-- Dec 16, 2023 (FredOnCyc) --

# via factordb.com
n=20100L: p2592(1083136676......) is proven prime

-- Oct 16, 2023 (FredOnCyc) --

# via factordb.com
n=34386: p10355(1384394274......) is proven prime

-- Dec 29, 2023 (Kurt Beschorner) --

n=5218: c2553(7735919447......) = 1549339884595838182802063495302219 * c2520(4993042214......)
# ECM B1=3e6, sigma=397965861566570
n=13067: c12801(5863408648......) = 381885318948041718125341213 * c12775(1535384671......)
# P-1 B1=30e6

-- Dec 16, 2023 (FredOnCyc) --

# via factordb.com
n=11452: p4825(1826911946......) is proven prime

-- Dec 24, 2023 (Kurt Beschorner) --

n=995: c742(1287748068......) = 4496923550405592963004409447842948530549521 * c699(2863620103......)
# ECM B1=11e7, sigma=0:5671941614311594
n=8007: c4945(6960721553......) = 74443633132160172610790541671227 * c4913(9350324883......)
# ECM B1=1e6, sigma=0:6028324384104991
n=8037: c4956(3285864457......) = 38508757046525878223205656060816329 * c4921(8532772048......)
# ECM B1=1e6, sigma=0:3759056719098403
n=8883: c4945(1048488078......) = 12310848646124592471308612180728921 * c4910(8516781486......)
# ECM B1=1e6, sigma=0:3494728591877324
n=11326: c4816(2623979721......) = 40934864723372094733948186127 * c4787(6410134098......)
# ECM B1=1e6, sigma=5146009827622450
n=11452: c4853(1365221381......) = 7472836251387998526237506669 * p4825(1826911946......)
# ECM B1=1e6, sigma=1977351273509168
n=13023: c8632(1666685187......) = 230223522995046177583541761 * c8605(7239421782......)
# P-1 B1=54e6

-- Dec 24, 2023 (Alfred Eichhorn) --

# via Kurt Beschorner
n=77543: c77543(1111111111......) = 77297845932591945905323363 * c77517(1437441234......)

-- Dec 21, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=18184: c9088(9999000099......) = 2999683797882171117794957593 * c9061(3333351370......)
n=18404: c8886(1336660518......) = 28939901929607431090928021 * c8860(4618745846......)
n=18572: c9284(9900990099......) = 1395833760418327547808581 * c9260(7093244467......)
n=19254: c6417(1098901098......) = 8012907944831068727941411 * c6392(1371413607......)
n=33320: c10741(8521281565......) = 4427186909972179259838401 * c10717(1924762098......)
# 212611 of 300000 Phi_n(10) factorizations were cracked.

-- Dec 20, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=3011: c2983(8088420955......) = 8942391479719801452292494613336089209 * c2946(9045031157......)
n=14455: c9745(1000000100......) = 489319115826935587481 * c9724(2043656312......)
n=14661: c9720(9999999999......) = 2165330367619921 * c9705(4618232926......)
n=14795: c10721(1111099999......) = 4048097292935081 * c10705(2744746283......)
n=14853: c9889(7846872673......) = 511549491340399609 * c9872(1533942034......)
n=15221: c14700(9000000000......) = 113644547512332978607643 * c14677(7919429657......)
n=15699: c10464(9009009009......) = 10624829026502227 * c10448(8479203746......)
n=16695: c7450(4285343456......) = 755227848837566643841 * c7429(5674239189......)
n=16701: c10502(2562619952......) = 1227568110509881227264391 * c10478(2087558263......)
n=16737: c9534(3599257338......) = 168553822144677480521683 * c9511(2135375687......)
n=16747: c16724(6820974254......) = 74070322256744898297308507 * c16698(9208781664......)
n=16841: c15287(5757004180......) = 620455417003224993360171431 * c15260(9278675022......)
n=16849: c13737(3824319505......) = 24739034223678109074881 * c13715(1545864511......)
n=17243: c16795(4349570117......) = 814444883421117551614082147 * c16768(5340533418......)
n=17245: c13740(1352078284......) = 155693450841751574639034031 * c13713(8684233521......)
n=17311: c14816(1000826291......) = 14999480628769610993923 * c14793(6672406308......)
n=17375: c13785(8537402549......) = 739314538130107951001 * c13765(1154772712......)
n=20071: c20059(2244494930......) = 74547860758815373271 * c20039(3010810649......)
n=20131: c19600(9000000000......) = 47582407370784897455643173 * c19575(1891455371......)
n=20797: c17799(6744636269......) = 1786576375704401 * x17784(3775173768......)
n=20797: x17784(3775173768......) = 545083931830093828949827 * c17760(6925857740......)
n=21245: c14545(1111099888......) = 449449693573017271 * c14527(2472134044......)
n=21655: c16775(1994488265......) = 78322892986293521 * c16758(2546494632......)
n=21855: c11018(9547386590......) = 1250215154727214321 * c11000(7636594833......)
n=22197: c12593(2707400019......) = 236105297414411041 * c12576(1146691772......)
n=28343: c24288(9000000900......) = 17154421679728688611733 * c24266(5246461272......)
n=28683: c19083(5947191197......) = 128269750956599848571083 * c19060(4636472085......)
n=22813: c19539(4778487649......) = 48889525947960512557 * c19519(9774051920......)
n=28701: c19097(4717390282......) = 26190257570986323889 * c19078(1801200415......)
n=28707: c16382(3066464553......) = 37968841700959424053 * c16362(8076265738......)
n=28715: c22942(7210011230......) = 7164324052002846998561 * c22921(1006377039......)
n=28739: c27720(9000000000......) = 3307617341965244677 * c27702(2720991901......)
n=28741: c27995(1043803806......) = 213281116559381933 * c27977(4894028235......)
n=28771: c28743(4449602618......) = 6839335443984322559791591 * c28718(6505899082......)
n=28773: c18176(2244993284......) = 1432473151044421351 * c18158(1567214913......)
n=28787: c26152(5245656391......) = 17452463683720934618443 * c26130(3005682456......)
n=28793: c28780(2117920427......) = 107729921768353339709278728271 * c28751(1965953741......)
n=28827: c19192(6377483972......) = 8965801237961719 * c19176(7113122188......)
n=28851: c18770(3455683325......) = 562907856025988923 * c18752(6138985783......)
n=28857: c19231(1734412922......) = 781696861139188693 * c19213(2218779437......)
n=28863: c19224(9999999990......) = 72626191769479286825479 * c19202(1376913720......)
n=28889: c24756(9000000900......) = 1836020337675150820850399 * c24732(4901906975......)
n=28893: c19251(7694732224......) = 1119609406628084929 * c19233(6872693440......)
n=28917: c15553(1000000000......) = 5016781796997460267 * c15534(1993309736......)
n=28969: c28384(3425598437......) = 29971869223020582290473283 * c28359(1142937870......)
n=28973: c24824(1553143544......) = 30035356299547571519 * c24804(5171050842......)
n=28983: c19313(7064492588......) = 2485184297947357 * c19298(2842643338......)
n=33509: c28699(1528383517......) = 183241489617927721 * c28681(8340815831......)
n=33545: c26820(4937141496......) = 341666355771684992831 * c26800(1445018338......)
n=33731: c33264(9000000000......) = 179483876541541877 * c33247(5014377989......)
n=34021: c31370(1368197930......) = 85102612807734679 * c31353(1607703789......)
n=34229: c31567(9690996870......) = 15425102807783813 * c31551(6282614120......)
n=34323: c21495(3233530348......) = 4316303364408121 * c21479(7491434394......)
n=34335: c15537(1511095883......) = 476691729296970601 * c15519(3169964551......)
n=34493: c32448(9000000000......) = 181725387787542851677 * c32428(4952527607......)
n=34601: c29648(1300521783......) = 109590398634678361 * c29631(1186711427......)
n=34701: c22484(2640503238......) = 3699717585157714957 * c22465(7137039997......)
n=35711: c31674(1296415415......) = 3547134933742597523 * c31655(3654824074......)
n=34727: c26394(1999724437......) = 848750426478622794281 * c26373(2356080628......)
n=35785: c26881(1111099999......) = 308525947202492927694481 * c26857(3601317847......)
n=35967: c22663(1146375661......) = 104786371002391933 * c22646(1094012179......)
n=35981: c32672(2468498543......) = 10913297684973476959 * c32653(2261918087......)
n=36407: c31143(1202498745......) = 187764261619621287222203 * c31119(6404300453......)
n=36501: c23268(1166702565......) = 63530141741093471083 * c23248(1836455159......)
n=36599: c36583(1418733025......) = 22908933029439221923559 * c36560(6192924932......)
n=36651: c23080(5356688229......) = 12313462832515609 * c23064(4350269540......)
n=36993: c20880(9009009009......) = 360367423259726573068159 * c20857(2499951002......)
n=37259: c33667(1096724118......) = 36120871319278778707 * c33647(3036261526......)
n=37275: c16789(1249487752......) = 4738831762857111151 * c16770(2636699960......)
n=38051: c35099(2972933070......) = 4998132147851203729889 * c35077(5948088169......)
n=38191: c37791(8882684336......) = 1006862581086363643 * c37773(8822141673......)
n=50023: c50001(2670986560......) = 4764590035602476593642900627 * c49973(5605910562......)
n=50033: c50017(7526789927......) = 111396848810420973131254970077 * c49988(6756735049......)
n=50053: c50015(2232251505......) = 3332542117417047121 * c49996(6698344467......)
n=50107: c49437(3136261147......) = 739274547390854471267 * c49416(4242349690......)
n=50161: c49566(1121388987......) = 1185818574457825928808524849 * c49538(9456665728......)
n=50165: c39306(1318387260......) = 58757029733533021144561 * c39283(2243794940......)
n=50167: c43393(1111111111......) = 1921667933049467681969827 * c43368(5782014113......)
n=50169: c28657(1109999889......) = 122233627565365351561 * x28636(9080969869......)
n=50169: x28636(9080969869......) = 15545788938471163 * c28620(5841433912......)
n=50179: c47196(9999999999......) = 80836423819964062258281685561 * c47168(1237066105......)
n=50217: c31672(3008174780......) = 103752473896238200564849 * c31649(2899376436......)
n=50237: c45643(4832729390......) = 25065431837599561 * c45627(1928045533......)
n=50257: c48483(1492273585......) = 6847939337800443973 * c48464(2179157133......)
n=50263: c50234(1755546521......) = 27710492289574389441479 * c50211(6335313365......)
n=50281: c39093(1089467714......) = 5687482637315709077 * c39074(1915553478......)
n=50293: c47609(1983558737......) = 13374240956667438361 * c47590(1483118738......)
n=50303: c42881(1111111111......) = 8830608239134503692333 * c42859(1258249806......)
n=50335: c40264(9000090000......) = 41169581415000435413231 * c40242(2186101896......)
n=50337: c26496(9990000009......) = 1067956299378797599 * c26478(9354315355......)
n=50343: c33001(7398184133......) = 26573360388347783822173 * c32979(2784060436......)
n=50347: c43547(3703720691......) = 193887384394507 * x43533(1910243259......)
n=50347: x43533(1910243259......) = 2343977597107436159 * c43514(8149579849......)
n=50371: c47379(1509683786......) = 33601903199020899719 * c47359(4492852020......)
n=50373: c32223(4816804214......) = 14948265618296083 * c32207(3222316446......)
n=50375: c36001(1000000000......) = 325115776091070342079001 * c35977(3075827362......)
n=50379: c28750(8078870020......) = 25227746700749692564921 * c28728(3202374796......)
n=50395: c40293(9259922065......) = 42682697894075536841 * c40274(2169479091......)
n=50403: c32818(1052565570......) = 391075333227921472639 * c32797(2691464995......)
n=50419: c49888(7997497032......) = 26245281971114892371338151 * c49863(3047213225......)
n=50435: c31190(3417259843......) = 6298901266834986348001 * c31168(5425168134......)
n=50475: c26862(4818080558......) = 82090457132654401801 * c26842(5869233436......)
n=50483: c47808(9000000000......) = 331006874283646178073271 * c47785(2718976764......)
n=50499: c32339(1122993387......) = 1244334600058275757 * x32320(9024850609......)
n=50499: x32320(9024850609......) = 300677443743864513961 * c32300(3001505698......)
n=50507: c47509(6869148152......) = 5945467046556194551 * c47491(1155358880......)
n=50515: c40408(9000090000......) = 8292732448341241 * c40393(1085298489......)
n=50555: c40428(2551732992......) = 255982417916670432644911 * c40404(9968391631......)
n=85011: c55258(1396860204......) = 153007511300335462119871 * x55234(9129357063......)
n=85011: x55234(9129357063......) = 232709170133079769 * c55217(3923075768......)
n=85019: c75385(6823431665......) = 17443094606296892413 * c75366(3911824031......)
n=85025: c64055(2429430208......) = 592924356031373845340342801 * c64028(4097369561......)
n=86013: c54217(1001000999......) = 172382128070013257348413 * c54193(5806872273......)
n=86021: c79242(3875021264......) = 8465041416832770625883 * c79220(4577675493......)
n=86039: c85042(1078493359......) = 1397010786205026634801 * c85020(7720007391......)
n=86045: c68785(9231629216......) = 305298208311139013081 * c68765(3023807204......)
n=86059: c83915(2614477816......) = 4421540972306530329354356847209 * c83884(5913046678......)
n=86089: c77604(1937458098......) = 1350585733253581613 * c77586(1434531737......)
n=86107: c73778(5256752356......) = 146769172059705119 * c73761(3581646120......)
n=86115: c45921(1109988900......) = 189424363720506914761 * c45900(5859800071......)
n=86117: c86103(1194170272......) = 24450460650450892157 * c86083(4884039978......)
n=86131: c86124(2687550655......) = 97633641121672399 * c86107(2752689159......)
n=86135: c55935(5019889277......) = 182340085122473951 * c55918(2753036598......)
n=86139: c53941(1902622911......) = 2991253508299621633267 * c53919(6360620743......)
n=86147: c85548(8421678360......) = 384727887232145364679 * c85528(2188996077......)
n=86153: c85180(3574234984......) = 107367251262944032757 * c85160(3328980617......)
n=86155: c68904(1849336698......) = 2191331972732928983471 * c68882(8439326953......)
n=86165: c65233(1111099999......) = 234488903705217978332231 * c65209(4738390526......)
n=86169: c57444(9009009009......) = 3297589613093688138769 * c57423(2731998236......)
n=86185: c62641(1111099999......) = 3763308972446878471 * c62622(2952454895......)
n=86195: c68931(5938668839......) = 16219892223096883241 * c68912(3661349137......)
n=86199: c56362(2046418266......) = 590830280529735004723 * c56341(3463631323......)
n=86227: c81972(9999999999......) = 13258604500360151 * c81956(7542271888......)
n=86231: c84507(1366721918......) = 507285038495597027 * c84489(2694189291......)
n=86247: c47944(2589237641......) = 9054217173992034056797 * c47922(2859703486......)
n=86253: c57500(9009009009......) = 1187505818229219241 * c57482(7586496731......)
n=86285: c69016(4011790069......) = 4587258038248431751 * c68997(8745507744......)
n=86289: c49216(4409803569......) = 10416210115559681959 * c49197(4233596980......)
n=86295: c41760(9009099100......) = 47413425370219222711 * c41741(1900115638......)
n=86303: c73968(9000000900......) = 181535303215366285151 * c73948(4957713866......)
n=86315: c67645(4074151943......) = 1162916266135643614121 * c67624(3503392343......)
n=86325: c45990(2204272511......) = 172042522615287001 * c45973(1281237032......)
n=86343: c54135(2806309411......) = 124892184654067 * c54121(2246985605......)
n=86375: c68954(3785227755......) = 23375289651796005751 * c68935(1619328706......)
n=86383: c78494(5920170335......) = 4647596429612159 * c78479(1273813341......)
n=86397: c55655(2822796168......) = 5728786701675522613 * c55636(4927389192......)
n=86431: c81864(9000000000......) = 26538521786213413 * c81848(3391296648......)
n=86433: c56305(1109999999......) = 163740043475175485443 * c56284(6779038141......)
n=86449: c75579(4017388522......) = 231210066482152769881 * c75559(1737549140......)
n=86457: c46972(1974742560......) = 55622873351688133 * c46955(3550234717......)
n=86465: c69154(1567490338......) = 233640559961800241 * c69136(6708982117......)
n=86469: c51831(8000900939......) = 101317896121856707 * c51814(7896828936......)
n=86475: c46068(2621612049......) = 58267305374978790001 * c46048(4499284860......)
n=86477: c86460(8190071366......) = 18353810898330538895090137009 * c86432(4462327421......)
n=86487: c56944(2835682448......) = 420803923639304819764723 * c56920(6738726256......)
n=86493: c52381(5370388340......) = 12103887572821705849 * c52362(4436911949......)
n=86505: c44918(9888662403......) = 249422228370063391 * c44901(3964627558......)
n=86513: c69697(1111110999......) = 247295867808603618187 * c69676(4493043130......)
n=86525: c69193(1012017309......) = 4817268828673482853594201 * c69168(2100811363......)
n=86527: c72295(1072803037......) = 31215381315929231 * c72278(3436776973......)
n=86541: c45504(9009009909......) = 182200466272378202923 * c45484(4944559195......)
n=86559: c50390(6165914441......) = 2041431607993578439 * c50372(3020387465......)
n=86567: c79887(8489769256......) = 16435080963410897214672471773 * c79859(5165638840......)
n=86575: c69229(2042473435......) = 183562088733647891695034351 * c69203(1112688055......)
n=86583: c45360(9999999000......) = 232936458164286131557 * c45340(4293015820......)
n=86595: c43985(1592484875......) = 2203950449780923853178942391 * c43957(7225592915......)
n=86597: c72865(1111110999......) = 17361190988249081 * c72848(6399969914......)
n=86603: c78711(5746654326......) = 98169724723437049 * c78694(5853794887......)
n=86605: c69266(8142524249......) = 95168863923738791 * c69249(8555869970......)
n=86611: c74215(1263043927......) = 1781967587073920947 * c74196(7087917515......)
n=86617: c84223(2080202661......) = 106929326599631 * c84209(1945399571......)
n=86619: c53254(1576334605......) = 9012265857305568081362893 * c53229(1749099094......)
n=86623: c82824(9999999999......) = 125153542435533997081 * c82804(7990185339......)
n=86637: c57717(3632019639......) = 144736502030089 * c57703(2509401283......)
n=86649: c54337(1109999999......) = 1531470091074997 * c54321(7247937824......)
n=86653: c74239(6034373226......) = 72959338813451614333517 * c74216(8270871590......)
n=86669: c78770(1744363557......) = 13308375982048941751 * c78751(1310726086......)
n=86683: c81542(2278834932......) = 195974795808605317093 * c81522(1162820414......)
n=86687: c82874(2335483296......) = 125635351177897163249 * c82854(1858938009......)
n=86689: c86646(3343690641......) = 169953555311266216783520239 * c86620(1967414353......)
n=86691: c50380(1722599968......) = 10807655421701887849 * c50361(1593870179......)
n=86697: c50530(9220560394......) = 6236817986961731262709747 * c50506(1478407805......)
n=86699: c86012(6226632072......) = 1344173781299256740402292911 * c85985(4632311802......)
n=86709: c49537(1109999889......) = 516877046864047895551 * c49516(2147512441......)
n=86711: c86685(3341867301......) = 552883191657835460802457111 * c86658(6044436422......)
n=86715: c44149(1068554667......) = 238310515915927498157853191311 * c44119(4483875431......)
n=86723: c68537(1414148284......) = 11941360995299191 * c68521(1184243810......)
n=86725: c69346(8519015681......) = 25757429267543894403001 * c69324(3307401368......)
n=86727: c57800(6494635938......) = 1429615650652541083 * c57782(4542924481......)
n=86729: c86703(1168767565......) = 7192827878409029829881 * c86681(1624906900......)
n=86737: c74320(2778652347......) = 1166211644179052479 * c74302(2382631284......)
n=86745: c46251(1599497522......) = 445670432786861074231 * c46230(3588969347......)
n=86763: c57817(6664655898......) = 11485301536223961871 * c57798(5802769633......)
n=86773: c82178(9310326450......) = 176912840509964999837 * c82158(5262662915......)
n=86793: c49585(1109999889......) = 8276903445085129 * c49569(1341081113......)
n=86795: c69418(1668395873......) = 11391215673425588821882441 * c69393(1464633733......)
n=86799: c57828(1086162733......) = 216031593685511055601 * c57807(5027795774......)
n=86819: c81675(5420089479......) = 772716325079153060871883 * c81651(7014332819......)
n=86845: c63103(1282804053......) = 42140157888831985511 * c63083(3044136798......)
n=86847: c57896(9009009009......) = 2397685651276009 * c57881(3757377037......)
n=86849: c70417(1111110999......) = 3329918641774774298201 * c70395(3336751192......)
n=86855: c66962(9698024465......) = 1533409900143431911 * c66944(6324482751......)
n=86859: c57861(5808491635......) = 186941224833839187834547 * c57838(3107121845......)
n=86867: c76931(1023181448......) = 761837163085846717 * c76913(1343044811......)
n=86871: c55353(1109999999......) = 282482466391164199 * c55335(3929447424......)
n=86873: c85968(9000000000......) = 20069473248628003 * c85952(4484422629......)
n=86883: c57907(3069586622......) = 2254833001167136544883409 * c57883(1361336569......)
n=86887: c77185(1111111111......) = 5612431570273603 * c77169(1979732130......)
n=86901: c57059(1161197197......) = 307276354484316460203013 * c57035(3778999525......)
n=86921: c81758(6922834147......) = 41952504985766397447386879 * c81733(1650159900......)
n=86927: c86927(1111111111......) = 452888882130921479072231 * c86903(2453385708......)
n=86937: c57940(1022802088......) = 20892393354908311 * c57923(4895571661......)
n=86945: c69552(9000090000......) = 60259619432786801 * c69536(1493552412......)
n=86959: c86935(1368189129......) = 325147991607694020209 * c86914(4207896604......)
n=86977: c79045(4251643039......) = 1375303813878391 * c79030(3091420962......)
n=86989: c68500(2506124090......) = 1979272861060373929 * c68482(1266184233......)
# 212608 of 300000 Phi_n(10) factorizations were cracked.

-- Dec 21, 2023 (Makoto Kamada) --

n=180035: c144019(2499532036......) = 480755346393071 * c144004(5199176786......)
n=180044: c80784(9900990099......) = 113295015869141 * c80770(8739122390......)
n=180048: c52800(9999999999......) = 158126329039537 * c52786(6324057518......)
n=180059: c163661(8010656049......) = 317546763707053 * c163647(2522669718......)
n=180067: c172195(1722462154......) = 142965817053671 * c172181(1204806988......)
n=180069: c119030(1661411991......) = 702044624904187 * c119015(2366533312......)
n=180072: c57594(4271793730......) = 348206972017969 * c57580(1226797299......)
n=180093: c119025(1109999999......) = 217961016438391 * c119010(5092653806......)
n=180109: c179104(9000000000......) = 419333907661769 * c179090(2146260971......)
n=180131: c154386(8327266057......) = 600091960539653 * c154372(1387664992......)
n=180169: c163648(2087451369......) = 152437008804763 * x163634(1369386204......)
n=180169: x163634(1369386204......) = 275734565284201 * c163619(4966320429......)
n=180182: c86145(3083302105......) = 741596657618161 * c86130(4157653724......)
n=180187: c154440(9000000900......) = 103864016509639 * c154426(8665177029......)
n=180208: c77185(1000000009......) = 557306866788337 * c77170(1794343600......)
n=60071: c52892(9985984572......) = 885048923202907 * c52878(1128297465......)
n=180226: c89089(1099999999......) = 544080415825183 * c89074(2021759960......)
n=180234: c51835(1851293591......) = 849640100362939 * c51820(2178915038......)
n=180268: c76800(9900990099......) = 143591338990529 * c76786(6895255778......)
n=180271: c142119(8705593976......) = 221595090265277 * c142105(3928604178......)
n=180341: c154572(9000000900......) = 432459838449479 * c154558(2081118314......)
n=180370: c67823(3227559774......) = 851729490187811 * c67808(3789418837......)
n=180396: c60107(4389837034......) = 144540519001381 * c60093(3037097877......)
n=180487: c178600(9000000000......) = 142903020268397 * c178586(6297977455......)
n=180490: c72187(6094425761......) = 408009524310331 * c72173(1493696935......)
n=180534: c60177(1098901098......) = 246029886170773 * c60162(4466535005......)
n=180567: c120372(9990000009......) = 856133499614311 * c120358(1166874093......)
n=180572: c77369(3995240363......) = 155728087151701 * c77355(2565523301......)
n=180582: c60193(1098901098......) = 174141377015143 * c60178(6310396286......)
n=180585: c96289(1001000999......) = 132570643770991 * c96274(7550698793......)
n=180587: c164147(8898483099......) = 123233573947243 * c164133(7220826934......)
n=180603: c120375(1204430213......) = 168741009408241 * c120360(7137744509......)
n=180642: c42211(1573976266......) = 454303608850939 * c42196(3464591159......)
n=180682: c88795(1014673095......) = 569143667313521 * c88780(1782806615......)
n=180766: c83160(9090909090......) = 801296789448889 * c83146(1134524586......)
n=180775: c123829(2713547083......) = 373107728144201 * c123814(7272824651......)
n=180807: c109561(1109999999......) = 146680594356649 * c109546(7567463200......)
n=180831: c101066(5370077832......) = 395041485791401 * c101052(1359370604......)
n=180844: c87241(1443132801......) = 156996094486241 * c87226(9192157337......)
n=180850: c72321(1000009999......) = 170350681814251 * x72306(5870302304......)
n=180850: x72306(5870302304......) = 271580965104451 * c72292(2161529362......)
n=180867: c120556(1867059525......) = 430059091669027 * c120541(4341402289......)
n=180873: c90720(9999999999......) = 871705839307843 * c90706(1147175979......)
n=180889: c177401(1246404179......) = 528743777224547 * c177386(2357293330......)
n=180894: c50106(8678327174......) = 209888726299939 * c50092(4134727637......)
n=180914: c84865(1000000000......) = 139874957519779 * c84850(7149242564......)
n=180917: c164460(9000000000......) = 924417270977443 * c164445(9735863102......)
n=180920: c72353(1000099999......) = 670778015032001 * c72338(1490955245......)
n=180927: c120587(6623322583......) = 821030607937279 * c120572(8067083637......)
n=180966: c60297(1653773030......) = 136888028316607 * c60283(1208121010......)
n=180974: c88241(1099999999......) = 238340125371223 * c88226(4615253089......)
n=180981: c120636(9999999990......) = 263373107358763 * c120622(3796894865......)
# 212557 of 300000 Phi_n(10) factorizations were cracked.

-- Dec 20, 2023 (Makoto Kamada) --

n=181025: c133429(9798525868......) = 192111174834151 * c133415(5100445550......)
n=181026: c59105(1826226079......) = 579895750891099 * c59090(3149231695......)
n=90517: c76024(9711363666......) = 608294546402747 * c76010(1596490339......)
n=181064: c83508(9515547511......) = 624166218087361 * c83494(1524521391......)
n=181068: c59280(9901000000......) = 807596045159941 * c59266(1225984210......)
n=181085: c144854(7530441505......) = 115600009391161 * c144840(6514222226......)
n=181086: c60346(1919626982......) = 135689361425131 * c60332(1414721804......)
n=181082: c82301(1099999999......) = 962141728639543 * c82286(1143282706......)
n=181091: c177186(1380521183......) = 506095584514831 * c177171(2727787449......)
n=181092: c60353(8082999442......) = 429368517011569 * c60339(1882531932......)
n=181107: c120732(9990000009......) = 665194926889387 * c120718(1501815423......)
n=181114: c89752(9416314266......) = 311412616635247 * c89738(3023742058......)
n=181182: c60387(6065144626......) = 314979884272597 * c60373(1925565704......)
n=181215: c96608(8677340847......) = 696403903144231 * c96594(1246021282......)
n=181224: c60337(1000000000......) = 262843431159817 * c60322(3804546286......)
n=181257: c116858(4524010317......) = 760716611515561 * c116843(5947037633......)
n=181266: c60411(2611626008......) = 857824081588693 * c60396(3044477374......)
n=181280: c65259(4684331212......) = 297524515812481 * c65245(1574435370......)
n=181298: c79033(6316434156......) = 115786548216197 * c79019(5455240055......)
n=181381: c175500(9000000000......) = 149767388692289 * c175486(6009318903......)
n=181383: c119545(1109999999......) = 229004637956329 * c119530(4847063404......)
n=181447: c148764(9999999999......) = 291096139904333 * c148750(3435291173......)
n=181449: c120952(9525396599......) = 432830199211831 * c120938(2200723659......)
n=181524: c51828(2279820661......) = 270612396823861 * c51813(8424671921......)
n=181527: c121016(9009009009......) = 212511072866359 * c121002(4239312750......)
n=181548: c59027(9915011806......) = 252298023548041 * c59013(3929880887......)
n=181557: c121032(9990000009......) = 763458534128071 * c121018(1308519004......)
n=181631: c169313(1111111111......) = 561201389210719 * c169298(1979879473......)
n=60550: c20625(2222840312......) = 224965469367451 * c20610(9880806678......)
n=181657: c155693(9174800109......) = 109473959406827 * c155679(8380805955......)
n=181675: c131034(3440207981......) = 147635646753401 * c131020(2330201449......)
n=181683: c121057(2075272730......) = 352220884195483 * c121042(5891963888......)
n=181709: c165180(9000000000......) = 106664191121533 * c165166(8437695824......)
n=181727: c143701(5831489475......) = 316209966225427 * c143687(1844182694......)
n=181773: c114683(1364654385......) = 153124935722587 * c114668(8912032379......)
n=181786: c82610(2715274660......) = 164457523137931 * c82596(1651049224......)
n=181795: c143603(4475848263......) = 432064252055951 * c143589(1035921912......)
n=181797: c94300(2761286903......) = 512793188632957 * c94285(5384796376......)
n=181803: c121186(2472496404......) = 360711735145843 * c121171(6854493943......)
n=181811: c147510(1991503958......) = 506421822093307 * c147495(3932500282......)
n=181845: c96759(5558104777......) = 252894667734991 * c96745(2197794373......)
n=181841: c161995(3055163730......) = 698125536487831 * c161980(4376238328......)
n=181895: c124705(1111099888......) = 357158651438471 * c124690(3110942110......)
n=181921: c180144(9000000000......) = 878075419735879 * c180130(1024968903......)
n=181926: c60574(1934933672......) = 363144057893677 * c60559(5328281244......)
n=181932: c60623(5659713910......) = 119250325638109 * c60609(4746078369......)
n=181930: c59131(6046187236......) = 356424231449371 * c59117(1696345731......)
n=181991: c180432(9000000000......) = 111308191788557 * c180418(8085658256......)
# 212534 of 300000 Phi_n(10) factorizations were cracked.

-- Dec 19, 2023 (Makoto Kamada) --

n=182006: c82721(1099999999......) = 197136230672371 * c82706(5579897699......)
n=182044: c89601(1009999999......) = 171294006888721 * c89586(5896295021......)
n=182052: c55872(9999990000......) = 105660910868761 * c55858(9464228462......)
n=182062: c84672(9090909090......) = 238655808480077 * c84658(3809213422......)
n=182090: c71754(2496292356......) = 342754005772961 * c71739(7283043565......)
n=182098: c78031(6040669580......) = 106281735337891 * c78017(5683638455......)
n=182108: c89222(8649521095......) = 263870685032261 * c89208(3277939379......)
n=182138: c77754(9982429925......) = 149909449704499 * c77740(6658973096......)
n=91080: c21100(7525353991......) = 864893845466641 * c21085(8700898996......)
n=182199: c121464(9009009009......) = 277790047884121 * c121450(3243099987......)
n=182226: c54985(2385364653......) = 466007400248743 * c54970(5118726981......)
n=182230: c72874(8390176620......) = 488509707623051 * c72860(1717504583......)
n=182234: c81648(9090909090......) = 994779782533213 * c81633(9138614646......)
n=182247: c112117(7194485083......) = 301965097674787 * x112103(2382555182......)
n=182247: x112103(2382555182......) = 688726646662237 * c112088(3459362569......)
n=182314: c82850(2524232410......) = 100395520201637 * c82836(2514287893......)
n=182343: c98481(8660051494......) = 850581132987013 * c98467(1018133504......)
n=182359: c171353(1944570447......) = 567985774887827 * c171338(3423625261......)
n=182397: c120529(1109999999......) = 416508805087159 * c120514(2665009686......)
n=182401: c181204(9000000000......) = 126663907449511 * c181190(7105417937......)
n=182419: c172800(9000000000......) = 939689383126723 * c172785(9577632951......)
n=91210: c31248(9091000909......) = 768780332216681 * c31234(1182522565......)
n=182439: c116923(2740634569......) = 533565083502883 * c116908(5136457864......)
n=182466: c58298(1026230096......) = 821104207771933 * c58283(1249817120......)
n=182468: c73911(5277239288......) = 487844609171921 * c73897(1081745947......)
n=182472: c60811(5480810859......) = 607689764746777 * c60796(9019093586......)
n=182544: c60833(1000000009......) = 711115587920641 * c60818(1406241161......)
n=45639: c27586(1184893592......) = 517945331249677 * c27571(2287680804......)
n=182584: c88009(2494189061......) = 439299183449177 * c87994(5677654672......)
n=182614: c83200(9090909090......) = 185243770708099 * c83186(4907538351......)
n=182616: c52123(5475393911......) = 271064495859193 * c52109(2019959823......)
n=182646: c59603(1550681693......) = 363093708725263 * c59588(4270747899......)
n=182666: c75235(1094893308......) = 403183173732527 * c75220(2715622524......)
n=182674: c90564(7325470388......) = 225874335687757 * c90550(3243161896......)
n=182679: c104377(1109999889......) = 117920542562929 * c104362(9413117213......)
n=182680: c73057(1000099999......) = 184973789999041 * c73042(5406711945......)
n=182739: c121819(2464986773......) = 130162007399521 * c121805(1893783618......)
n=182791: c156672(9000000900......) = 288970381634929 * c156658(3114506354......)
n=182801: c172032(9000000000......) = 147652141078243 * c172018(6095407715......)
n=182811: c121854(8340721448......) = 430620391819237 * c121840(1936908146......)
n=182830: c71385(1479874592......) = 234060407248891 * c71370(6322618208......)
n=182833: c156699(7066502175......) = 250622962253231 * c156685(2819574915......)
n=182836: c89201(2862215577......) = 132974857518421 * c89187(2152448689......)
n=182870: c73108(1699068457......) = 149818550199041 * c73094(1134084167......)
n=182877: c119221(1740038177......) = 255960704257471 * c119206(6798067629......)
n=182885: c144134(7033669740......) = 188374876678151 * c144120(3733868265......)
n=182890: c73142(7755821060......) = 521602696257641 * c73128(1486921198......)
n=182895: c95729(2095462565......) = 143957835270121 * c95715(1455608555......)
n=91461: c59453(6090848808......) = 722723692273729 * c59438(8427631297......)
n=182961: c117581(1002510301......) = 142106432962933 * c117566(7054644046......)
n=182988: c50681(1239193791......) = 112979370598849 * c50667(1096831912......)

-- Dec 15, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=100135: c68624(3909087097......) = 3837462737953265401 * c68606(1018664509......)
n=100173: c66773(1469518005......) = 2969954606258713681 * c66754(4947947697......)
n=100231: c99217(1762802623......) = 2914352098217302241 * c99198(6048694749......)
n=100375: c71992(1512699678......) = 4607776309587001 * c71976(3282927766......)
n=100381: c97625(2504424552......) = 19584474697037077 * c97609(1278780560......)
n=100461: c66972(9009009009......) = 1543588566527893 * c66957(5836405635......)
n=100533: c60683(4516764585......) = 784155971193235573 * c60665(5760033401......)
n=100625: c65992(2029797422......) = 6187747093963751 * c65976(3280349683......)
n=100723: c86328(9000000900......) = 3056471727756902850809 * c86307(2944571944......)
n=100789: c93024(9000000000......) = 3418673430568813 * c93009(2632600095......)
n=100841: c93047(4507818571......) = 4362243266618329 * c93032(1033371661......)
n=100867: c93096(9000000000......) = 711526897239954563 * c93079(1264885422......)
n=100897: c100089(3998545556......) = 5888604761294197 * c100073(6790310639......)
n=100951: c100138(1189715590......) = 2554364607905813 * c100122(4657579369......)
n=100955: c79195(5502919603......) = 2734123743480191 * c79180(2012681253......)
n=100997: c87518(1652200150......) = 26555827334882705627 * c87498(6221610534......)
n=101013: c61188(2266347139......) = 129274221741124132399 * c61168(1753131528......)
n=101029: c97717(2323524630......) = 250532745483017969 * c97699(9274335081......)
n=101093: c98689(7338650920......) = 27700938064778930383483 * c98667(2649242745......)
n=101125: c80800(9999999999......) = 42666204444819001 * c80784(2343775390......)
n=101227: c86760(9000000900......) = 4090612959903653 * c86745(2200159484......)
n=101245: c80992(9000090000......) = 36188574289273287631 * c80973(2486997671......)
n=101301: c67519(2505445227......) = 321148260456397088922397 * c67495(7801522026......)
n=101345: c81066(2960214133......) = 4162330127811881 * c81050(7111915784......)
n=101367: c57868(9671445569......) = 41464815440580476533 * c57849(2332446308......)
n=101491: c90715(1824643378......) = 1594258423248401 * c90700(1144509165......)
n=101565: c51825(1927123926......) = 149868027410913543576511 * c51802(1285880624......)
n=101589: c67707(1725652336......) = 3143999213920929601 * x67688(5488717453......)
n=101589: x67688(5488717453......) = 7614368404345783519 * c67669(7208368655......)
n=101601: c65521(1000000001......) = 107321559496605501670875997 * c65494(9317792302......)
n=101667: c67776(9009009009......) = 3143777989348357 * c67761(2865663236......)
n=101735: c81384(9000090000......) = 20297398668389475551 * c81365(4434110078......)
n=101825: c81404(2143266780......) = 431825008439158751 * c81386(4963276186......)
n=101867: c94232(1733101436......) = 872157355506442751 * c94214(1987143060......)
n=101885: c67200(9000090900......) = 784674572749197742081 * c67180(1146983885......)
n=102175: c79201(1000010000......) = 293665357109039401 * c79183(3405270577......)
n=102201: c58294(6216959655......) = 814695681588870973 * c58276(7631020755......)
n=102277: c82931(3235686605......) = 3122977068292333547 * c82913(1036090414......)
n=102289: c87332(1601297242......) = 126748336203333307 * c87315(1263367465......)
n=102465: c47490(1341902447......) = 207107572459396099591 * c47469(6479253420......)
n=102467: c97056(9000000000......) = 7555451327561831 * c97041(1191192902......)
n=102545: c82032(9000090000......) = 370801842837453241 * c82015(2427196675......)
n=102635: c75745(1111099999......) = 61200245310873761 * c75728(1815515598......)
n=102649: c98164(9000000000......) = 81260329743351875293 * c98145(1107551498......)
n=102651: c68427(1462722295......) = 3492264482228879683 * c68408(4188463683......)
n=102699: c68441(2795253358......) = 182263241323164871 * c68424(1533635272......)
n=102721: c101829(1925049178......) = 179744652469762055464837 * c101806(1070991070......)
n=102995: c82381(5302637642......) = 183835357989580481 * c82364(2884449270......)
n=103085: c80705(1111099999......) = 932431536648643481 * c80687(1191615637......)
n=103151: c95020(2824600709......) = 4809941921451319 * c95004(5872421654......)
n=103191: c60314(8730412806......) = 16546105617914242129 * c60295(5276415494......)
n=103345: c75112(2334209022......) = 297885870585907561 * c75094(7835917219......)
n=103351: c102589(1897872066......) = 2146699373067199 * c102573(8840884246......)
n=103355: c70849(1111099888......) = 86198034626410591921 * c70829(1289008379......)
n=103379: c97920(9000000000......) = 498834504820599733 * c97903(1804205585......)
n=103387: c103345(4309011996......) = 1054001812218495236881 * c103324(4088239647......)
n=103501: c96433(1111111111......) = 29708713591543717 * c96416(3740017579......)
n=103587: c60447(1525022724......) = 115419307547119692733 * c60427(1321289095......)
n=103731: c68021(7543876348......) = 15441661173635077 * c68005(4885404661......)
n=103805: c76594(8446686159......) = 502694679147531001 * c76577(1680281592......)
n=103897: c102820(9000000000......) = 1421959882999511 * c102805(6329292483......)
n=103911: c65572(1419260788......) = 38661929840986726979587 * c65549(3670951746......)
n=103941: c69283(1201401275......) = 3971322750844219159 * c69264(3025191732......)
n=104039: c93601(1111111111......) = 1328134429968347 * c93585(8365953671......)
n=104045: c83225(2922361331......) = 457092448405210351 * c83207(6393370404......)
n=104083: c89208(9000000900......) = 8686106162973577157 * c89190(1036137566......)
n=104179: c104179(1111111111......) = 21279779120623334648147 * c104156(5221440997......)
n=104403: c64210(1151636042......) = 214812463280593047481 * c64189(5361123022......)
n=104405: c67392(9000090900......) = 180759156912895961 * c67375(4979051161......)
n=104557: c99036(9000000000......) = 5967681434215597951 * c99018(1508123397......)
n=104585: c77185(1111099999......) = 827602746591653761 * c77167(1342552335......)
n=104825: c71761(1000010000......) = 95568321451822801 * c71744(1046382300......)
n=104863: c95300(2758778173......) = 81923175399022583671 * c95280(3367518605......)
n=104939: c103771(6739439691......) = 33030670517942404991 * c103752(2040358123......)
n=105025: c83992(8396337914......) = 1832894758101088601 * c83974(4580916540......)
n=105183: c60480(9990000009......) = 248810634564639031 * c60463(4015101696......)
n=105343: c88787(1816505660......) = 10052122403340284569 * c88768(1807086690......)
n=105493: c98401(1111111111......) = 2133823579526959 * c98385(5207136718......)
n=105535: c84424(9000090000......) = 3212309889596111 * c84409(2801750238......)
n=105551: c103697(1393248962......) = 18630699774014234689 * c103677(7478242790......)
n=105591: c69121(1109999999......) = 4231208739438799 * c69105(2623363838......)
n=105697: c100109(1206077294......) = 1397106568159665373 * c100090(8632679298......)
n=105709: c102799(5895896473......) = 1279312203357107 * c102784(4608645535......)
n=105857: c102951(4296127216......) = 18376121591761450163 * c102932(2337885714......)
n=105899: c105886(1390819268......) = 47251222530599615917 * c105866(2943456685......)
n=105913: c105904(3590277421......) = 11607188817757815495119 * c105882(3093149838......)
n=106025: c84795(1178954045......) = 1699293051524681401 * c84776(6937908938......)
n=106063: c99542(2684581786......) = 32452825705922197 * c99525(8272258972......)
n=106085: c72563(1630201942......) = 62847272094664961 * c72546(2593910424......)
n=106191: c64153(1000000000......) = 157822803094190797 * c64135(6336219990......)
n=106211: c91025(2139823037......) = 3099924361660351 * c91009(6902823383......)
n=106333: c105267(2060004801......) = 1487230996431253 * c105252(1385127667......)
n=106351: c91152(9000000900......) = 488114500109675111 * c91135(1843829859......)
n=106389: c70913(8694507142......) = 1892357809243043203 * c70895(4594536561......)
n=106481: c105792(9000000000......) = 1683789986941862587 * c105774(5345084642......)
n=106489: c105099(9433907689......) = 3071056904705205037 * c105081(3071876550......)
n=106587: c65521(1001000999......) = 1523734470635599 * c65505(6569392629......)
n=106675: c79994(2231990306......) = 32019890393185001 * c79977(6970636935......)
n=106741: c105943(3152480449......) = 91231303979441359 * c105926(3455481081......)
n=106777: c91180(1130066102......) = 15443104098436169 * c91163(7317609826......)
n=106885: c85480(7874021962......) = 117266248077130038751 * c85460(6714653271......)
n=106919: c103431(6409004978......) = 47955034386944813 * c103415(1336461345......)
n=106929: c70617(1269123841......) = 830601200888179957 * c70599(1527958110......)
n=107013: c71331(4837726560......) = 2880076611770053 * c71316(1679721484......)
n=107049: c67137(1109999999......) = 1142136377959279 * c67121(9718629240......)
n=107177: c89990(3430372416......) = 33266524060889323 * c89974(1031178493......)
n=107181: c71448(9990000009......) = 1706060406505249 * c71433(5855595717......)
n=107341: c94486(2491197726......) = 160176806097297289 * c94469(1555279935......)
n=107397: c71578(2057443475......) = 5488065931492369 * c71562(3748940885......)
n=107489: c105156(9000000000......) = 48495106832112403 * c105140(1855857340......)
n=107567: c106896(9000000000......) = 36511360633631124083 * c106877(2464986197......)
n=107751: c61478(1033041318......) = 5009980645619083 * c61462(2061966684......)
n=107777: c107762(5055206625......) = 110439144397154542933 * c107742(4577368516......)
n=107803: c106112(9964202532......) = 1085853943084507 * c106097(9176374590......)
n=107823: c71056(9427334686......) = 5163493115786359 * c71041(1825766874......)
n=107859: c71137(1109999999......) = 21226233829029319 * c71120(5229377990......)
n=107963: c106842(1894588067......) = 472353529203679718401 * c106821(4010953554......)
n=107975: c73901(3397868548......) = 2568555393447751 * c73886(1322871430......)
n=108017: c85366(5372647851......) = 7306008478860001 * c85350(7353738866......)
n=108039: c72011(1168007360......) = 328549190415243037 * c71993(3555045621......)
n=108047: c106896(9000000000......) = 822493223707650311 * c106879(1094233939......)
n=108133: c106540(9000000000......) = 12387032989905877 * c106524(7265662412......)
n=108177: c71233(1109999999......) = 171099894013390366477 * c71212(6487438267......)
n=108303: c66611(4359759968......) = 140821880761709083 * c66594(3095939313......)
n=108437: c92884(1549676839......) = 5613735491012573 * c92868(2760509186......)
n=108453: c72281(9910065910......) = 16620626507489927551 * c72262(5962510442......)
n=108467: c106987(9582647133......) = 3806681380770523 * c106972(2517323141......)
n=108523: c106154(2005104151......) = 312745257752929889 * c106136(6411301535......)
n=108527: c105840(9000000000......) = 1814075573993069477 * c105822(4961204554......)
n=108577: c93060(9000000900......) = 1025437956573694427 * c93042(8776738604......)
n=108579: c68097(1109999999......) = 1892548991278357 * c68081(5865105765......)
n=108801: c56136(2278908979......) = 28294660608248803231 * c56116(8054201501......)
n=108891: c69985(1000000001......) = 61861143034857043 * c69968(1616523639......)
n=108937: c106234(2065413480......) = 314951847893125362543271 * c106210(6557870654......)
n=108965: c77760(9000090000......) = 1222688699234680511 * c77742(7360900617......)
n=108981: c72648(9990000009......) = 173078160296374287503893 * c72625(5771958745......)
n=108983: c93384(4024541713......) = 5769932437797431 * x93368(6975023983......)
n=108983: x93368(6975023983......) = 15298274105696359 * c93352(4559353516......)
n=109219: c99280(9000000000......) = 1500767402131867453 * c99262(5996931961......)
n=109245: c58238(2874421658......) = 404857376204925961 * c58220(7099837689......)
n=109281: c71713(1109999999......) = 1007210230511227 * c71698(1102053937......)
n=109317: c67249(1109999999......) = 815072972953274965755853 * c67225(1361841254......)
n=109361: c88111(2881895758......) = 21363620525646068867 * c88092(1348973482......)
n=109419: c72944(9009009009......) = 11808968710122043 * c72928(7628954932......)
n=109505: c79201(1000000000......) = 1698128483203793521 * c79182(5888835914......)
n=109529: c93862(1131088135......) = 10295720312597147 * c93846(1098600292......)
n=109615: c79681(1111099999......) = 150272834900921921 * c79663(7393884601......)
n=109627: c93947(8132329482......) = 2586140491753253 * c93932(3144581475......)
n=109649: c99793(1111111111......) = 471992327325974353387 * c99772(2354087231......)
n=109669: c93970(1409037629......) = 3128160982523249 * c93954(4504364186......)
n=109825: c83601(1000010000......) = 1066778190409801 * c83585(9374113654......)
n=109887: c73217(2389622271......) = 21934471123273243 * c73201(1089436922......)
n=110259: c73500(9990000009......) = 1811836946567467 * c73485(5513741194......)
n=110289: c72577(1109999999......) = 4041490592752573 * c72561(2746511403......)
n=110405: c86790(4596711277......) = 72872965020101921 * c86773(6307841703......)
n=110525: c88384(8769731794......) = 30599902441931401 * c88368(2865934560......)
n=110549: c109828(4448735639......) = 10359600801809323 * x109812(4294311841......)
n=110549: x109812(4294311841......) = 1464794141204058293 * c109794(2931682835......)
n=110559: c72888(3311308764......) = 15791777855837569 * c72872(2096856221......)
n=110593: c90701(1492006833......) = 1315182280298923 * c90686(1134448704......)
n=110733: c63238(4653927488......) = 20564201445896599 * c63222(2263120939......)
n=110739: c73805(3154429921......) = 53618918350318231 * c73788(5883054000......)
n=110757: c73828(3714169512......) = 61702090848726378079 * c73808(6019519697......)
n=110763: c71273(1302207898......) = 94121726153898529 * c71256(1383535929......)
n=110797: c109590(2895082158......) = 1180023707856124441 * c109572(2453410163......)
n=110915: c76020(9408042371......) = 1976092414032241 * c76005(4760932385......)
n=110925: c53734(1357680458......) = 2104133922586351 * c53718(6452443183......)
n=110959: c101723(4626933868......) = 4400759212849398494947 * c101702(1051394462......)
n=110965: c88749(1521619730......) = 2147054012123681 * c88733(7087011885......)
n=110981: c102432(9000000000......) = 863466738106791677 * c102415(1042309981......)
n=110999: c93575(6257148695......) = 172004495876274228077 * c93555(3637782061......)
n=111019: c109296(9000000000......) = 3165798633813492307 * c109278(2842884542......)
n=111171: c74106(1620747746......) = 730461908429774893 * c74088(2218798445......)
n=111197: c100801(1111111111......) = 56063990159297441 * c100784(1981862346......)
n=111421: c109692(9000000000......) = 19873787465690675761 * c109673(4528578166......)
n=111525: c59426(4159318958......) = 16382075180553151 * c59410(2538945104......)
n=111545: c76457(2766944733......) = 74962693130499511 * c76440(3691095688......)
n=111683: c92386(1916572797......) = 8770432091919499947089 * c92364(2185266105......)
n=112079: c97234(3098012343......) = 4094728195251761 * c97218(7565855889......)
n=112143: c72085(2687328344......) = 1243331950087483 * c72070(2161392494......)
n=112235: c89777(1927636768......) = 60453500620453631 * c89760(3188627206......)
n=112373: c111180(9000000000......) = 14767663648782907 * c111164(6094396658......)
n=112377: c73213(6247208724......) = 23189783849693722837 * c73194(2693948665......)
n=112411: c103746(2223981089......) = 40357361682456391 * c103729(5510719721......)
n=112455: c48355(5439929796......) = 14164153316926831 * c48339(3840631822......)
n=112533: c75020(9009009009......) = 48645513597081391 * c75004(1851971197......)
n=112829: c106170(1286559923......) = 25509858732142434707 * c106150(5043383174......)
n=112857: c75236(9009009009......) = 530854488744679279 * c75219(1697076920......)
n=112863: c70777(4030709942......) = 109287729669619213 * c70760(3688163305......)
n=112897: c102145(1111111111......) = 5208119049888191 * c102129(2133421107......)
n=113055: c60283(1227265128......) = 3897684646917151 * c60267(3148702985......)
n=113057: c93569(1165844566......) = 18272816353970327129 * c93549(6380212791......)
n=113323: c97123(1985470964......) = 290927000667873641 * c97105(6824636283......)
n=113519: c97284(3573271836......) = 4153695722375809 * c97268(8602632631......)
n=113533: c97020(9999999999......) = 1640256169423187 * c97005(6096608680......)
n=113633: c104875(3960099794......) = 39178941015154279 * c104859(1010772545......)
n=113681: c112151(3736103653......) = 73461005958611729 * c112134(5085832415......)
n=113767: c109806(7787550817......) = 79609807322522003 * c109789(9782150063......)
n=113939: c95031(1107983478......) = 1421871353169947 * c95015(7792431265......)
n=113961: c75959(1085245125......) = 5940695149229431 * c75943(1826798207......)
n=113973: c75980(9009009009......) = 153086658970467781723 * c75960(5884907979......)
n=114085: c91264(9000090000......) = 1123215780014351 * c91249(8012788068......)
n=114099: c74881(1109999999......) = 2568163970965471 * c74865(4322153930......)
n=114249: c76138(4681735556......) = 1079278665166921 * c76123(4337837583......)
n=114275: c78233(1072415172......) = 8886527645578801 * c78217(1206787639......)
n=114293: c111163(3937231776......) = 3745859640714801161 * c111145(1051088976......)
n=114297: c73659(2972802964......) = 20980452161136067 * c73643(1416939416......)
n=114425: c87115(1456570597......) = 16107717154754801 * c87098(9042687944......)
n=114439: c105607(1549695472......) = 95707240444230533 * c105590(1619204007......)
n=114511: c113832(9000000000......) = 364870659059502227 * c113815(2466627495......)
n=114539: c112030(1360862128......) = 5956528984881037 * c112014(2284656269......)
n=114625: c77990(4087225144......) = 3174716337430751 * c77975(1287430028......)
n=114807: c58778(1727698946......) = 368109918140380125403 * c58757(4693432209......)
n=114813: c76531(4350533695......) = 1166977694731969 * c76516(3728035004......)
n=114867: c76566(1175272134......) = 527812794542940300001 * c76545(2226683677......)
n=115007: c108936(9000000000......) = 653699808940014533 * c108919(1376778741......)
n=20100L: c2623(1046605400......) = 9662726996752755499068773593201 * p2592(1083136676......)
# ----------------8<----------------8<----------------8<----------------
# $ ./pfgw64 -tc -q"((10^1005+1)*((10^2010+10^1005)*(10^1005-10^503+3)-10^503+2)-1)/92324451902583190267331881490478527886039816924248468403613097470611304150802275482188101/((10^335+1)*((10^670+10^335)*(10^335-10^168+3)-10^168+2)-1)"
# PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]
# 
# Primality testing ((10^1005+1)*((10^2010+10^1005)*(10^1005-10^503+3)-10^503+2)-1)/92324451902583190267331881490478527886039816924248468403613097470611304150802275482188101/((10^335+1)*((10^670+10^335)*(10^335-10^168+3)-10^168+2)-1) [N-1/N+1, Brillhart-Lehmer-Selfridge]
# Running N-1 test using base 2
# Running N+1 test using discriminant 11, base 1+sqrt(11)
# 
# Calling N-1 BLS with factored part 0.38% and helper 0.16% (1.34% proof)
# ((10^1005+1)*((10^2010+10^1005)*(10^1005-10^503+3)-10^503+2)-1)/92324451902583190267331881490478527886039816924248468403613097470611304150802275482188101/((10^335+1)*((10^670+10^335)*(10^335-10^168+3)-10^168+2)-1) is Fermat and Lucas PRP! (0.2832s+0.0006s)
# ----------------8<----------------8<----------------8<----------------
n=23132: c11518(4202097222......) = 590929466313489821402869 * c11494(7110996255......)
n=60380L: c12060(4577904944......) = 5489303444931911663517401 * c12035(8339682786......)
n=61260M: c8160(3913542626......) = 20803848204472329730901341 * c8135(1881162844......)
n=61460M: c10491(2767255625......) = 113034432345960488485781 * c10468(2448152804......)
n=62340M: c8284(7774639112......) = 752673643167614497799785541394241 * c8252(1032936277......)
n=62660M: c11502(7113614538......) = 58828730801039608072318544761 * c11474(1209207549......)
n=63020M: c11946(9632854181......) = 3051795672158010000082331741 * c11919(3156454499......)
n=63540L: c8442(1739213906......) = 4100353212798453277070657101 * c8414(4241619723......)
n=63620M: c12708(5590666443......) = 356898400373658530175204427175462741 * c12673(1566458812......)
n=63700M: c10080(9999999999......) = 1499570870116484267020464001 * c10053(6668574456......)
n=67660L: c12652(1315253973......) = 33555270039905405328461 * c12629(3919664397......)
n=70300M: c12960(9900498006......) = 72263010384456334711970501 * c12935(1370064429......)
n=70940L: c14142(3071565121......) = 10809515298855507478951981921671862661 * c14105(2841538252......)
n=83420L: c16102(3234091093......) = 1461027981707744016319382101 * c16075(2213572315......)
n=90700L: c18098(2003993722......) = 85415032842444600391991101 * c18072(2346183869......)
n=92660L: c17904(6878413546......) = 1296044802473948687999681 * c17880(5307234389......)
# 212504 of 300000 Phi_n(10) factorizations were cracked.

-- Dec 14, 2023 (Makoto Kamada) --

n=183003: c121983(1529633580......) = 828932623998643 * c121968(1845305078......)
n=183001: c144721(1111110999......) = 590991729959359 * c144706(1880078761......)
n=183013: c181881(3965873569......) = 726002303238649 * c181866(5462618440......)
n=183017: c182160(9000000000......) = 635857022768431 * c182146(1415412534......)
n=183025: c146393(6208726688......) = 350215413492601 * c146379(1772830791......)
n=183036: c52235(4745438520......) = 304691204668369 * c52221(1557458321......)
n=183043: c154427(7625484544......) = 174045172455043 * c154413(4381324937......)
n=183045: c97617(1109988900......) = 856580468870881 * c97602(1295837274......)
n=183048: c58681(1050481083......) = 291637370459977 * c58666(3602011231......)
n=61022: c28147(3004372727......) = 341614218308299 * c28132(8794636074......)
n=183073: c154841(5484035392......) = 259982357611637 * c154827(2109387514......)
n=183074: c90910(5007080466......) = 226418526827327 * c90896(2211427014......)
n=183075: c97601(1000010000......) = 345850059990751 * c97586(2891455332......)
n=183098: c90365(1099999999......) = 287796568657487 * c90350(3822144249......)
n=183101: c182172(9000000000......) = 361581123274837 * c182158(2489067990......)
n=183105: c89856(9990000009......) = 278879662531081 * c89842(3582190224......)
n=183108: c61013(3656766233......) = 830467594910389 * c60998(4403261796......)
n=183185: c146544(9000090000......) = 259816882168121 * c146530(3464012779......)
n=183192: c57328(3336133873......) = 372568712137441 * c57313(8954412339......)
n=183211: c156983(4056593959......) = 650183578474277 * c156968(6239151670......)
n=183217: c173556(9000000000......) = 698939702616719 * c173542(1287664725......)
n=183221: c179701(2648935209......) = 487017262585639 * c179686(5439099213......)
n=183226: c85934(5461041090......) = 187838942666371 * c85920(2907299739......)
n=183232: c78325(1142611589......) = 840485404428097 * c78310(1359466307......)
n=183246: c52320(5288346590......) = 235384552469179 * x52306(2246683792......)
n=183246: x52306(2246683792......) = 261018978890797 * c52291(8607357986......)
n=183265: c146608(9000090000......) = 205042328269271 * c146594(4389381488......)
n=183267: c104670(8112430252......) = 121214362198987 * c104656(6692631224......)
n=183269: c181740(9000000000......) = 735547110127267 * c181726(1223579003......)
n=183295: c125655(1533161089......) = 301874862843401 * c125640(5078796808......)
n=183302: c78543(3241519487......) = 262182096336637 * c78529(1236361877......)
n=183320: c73300(6476031177......) = 388230999164641 * c73286(1668087090......)
n=91677: c61099(1755999442......) = 706897986783631 * c61084(2484091729......)
n=183376: c89851(5453246644......) = 177854955918097 * c89837(3066120152......)
n=183374: c91069(5552071832......) = 541504968759691 * c91055(1025303949......)
n=183419: c182040(9000000000......) = 614797788064561 * c182026(1463895962......)
n=183443: c166449(9245725562......) = 185654673558667 * c166435(4980066154......)
n=183537: c122346(2267934563......) = 559105765206643 * c122331(4056360539......)
n=183538: c91045(1099999999......) = 199496166951317 * c91030(5513890401......)
n=183564: c61177(1000000999......) = 144098251225741 * c61162(6939716419......)
n=183567: c119437(2348469195......) = 333436536788809 * c119422(7043226929......)
n=183592: c89851(5447375444......) = 121012734310609 * c89837(4501489430......)
n=183603: c104826(1237848629......) = 122472480662827 * c104812(1010715731......)
n=183615: c97921(1109988900......) = 241233476971351 * c97906(4601305398......)
n=183612: c50862(1030697018......) = 733976860604989 * c50847(1404263641......)
n=183647: c180832(5191426078......) = 104658975223289 * x180818(4960325731......)
n=183647: x180818(4960325731......) = 215462330600603 * x180804(2302177702......)
n=183647: x180804(2302177702......) = 358470423881083 * c180789(6422224955......)
n=183665: c145141(2113248663......) = 265344919025521 * c145126(7964157261......)
n=183692: c86934(2509532012......) = 331685777993041 * c86919(7565992209......)
n=183702: c57590(4261665697......) = 432792806442967 * c57575(9846895867......)
n=183742: c82080(9090909090......) = 241951156729699 * c82066(3757332353......)
n=183747: c117118(4626926281......) = 496086721025227 * c117103(9326849693......)
n=183749: c173711(2791678099......) = 791258288956507 * c173696(3528150211......)
n=183754: c90624(4791588120......) = 271293364082329 * c90610(1766201741......)
n=183759: c122465(4592295858......) = 128008325383453 * c122451(3587497801......)
n=183757: c157489(4678697748......) = 683538141221293 * c157474(6844823230......)
n=183768: c51811(2158100537......) = 129325062672937 * c51797(1668741149......)
n=91895: c73497(5042815741......) = 330209192678801 * c73483(1527157890......)
n=183802: c88686(5740129866......) = 334161330131933 * c88672(1717772030......)
n=183817: c179860(9000000000......) = 517824366886907 * c179846(1738041037......)
n=183828: c61273(1009998990......) = 812854277510269 * c61258(1242533893......)
n=183865: c133675(1007169202......) = 655392509966041 * c133660(1536742009......)
n=183889: c166657(1111111111......) = 216203123282917 * c166642(5139200092......)
n=183899: c182645(1075555168......) = 256115931700919 * c182630(4199485603......)
n=183946: c78781(1546806593......) = 256403278929253 * c78766(6032709877......)
n=183945: c98097(1109988900......) = 940344822463201 * c98082(1180406244......)
n=183958: c84456(9090909090......) = 239095696571939 * c84442(3802205234......)
n=183969: c122640(9990000009......) = 388669481327521 * c122626(2570307289......)
n=183987: c122646(9049544225......) = 986945480413363 * c122631(9169244304......)

-- Dec 12, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=60337: c60321(5475644575......) = 5568672008838260813 * c60302(9832945030......)
n=60419: c58440(9000000000......) = 2639148885143589521 * c58422(3410190327......)
n=60437: c55763(3859610752......) = 3286388182528049 * c55748(1174423269......)
n=60511: c54993(2031875475......) = 124616446994291701483 * c54973(1630503456......)
n=60515: c36264(4054966159......) = 139118657789148311 * c36247(2914753652......)
n=60561: c40350(2358896138......) = 1131847019916979352401 * c40329(2084112160......)
n=60667: c55063(2184603956......) = 7025355422879412427 * c55044(3109599195......)
n=60699: c40450(1311237968......) = 278133968442962197 * c40432(4714411460......)
n=75625: c55000(9999999999......) = 542516370778170978751 * c54980(1843262349......)
n=75777: c44339(3978003094......) = 61490101914688201 * c44322(6469338918......)
n=75827: c75218(9718091946......) = 22795183518565425900347 * c75196(4263221631......)
n=75911: c67307(5130621609......) = 93538524605199587 * c67290(5485035851......)
n=100025: c80000(9999900000......) = 152501370425473874211345401 * c79974(6557252549......)
# 212408 of 300000 Phi_n(10) factorizations were cracked.

-- Dec 13, 2023 (Makoto Kamada) --

n=184019: c167244(3529431955......) = 445816631331853 * c167229(7916779473......)
n=184079: c157776(9000000900......) = 297830426975999 * c157762(3021854076......)
n=184091: c174373(2201796460......) = 427832877498119 * c174358(5146393781......)
n=184092: c56659(2892876198......) = 604139523778489 * c56644(4788424005......)
n=92069: c88038(1163723330......) = 389748589420787 * c88023(2985830768......)
n=184165: c147328(9000090000......) = 122196009768751 * c147314(7365289601......)
n=184173: c111588(1594646123......) = 120739466055319 * c111574(1320733125......)
n=92097: c61236(9999999999......) = 160959310012747 * c61222(6212750290......)
n=184201: c182926(1357212839......) = 578835891104089 * c182911(2344728204......)
n=184221: c122790(4523550276......) = 633458115255079 * c122775(7141040848......)
n=184229: c173376(9000000000......) = 687164269901999 * c173362(1309730495......)
n=184243: c174503(2174479291......) = 126360300484403 * c174489(1720856379......)
n=184253: c176182(3729628012......) = 663606799496453 * c176167(5620237791......)
n=184252: c90721(1009999999......) = 594981430666841 * c90706(1697531969......)
n=184261: c143500(3077464212......) = 141878861317117 * c143486(2169078736......)
n=92138: c44026(3092143856......) = 125568281276441 * c44012(2462519853......)
n=184275: c77751(1913360162......) = 363531431062801 * c77736(5263259236......)
n=184296: c52608(9999000100......) = 121276151799433 * c52594(8244819737......)
n=184310: c63155(1713660730......) = 348017697708521 * c63140(4924062028......)
n=184401: c105337(1001000999......) = 186727734937801 * c105322(5360751579......)
n=184404: c55440(9999999999......) = 455392421101069 * c55426(2195908306......)
n=184423: c183511(2138887383......) = 391955583965963 * c183496(5456963674......)
n=184458: c60480(9100000000......) = 375346825658881 * c60466(2424424393......)
n=184482: c59616(9990010000......) = 193929049817677 * c59602(5151373664......)
n=184483: c162625(1111111111......) = 121181180699437 * c162610(9169007140......)
n=92255: c73795(4877806743......) = 948310197775511 * c73780(5143682684......)
n=184522: c82800(9090909090......) = 179946015118663 * c82786(5052020232......)
n=184545: c98316(2128105993......) = 513871423614631 * c98301(4141319979......)
n=184556: c84667(1072951231......) = 369329888290049 * c84652(2905129709......)
n=184572: c61489(1000000000......) = 489437177504689 * c61474(2043163139......)
n=184581: c123038(2786921884......) = 191904444615889 * c123024(1452244574......)
n=92289: c61509(1981075068......) = 733604381854987 * c61494(2700467877......)
n=184591: c165101(2990370364......) = 614414186667227 * c165086(4867026883......)
n=184595: c147667(2437786945......) = 115312405874801 * c147653(2114071705......)
n=184618: c79105(5909659111......) = 104490033239117 * c79091(5655715601......)
n=184617: c120961(1001000999......) = 777147676290361 * c120946(1288044770......)
n=184628: c91187(1645360635......) = 223104955232801 * c91172(7374827843......)
n=184643: c178241(1144195030......) = 387944089106363 * c178226(2949381269......)
n=184654: c86869(1743353888......) = 213736505141623 * c86854(8156556540......)
n=184663: c180680(2533130440......) = 150847102596119 * c180666(1679270199......)
n=184691: c170443(3425835843......) = 442996892319281 * c170428(7733318004......)
n=184702: c77683(4921907061......) = 305339826674219 * c77669(1611944015......)
n=184722: c57920(9100000000......) = 502780845154303 * c57906(1809933709......)
n=184725: c98389(4057427649......) = 231341929084801 * x98375(1753866091......)
n=184725: x98375(1753866091......) = 502481035444951 * c98360(3490412508......)
n=184730: c56440(4916717911......) = 293382401180051 * c56426(1675873498......)
n=184742: c90991(2989081179......) = 174078100216117 * c90977(1717092026......)
n=184755: c96768(9009099100......) = 236138717694721 * c96754(3815172364......)
n=184769: c167041(1111111111......) = 116151127311493 * x167026(9566081163......)
n=184769: x167026(9566081163......) = 438053817379049 * c167012(2183768474......)
n=184787: c180227(1015392120......) = 179631123757639 * c180212(5652651383......)
n=184791: c119161(1109999999......) = 382960276329637 * c119146(2898472945......)
n=184801: c183600(9000000000......) = 545346780055547 * c183586(1650326054......)
n=184812: c61594(6072227048......) = 111763549858141 * c61580(5433101450......)
n=184815: c95905(1000000000......) = 352272513781081 * c95890(2838711397......)
n=184821: c97336(1428619999......) = 149490027691369 * x97321(9556624090......)
n=184821: x97321(9556624090......) = 151690097693317 * c97307(6300097525......)
n=184818: c61586(1876089996......) = 828001957631419 * c61571(2265803817......)
n=184822: c80985(1201793342......) = 914947256211011 * c80970(1313511062......)
n=184827: c123216(9009009009......) = 206967128388877 * c123202(4352869501......)
n=184839: c123211(7531307889......) = 229548587064373 * c123197(3280921039......)
n=92425: c73920(9999900000......) = 116666659145951 * c73906(8571343409......)
n=184866: c55994(8204133260......) = 178326388543117 * c55980(4600627718......)
n=184880: c73901(2264606008......) = 107086663195201 * c73887(2114741407......)
n=184899: c103200(9009009009......) = 258026487936361 * x103186(3491505496......)
n=184899: x103186(3491505496......) = 651488888515609 * c103171(5359270984......)
n=184914: c61619(3863080570......) = 916819344113293 * c61604(4213567913......)
n=184929: c123273(1217379413......) = 115006971913279 * c123259(1058526620......)
n=184926: c48358(4981515670......) = 915461547558517 * c48343(5441534583......)
n=184935: c98612(1358356590......) = 141583019610481 * x98597(9594064273......)
n=184935: x98597(9594064273......) = 497140774574551 * c98583(1929848599......)
n=184963: c179923(1216457863......) = 119539332201031 * c179909(1017621431......)
n=184995: c98630(1445814952......) = 973368448833601 * c98615(1485372732......)
# 212405 of 300000 Phi_n(10) factorizations were cracked.

-- Dec 9, 2023 (FredOnCyc) --

# via factordb.com
n=6275: p4936(4324856989......) is proven prime

-- Dec 6, 2023 (FredOnCyc) --

# via factordb.com
n=10278: p3371(3156484690......) is proven prime

-- Oct 13, 2023 (FredOnCyc) --

# via factordb.com
n=29382: p9453(9524484029......) is proven prime
n=34900M: p6929(4460867631......) is proven prime

-- Oct 11, 2023 (FredOnCyc) --

# via factordb.com
n=31780L: p5397(2374482284......) is proven prime

-- Dec 9, 2023 (Kurt Beschorner) --

n=5158: c2561(1766765357......) = 12526504286553414480387071457504877 * c2527(1410421708......)
# ECM B1=3e6, sigma=0:2553564566552160
n=5941: c5460(6644504707......) = 100907536708134675930973500425627843 * c5425(6584745723......)
# ECM B1=1e6, sigma=0:5413159547376008
n=6275: c4976(3612439481......) = 8352737420744820793174812768694070571151 * p4936(4324856989......)
# ECM B1=1e6, sigma=0:598971611001117
n=9914: c4919(3323943841......) = 21119725592364935371554207390169 * c4888(1573857494......)
# ECM B1=1e6, sigma=0:8488974959025917
n=12981: c8652(9009009009......) = 227455692714607938429312523 * c8626(3960775349......)
# P-1 B1=50e6
n=147377: c147358(1124366944......) = 6505129998515294448791 * c147336(1728431168......)
# ECM B1=5e4, sigma=0:670963036774753

-- Dec 7, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=11358: c3723(3964206800......) = 1117402462196473692911852287 * c3696(3547698286......)

-- Dec 6, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=10710: c2239(3448392490......) = 35796682173053028162358962001 * c2210(9633274038......)
n=10880: c4041(1934745243......) = 6583700555707288764935464961 * c4013(2938689612......)
n=10986: c3649(2116928943......) = 4742648965537267382209475329 * c3621(4463600319......)
n=11032: c4619(5690332242......) = 4733344496763640974691920410617 * c4589(1202180032......)
n=11036: c5233(1867150507......) = 294573797733621430922028523081 * c5203(6338481298......)
n=11040: c2775(3098029563......) = 273936751955640120264911619220481281 * c2740(1130928778......)
n=11142: c3667(9153940006......) = 22878072073574740342173268358677 * c3636(4001185054......)
n=11144: c4721(9718337910......) = 70776007670260938515176443424241 * c4690(1373111910......)
n=11158: c4768(3282740017......) = 109342335162557559820950948449 * c4739(3002258926......)

-- Dec 5, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=10044: c3241(1000000000......) = 3509666446206038833200247248934261 * c3207(2849273614......)
n=10114: c4657(1099999999......) = 353989925848089079688725717 * c4630(3107433064......)
n=10278: c3404(4012955497......) = 1271336911345670755962274157706373 * p3371(3156484690......)
# ----------------8<----------------8<----------------8<----------------
# $ ./pfgw64 -tc -q"(10^3426-10^1713+1)/31680812614988870603614117000543939651213148400456786211"
# PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]
# 
# Primality testing (10^3426-10^1713+1)/31680812614988870603614117000543939651213148400456786211 [N-1/N+1, Brillhart-Lehmer-Selfridge]
# 
# Running N-1 test using base 2
# Running N-1 test using base 3
# Running N+1 test using discriminant 11, base 2+sqrt(11)
# 
# Calling N-1 BLS with factored part 0.29% and helper 0.04% (0.91% proof)
# (10^3426-10^1713+1)/31680812614988870603614117000543939651213148400456786211 is Fermat and Lucas PRP! (0.5195s+0.0004s)
# ----------------8<----------------8<----------------8<----------------
n=10290: c2301(1955898705......) = 20609416109558830884710453048641 * c2269(9490315956......)
n=10400: c3794(6346839978......) = 449377256065640299076743211201 * c3765(1412363419......)
n=10528: c4410(5366370138......) = 19707705753382679457016969672961 * c4379(2722980648......)
# 1256 of 300000 Phi_n(10) factorizations were finished.

-- Dec 5, 2023 (Makoto Kamada) --

n=293127: x194041(1109999999......) is (probable) prime
# ----------------8<----------------8<----------------8<----------------
# $ ./pfgw64 -tc -q"111*(10^199-1)*(10^491-1)*(10^293127-1)/(10^597-1)/(10^1473-1)/(10^97709-1)"
# PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]
# 
# Primality testing 111*(10^199-1)*(10^491-1)*(10^293127-1)/(10^597-1)/(10^1473-1)/(10^97709-1) [N-1/N+1, Brillhart-Lehmer-Selfridge]
# 
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 131072/2035103 (trial factor to 69135792
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 264192/2035103 (trial factor to 69135792
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 397312/2035103 (trial factor to 69135792
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 530432/2035103 (trial factor to 69135792
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 661504/2035103 (trial factor to 69135792
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 790528/2035103 (trial factor to 69135792
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 917504/2035103 (trial factor to 69135792
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 1044480/2035103 (trial factor to 6913579
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 1173504/2035103 (trial factor to 6913579
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 1302528/2035103 (trial factor to 6913579
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 1429504/2035103 (trial factor to 6913579
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 1556480/2035103 (trial factor to 6913579
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 1683456/2035103 (trial factor to 6913579
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 1810432/2035103 (trial factor to 6913579
# F: 111*(10^199-1)*(....-1)/(10^97709-1) 1937408/2035103 (trial factor to 6913579
# Running N-1 test using base 3
# Running N-1 test using base 7
# Running N-1 test using base 11
# Running N-1 test using base 19
# Running N-1 test using base 23
# Running N-1 test using base 29
# Running N-1 test using base 31
# Running N+1 test using discriminant 43, base 1+sqrt(43)
# 
# Calling N-1 BLS with factored part 0.06% and helper 0.01% (0.18% proof)
# 111*(10^199-1)*(10^491-1)*(10^293127-1)/(10^597-1)/(10^1473-1)/(10^97709-1) is Fermat and Lucas PRP! (3861.6077s+0.0117s)
# ----------------8<----------------8<----------------8<----------------
# 1255 of 300000 Phi_n(10) factorizations were finished.

-- Dec 4, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=4464: c1441(1000000000......) = 4073159644357601328532356620449 * c1410(2455096503......)
n=4632: c1517(6728152040......) = 1289096563711372002926829150477841 * c1484(5219276995......)

-- Dec 4, 2023 (-) --

# via factordb.com
n=145802: c72873(2296229115......) = 105603184868019329 * c72856(2174393810......)
n=145918: c72942(2480319158......) = 79325722282287407 * c72925(3126752694......)
n=146918: c73458(9090909090......) = 3950774687570371 * c73443(2301044683......)
n=73534: c36733(3890521640......) = 2139862435234110030095129 * c36709(1818117639......)
n=148527: c99000(9999999990......) = 2190242491141933 * c98985(4565704496......)

-- Dec 3, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=3562: c1573(1380985988......) = 11609661475352502743102554686451841 * c1539(1189514432......)

-- Dec 2, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=25157: c22850(1348456419......) = 3112058211120753467 * c22831(4333005131......)
n=59617: c59608(1505694602......) = 32810904176004499333 * c59588(4589006735......)
n=59721: c37421(1865895099......) = 1343886781559495533 * c37403(1388431767......)
n=75351: c50204(1056884476......) = 4312005346340563 * c50188(2451027750......)
n=75423: c48586(1292161033......) = 166435391959477 * c48571(7763739539......)
n=75443: c73362(2385906608......) = 2000175000119631961 * c73344(1192848930......)
n=75469: c74825(1761606787......) = 449229598511009957 * c74807(3921395192......)
n=13014: c4269(1051091726......) = 538422321809550234023713787438053 * c4236(1952169669......)
n=13088: c6503(1933282664......) = 181489326220403453473385089 * c6477(1065232156......)
n=13194: c4377(3883067893......) = 45605572211943725619524722489 * c4348(8514459318......)
n=13224: c4014(6258641408......) = 1033608791881119528268608949201 * c3984(6055135615......)
n=13266: c3899(2779907314......) = 66459843765361011513665238859 * c3870(4182837571......)
n=13330: c5036(6819443402......) = 899288181025609298589451811 * c5009(7583156930......)
n=13402: c6696(1695780389......) = 1325020203882882491988283762857527143601 * c6657(1279814741......)
n=13416: c3984(2257291096......) = 4511972017177082438902128105965977 * c3950(5002892499......)
n=13422: c4449(3247427857......) = 1412455499008436832973518368096851 * c4416(2299136404......)
n=13468: c5163(6061198858......) = 6447151802547309858178954781 * c5135(9401358994......)
n=13518: c4479(6491145084......) = 1380670659940629297229785352927 * c4449(4701443489......)
n=13624: c6194(3906498262......) = 2700991999183848374581519791889 * c6164(1446319820......)
n=13806: c4164(1708106960......) = 7333265918796786258909969532807 * c4133(2329258176......)
n=13816: c6205(5784271003......) = 277380446644632454072729287434081 * c6173(2085320386......)
n=13854: c4589(1440269579......) = 13692159708141465231011039611807 * c4558(1051893645......)
n=13966: c6942(2098334988......) = 2504187718724334808509527799379 * c6911(8379303886......)
n=13976: c6969(4091997320......) = 18450356402999009580102769 * c6944(2217841884......)
n=13982: c6985(3612133445......) = 285781244750230963200913072103 * c6956(1263950490......)
n=18054: c5568(9990010000......) = 23799690398333292367077896232691 * c5537(4197537796......)
n=19302: c6433(1098901098......) = 1773158200703234507738256973 * c6405(6197422759......)
n=19342: c9108(4629279523......) = 321022246404000995998683536554693 * c9076(1442043215......)
n=19410: c5089(3355744602......) = 1148583193282780200886411 * c5065(2921638260......)
n=19414: c9106(1605980868......) = 394270924012136834810761 * c9082(4073292680......)
n=19470: c4641(1098890109......) = 268129865713892031162748051 * c4614(4098350279......)
n=19830: c5192(2298007435......) = 11050479033199302437357327803441 * c5161(2079554586......)

-- Dec 3, 2023 (-) --

# via factordb.com
n=141109: c139084(4170903761......) = 2641470291875959 * c139069(1579008393......)
n=142666: c71286(1092099532......) = 9086947617296201 * c71270(1201833199......)
n=142694: c71313(3095458102......) = 601591713973378157 * c71295(5145446705......)
n=142826: c71397(2120498905......) = 31005314411497583 * c71380(6839146597......)
n=142942: c71456(1054151491......) = 24947320584911531 * c71439(4225509859......)
n=71527: c71491(6795064221......) = 806378547312334797666919 * c71467(8426643099......)
n=144574: c72267(2037859389......) = 175803454751303 * c72253(1159169137......)
n=144994: c72470(8678178574......) = 630412128826411 * c72456(1376588136......)

-- Dec 2, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=9665: c7712(5502493805......) = 685135645627741628731486925874961 * c7679(8031247301......)

-- Dec 2, 2023 (-) --

# via factordb.com
n=135226: c53417(1490632574......) = 37331335580779423 * c53400(3992979493......)
n=135292: c66897(1009999999......) = 73627928721139901 * c66880(1371762071......)
n=135362: c66353(1099999999......) = 26238206866664813 * c66336(4192359659......)
n=135484: c67733(3907949944......) = 65152040820540655981 * c67713(5998200356......)
n=135710: c52773(3942610247......) = 35212323473203001 * c52757(1119667735......)
n=135958: c67963(1108707106......) = 36984655219795783 * c67946(2997748931......)
n=136702: c68312(1930080719......) = 9564895783478369 * c68296(2017879507......)
n=68477: c68477(1111111111......) = 13741551563116944446243281 * c68451(8085776238......)
n=137486: c68716(2287306607......) = 13510760059533727 * x68700(1692951838......)
n=137486: x68700(1692951838......) = 39155076677349013 * c68683(4323709673......)
n=137554: c68771(2202986235......) = 114559003725223423 * c68754(1923014485......)
n=137794: c68872(3500713284......) = 6886401653269771 * c68856(5083515978......)
n=137798: c68898(9090909090......) = 20703904491573253 * c68882(4390915295......)
n=137986: c68992(9090909090......) = 64088277361357853 * c68976(1418497963......)
n=139642: c69805(5292037311......) = 917707627572294289 * c69787(5766583117......)

-- Dec 1, 2023 (Alfred Reich) --

# via Kurt Beschorner
n=7767: c5153(8033373571......) = 586816979117326226695573902649 * c5124(1368974289......)
n=14793: c9832(3082082611......) = 185909069843365983991 * c9812(1657844135......)
n=14833: c11647(1333080506......) = 2899387442386163 * c11631(4597800509......)
n=14835: c7373(3187282375......) = 49815388166779366670650801 * c7347(6398188377......)
n=15177: c10094(2981817091......) = 752915375712391729 * c10076(3960361532......)
n=15433: c13169(5459914384......) = 2934972774924292492787 * c13148(1860294729......)
n=15573: c9934(4171364470......) = 16469867220449418757 * c9915(2532725015......)
n=15821: c14578(8195532561......) = 1233099267925015581169 * c14557(6646287751......)
n=15905: c12715(7073262549......) = 9592331084416135271 * c12696(7373872406......)
n=16407: c10927(6088827403......) = 351864944322230245321 * c10907(1730444450......)
n=17081: c15113(2324858250......) = 57383574088987205675831 * c15090(4051435080......)
n=17577: c9707(3576498868......) = 144920622911118013 * c9690(2467901943......)
n=17855: c14268(2978272649......) = 123307525518697716401 * c14248(2415321074......)
n=17883: c11900(2525749332......) = 665735016612509266378246471 * c11873(3793925915......)
n=18273: c12130(1083356417......) = 2318559346353688472575951 * c12105(4672541244......)
n=18585: c8347(2239704424......) = 307748635687444973197681 * c8323(7277707077......)
n=18853: c17723(2983600144......) = 2128179823986503747 * c17705(1401949267......)
n=18857: c18576(9000000000......) = 1553444968725824547457701075467 * c18546(5793575042......)
n=18915: c9212(2381406544......) = 253732322728060801 * c9194(9385507212......)
n=18941: c16561(1111111111......) = 4798371774951658333 * c16542(2315600297......)
n=19135: c14785(1111099999......) = 27351189240811958111 * c14765(4062346211......)
n=19171: c18144(9000000000......) = 42968547141926472495070667 * c18119(2094555343......)
n=19201: c15107(6278673940......) = 1803565405771978213 * c15089(3481256582......)
n=19261: c16310(2337324840......) = 119636207033512907 * c16293(1953693533......)
n=19287: c12852(9990000009......) = 2601410788345476293093197 * c12828(3840223948......)
n=19305: c8640(9999999990......) = 209178833773070784990511 * c8617(4780598404......)
n=19555: c15626(4665848849......) = 71827918977615230471 * c15606(6495870848......)
n=19737: c12055(1711401050......) = 17101632797217883 * c12039(1000723773......)
n=21485: c17165(4880710499......) = 7659193961472401911 * c17146(6372355268......)
n=24555: c13089(1109988900......) = 1277646724975944361 * c13070(8687760695......)
n=24645: c12475(4569412358......) = 5477651176446151 * c12459(8341919211......)
n=24769: c22054(3791128225......) = 5523099410526809 * c22038(6864131792......)
n=29823: c19870(2374538290......) = 7383372714917437957 * c19851(3216061795......)
n=31785: c15541(1013335594......) = 97519618578176628991 * c15521(1039109472......)
n=31887: c21222(6423970182......) = 182292830111341837 * c21205(3523984008......)
n=31913: c26497(1111110999......) = 480451534089526569169832443 * c26470(2312639092......)
n=31941: c16849(1000000000......) = 50831846510053519 * c16832(1967270655......)
n=31971: c21301(2369295105......) = 14209581913265830123 * c21282(1667392552......)
n=32087: c29160(9000000000......) = 25056907164189378347 * c29141(3591823979......)
n=32113: c30189(2337029794......) = 2249362270305169989239477 * c30165(1038974390......)
n=32127: c21388(7918609745......) = 410376279057910729 * c21371(1929597335......)
n=32437: c32059(8115697199......) = 62125821424961375791 * c32040(1306332377......)
n=32467: c32430(2319274224......) = 35618910644475990493 * c32410(6511356418......)
n=32553: c21679(4967651353......) = 28084208110671277 * c21663(1768841526......)
n=32655: c14880(9009100000......) = 172999567107001321 * c14863(5207585285......)
n=32665: c25393(1111099999......) = 12694944414957357551 * c25373(8752302993......)
n=32721: c20106(2924410316......) = 3146983373408575507 * c20087(9292741553......)
n=33355: c22830(3991983353......) = 34182479311533203951441 * c22808(1167844882......)
n=33357: c22225(1911094517......) = 109733716103086542547 * c22205(1741574591......)
n=33701: c33099(2053968766......) = 29708739713221466551 * c33079(6913685286......)
n=34045: c24701(8908590636......) = 283021473109591481 * c24684(3147673050......)
n=34353: c20753(1159056384......) = 12980861197464798199 * c20733(8928963702......)
n=34441: c29960(2352524118......) = 15524740031687239 * c29944(1515338816......)
n=34713: c18140(1438921458......) = 2958762395780529509557 * c18118(4863254516......)
n=34911: c23220(9999999999......) = 741336099619789441 * c23203(1348915829......)
n=34967: c34385(8200526276......) = 223043114734206768601 * c34365(3676655199......)
n=35031: c23352(9009009009......) = 160466853753913243 * c23335(5614249172......)
n=35051: c35045(3962465937......) = 8703489371405400530243 * c35023(4552732551......)
n=35131: c32490(2020527369......) = 223061290844506831 * c32472(9058171238......)
n=35195: c28146(3455683794......) = 1615893781376951 * c28131(2138558755......)
n=35307: c23512(7440829530......) = 380004565582095121 * c23495(1958089508......)
n=35863: c35846(1837689919......) = 91729532390442977951 * c35826(2003378706......)
n=35919: c21998(1443675327......) = 18179092363939722307 * c21978(7941404878......)
n=35973: c20516(1391303320......) = 449871287435893 * c20501(3092669746......)
n=38073: c21158(8623176199......) = 1848693962044908763 * c21140(4664469282......)
n=38075: c30435(1010140905......) = 379796518309007215151 * c30414(2659689747......)
n=38303: c38295(4132259357......) = 1038798920679391272906721 * c38271(3977920341......)
n=38309: c36951(2202953182......) = 914101125339653 * c36936(2409966601......)
n=38733: c25813(4138658096......) = 10447730830102021389169 * c25791(3961298547......)
n=38751: c25824(1128565801......) = 5980810539039763951 * c25805(1886978018......)
n=38865: c20721(1109988900......) = 1437258511378944984031 * c20699(7722959309......)
n=38869: c37989(3898097325......) = 74475068067798513449 * c37969(5234097029......)
n=38871: c22177(1001000999......) = 112260165388249924711 * c22156(8916796056......)
n=38893: c34793(1156104327......) = 8275474929967257003587 * c34771(1397024747......)
n=38929: c35375(5779715766......) = 3255464270802857917 * c35357(1775389095......)
n=39007: c36917(2057027405......) = 10881322114897445467 * c36898(1890420468......)
n=39029: c37726(9253925154......) = 4450232180553749485187 * c37705(2079425247......)
n=39035: c30241(1111099999......) = 63822209756051801 * x30224(1740930005......)
n=39035: x30224(1740930005......) = 480574585654385801 * c30206(3622601064......)
n=39255: c20908(3009040751......) = 122599568597976601 * c20891(2454364877......)
n=39311: c37224(9000000000......) = 518778991187426573 * c37207(1734842804......)
n=39339: c24841(1000000001......) = 6015183150428029027 * c24822(1662459772......)
n=39429: c24193(1001000999......) = 306851571333588763 * c24175(3262166772......)
n=39459: c22512(7565060283......) = 31981604673817646808157 * c22490(2365441121......)
n=39485: c30779(3517463855......) = 105852145763354203782874309001 * c30750(3322997214......)
n=39535: c31601(1446325994......) = 119236991407631 * c31587(1212984307......)
n=39669: c22657(1109999889......) = 24338719698802288333 * c22637(4560633849......)
n=39673: c39153(9968856352......) = 8385805945202083531277 * c39132(1188777371......)
n=39853: c36220(9000000000......) = 2788227152764241 * c36205(3227857526......)
n=39967: c37600(9000000000......) = 48469409368068549599 * c37581(1856841277......)
n=40077: c25895(1356283944......) = 3624814407739321 * c25879(3741664515......)
n=40101: c26708(4872008459......) = 31861176580541500629253 * c26686(1529136391......)
n=40195: c32152(9000090000......) = 852425739599809204471 * c32132(1055821003......)
n=40349: c39936(9000000000......) = 354132644050626773 * c39919(2541420609......)
n=40689: c24481(1000000001......) = 23069022129081919 * c24464(4334817468......)
n=40745: c31339(1246361053......) = 424021006642471801 * c31321(2939385157......)
n=40747: c34920(9000000900......) = 1523032454213769227 * c34902(5909264031......)
n=40907: c38730(9167125871......) = 78331500533703423890921 * c38708(1170298769......)
n=40919: c36709(3289377907......) = 167668850497673969 * c36692(1961830058......)
n=40943: c35088(9000000900......) = 5308716297811991 * c35073(1695325271......)
n=41195: c25417(4514356245......) = 287934193977431 * c25403(1567843048......)
n=41283: c24816(6968083956......) = 42822683072246523221227 * c24794(1627194621......)
n=41581: c40572(9000000000......) = 11433993281448996067 * c40553(7871265776......)
n=41693: c41280(9000000000......) = 161951823966408079 * c41263(5557208174......)
n=41923: c34938(2007849165......) = 237818574348212999265833563 * c34911(8442776896......)
n=41975: c31667(2995643115......) = 171578630076586351 * c31650(1745930197......)
n=42879: c28572(5061856080......) = 1068783913947121 * c28557(4736089320......)
n=43107: c28736(9009009009......) = 4234161760492837 * c28721(2127695992......)
n=43353: c28890(2679463005......) = 1020257338165301264761 * c28869(2626261929......)
n=43435: c27638(6952550831......) = 40674259977637441 * c27622(1709324480......)
n=43909: c41580(9000000000......) = 3165563454798278557 * c41562(2843095748......)
n=43959: c29304(9009009009......) = 3595765816161231679 * c29286(2505449317......)
n=44251: c39161(7945976702......) = 59043665908785587 * c39145(1345779700......)
n=44269: c44253(3270791882......) = 1940582956349390653 * c44235(1685468725......)
n=44841: c29884(1834795270......) = 6333307673731460709241 * c29862(2897056900......)
n=44863: c32256(9000000900......) = 192162422845667 * c32242(4683538418......)
n=44939: c44926(9849851235......) = 9213267080449669693 * c44908(1069094290......)
n=45645: c22773(2067490491......) = 30507395665438591 * c22756(6777014054......)
n=45673: c45640(4740069877......) = 4050792492914778157 * c45622(1170158650......)
n=45675: c20160(9999999999......) = 109293638304201751 * c20143(9149663379......)
n=46409: c42180(9000000000......) = 1735097051888083336157 * c42159(5187029734......)
n=46411: c46377(1910149394......) = 4376838090077237 * c46361(4364222196......)
n=46491: c30951(9451151492......) = 3613190435598067 * c30936(2615735777......)
n=46579: c42972(2142666034......) = 184578188103550853 * c42955(1160844657......)
n=46905: c24110(1366673177......) = 843833879330094544081 * c24089(1619599794......)
n=46977: c26808(6244301198......) = 798771949494682507 * c26790(7817376665......)
n=47049: c31364(9009009009......) = 530505427068352129 * c31347(1698193562......)
n=47473: c45792(3305283839......) = 435424010143800079 * c45774(7590954478......)
n=47811: c31872(9009009009......) = 150635582856403 * c31858(5980664619......)
n=47833: c46249(2185309474......) = 13699636297852283 * c46233(1595158752......)
n=48065: c38448(9000090000......) = 1644653973098321 * c38433(5472330440......)
n=48127: c42588(1136067977......) = 8776544707952915639 * c42569(1294436495......)
n=48235: c35027(3806057319......) = 161116589078554552631 * c35007(2362300084......)
n=48401: c46674(6629457055......) = 36621512009920870213 * c46655(1810263064......)
n=48599: c46444(1639098992......) = 31919742619011000359 * c46424(5135063312......)
n=48657: c27691(4133112304......) = 90150501920290519 * c27674(4584680302......)
n=48785: c35417(1022124399......) = 11168184853842721 * c35400(9152108539......)
n=48963: c30881(1149603412......) = 14188912300879951 * c30864(8102125010......)
n=48987: c32652(9990000009......) = 2363851013744161 * c32637(4226154673......)
n=49019: c48975(2041851267......) = 303906562728951733 * c48957(6718681062......)
n=50155: c34354(3203740576......) = 1181134466516912951 * c34336(2712426626......)
n=50415: c26871(3504892958......) = 2769280430649721 * c26856(1265633093......)
n=50453: c46530(5180564333......) = 99358159134146849 * c46513(5214030109......)
n=50553: c32641(1001000999......) = 1668658212582373 * c32625(5998837823......)
n=50635: c34542(7583609537......) = 667430556988316161 * c34525(1136239487......)
n=50673: c27202(2818164179......) = 151821958714565707 * c27185(1856229628......)
n=50697: c32761(1001000999......) = 1989666376707547 * c32745(5030999225......)
n=50755: c40594(1583251547......) = 58451536210677151 * c40577(2708656863......)
n=50777: c50750(1313588684......) = 298444756576988509226423803 * c50723(4401446684......)
n=50793: c33846(3306907509......) = 9005014447023333043 * c33827(3672295617......)
n=50843: c46878(4233043358......) = 3384498504726333853 * c46860(1250715092......)
n=50889: c33924(9009009009......) = 83171780256354319 * c33908(1083180975......)
n=51073: c46393(1022841978......) = 11196422158386631 * c46376(9135435982......)
n=51097: c49680(9000000000......) = 14377466201587613 * c49664(6259795623......)
n=51205: c30231(1638285059......) = 12241403840151641 * c30215(1338314690......)
n=51573: c34358(3135956645......) = 24588198080222809 * c34342(1275390996......)
n=51641: c51059(2609607278......) = 523345371420678671 * c51041(4986396022......)
n=51665: c41296(1226553090......) = 31528417860677885546179241 * c41270(3890309675......)
n=51731: c48398(5992451431......) = 225551198571402391 * c48381(2656803186......)
n=51863: c42794(1300546585......) = 877951032286167629510239 * c42770(1481342965......)
n=52185: c23520(9999999000......) = 905289381227071 * c23506(1104619054......)
n=52285: c41824(9000090000......) = 1647359469280936031351 * c41803(5463343106......)
n=52461: c33265(1000000001......) = 20972602324348470464689 * c33242(4768125507......)
n=52693: c48043(5271600779......) = 2486242700053672694591 * c48022(2120308198......)
n=52703: c45154(3784761952......) = 84906281282971507493 * c45134(4457575924......)
n=52735: c41157(7439169764......) = 63385402232911391 * c41141(1173640854......)
n=52887: c32624(1470291882......) = 37469658482222430511 * c32604(3923953250......)
n=53061: c33779(2057177210......) = 91134183552236449 * c33762(2257305799......)
n=53167: c52416(9000000000......) = 13747628135966213 * c52400(6546583825......)
n=53261: c46074(1580426056......) = 468802949058162360071 * c46053(3371194784......)
n=53389: c43984(3730317057......) = 1428865169994619757 * c43966(2610685133......)
n=53409: c33691(5195729204......) = 647775588680923 * c33676(8020878364......)
n=53479: c53468(1468557063......) = 5902614565519158391435357 * c53443(2487977229......)
n=53561: c50705(1873945342......) = 319215468125903145409 * c50684(5870471608......)
n=53839: c50656(9000000000......) = 3235700503939517 * c50641(2781468800......)
n=53847: c34545(5960227078......) = 49919315554075843 * c34529(1193972115......)
n=53867: c47552(3015633773......) = 9239981408020333631959 * c47530(3263679481......)
n=53937: c33121(1001000999......) = 376139080423142992801 * c33100(2661252318......)
n=53963: c42617(1319887019......) = 131574650759992877347 * c42597(1003146892......)
n=54589: c53794(7030184684......) = 262685152155227 * c53780(2676277904......)
n=54703: c49702(4655654080......) = 3613364323346317 * c49687(1288454100......)
n=54873: c28512(9990000009......) = 254299105399315159 * c28495(3928444810......)
n=54885: c29238(1504651180......) = 76926731867546621041 * c29218(1955953599......)
n=54911: c53592(9000000000......) = 118016611815272119 * c53575(7626045063......)
n=54915: c25050(1864265049......) = 129944290311309391 * c25033(1434664843......)
n=55037: c53790(6717009958......) = 4830988027598671 * c53775(1390400870......)
n=55113: c36740(9009009009......) = 27524805095242420718359 * c36718(3273050972......)
n=55469: c55456(3761707984......) = 99681562916524482427 * c55436(3773724924......)
n=55637: c51021(1470056158......) = 762119535131345851591 * c51000(1928904968......)
n=55753: c55188(9000000000......) = 244382985878302679 * c55171(3682744102......)
n=55845: c27648(9990000009......) = 771070231606911121 * c27631(1295601827......)
n=55907: c54360(9000000000......) = 2250499732667959 * c54345(3999111783......)
n=55909: c47613(7158600750......) = 3465897765051079 * c47598(2065439097......)
n=56073: c37380(9009009009......) = 1175350521519919999 * c37362(7664955129......)
n=56191: c55432(9000000000......) = 1983448571613889 * c55417(4537551479......)
n=56377: c56355(1688412290......) = 2699661819686523143671 * c56333(6254162199......)
n=56393: c56365(1174450257......) = 5296800938847689 * c56349(2217282226......)
n=56461: c55889(3497377333......) = 6220235180621999 * c55873(5622580548......)
n=56541: c36788(2314732974......) = 10469950888846081 * c36772(2210834605......)
n=56815: c41233(3181824906......) = 227939099889327330241 * c41213(1395910095......)
n=56859: c34435(9760901872......) = 70748000138729827 * c34419(1379671772......)
n=56943: c34940(2839428935......) = 703069731255179540521 * c34919(4038616383......)
n=57013: c50401(1111111111......) = 170874447138773375867 * c50380(6502500108......)
n=57049: c56307(1116671696......) = 449625737435117485643 * c56286(2483558219......)
n=57051: c38016(9999999990......) = 1801587355028119 * c38001(5550660622......)
n=57063: c36335(2429882881......) = 6229707173829172399 * c36316(3900476883......)
n=57125: c45585(8693060813......) = 1293792460775077751 * c45567(6719053539......)
n=57291: c34925(8683989039......) = 3873186211120279 * c34910(2242078889......)
n=57299: c52036(6429324615......) = 20435386568330660917 * c52017(3146172250......)
n=57883: c49608(9000000900......) = 1317605771507970827 * c49590(6830571855......)
n=57913: c55878(1438971996......) = 37237969126900169 * c55861(3864260135......)
n=57925: c39601(1000010000......) = 45290071141773354401 * c39581(2208011546......)
n=58013: c57973(2140015350......) = 6102854277345466481 * c57954(3506581106......)
n=58121: c45139(8602668547......) = 5098133820004163 * c45124(1687415209......)
n=58189: c58155(6271973667......) = 24890122062675427 * c58139(2519864567......)
n=58389: c38906(2249195489......) = 8172691453063134769 * c38887(2752086632......)
n=58405: c46707(1181329028......) = 694083249309799991 * c46689(1701999046......)
n=58445: c46723(2160986986......) = 309362966181966022951 * c46702(6985280148......)
n=58515: c30152(1682924922......) = 90395082985191848265789481 * c30126(1861743876......)
n=58627: c56028(3045800645......) = 569201880709410563 * c56010(5351002427......)
n=58933: c50495(6467312988......) = 402416710742243 * c50481(1607118396......)
n=59017: c50580(9000000900......) = 23156763951024064187 * c50561(3886553803......)
n=59531: c58459(1889767747......) = 21145833132591634037 * c58439(8936832782......)
n=73499: c72309(1968961369......) = 23115007092997747 * c72292(8518108438......)
n=73925: c59115(2254509627......) = 10142740695942547201 * c59096(2222781490......)
n=74053: c62148(4020129874......) = 920721229895111 * c62133(4366283457......)
n=74141: c73489(2248058049......) = 2168753078692490303609 * c73468(1036567081......)
n=74175: c36960(9999900000......) = 5479143824821351 * c36945(1825084414......)
n=74187: c49445(6412366798......) = 42053917017971107 * c49429(1524796559......)
n=74199: c49459(6070801696......) = 1788707644715479 * c49444(3393959719......)
n=74253: c48450(2160331919......) = 245258763989039719 * c48432(8808378075......)
n=74355: c39599(4047348917......) = 1305560546181751 * c39584(3100085192......)
n=74389: c63750(6721419518......) = 718096458596542159 * c63732(9360051060......)
n=74443: c67187(3286845796......) = 37693973829950563 * c67170(8719817685......)
n=74543: c60985(1111110999......) = 174323190566519 * c60970(6373856492......)
n=74677: c73216(9000000000......) = 18073208709028919 * c73200(4979746621......)
n=74721: c49796(5383679533......) = 1014026989541959 * c49781(5309207337......)
n=74901: c49927(6013904266......) = 10533895367216241733 * c49908(5709098161......)
n=74943: c45361(1001000999......) = 294067104697983277 * x45343(3403988355......)
n=74943: x45343(3403988355......) = 810103004599193996870917 * c45319(4201920417......)
n=75025: c59992(7616432559......) = 1062426234853261001 * c59974(7168904823......)
n=75095: c57365(1149342329......) = 1494564984748838665841 * c57343(7690146241......)
n=75111: c50066(9995205999......) = 153270840365431 * c50052(6521270435......)
n=93953: c91903(4789603367......) = 1240228209838518203 * c91885(3861872621......)
n=94015: c75208(9000090000......) = 113739199755683571361 * c75188(7912918343......)
n=94119: c62017(1109999999......) = 1977707224238563 * c62001(5612559768......)
n=94139: c90014(1001341814......) = 7770632713756763 * c89998(1288623270......)
n=94293: c62828(1034885365......) = 164146056147542719 * c62810(6304661770......)
n=94479: c48926(2051349821......) = 1254274810780532773 * c48908(1635486740......)
n=94499: c92659(4761929957......) = 75450497965908151 * c92642(6311330058......)
n=94527: c62842(2516137138......) = 179546960390839003 * c62825(1401381083......)
n=94571: c88963(4639869524......) = 3980803705633159 * c88948(1165560994......)
n=94577: c79331(4383869056......) = 879223205449332493 * c79313(4986070692......)
n=94601: c82481(4432101131......) = 34572362467751083 * c82465(1281978093......)
n=94639: c84065(2787561206......) = 1689728560576128325613 * c84044(1649709469......)
n=94821: c63181(3452506786......) = 74246805733635277 * c63164(4650040836......)
n=95041: c94000(9000000000......) = 1432698047045267 * c93985(6281854029......)
n=95053: c79049(2879158501......) = 7985754526847693 * c79033(3605368148......)
n=95073: c55425(4581588378......) = 18223661128307449 * c55409(2514087782......)
n=95375: c64780(1283304565......) = 118498610341014751 * c64763(1082970139......)
n=95397: c63588(1136426309......) = 4479067923176665201 * c63569(2537193739......)
n=95423: c92799(2067174061......) = 415302995726334041 * c92781(4977508188......)
n=95459: c75447(6427914338......) = 45394730067220888946465147 * c75422(1416004529......)
n=95583: c63001(1109999999......) = 21118155548411233489 * c62981(5256140847......)
n=95659: c89751(3749569379......) = 28553735655209627 * c89735(1313162461......)
n=95765: c75473(1111099999......) = 16721589096249671 * c75456(6644703404......)
n=95897: c90240(9000000000......) = 61345390362939317 * c90224(1467102898......)
n=95913: c63917(4301232517......) = 28504234615720627 * c63901(1508980183......)
n=95981: c93600(9000000000......) = 122529982076466559123 * c93580(7345141040......)
n=96061: c82319(2657694379......) = 1195501431486100159 * c82301(2223079211......)
n=96123: c63724(9999999999......) = 25231268724235837 * c63708(3963336171......)
n=96153: c64095(4684701549......) = 17671216557887359 * c64079(2651035108......)
n=96315: c51345(7889437087......) = 152621585709209041 * c51328(5169279988......)
n=96585: c50048(9009099100......) = 191917448110478447191 * c50028(4694257446......)
n=97033: c91901(9661660459......) = 12894333187093231 * c91885(7492950832......)
n=97071: c56132(6379876524......) = 3997899912137119 * c56117(1595806964......)
n=97141: c88253(7793310146......) = 37340132125571111 * c88237(2087113703......)
n=97223: c72570(2103878991......) = 309980275481559719 * c72552(6787138272......)
n=97309: c90721(1111111111......) = 26876164015567813 * c90704(4134187864......)
n=97341: c63819(1145464463......) = 1410125738195395096597 * c63797(8123137051......)
n=97535: c78015(1797201052......) = 6111064450810872001 * c77996(2940896904......)
n=97539: c57584(1895440230......) = 2670218641264438837 * c57565(7098445801......)
n=97555: c76863(1325532163......) = 60191328902666664601 * c76843(2202197870......)
n=97595: c76961(1111099999......) = 3572929284578831 * c76945(3109773274......)
n=97691: c86921(1111111111......) = 2338995136575637 * c86905(4750378030......)
n=97723: c96388(6988750000......) = 190630878272137547 * c96371(3666116457......)
n=97951: c83881(7614444020......) = 9161279246914999 * c83865(8311551056......)

-- Dec 1, 2023 (-) --

# via factordb.com
n=130070: c52025(1099989000......) = 450250491820214161 * c52007(2443060074......)
n=130076: c62881(1009999999......) = 859408431988181 * c62866(1175227007......)
n=130090: c52033(1099989000......) = 42310081543867961 * c52016(2599827180......)
n=130204: c63505(1009999999......) = 697538566003309 * c63490(1447948614......)
n=130228: c55801(1009999999......) = 1478661255221389 * c55785(6830502905......)
n=697: c630(5768769296......) = 16686233864879961607944220003247950213831 * c590(3457202711......)
n=130414: c64661(1055169469......) = 2582559253912247 * c64645(4085751246......)
n=130430: c52162(1338659873......) = 153075457853491 * c52147(8745097957......)
n=130546: c60241(1099999999......) = 37913293709450641 * c60224(2901356997......)
n=130658: c59371(1462787250......) = 2826732837597703 * c59355(5174833756......)
n=130726: c64801(1099999999......) = 408215680462819 * c64786(2694653960......)
n=130802: c56053(1099999890......) = 37655293410496721 * c56036(2921235742......)
n=130872: c34545(6137496599......) = 549794582121769993 * c34528(1116325405......)
n=130882: c63295(2801498547......) = 11325923033336543 * c63279(2473527798......)
n=130886: c56083(4202113625......) = 6782566757587769 * c56067(6195462242......)
n=131128: c63634(7849359513......) = 179805094491097 * c63620(4365482265......)
n=131194: c56221(1099999890......) = 200831345277263 * c56206(5477232094......)
n=131396: c64852(1108174375......) = 4144943020434329 * c64836(2673557562......)
n=131512: c61814(4100326335......) = 4878628370669993 * c61798(8404670378......)
n=131768: c51840(9999000099......) = 101188164115064209 * c51823(9881590586......)
n=131834: c63576(1209972972......) = 639213419556779 * c63561(1892909214......)
n=131836: c63009(1009999999......) = 134397743419899901 * c62991(7515007129......)
n=131942: c64145(3157953151......) = 49841141038799797 * c64128(6336037028......)
n=132418: c55440(9090909091......) = 3019952736172373 * c55425(3010281910......)
n=132526: c60979(6859665646......) = 170513539028687 * c60965(4022944855......)
n=133172: c61153(1000000000......) = 400898992418549 * c61138(2494393896......)
n=133226: c64282(2502013552......) = 153779374313180321 * c64265(1627015042......)
n=133478: c66701(3707671359......) = 47549655364302864379 * c66681(7797472623......)
n=133532: c53994(1235782292......) = 125931803088029 * c53979(9813107269......)
n=133534: c66210(2059400216......) = 3988694138696609 * c66194(5163093847......)
n=133676: c63863(1335169889......) = 4038565673836621 * c63847(3306049714......)
n=133690: c51497(1274593293......) = 666529422427931 * c51482(1912283614......)
n=133728: c37965(3950577906......) = 410755659028513 * c37950(9617829528......)
n=133784: c57313(1000099999......) = 1148020357946953 * c57297(8711517989......)
n=133804: c60779(6047632041......) = 9356221823128709 * c60763(6463754447......)
n=133942: c66433(1099999999......) = 404109014678348767 * c66415(2722037767......)
n=133990: c53593(1099989000......) = 280631373183211 * c53578(3919693609......)
n=134152: c65275(7454920873......) = 444112848587497 * c65261(1678609591......)
n=134176: c57390(1190524588......) = 1036081285653793 * c57375(1149064851......)
n=134650: c53841(1000009999......) = 9120937351312051 * c53825(1096389506......)
n=134712: c44881(1000000000......) = 2182689778473433 * c44865(4581503106......)
n=134732: c62152(1753945516......) = 44021811245891441 * c62135(3984264769......)
n=134758: c60458(4015272637......) = 16375106534070103 * c60442(2452058940......)
n=134794: c61161(1000000000......) = 738535496073343 * c61146(1354031059......)

-- Dec 1, 2023 (Kurt Beschorner) --

n=5909: c5566(4689677044......) = 102359219522513907750664346117 * c5537(4581587341......)
# ECM B1=1e6, sigma=0:3461714807018060
n=5923: c5873(6218483759......) = 2446948305447087609231379520791 * c5843(2541322080......)
# ECM B1=1e6, sigma=0:2597821242268892
n=12927: c8276(1431094722......) = 157109899417606080398227 * c8252(9108876832......)
# P-1 B1=60e6
n=12933: c8575(7946380345......) = 106644668504142754873387 * c8552(7451268269......)
# P-1 B1=56e6
n=12935: c9492(1500224336......) = 6624018690369807811241 * c9470(2264825035......)
# P-1 B1=52e6
n=100071: c66669(1013652069......) = 75272098833428311 * c66652(1346650466......)
# P-1 B1=2.4e6