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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

June 13, 2025 2025 年 6 月 13 日 (Torbjörn Granlund)

# via Kurt Beschorner

n=3280: c1281(1000000009......) = 1911252988713565481467511930631361 * c1247(5232169764......)

# ECM B1/B2=5e5/5e9, sigma=0:14869155166291194864

n=4197: c2763(1641725552......) = 186020642299970673243193105523869919839 * c2724(8825502011......)

# ECM B1/B2=5e5/5e9, sigma=0:3679422559654884866

n=4368: c1140(1070815389......) = 237754388415902495275482610318383240001 * c1101(4503872237......)

# ECM B1/B2=5e5/5e9, sigma=0:6790301644567458983

n=4440: c1117(1512767593......) = 29992347542578666403413713176798066161 * c1079(5043845237......)

# ECM B1/B2=5e5/5e9, sigma=0:10703124058579170610

n=4698: c1505(6475707968......) = 857112878757369149900856846983631918223 * c1466(7555256872......)

# ECM B1/B2=5e5/5e9, sigma=0:6725872645354457307

n=5160: c1290(3205928816......) = 18153208857510222275917029175950001 * c1256(1766039735......)

# ECM B1/B2=5e5/5e9, sigma=0:9344462103149422725

n=5798: c2654(4433454419......) = 729020901308483889226374187702561 * c2621(6081381770......)

# ECM B1/B2=5e5/5e9, sigma=0:2831118203243718097

n=6006: c1348(7436027400......) = 1646834339105310464972479528858436491 * c1312(4515346336......)

# ECM B1/B2=5e5/5e9, sigma=0:13060330855148394131

n=6393: c4199(3331868052......) = 1004383546315503999784081217023681 * c4166(3317326398......)

# ECM B1/B2=5e5/5e9, sigma=0:7017837466796483784

n=6630: c1517(2111584418......) = 21717867918556775397701006854682095582651 * c1476(9722797959......)

# ECM B1/B2=5e5/5e9, sigma=0:8681758383759537919

n=6952: c3092(8882409429......) = 266560402280626584335130714476824810081 * c3054(3332231401......)

# ECM B1/B2=5e5/5e9, sigma=0:10408360530165252536

n=7134: c2219(1345654937......) = 2345944430938521441265773138681703 * c2185(5736090418......)

# ECM B1/B2=5e5/5e9, sigma=0:6089803275547679665

n=7744: c3512(1434977955......) = 298657917027363699143682270414851319617 * c3473(4804754448......)

# ECM B1/B2=5e5/5e9, sigma=0:9718061344605056692

n=7852: c3566(7670574208......) = 1200500573989685291134651711870822309201 * c3527(6389479834......)

# ECM B1/B2=5e5/5e9, sigma=0:15817273137027888195

n=8752: c4327(7646803930......) = 75285275278784265466362543673199046209 * c4290(1015710429......)

# ECM B1/B2=5e5/5e9, sigma=0:2081434458332117129

n=10224: c3345(2324061596......) = 441711904555683022704848759749249 * c3312(5261487346......)

# ECM B1/B2=5e5/5e9, sigma=0:12299192684716804712

n=10598: c4530(2075862771......) = 3597922230838275107961604112166557 * c4496(5769615455......)

# ECM B1/B2=5e5/5e9, sigma=0:742802670757413020

n=10884: c3593(2907286634......) = 240052142002189932809080512172069 * c3561(1211106307......)

# ECM B1/B2=5e5/5e9, sigma=0:6432573676018707663

n=12744: c4177(1000000000......) = 2861264146060473813761789402641 * c4146(3494958692......)

# ECM B1/B2=5e5/5e9, sigma=0:14082982417874106156

n=12972: c4000(2908292846......) = 62706334422191443200648762090327781 * c3965(4637957031......)

# ECM B1/B2=5e5/5e9, sigma=0:1528717617120756122

n=13308: c4433(1009998990......) = 44299456880878064723974395106489 * c4401(2279935378......)

# ECM B1/B2=5e5/5e9, sigma=0:11041586529670737843

n=14208: c4590(3164895913......) = 1524771540331195381763459008075393 * c4557(2075652535......)

# ECM B1/B2=5e5/5e9, sigma=0:2035422395833494726

n=14694: c4614(5433906501......) = 1056204819917533482340750452584677 * c4581(5144746927......)

# ECM B1/B2=5e5/5e9, sigma=0:17497247928878312838

n=15378: c4600(2434465026......) = 2886748943617739444060148620598571801 * c4563(8433241248......)

# ECM B1/B2=5e5/5e9, sigma=0:13956240258883961480

n=16014: c4932(6888841006......) = 242908551381089331505792728157369 * c4900(2835981264......)

# ECM B1/B2=5e5/5e9, sigma=0:14403339319743946042

n=20140L: c3692(5233150285......) = 143345143759904598933230571447539621 * c3657(3650734268......)

# ECM B1/B2=5e5/5e9, sigma=0:6034086090293666680

n=27900M: c3539(6238365710......) = 2032503049742367293008194117618901 * c3506(3069302017......)

# ECM B1/B2=5e5/5e9, sigma=0:28749172868305296

n=28860L: c3414(1039047832......) = 1106363195614463302722409012483092901 * c3377(9391561804......)

# ECM B1/B2=5e5/5e9, sigma=0:8001343898439981042

n=32460M: c4253(2130298866......) = 44908811495485130347225966983421 * c4221(4743609985......)

# ECM B1/B2=5e5/5e9, sigma=0:8415941039710008822

n=32580M: c4294(2224015332......) = 123455996059303344865864899953967121 * c4259(1801464006......)

# ECM B1/B2=5e5/5e9, sigma=0:2065832344816608518

n=35220M: c4664(2022491022......) = 7677213175504365363125808691655641 * c4630(2634407793......)

# ECM B1/B2=5e5/5e9, sigma=0:8768250651617111724

n=36540M: c4021(3108810158......) = 95295257202978150042834073094761 * c3989(3262292636......)

# ECM B1/B2=5e5/5e9, sigma=0:13255250198072713356

June 10, 2025 2025 年 6 月 10 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=29387: c29387(1111111111......) = 283026108577015925490588767507677 * c29354(3925825489......)

# ECM B1=1e6, sigma=1645769116596359

n=50441: c50441(1111111111......) = 3003303332793295446604408033747 * x50410(3699630000......)

# ECM B1=1e6

n=50441: x50410(3699630000......) = 29068953242235993473605584803432399 * c50376(1272708366......)

# ECM B1=1e6

# 217078 of 300000 Φn(10) factorizations were cracked. 300000 個中 217078 個の Φn(10) の素因数が見つかりました。

# 20108 of 25997 Rprime factorizations were cracked. 25997 個中 20108 個の Rprime の素因数が見つかりました。

June 10, 2025 2025 年 6 月 10 日 (Kurt Beschorner)

n=1677: c989(1288422676......) = 3329328271060519212301311861135286599848131427868613 * c937(3869917808......)

# ECM B1=11e6, sigma=3:722961159

n=7039: c7039(1111111111......) = 7061891984345339432400084989612293 * c7005(1573390124......)

# ECM B1=1e6, sigma=0:3470511025661750

n=174019: c173983(6395886750......) = 642473660430743573 * c173965(9955095662......)

n=174599: c174593(3181885146......) = 287440556512301483 * x174576(1106971536......)

n=174599: x174576(1106971536......) = 595241352743125631 * c174558(1859702004......)

n=174617: c174604(3756377691......) = 750851192807631919 * c174586(5002825763......)

n=175481: c175475(3165892447......) = 9232764159647605991 * c175456(3428975757......)

n=175493: c175482(2986016381......) = 119494346887610203 * c175465(2498876691......)

n=175519: c175496(1700347507......) = 229518562061427707 * x175478(7408322415......)

n=175519: x175478(7408322415......) = 1474570169908051427 * c175460(5024055529......)

n=176041: c176029(1739627542......) = 523016264160476627 * c176011(3326144256......)

n=176129: c176110(8214240529......) = 17437340604163989133 * c176091(4710718633......)

n=176353: c176332(2033780207......) = 1355686515829697209 * c176314(1500184728......)

n=176369: c176305(2977240599......) = 72453751077374671 * x176288(4109160057......)

n=176369: x176288(4109160057......) = 4911696122605228111 * c176269(8366071424......)

n=176467: c176451(2934579226......) = 2300767223861150173 * c176433(1275478542......)

n=176807: c176797(5779213069......) = 591608020926242363 * c176779(9768652325......)

n=176809: c176785(2326013054......) = 8278329203428490267 * c176766(2809761483......)

n=176989: c176956(1043049384......) = 15297192370190394173 * c176936(6818567482......)

n=177109: c177085(2283598301......) = 188486014050640679 * c177068(1211547876......)

# gr-mfaktc

June 10, 2025 2025 年 6 月 10 日 (PjaGtS6GgBR3EXyfKHVJAq961Tm)

# yoyo@home

n=695: c502(7351683669......) = 354710359182835645091947493448582656163487512993191 * c452(2072587811......)

# ECM B1=260000000, sigma=0:1319347618569068982

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