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July 19, 2025 2025 年 7 月 19 日 (Kurt Beschorner)

n=193993: c193986(1431895697......) = 15776979793478000723 * c193966(9075854288......)

n=194309: c194284(2056963473......) = 11229209316566658133 * c194265(1831797249......)

n=194431: c194413(8115105048......) = 110403898185469283 * c194396(7350379091......)

n=194527: c194507(1689191454......) = 2181774393290721413 * c194488(7742282886......)

n=194713: c194689(1147130919......) = 2169943501984982879 * x194670(5286455238......)

n=194713: x194670(5286455238......) = 8156017860799736441 * c194651(6481662164......)

n=194861: c194831(1503599027......) = 186365803380830237 * c194813(8067998531......)

n=194911: c194889(5344474225......) = 7074899211703772591 * c194870(7554134787......)

n=195413: c195392(2224194228......) = 131017610357835763 * c195375(1697629976......)

n=195479: c195473(2842014408......) = 1035146756739711667 * c195455(2745518343......)

n=195541: c195523(3141465838......) = 137074135549040603 * c195506(2291800583......)

n=195977: c195952(2428023555......) = 4192590236606344267 * c195933(5791225515......)

n=196039: c196012(2285806383......) = 415009467862093231 * c195994(5507841533......)

n=196561: c196545(7900623084......) = 10906193652314902759 * c196526(7244161745......)

n=196699: c196692(1344949555......) = 10685734535507578507 * c196673(1258640246......)

n=197147: c197124(1005904783......) = 1788291879228731249 * c197105(5624947443......)

n=197243: c197226(1547797473......) = 292118887833080041 * c197208(5298518985......)

n=197273: c197254(1166095568......) = 1215495240824082079 * c197235(9593583995......)

n=197887: c197880(2339531477......) = 16876268255138739323 * c197861(1386284836......)

n=197969: c197960(4194731681......) = 1390694243253648241 * c197942(3016286075......)

n=198427: c198410(2376441797......) = 167502194203038173 * x198393(1418752637......)

n=198427: x198393(1418752637......) = 715349274486737791 * c198375(1983300588......)

n=199337: c199311(3221435558......) = 179549734286588399 * c199294(1794174506......)

n=199501: c199486(1094440433......) = 344488191476881631 * c199468(3177004205......)

n=199673: c199655(5829760036......) = 158749973905277431 * c199638(3672290390......)

n=199721: c199711(1606687570......) = 72099471580968157 * c199694(2228431824......)

n=199921: c199902(1717597720......) = 1444158130549022363 * c199884(1189341862......)

# gr-mfaktc

July 11, 2025 2025 年 7 月 11 日 (Kurt Beschorner)

n=5096: c2000(1556319877......) = 2149943985073765913184689961767955977 * c1963(7238885704......)

# ECM B1=6e6, sigma=3:2701705479

n=9221: c9175(9298508014......) = 11538873919587620194453969318532431 * c9141(8058418940......)

# ECM B1=1e6, sigma=0:1526250657101822

n=14949: c8967(2120788885......) = 56868802440128909237781999970471 * c8935(3729265949......)

# P-1 B1=200e6

n=188933: c188909(2850197466......) = 14270959890742574119 * c188890(1997200950......)

n=189851: c189829(1872792758......) = 2615180256202780963 * c189810(7161237753......)

n=190313: c190286(9916715011......) = 195533146873518683 * c190269(5071628606......)

n=190543: c190517(8879395421......) = 1351263587222877077 * c190499(6571179380......)

n=190711: c190696(1112675971......) = 8837094962814912877 * c190677(1259096995......)

n=191453: c191446(1381802487......) = 17800093404374499199 * c191426(7762894588......)

n=191473: c191453(1962833194......) = 17705114164429065443 * c191434(1108624986......)

n=191509: c191465(1557585502......) = 156043419171822587 * c191447(9981744252......)

n=191749: c191732(9171880655......) = 168328791028380071 * c191715(5448789003......)

n=191899: c191893(1447518829......) = 318723228039513883 * c191875(4541616996......)

n=192053: c192013(4801379866......) = 7381070964302271053 * c191994(6504990793......)

n=192383: c192374(1851126947......) = 1971614633386348403 * c192355(9388888254......)

n=192407: c192394(2448906652......) = 1134342795540192209 * c192376(2158877071......)

n=192781: c192730(1647183189......) = 2695974113389892323 * c192711(6109788598......)

n=193009: c192980(5578382809......) = 8955737173343315009 * c192961(6228837114......)

n=193043: c193034(1980650380......) = 303876578832149627 * c193016(6517943528......)

n=193163: c193152(2083524456......) = 105855551068945241 * c193135(1968271323......)

n=193447: c193402(1885053245......) = 1468251349481264693 * c193384(1283876392......)

n=193493: c193461(8043713398......) = 6321760417033269209 * c193443(1272385042......)

n=193573: c193551(2747922903......) = 83420359449355373 * c193534(3294067445......)

n=193619: c193580(3489775688......) = 235567334556650893 * c193563(1481434467......)

n=193789: c193783(1433401376......) = 489130808838544879 * c193765(2930507240......)

n=193841: c193817(9695738709......) = 127098877548469199 * c193800(7628500657......)

n=193861: c193845(1355790519......) = 2570782167961629883 * c193826(5273844421......)

n=193871: c193862(2299834588......) = 7939236996680056031 * c193843(2896795484......)

n=193877: c193862(5229515603......) = 376937178096246083 * c193845(1387370603......)

# gr-mfaktc

July 3, 2025 2025 年 7 月 3 日 (Torbjörn Granlund)

# via Kurt Beschorner

n=2193: c1329(5400007130......) = 154078457015387145467123166402800821711 * c1291(3504712621......)

# ECM B1/B2=1e6/1e10, sigma=0:2291369907686196635

n=2635: c1885(2345356170......) = 2194788760902031593636501101503481431 * c1849(1068602232......)

# ECM B1/B2=1e6/1e10, sigma=0:9827259710631040773

n=2661: c1737(2583023459......) = 155407948222619842897805880538550021929 * c1699(1662092247......)

# ECM B1/B2=1e6/1e10, sigma=0:5749368582609494642

n=3236: c1604(4363795576......) = 816165129661426195891963291714151429 * c1568(5346706711......)

# ECM B1/B2=1e6/1e10, sigma=0:7619885555269722614

n=3613: c3539(2443435385......) = 2448448086802393796327723466130555538557 * c3499(9979527026......)

# ECM B1/B2=5e5/5e9, sigma=0:15882340543996275734

n=3676: c1793(9242254981......) = 8041430043439897434833884958187712601 * c1757(1149329774......)

# ECM B1/B2=5e5/5e9, sigma=0:8806488127749424302

n=3798: c1228(2688001800......) = 29760511623542740588982669298871555249 * c1190(9032108838......)

# ECM B1/B2=1e6/1e10, sigma=0:1877167363091971729

n=4088: c1644(2082595676......) = 646442323637092929420734282353615549195673 * c1602(3221626431......)

# ECM B1/B2=1e6/1e10, sigma=0:5184148238263765051

n=4118: c1916(8211325945......) = 330394369900021086020072907060618241 * c1881(2485310493......)

# ECM B1/B2=1e6/1e10, sigma=0:13623511393759459637

n=4370: c1557(7202235855......) = 14128748028322186653565715199847691 * c1523(5097575412......)

# ECM B1/B2=1e6/1e10, sigma=0:1698594672608226150

n=5416: c2640(4569515480......) = 90858490154284198472987468619281 * c2608(5029266359......)

# ECM B1/B2=1e6/1e10, sigma=0:809942175680112009

n=5870: c2314(1096788749......) = 137860731050755795579002257538812321 * c2278(7955773487......)

# ECM B1/B2=1e6/1e10, sigma=0:17413567260527118477

n=5936: c2485(6141039121......) = 562510456057155286756880722859963057 * c2450(1091719994......)

# ECM B1/B2=1e6/1e10, sigma=0:11300411264084552732

n=6627: c4260(2766032759......) = 124693842464559402922136303615004643 * c4225(2218259301......)

# ECM B1/B2=5e5/5e9, sigma=0:17742194411364281925

n=7320: c1851(1191197716......) = 55599085407982391342565313055075761 * c1816(2142477178......)

# ECM B1/B2=1e6/1e10, sigma=0:488775186943926820

n=7374: c2457(1098901098......) = 893982112453372849212793097644093 * c2424(1229220454......)

# ECM B1/B2=1e6/1e10, sigma=0:4373036703655549258

n=7407: c4866(2342776691......) = 222160363968260560405364510781403 * c4834(1054543056......)

# ECM B1/B2=5e5/5e9, sigma=0:6107567390824183359

n=8304: c2686(1459170144......) = 3262550679706921805274172270813852302241 * c2646(4472482691......)

# ECM B1/B2=1e6/1e10, sigma=0:16296595014505245593

n=8574: c2839(3964295458......) = 732296358846695125407377753436151333 * c2803(5413512454......)

# ECM B1/B2=1e6/1e10, sigma=0:17725621978331375198

n=8990: c3314(4605947162......) = 71179570046057785744167313690961 * c3282(6470883653......)

# ECM B1/B2=5e5/5e9, sigma=0:8802939404146823522

n=8992: c4448(7719473800......) = 3800583996489454269166097897509749889 * c4412(2031128323......)

# ECM B1/B2=5e5/5e9, sigma=0:8322436153843765185

n=9540L: c1241(9819146493......) = 104159682585751901368359362059981 * c1209(9427012688......)

# ECM B1/B2=5e5/5e9, sigma=0:10492435845804570231

n=9776: c4392(1833651220......) = 460235728957104179952284498967070790081 * c4353(3984156608......)

# ECM B1/B2=5e5/5e9, sigma=0:15681770269457649480

n=10656: c3428(4557538131......) = 26813643533113779689384799906508801 * c3394(1699708630......)

# ECM B1/B2=5e5/5e9, sigma=0:6584906758297095996

n=10790: c3929(1462995962......) = 287825094852409579527218700403418651 * c3893(5082934006......)

# ECM B1/B2=5e5/5e9, sigma=0:6732535914612643255

n=10920: c2290(2228237199......) = 27312924905262382258274094015938596801 * c2252(8158178619......)

# ECM B1/B2=1e6/1e10, sigma=0:7456626504657011078

n=11508: c3227(7674274973......) = 196614910943218702374630238067762681149 * c3189(3903200899......)

# ECM B1/B2=5e5/5e9, sigma=0:1348040394286344091

n=11880: c2859(1395752168......) = 52215022835803774625225264708602194001 * c2821(2673085430......)

# ECM B1/B2=1e6/1e10, sigma=0:14733830863355859003

n=15120: c3448(1030404855......) = 2643427694237402467084085988481 * c3417(3897987669......)

# ECM B1/B2=5e5/5e9, sigma=0:2914121863087225523

n=15960: c3442(1374154774......) = 50491809551731953109298802530426161 * c3407(2721539961......)

# ECM B1/B2=5e5/5e9, sigma=0:12954335696874099557

n=17598: c4994(1962268841......) = 24309903018142970045832361572651569557 * c4956(8071890867......)

# ECM B1/B2=5e5/5e9, sigma=0:13189339513756829197

n=21450: c4733(1024748704......) = 1633001438766457575700344002401 * c4702(6275246792......)

# ECM B1/B2=5e5/5e9, sigma=0:13091288480389684004

n=22140L: c2874(3927181227......) = 16607308187625101888303737299061 * c2843(2364730745......)

# ECM B1/B2=1e6/1e10, sigma=0:13758884321419032825

n=23900M: c4739(4678687813......) = 263548207114740367541371289178667001 * c4704(1775268314......)

# ECM B1/B2=5e5/5e9, sigma=0:662141472355712867

n=25620M: c2845(5080989902......) = 2463902775730988000120981900735581 * c2812(2062171426......)

# ECM B1/B2=1e6/1e10, sigma=0:17077253301629813143

n=26460M: c3016(3653605452......) = 410928447386360933327698633083061 * c2983(8891098865......)

# ECM B1/B2=5e5/5e9, sigma=0:10820663540271985854

July 3, 2025 2025 年 7 月 3 日 (Kurt Beschorner)

n=1630: c597(5721432892......) = 70602979026749241864529172224232850957491 * c556(8103670654......)

# ECM B1=30e6, sigma=3:3790441427

n=14947: c14877(2036301410......) = 10768396788032353628021587 * c14852(1890997750......)

# P-1 B1=140e6

n=188107: c188088(6564743405......) = 142988155863419107 * c188071(4591109918......)

n=188719: c188689(6716414560......) = 10829463886840500107 * c188670(6201982508......)

# gr-mfaktc

June 29, 2025 2025 年 6 月 29 日 (Keith Myers)

# via yoyo@home

n=1560: c358(3357526645......) = 108656831497374119645419435740256864429622885281 * c311(3090028118......)

# ECM B1=850000000, sigma=0:10063420144641816549

June 28, 2025 2025 年 6 月 28 日 (Kurt Beschorner)

n=184609: c184599(1348643601......) = 1564472097304599397 * c184580(8620438830......)

n=184949: c184927(1103826707......) = 500904644096733043 * c184909(2203666347......)

n=185123: c185116(1200402965......) = 2753652950916504569 * c185097(4359311020......)

n=185693: c185669(6012678916......) = 116741019534893947 * c185652(5150442355......)

n=185917: c185878(3007864765......) = 4032985847120245637 * c185859(7458158494......)

n=186049: c186042(1493035385......) = 9112517660974895689 * c186023(1638444435......)

n=186107: c186078(1297428668......) = 12032824278053703493 * c186059(1078241183......)

n=186157: c186131(5967490525......) = 724145948258859173 * c186113(8240729013......)

n=186259: c186236(6081016665......) = 8546221013473025879 * c186217(7115445125......)

n=186311: c186245(1354258315......) = 5628327329717383721 * c186226(2406147041......)

n=186397: c186362(2873312279......) = 97801727586278711 * c186345(2937895219......)

n=186727: c186704(1656982926......) = 1136507338051068079 * c186686(1457960605......)

n=187009: c186994(1343552349......) = 418585147319799557 * c186976(3209746830......)

n=187339: c187312(9439303334......) = 475551793310626009 * c187295(1984915937......)

n=187751: c187738(1754080885......) = 2646632528936098519 * c187719(6627595129......)

n=187843: c187832(4876667622......) = 14013106034834054039 * c187813(3480076159......)

# gr-mfaktc

June 22, 2025 2025 年 6 月 22 日 (Kurt Beschorner)

n=4204: c2062(4073751908......) = 23504220050916161862710973899137963881141682981 * c2016(1733200208......)

# ECM B1=11e6, sigma=3:1894358640

n=6408: c2063(6328266687......) = 14997617217656471604746186682930049930633 * c2023(4219514737......)

# ECM B1=1e6, sigma=3:4066264674

n=177839: c177818(1678623216......) = 113885452173361117 * c177801(1473957546......)

n=178021: c177993(8776680950......) = 14718947824410878161 * c177974(5962845343......)

n=178469: c178460(5053403659......) = 152206769695623787 * c178443(3320091261......)

n=178597: c178581(1306021577......) = 643303026215302283 * c178563(2030180995......)

n=178609: c178582(9046273329......) = 12558017060740140799 * c178563(7203584201......)

n=178939: c178932(6209437239......) = 3044120539618954613 * c178914(2039813193......)

n=179821: c179795(4634228046......) = 590250428757377719 * c179777(7851291283......)

n=179951: c179938(4797410291......) = 2813000519478283361 * c179920(1705442376......)

n=180371: c180339(2496037990......) = 161626810241788147 * c180322(1544321753......)

n=180617: c180596(5835635575......) = 5239347822233689067 * c180578(1113809537......)

n=181213: c181207(1532877854......) = 834862619794964707 * c181189(1836083946......)

n=181739: c181730(8491352240......) = 5232222002150994107 * c181712(1622896015......)

n=182057: c182047(4864574122......) = 3344826495484909493 * c182029(1454357686......)

n=182101: c182082(1055198509......) = 8851400396921359187 * c182063(1192126061......)

n=182341: c182325(1718714642......) = 4269834677233741079 * c182306(4025248686......)

n=182641: c182621(8065176078......) = 723150300239755877 * c182604(1115283513......)

n=182657: c182640(1003757640......) = 3564588172409810311 * c182621(2815914749......)

n=182713: c182696(4622180497......) = 17925320102905125329 * c182677(2578576265......)

n=182813: c182784(6210370754......) = 13123792712239226471 * c182765(4732146332......)

n=183871: c183850(5821662270......) = 2646547807898106347 * c183832(2199719292......)

n=183907: c183899(7949606048......) = 3068550671018567711 * c183881(2590671264......)

n=184487: c184481(1003783561......) = 1370318807038509677 * c184462(7325182696......)

n=184511: c184478(1475346330......) = 176972596136022719 * c184460(8336580704......)

n=184523: c184511(2420593687......) = 902597213038449121 * c184493(2681809397......)

# gr-mfaktc

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