt Beschorner) --

n=259381: x259373(6490458380......) = 494024863675173253 * x259356(1313791846......)
n=259723: x259706(1791508851......) = 3272885495691024637 * x259687(5473790188......)
n=259771: x259760(5321180814......) = 89352416850784249 * x259743(5955273513......)
n=259771: x259743(5955273513......) = 839529925709815799 * x259725(7093580980......)
n=259993: x259985(2484662347......) = 131620477273397773 * x259968(1887747559......)
n=260009: x259988(7891380307......) = 1146329613983650963 * x259970(6884041214......)
n=260089: x260070(2405856699......) = 122592744113216159 * x260053(1962478870......)
n=260089: x260053(1962478870......) = 1574156194848974479 * x260035(1246686241......)
n=260171: x260163(1736055041......) = 143069085845338889 * x260146(1213438271......)
n=260191: x260179(2034089356......) = 72953020984139519 * x260162(2788218129......)
n=260207: x260207(1111111111......) = 820437793632238907 * x260189(1354290501......)
n=260231: x260188(2911171921......) = 5562622050583748197 * x260169(5233452669......)
n=260339: x260299(5219689186......) = 1810171592554714199 * x260281(2883532814......)
n=260339: x260281(2883532814......) = 5928441234117631561 * x260262(4863897102......)
# gr-mfaktc
# 206789 of 300000 Phi_n(10) factorizations were cracked.
# 19823 of 25997 R_prime factorizations were cracked.

-- Sep 13, 2021 (Kurt Beschorner) --

n=12827: c12596(1169393084......) = 3420651094647875222135349699809 * c12565(3418627192......)
# ECM B1=25e4, sigma=5949084999255270
n=257093: x257087(2160908601......) = 11973496655447136289 * x257068(1804743145......)
n=257123: x257085(9814508671......) = 14059056411438657439 * x257066(6980915635......)
n=257287: x257287(1111111111......) = 748742445842445653 * x257269(1483969711......)
n=257443: x257443(1111111111......) = 9003159472438875517 * x257424(1234134655......)
n=257539: x257523(3575437153......) = 1840003021485910121 * x257505(1943169175......)
n=257947: x257936(1235201184......) = 424084740267833641 * x257918(2912628225......)
n=257987: x257987(1111111111......) = 350259166300276921 * x257969(3172254199......)
n=257989: x257977(3980649387......) = 334059181561951117 * x257960(1191600054......)
n=258101: x258086(2093286047......) = 6954651446027779453 * x258067(3009907920......)
n=258233: x258221(1730974809......) = 177060872911324951 * x258203(9776156535......)
n=258389: x258389(1111111111......) = 11225260356704408437 * x258369(9898310380......)
n=258443: x258443(1111111111......) = 126702734955020467 * x258425(8769432731......)
n=258527: x258518(9067200907......) = 455311860875765969 * x258501(1991426467......)
n=258613: x258613(1111111111......) = 241247720440584373 * x258595(4605685430......)
n=258631: x258631(1111111111......) = 455218532296841917 * x258613(2440830133......)
n=258637: x258637(1111111111......) = 1098464318277175711 * x258619(1011513157......)
n=258659: x258659(1111111111......) = 6521376996805713569 * x258640(1703798310......)
n=258673: x258673(1111111111......) = 3588404696309874929 * x258654(3096392980......)
n=258707: x258707(1111111111......) = 79516796516923049 * x258690(1397328815......)
n=258743: x258743(1111111111......) = 13908197957590415357 * x258723(7988893417......)
n=258967: x258967(1111111111......) = 318740834096327959 * x258949(3485939020......)
# gr-mfaktc
# 206788 of 300000 Phi_n(10) factorizations were cracked.
# 19822 of 25997 R_prime factorizations were cracked.

-- Sep 7, 2021 (Kurt Beschorner) --

n=15003: c9976(3090461925......) = 294138061502033730180620742121 * x9947(1050684127......)
# ECM B1=1e6, sigma=0:4611263169165355
n=15003: x9947(1050684127......) = 49962356033970990727412679251053 * c9915(2102951523......)
# ECM B1=1e6, sigma=0:1140076183079191
n=254003: x253991(5872941205......) = 4777919549849014271 * x253973(1229183778......)
n=254213: x254196(1153981946......) = 12765653634137948723 * x254176(9039740381......)
n=254281: x254269(6869174192......) = 7032550483060196201 * x254250(9767685576......)
n=254299: x254285(7900498090......) = 944782408445112271 * x254267(8362240892......)
n=254729: x254729(1111111111......) = 1004585176794113129 * x254711(1106039723......)
n=254731: x254731(1111111111......) = 14113142319537487679 * x254711(7872882494......)
n=254929: x254905(2534979736......) = 4397847576766510963 * x254886(5764137323......)
n=254959: x254959(1111111111......) = 879685502983347707 * x254941(1263077665......)
n=255023: x254995(5565569970......) = 14478789253991221813 * x254976(3843947081......)
n=255121: x255100(5231653505......) = 77009483786854601 * x255083(6793518471......)
n=255137: x255129(4443835283......) = 1031224378159265999 * x255111(4309280674......)
n=255361: x255338(7535495696......) = 1046626335364903009 * x255320(7199795611......)
n=255457: x255441(8101564701......) = 867765208348748561 * x255423(9336125282......)
n=255571: x255571(1111111111......) = 2512074677974695077 * x255552(4423081530......)
n=255653: x255638(1418199247......) = 1066058928743713403 * x255620(1330319749......)
n=255679: x255668(4956801386......) = 3671780424863095973 * x255650(1349972169......)
n=255961: x255951(1871417094......) = 464829679233471997 * x255933(4026027549......)
n=255961: x255933(4026027549......) = 977011258024640147 * x255915(4120758605......)
n=255989: x255989(1111111111......) = 189063032938510799 * x255971(5876934765......)
n=256211: x256211(1111111111......) = 825424188373735001 * x256193(1346109220......)
n=256279: x256256(2751267791......) = 748075210390519751 * x256238(3677795699......)
n=256349: x256328(2085918818......) = 153204910458341957 * x256311(1361522168......)
n=256369: x256369(1111111111......) = 12459921043862680627 * x256349(8917481155......)
n=256391: x256391(1111111111......) = 80355055110328991 * x256374(1382751974......)
n=256493: x256493(1111111111......) = 1217866743965514427 * x256474(9123421068......)
n=256567: x256567(1111111111......) = 258626770727066267 * x256549(4296195277......)
n=256589: x256589(1111111111......) = 212949088688771893 * x256571(5217731233......)
n=256589: x256571(5217731233......) = 9204677904045811951 * x256552(5668564709......)
n=256643: x256628(7028898189......) = 16828307097845004677 * x256609(4176830235......)
n=256771: x256755(1308265050......) = 367164345302148637 * x256737(3563159297......)
n=256877: x256877(1111111111......) = 7753969678914857999 * x256858(1432957771......)
n=256967: x256967(1111111111......) = 3200250217795107787 * x256948(3471950739......)
# gr-mfaktc
# 206775 of 300000 Phi_n(10) factorizations were cracked.
# 19809 of 25997 R_prime factorizations were cracked.

-- Sep 1, 2021 (Kurt Beschorner) --

n=253229: x253229(1111111111......) = 110787135947992597 * x253212(1002924303......)
n=253247: x253238(1202043865......) = 1382964275588158369 * x253219(8691792596......)
n=253367: x253335(3175095859......) = 1130372410351006871 * x253317(2808893627......)
n=253381: x253373(4136924198......) = 1526355646880706533 * x253355(2710327836......)
n=253447: x253447(1111111111......) = 86383496659889311 * x253430(1286253918......)
n=253607: x253607(1111111111......) = 662552958646755881 * x253589(1677014790......)
n=253637: x253637(1111111111......) = 1470238546086099871 * x253618(7557352608......)
n=253751: x253727(3560174892......) = 332836669304084041 * x253710(1069646232......)
n=253811: x253801(4238681857......) = 233042119074213157 * x253784(1818847972......)
n=253909: x253901(1886215907......) = 988958808683274911 * x253883(1907274490......)
n=253949: x253940(4850700316......) = 498065550677811031 * x253922(9739080147......)
# gr-mfaktc
# 206762 of 300000 Phi_n(10) factorizations were cracked.
# 19796 of 25997 R_prime factorizations were cracked.