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August 29, 2010 2010 年 8 月 29 日 (Kurt Beschorner)

n=10341: c6876(9999999990......) = 13571974876099840319359 * c6854(7368124448......)

n=10383: c6885(1222589349......) = 705038081514743721032683 * c6861(1734075621......)

n=10767: c6913(1109999999......) = 2116117951326445671961963 * x6888(5245454296......)

n=10767: x6888(5245454296......) = 6259800872659903950605347483 * c6860(8379586512......)

n=12900M: c1681(1010050099......) = 1126643298828643700234551817529041101 * c1644(8965127656......)

# 1126643298828643700234551817529041101 is the largest known factor that appears after n=12580L.

Largest known factors that appear after the previous one
  1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  2  n=1060L: 1866584856050670751142049533200645741569755944852998334484263922627299824538001 (Edwards and King / Feb 16, 2010)
  3  n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007)
  4  n=1860L: 1891014345342089253412148254805092014919223493735583702021 (Yousuke Koide / Aug 14, 2010)
  5  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  6  n=7140L: 154171650837800469380227217503464603601 (Yousuke Koide / Jun 1, 2007)
  7  n=8460M: 32392612190601505925687792712748935421 (Yousuke Koide / Jan 14, 2008)
  8  n=12580L: 28023250907119295576858038564333784221 (Kurt Beschorner / Jul 20, 2010)
  9  n=12900M: 1126643298828643700234551817529041101 (Kurt Beschorner / Aug 29, 2010)
  10  n=44666: 41824405819036936327873267050242047 (Alfred Reich / Aug 9, 2010)
  11  n=70140M: 461904211182554850127110960541 (Alfred Reich / Apr 26, 2010)
  12  n=99380M: 6592290434322258947071767721 (Alfred Reich / Apr 26, 2010)
  13  n=99874: 20466106492496275108462693 (Alfred Reich / Mar 29, 2010)
  14  n=99940M: 17594820928226575015141 (Alfred Reich / Dec 2008)
  15  n=99992: 371044131599480009569 (Alfred Reich / Jun 17, 2010)
  16  n=99999: 821893328984521 (Alfred Reich / Jul 28, 2008)
  17  n=100000: 66489400001 (Kurt Beschorner / Mar 13, 2008)

August 27, 2010 2010 年 8 月 27 日 (Maksym Voznyy)

# Maksym Voznyy's web page have been moved. The new page is: http://individual.utoronto.ca/mvoznyy/

August 24, 2010 2010 年 8 月 24 日 (Kurt Beschorner)

n=10299: c6806(2277445670......) = 560329115747036977072441 * x6782(4064478547......)

n=10299: x6782(4064478547......) = 844557316340579097055237 * c6758(4812555014......)

n=10569: c6451(3807994777......) = 549381248351554725679 * c6430(6931424741......)

n=11271: c6513(9107706978......) = 10975734998808425119 * c6494(8298038336......)

n=11277: c6401(4992397449......) = 758920066855065156763 * c6380(6578291531......)

August 22, 2010 2010 年 8 月 22 日 (Kurt Beschorner)

n=10287: c6779(3771202486......) = 16874582942247247116973 * c6757(2234841891......)

n=10449: c6770(1721084518......) = 153887156279404365030373 * c6747(1118406863......)

n=10863: c6712(9828044831......) = 11188260445106640983671 * c6690(8784247452......)

n=10959: c6715(2025728577......) = 734337719045289981961 * c6694(2758578955......)

August 20, 2010 2010 年 8 月 20 日 (Alfred Reich)

n=7784: c3288(7340687710......) = 2834278778744573810273127918507017 * c3255(2589966719......)

n=12150: c3188(1943913819......) = 33671237692047955201 * c3168(5773217596......)

n=12292: c5235(2802903484......) = 76450473305598476869 * c5215(3666299714......)

n=12560: c4972(6951814644......) = 2608819689539633255041 * c4951(2664735578......)

n=12768: c3424(1023759836......) = 2241549213434896917217 * c3402(4567197678......)

n=12806: c6042(1493864765......) = 148331454472206557 * c6025(1007112598......)

n=14162: c6904(3259311186......) = 6175209187858143265139 * c6882(5278057936......)

n=17242: c8339(6748124633......) = 177185865532965607 * c8322(3808500533......)

n=17270: c6220(7831883220......) = 95537452043138409481 * c6200(8197709958......)

n=17272: c8065(1000099999......) = 7007156967305993 * c8049(1427255026......)

n=17342: c7385(2406856767......) = 330231412514665169 * c7367(7288394368......)

n=17432: c8703(4481112159......) = 5810083533829160393 * x8684(7712646699......)

n=17432: x8684(7712646699......) = 1537041717714837899969 * c8663(5017851246......)

n=17488: c8707(1915632188......) = 2980461002398577 * c8691(6427301640......)

n=17510: c6507(1580995600......) = 33477647558038732334491 * c6484(4722540907......)

n=18638: c9308(8723168092......) = 8545227365924055071983849 * c9284(1020823404......)

n=18646: c9301(2171109738......) = 97537679772491394979 * c9281(2225918991......)

n=18694: c8617(1099999999......) = 11378838637245899 * c8600(9667067396......)

n=18716: c9339(1743625410......) = 38410426532221 * c9325(4539458599......)

n=18734: c8064(9090909090......) = 394163081510222710717 * c8044(2306382692......)

n=18738: c6171(2874698079......) = 1025326423600125013 * c6153(2803690623......)

n=18792: c6031(1341149209......) = 260868325359784537 * c6013(5141096403......)

n=22164: c7372(7468953895......) = 6765340009303356421 * c7354(1104002738......)

n=22198: c10081(1099999999......) = 9644780571997314437 * c10062(1140513246......)

n=22322: c11127(6197459587......) = 17033747976200419 * c11111(3638341717......)

n=22360: c8059(7452985666......) = 90148081811526961 * c8042(8267492237......)

n=22428: c6321(5809754917......) = 893245096732309021 * c6303(6504099422......)

n=22492: c11244(9900990099......) = 6848431606685423705221 * c11223(1445731032......)

n=22548: c7493(4878485813......) = 121494772278064609 * c7476(4015387429......)

n=22598: c11273(3734022797......) = 16490599799329 * c11260(2264334131......)

n=23008: c11470(8004551790......) = 2249877971856769 * c11455(3557771528......)

n=23544: c7771(2123678806......) = 1199409113094697 * c7756(1770604194......)

n=23570: c9425(1099989000......) = 665241240329568841 * c9407(1653518954......)

n=23592: c7819(8765221972......) = 266464683185000449 * c7802(3289449794......)

n=23890: c9533(1503246850......) = 1928678881797881 * c9517(7794179034......)

n=23934: c7977(1098901098......) = 1626121490595818863 * c7958(6757804415......)

August 18, 2010 2010 年 8 月 18 日 (Kurt Beschorner)

n=6943: c6756(3240557375......) = 962050948559708440715209 * c6732(3368384367......)

n=10071: c6689(4186129899......) = 183661680344948633791 * c6669(2279261461......)

n=10191: c6553(1109999999......) = 1218169459539059615700991 * c6528(9112032741......)

n=10465: c6328(4816410378......) = 19985387040198273941521 * c6306(2409966026......)

August 16, 2010 2010 年 8 月 16 日 (Alfred Reich)

n=12178: c6065(5455933680......) = 685222418409111710717 * c6044(7962281346......)

n=12218: c5904(1006058886......) = 1137747784110053703343 * c5882(8842547538......)

n=15030: c3951(1436744690......) = 19510587138286537994521 * c3928(7363923393......)

n=15188: c7581(5852407039......) = 8186095371684852403169 * c7559(7149204564......)

n=18648: c5184(9999999999......) = 5742755777555497 * c5169(1741324267......)

n=18654: c6211(8415603572......) = 15345048435861000847 * c6192(5484246991......)

n=22060L: c4374(1171086599......) = 21713252105872754461 * x4354(5393418699......)

n=22060L: x4354(5393418699......) = 564501056655193333578341 * x4330(9554311079......)

n=22060L: x4330(9554311079......) = 379734028873536797744282021 * c4304(2516053435......)

n=22300L: c4424(3637097950......) = 16935083847181371753404801 * c4399(2147670471......)

n=22340L: c4447(8503957159......) = 1017107149496080116361 * c4426(8360925555......)

n=22540L: c3662(1447360783......) = 65381641598771220819881 * c3639(2213711293......)

n=22700L: c4521(1010050200......) = 9455294956384426301 * c4502(1068237644......)

n=23120: c8705(1000000000......) = 99491422665121 * c8691(1005111770......)

n=23780L: c4411(8202592388......) = 1918983759848746017881 * c4390(4274445964......)

n=23858: c11666(2315989154......) = 16603307144257739 * c11650(1394896290......)

n=23898: c6796(6920795084......) = 28481127972893863 * c6780(2429958213......)

n=23900L: c4732(2788318107......) = 1768986379915526245352201 * c4708(1576223615......)

n=23900M: c4760(9900498007......) = 2116084338827167432001 * c4739(4678687813......)

n=23960: c9560(2107462414......) = 651830535365811408961 * c9539(3233144659......)

n=23980L: c4307(3146318602......) = 45964331469131131465747801 * c4281(6845130783......)

n=66022: c30001(1099999999......) = 58683403804185931 * c29984(1874465229......)

n=34012: c15441(1009999999......) = 2654925677479354709 * c15422(3804249620......)

n=34134: c11377(1098901098......) = 398527752637181659 * c11359(2757401690......)

n=34160: c11511(1168706908......) = 60008028384161761 * c11494(1947584248......)

n=34178: c16310(9621607162......) = 13523280810959441 * c16294(7114846830......)

n=34210: c12396(2657332436......) = 95410033004441 * c12382(2785170860......)

n=34244: c14665(1009999999......) = 287713024661827864709 * c14644(3510442397......)

n=34246: c17115(1340702026......) = 480184563665322319106722357 * c17088(2792055655......)

n=34268: c15778(1392863495......) = 1086644258429549 * c15763(1281802654......)

n=34288: c17136(9999999900......) = 304028203630049 * c17122(3289168498......)

n=34304: c16876(9066871569......) = 643471229453102593 * c16859(1409056249......)

n=34374: c10710(1477185146......) = 17589772773259 * c10696(8397977425......)

n=34376: c17140(7959418698......) = 17416128486306377 * c17124(4570142385......)

n=34392: c11457(1000099999......) = 67113047140081 * c11443(1490172243......)

n=34438: c16887(5713831347......) = 2457257975481953213 * c16869(2325287537......)

n=34494: c11484(6620584108......) = 5211153715988569 * c11469(1270464175......)

n=34512: c11479(2553553693......) = 70348079570342597204017 * c11456(3629884013......)

n=34548: c11471(5886042743......) = 431531896318699261 * c11454(1363987875......)

n=34550: c13787(1478746421......) = 24496198310851 * c13773(6036636389......)

n=34568: c16547(5346835561......) = 7971926490449 * c16534(6707080864......)

n=34576: c17271(3470046332......) = 27640231177299188641 * c17252(1255433180......)

n=34602: c11225(2565761669......) = 384986232993823 * c11210(6664554339......)

n=34618: c16361(8260439118......) = 693448924283449 * c16347(1191210892......)

n=34646: c16256(8045285762......) = 260960464902637 * c16242(3082951957......)

n=34690: c13873(1099989000......) = 1680798706283439061411 * c13851(6544442210......)

n=34696: c17337(8786244444......) = 584874350191580377 * c17320(1502244788......)

n=34862: c17413(1145247361......) = 1633970918553011 * c17397(7008982524......)

August 15, 2010 2010 年 8 月 15 日 (Kurt Beschorner)

n=6913: c6651(7846427715......) = 74694025191112819489213 * c6629(1050475951......)

n=10317: c6481(1109999999......) = 1594600098923078569237 * c6459(6960992920......)

August 14, 2010 2010 年 8 月 14 日 (Yousuke Koide)

# The eighth smallest composite in Phin10.txt was factored.

n=1860L: c166(2514510509......) = 1891014345342089253412148254805092014919223493735583702021 * p109(1329715195......)

# ECM B1=12e7, sigma=2003232023

# 1891014345342089253412148254805092014919223493735583702021 is the largest known factor that appears after n=1220M.

Largest known factors that appear after the previous one
  1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  2  n=1060L: 1866584856050670751142049533200645741569755944852998334484263922627299824538001 (Edwards and King / Feb 16, 2010)
  3  n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007)
  4  n=1860L: 1891014345342089253412148254805092014919223493735583702021 (Yousuke Koide / Aug 14, 2010)
  5  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  6  n=7140L: 154171650837800469380227217503464603601 (Yousuke Koide / Jun 1, 2007)
  7  n=8460M: 32392612190601505925687792712748935421 (Yousuke Koide / Jan 14, 2008)
  8  n=12580L: 28023250907119295576858038564333784221 (Kurt Beschorner / Jul 20, 2010)
  9  n=44666: 41824405819036936327873267050242047 (Alfred Reich / Aug 9, 2010)
  10  n=70140M: 461904211182554850127110960541 (Alfred Reich / Apr 26, 2010)
  11  n=99380M: 6592290434322258947071767721 (Alfred Reich / Apr 26, 2010)
  12  n=99874: 20466106492496275108462693 (Alfred Reich / Mar 29, 2010)
  13  n=99940M: 17594820928226575015141 (Alfred Reich / Dec 2008)
  14  n=99992: 371044131599480009569 (Alfred Reich / Jun 17, 2010)
  15  n=99999: 821893328984521 (Alfred Reich / Jul 28, 2008)
  16  n=100000: 66489400001 (Kurt Beschorner / Mar 13, 2008)

August 13, 2010 2010 年 8 月 13 日 (Kurt Beschorner)

n=10923: c6601(1109999999......) = 713061231821456597641 * c6580(1556668558......)

n=11151: c6259(1446418163......) = 9483955057084093237 * x6240(1525121276......)

n=11151: x6240(1525121276......) = 1742372930978192184899347 * c6215(8753127696......)

August 9, 2010 2010 年 8 月 9 日 (Alfred Reich)

# 463 prime factors and 1 (probable) prime cofactor

n=19780L: c3697(2796100000......) = 561058006145661348309682561 * c3670(4983620177......)

n=22420L: c4132(1285276373......) = 966691211608649341 * c4114(1329562488......)

n=34398: c9043(4077151713......) = 3146740439556949327 * c9025(1295674616......)

n=34040: c12667(1129778179......) = 4013920022534914995521 * c12645(2814650449......)

n=34050: c9035(1174729897......) = 277279723069801 * c9020(4236623885......)

n=34074: c11318(3338521033......) = 660388515035113473841 * c11297(5055389301......)

n=34090: c11664(9091000909......) = 60522592793881 * c11651(1502083848......)

n=34092: c11353(1000000999......) = 624421880292601 * c11338(1601482958......)

n=34108: c17022(1916216519......) = 40281410033141 * c17008(4757074088......)

n=34114: c16548(4877227618......) = 151677153896011 * c16534(3215532130......)

n=34132: c13695(5016156305......) = 27105203826149 * c13682(1850624823......)

n=34144: c15324(2750895373......) = 3090025381492897 * c15308(8902500897......)

n=34146: c9683(1650468473......) = 13599174429290899 * c9667(1213653433......)

n=34168: c17062(4829796058......) = 5106311908074161 * c17046(9458482257......)

n=34178: c16325(1099999999......) = 114326014506287 * c16310(9621607162......)

n=34206: c11382(4827438639......) = 71564145052303 * c11368(6745610718......)

n=34216: c13244(2922231668......) = 231694595889121 * c13230(1261242912......)

n=34226: c16849(1099999999......) = 77690218904149807 * c16832(1415879650......)

n=34250: c13591(4283043653......) = 15071166074070816001 * c13572(2841879408......)

n=34278: c10971(2413415407......) = 4452517147965157 * p10955(5420339387......)

PFGW Version 3.3.4.20100405.Win_Stable [GWNUM 25.14]

No factoring at all, not even trivial division
Primality testing 5420339387...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.05% and helper 0.04% (0.20% proof)
5420339387...... is Fermat and Lucas PRP! (57.6464s+0.0223s)

n=34296: c11415(1214629918......) = 699972508805220793 * c11397(1735253746......)

n=34304: c16890(4048764944......) = 44654486539777 * c16876(9066871569......)

n=34334: c17159(7951309172......) = 29330391016450859 * c17143(2710945506......)

n=34350: c9103(8946431956......) = 99069365741851 * c9089(9030472628......)

n=34354: c16897(1099999999......) = 209024109438769 * c16882(5262550827......)

n=34358: c16710(3999369571......) = 271967327766767 * c16696(1470533098......)

n=34366: c17178(2645243719......) = 768916018466751490207 * c17157(3440224492......)

n=34374: c10728(2248793714......) = 1522350613987247641 * c10710(1477185146......)

n=34376: c17158(3962869357......) = 497884268554490953 * c17140(7959418698......)

n=34386: c10392(3888371818......) = 486232663619463114223 * c10371(7996936671......)

n=34410: c8619(5786440747......) = 1140366105585691 * c8604(5074195663......)

n=34440: c7671(2488253036......) = 8094433957681 * c7658(3074029697......)

n=34472: c16525(6416582911......) = 29805376128785015201 * c16506(2152827357......)

n=34476: c9984(9999999999......) = 8496378348901 * c9972(1176972068......)

n=34480: c13745(1275846946......) = 745492229068142561 * c13727(1711415487......)

n=34482: c9840(9100000909......) = 12369808168579 * c9827(7356622500......)

n=34496: c13420(2091072563......) = 28435018579969 * c13406(7353863889......)

n=34508: c17252(9900990099......) = 85819284896549212709 * c17233(1153702237......)

n=34518: c10424(2176216794......) = 76870656075793455460250851681 * c10395(2831011084......)

n=34528: c15737(1073859901......) = 45958598180671489 * c15720(2336581062......)

n=34568: c16577(1000099999......) = 187045213656606295921614241913 * c16547(5346835561......)

n=34570: c13798(4612844208......) = 259306956546902312401 * c13778(1778912633......)

n=34586: c17285(3285617288......) = 221091128547486653 * c17268(1486091870......)

n=34592: c16193(1000000000......) = 4549689844729082561 * c16174(2197952023......)

n=34628: c15721(1009999999......) = 97232505379021 * c15707(1038747274......)

n=34632: c10311(2321408427......) = 15650457561649 * c10298(1483284701......)

n=34646: c16274(1156894981......) = 143797873182629371 * c16256(8045285762......)

n=34648: c16801(1000099999......) = 33286088603993 * c16787(3004558486......)

n=34656: c10920(9969079214......) = 6861238096033 * c10908(1452956314......)

n=34666: c17327(4370692409......) = 284699022498478649 * c17310(1535197546......)

n=34680: c8704(9999999999......) = 110840882905201 * c8690(9021941848......)

n=34694: c14760(9090909091......) = 4657613052863 * c14748(1951838632......)

n=34704: c11508(3041381139......) = 6691813826833 * c11495(4544927905......)

n=34726: c17078(1323925816......) = 264496034380321087 * c17060(5005465657......)

n=34748: c13813(3474292506......) = 38803896870132101 * c13796(8953462891......)

n=34754: c17376(9090909090......) = 6104338923099340691 * c17358(1489253661......)

n=34768: c16641(1000000009......) = 29793463349186744683199920961 * c16612(3356440969......)

n=34778: c17383(5227935368......) = 107989792280495144709121 * c17360(4841138461......)

n=34790: c11760(9999999000......) = 285347100419851 * c11746(3504503457......)

n=34792: c17381(2851511141......) = 282096285139179602953 * c17361(1010829029......)

n=34796: c17384(3720099311......) = 539349324172145789 * c17366(6897383838......)

n=34806: c11581(5302020205......) = 5263673799370099 * c11566(1007285103......)

n=34814: c15897(3189878010......) = 6434123662878826866407 * c15875(4957750546......)

n=34816: c16384(9999999999......) = 15828506288129 * c16371(6317715530......)

n=34822: c16610(2279862451......) = 158210212449642011 * c16593(1441033682......)

n=34826: c15821(1099999999......) = 6127900301035350289 * c15802(1795068369......)

n=34836: c11609(1009998990......) = 2610833375122261 * c11593(3868492718......)

n=34854: c11219(1284121455......) = 10371770664226957 * c11203(1238092797......)

n=34858: c16801(1099999999......) = 100396650813397 * c16787(1095654079......)

n=34862: c17430(9090909090......) = 793794371157821237 * c17413(1145247361......)

n=34868: c16620(3750860658......) = 5896260425989 * c16607(6361422982......)

n=34878: c11625(1098901098......) = 489040667326327 * c11610(2247054636......)

n=34886: c17442(9090909090......) = 226299209156228886129371 * c17419(4017207627......)

n=34890: c9288(6876412479......) = 6353207657850601 * c9273(1082352860......)

n=34910: c13961(1099989000......) = 7991026875331 * c13948(1376530222......)

n=34938: c11587(5549683240......) = 1869872186149489 * c11572(2967947906......)

n=34942: c17470(9090909090......) = 1881355401477264721 * c17452(4832106195......)

n=34952: c16385(1000099999......) = 67928516846068217 * c16368(1472282991......)

n=34970: c12857(2461796191......) = 4624977667571 * c12844(5322828278......)

n=34982: c17490(9090909090......) = 3436517467268201 * c17475(2645384223......)

n=35030: c13434(8110005611......) = 4802469622211 * c13422(1688715650......)

n=35048: c16120(2229308728......) = 17610005515982881 * x16104(1265933009......)

n=35048: x16104(1265933009......) = 149187491102216321 * x16086(8485517120......)

n=35048: x16086(8485517120......) = 3669670487302050937889 * c16065(2312337619......)

n=35072: c17408(9999999999......) = 11967768668161 * c17395(8355776483......)

n=35086: c17141(9542026307......) = 28084383376729 * c17128(3397627136......)

n=35090: c12320(9999999999......) = 45767649510881 * c12307(2184949436......)

n=35138: c17557(3272411974......) = 191812258276957 * c17543(1706049448......)

n=35152: c16214(1586781571......) = 278814160949750255844303953 * c16187(5691179980......)

n=35176: c17584(9999000099......) = 4687015466683675383064297 * c17560(2133340538......)

n=35186: c17263(4125957011......) = 1232406011795201428771 * c17242(3347887767......)

n=35188: c16633(1009999999......) = 351913800180529621 * c16615(2870021009......)

n=35230: c12948(4146039970......) = 1145641860784257721 * c12930(3618966897......)

n=35236: c16809(1009999999......) = 14870150966172428381881 * c16786(6792130102......)

n=35262: c11729(2405355343......) = 15564601643523210253 * c11710(1545401159......)

n=35270: c14105(1099989000......) = 3404464810812001 * c14089(3231018856......)

n=35274: c11744(4448779441......) = 9425651068656157 * c11728(4719864345......)

n=35280: c8059(4724089549......) = 6112993259521 * c8046(7727948239......)

n=35296: c17623(2116985025......) = 48056649548551489 * c17606(4405186473......)

n=35314: c17656(9090909090......) = 6545252391587807 * c17641(1388931785......)

n=35318: c17643(2282560494......) = 55094055642877 * c17629(4143024991......)

n=35324: c17627(3969163933......) = 6480259331101 * c17614(6125007859......)

n=35332: c15841(1000000000......) = 91200113049761 * c15827(1096489868......)

n=35352: c11756(2828614261......) = 42152657204953 * c11742(6710405581......)

n=35374: c16880(6285366603......) = 133111300052533474536967 * c16857(4721888074......)

n=35388: c11785(1000000999......) = 1735272824189041 * c11769(5762788341......)

n=35390: c14153(1099989000......) = 11260570793895961 * c14136(9768501261......)

n=35396: c17696(9900990099......) = 2095447046164048081 * c17678(4725001339......)

n=35398: c16068(4447996041......) = 3567457767127 * c16056(1246825143......)

n=35418: c11779(5853594371......) = 959042679524887 * c11764(6103580681......)

n=35422: c17420(3105327047......) = 2160630971749958731 * c17402(1437231571......)

n=35436: c11809(1009998990......) = 2866752005448049 * c11793(3523147408......)

n=35442: c10680(9990010000......) = 369342552311371 * c10666(2704808838......)

n=35448: c10072(6354475182......) = 3300293088502537 * c10057(1925427533......)

n=35452: c17724(9900990099......) = 43246309882889 * c17711(2289441602......)

n=35488: c17728(9999999999......) = 3235804960417 * c17716(3090421123......)

n=35502: c11495(6617789758......) = 103980853747059332023 * c11475(6364431066......)

n=35514: c11827(9395267629......) = 46550926742491 * c11814(2018277247......)

n=35532: c9925(3669573716......) = 1456687760016889 * c9910(2519121679......)

n=35536: c17745(1565530610......) = 681730415907649 * c17730(2296407163......)

n=35548: c17772(9900990099......) = 262956624720589 * c17758(3765256003......)

n=35562: c11853(1098901098......) = 130387892864423011 * c11835(8427938167......)

n=35568: c10349(8386216167......) = 61501462122673 * c10336(1363579966......)

n=35574: c9228(1184877300......) = 12482986147171 * c9214(9491937960......)

n=35578: c17783(1597000449......) = 234999135274903 * c17768(6795771601......)

n=35594: c15975(1439089393......) = 47273189130332491053521 * c15952(3044197821......)

n=35628: c11860(3683693170......) = 3368581010063809 * c11845(1093544480......)

n=35636: c17392(5584655326......) = 130216488775241369 * c17375(4288746670......)

n=35662: c16201(1099999999......) = 28215269390419 * c16187(3898598254......)

n=35676: c11881(1000000999......) = 112235060362429 * c11866(8909880716......)

n=35688: c11882(9663240746......) = 849397620632740801 * c11865(1137658089......)

n=35692: c17844(9900990099......) = 1341118623141698689 * c17826(7382635605......)

n=35748: c11851(5874566580......) = 30704591369521 * c11838(1913253464......)

n=35772: c10784(1301866887......) = 618989870559721 * c10769(2103211941......)

n=35776: c16102(1542668843......) = 238704698322689 * c16087(6462666443......)

n=35796: c11221(2336775169......) = 47860055520329161 * c11204(4882516628......)

n=35804: c17885(1624086494......) = 33181376584789 * x17871(4894572381......)

n=35804: x17871(4894572381......) = 901550076605222671421 * c17850(5429063242......)

n=35818: c17893(2772985347......) = 824464003668571092123961 * c17869(3363379523......)

n=35834: c15799(5479700633......) = 26221495927000161710863 * c15777(2089774225......)

n=35844: c11424(9901000000......) = 1592368304679105601 * c11406(6217782639......)

n=35848: c17899(2012703593......) = 82950374609453041 * c17882(2426394820......)

n=35854: c14102(2960352252......) = 19411890362411 * c14089(1525020076......)

n=35858: c17923(1810891170......) = 85464449319459103 * c17906(2118882394......)

n=35868: c10076(2787922718......) = 631815147833521 * c10061(4412560743......)

n=35886: c11933(1781802768......) = 43939134950407 * x11919(4055161237......)

n=35886: x11919(4055161237......) = 5446613442947942917 * c11900(7445289225......)

n=35898: c11511(1008762710......) = 67487165840658541531 * c11491(1494747479......)

n=35928: c11953(1000000000......) = 1041561416271765673 * c11934(9600970085......)

n=35930: c14343(1294390851......) = 2731388316134981851 * c14324(4738948480......)

n=35946: c11969(4902698090......) = 131551806434131 * c11955(3726819283......)

n=35968: c17885(3906547858......) = 716972714135809 * c17870(5448670195......)

n=35994: c10259(3861510341......) = 63297483900633361 * c10242(6100574783......)

n=36008: c15401(7935537504......) = 957789689843135986537 * c15380(8285260938......)

n=36018: c11073(1705241351......) = 25933108574251 * c11059(6575537777......)

n=36052: c18024(9900990099......) = 85761794931221 * c18011(1154475615......)

n=36066: c12011(1484129097......) = 29210869473785053 * c11994(5080742629......)

n=36076: c17336(1381246725......) = 407415344721601 * c17321(3390266820......)

n=36082: c18014(2151535655......) = 5229910923407971 * c17998(4113904971......)

n=36098: c18034(5970824484......) = 669764200392967 * c18019(8914815813......)

n=36102: c10914(3452924684......) = 86351532185903183893 * c10894(3998683748......)

n=36112: c17281(1000000009......) = 3950356418018513 * c17265(2531417179......)

n=36138: c11347(3592914801......) = 1621032764560903 * c11332(2216435645......)

n=36142: c16993(1099999999......) = 49883129343973 * c16979(2205154356......)

n=36162: c10075(5530636963......) = 8529321417373 * c10062(6484263744......)

n=36168: c10868(7789087230......) = 3165567139265257 * c10853(2460566112......)

n=36182: c17785(1099999999......) = 29086316863481 * c17771(3781846994......)

n=36228: c12038(7683392364......) = 8307610078538461 * c12022(9248619389......)

n=36230: c14474(1060928451......) = 20359731842360358601 * c14454(5210915642......)

n=36292: c17641(1009999999......) = 62765686801561 * c17627(1609159481......)

n=36316: c15547(9270392569......) = 2747495417768389 * c15532(3374124851......)

n=36332: c17482(6552515278......) = 17047831835201 * c17469(3843606238......)

n=36338: c18155(5708022321......) = 225133835360893 * c18141(2535390698......)

n=36344: c13906(6839507351......) = 8808332179525649 * c13890(7764815418......)

n=36348: c11136(9901000000......) = 27566924250529 * c11123(3591623029......)

n=36374: c16752(2125845820......) = 435799999045340333 * c16734(4878030805......)

n=36412: c18184(2788458835......) = 255206283522301 * c18170(1092629380......)

n=36418: c17927(5363080074......) = 83551686289545847 * c17910(6418877120......)

n=36428: c15601(1009999999......) = 9670573617349 * c15588(1044405471......)

n=36454: c16561(1099999999......) = 813916499023321 * c16546(1351489988......)

n=36504: c11233(1000000000......) = 1608299017993513 * c11217(6217749241......)

n=36510: c9707(4557005426......) = 211772172151067131 * c9690(2151843360......)

n=36576: c12097(1000000000......) = 999800015990880673 * c12079(1000200024......)

n=36612: c12097(1000000000......) = 64095428864715049 * c12080(1560173662......)

n=36626: c18302(2344546540......) = 51324128575372339 * c18285(4568117581......)

n=36632: c17281(1000099999......) = 50669672425343572849 * c17261(1973764486......)

n=36634: c16889(6613821431......) = 60492400000198401197 * c16870(1093330969......)

n=36648: c12178(5810399165......) = 11974167310222947647593 * c12156(4852445280......)

n=36688: c18336(9999999900......) = 459395020851953 * c18322(2176775856......)

n=36694: c15721(1099999890......) = 8878309873993478339 * c15702(1238974428......)

n=36696: c11011(4711460919......) = 64363748438881 * c10997(7320053653......)

n=36708: c9490(3844717398......) = 7115393740981 * c9477(5403379683......)

n=36714: c11751(1388122979......) = 96081674849011 * c11737(1444732287......)

n=36724: c18351(2316894579......) = 574065248339501 * c18336(4035942928......)

n=36728: c18360(9999000099......) = 28445271857921 * c18347(3515171220......)

n=36738: c11228(2719183973......) = 610896253647895881823 * c11207(4451138728......)

n=36752: c18345(1888261473......) = 121674696488593 * c18331(1551893309......)

n=36754: c16192(9090909090......) = 30652738013837 * c16179(2965773917......)

n=36756: c12226(2984784665......) = 16827294274575506569 * c12207(1773775758......)

n=36762: c11120(9100000000......) = 20752800234087703 * c11104(4384950415......)

n=36772: c17676(1138019842......) = 294421328626781 * c17661(3865276497......)

n=36774: c12176(1069197994......) = 7600900764727 * c12163(1406672745......)

n=36778: c15116(2471766497......) = 1247900859061992493 * c15098(1980739478......)

n=36816: c11136(9999999900......) = 70762252058245298311489 * c11114(1413182821......)

n=36824: c18402(3771316234......) = 39629366128587362609 * c18382(9516468726......)

n=36840: c9775(2045421570......) = 54691144161021333587521 * c9752(3739950227......)

n=36850: c13151(4583946867......) = 27187623887051 * c13138(1686041739......)

n=36896: c18423(4427833070......) = 32709971699201 * c18410(1353664598......)

n=36902: c18440(4285692497......) = 35317531304753566006681 * c18418(1213474537......)

n=36906: c12294(1119386202......) = 7494819968307853 * c12278(1493546485......)

n=36936: c11657(2506838593......) = 229178752079342473 * c11640(1093835519......)

n=36944: c18458(9022656703......) = 9688958482120961 * c18442(9312308149......)

n=36952: c17747(9765755044......) = 25867736074720369 * c17731(3775264683......)

n=36970: c14785(1099989000......) = 648039485869042832699161 * c14761(1697410457......)

n=36972: c11210(1502212545......) = 31305455326549 * c11196(4798564755......)

n=36974: c14904(9090910000......) = 204608186553569 * c14890(4443082240......)

n=36992: c17408(9999999999......) = 152377720414651777 * c17391(6562639192......)

n=37024: c16890(1179454330......) = 12267927026476577 * c16873(9614129001......)

n=37026: c10551(3075141857......) = 3728623702180609 * c10535(8247391270......)

n=37032: c12337(1000099999......) = 14126617925001957097 * c12317(7079543067......)

n=37054: c18223(2832465433......) = 644698169142240462653 * c18202(4393475224......)

n=37068: c12334(1753729602......) = 4520163515029 * c12321(3879792394......)

n=37092: c11189(2476254956......) = 6151755377929748269 * c11170(4025281898......)

n=37114: c14400(9090910000......) = 2771530866514103 * c14385(3280104187......)

n=37128: c9217(1000099999......) = 17095455937057681 * c9200(5850092584......)

n=37130: c14344(1006877678......) = 178429543505050771 * c14326(5642998682......)

n=37146: c11969(1167247667......) = 5362309762093327 * c11953(2176762848......)

n=37160: c14843(1922378282......) = 30892098685601 * c14829(6222880167......)

n=37164: c11653(2261126573......) = 9880484404621 * c11640(2288477447......)

n=37166: c18575(3397261517......) = 10115211061593499 * c18559(3358567108......)

n=37188: c12351(2240800126......) = 6873951190069 * c12338(3259842940......)

n=37200: c9591(3951567063......) = 182590520378401 * c9577(2164168794......)

n=37204: c18192(1196457404......) = 361970799869892752969 * c18171(3305397575......)

n=37210: c14641(1000000000......) = 11557569184081 * c14627(8652338429......)

n=37222: c18068(2955162130......) = 25610477059051 * c18055(1153887967......)

n=37230: c9209(2732986347......) = 826905852098731 * c9194(3305075590......)

n=37258: c17185(1099999999......) = 189016341519539 * x17170(5819602639......)

n=37258: x17170(5819602639......) = 177402715572409237 * c17153(3280447326......)

n=37262: c17991(1061822800......) = 169460941351853 * c17976(6265885177......)

n=37264: c17409(1000000009......) = 9459050123857 * c17396(1057188615......)

n=37286: c18361(1099999999......) = 179125263491110091 * c18343(6140953981......)

n=37298: c17532(1474590130......) = 181714071962507622413 * c17511(8114892341......)

n=37310: c11513(3685301706......) = 134491092210931 * c11499(2740182747......)

n=37328: c18656(9999999900......) = 1070230210179335537 * c18638(9343783986......)

n=37332: c11508(8194598891......) = 73552368022561 * c11495(1114117616......)

n=37334: c16961(1099999999......) = 31689843975967 * c16947(3471143628......)

n=37354: c17663(1063553642......) = 22128890814454009 * c17646(4806176917......)

n=37394: c16021(1099999890......) = 44465293014143 * c16007(2473839292......)

n=37406: c18329(1099999999......) = 5339099021431873170019 * c18307(2060272708......)

n=37408: c15928(2724999970......) = 17541625592737 * c15915(1553447801......)

n=37416: c12465(1000099999......) = 440451748648297 * c12450(2270623293......)

n=37426: c18712(9090909090......) = 79582779807484205167 * c18693(1142321129......)

n=37430: c14101(6054299809......) = 6320989989357601 * c14085(9578087957......)

n=37432: c18707(8904066983......) = 2679153627535009 * c18692(3323462638......)

n=37490: c14247(5207140606......) = 255518835056411 * c14233(2037869578......)

n=37494: c12484(2959823153......) = 8478838135755289 * c12468(3490835779......)

n=37516: c18369(1009999999......) = 39750437690989 * c18355(2540852525......)

n=37520: c12616(4532322917......) = 16246674016921401761 * c12597(2789692778......)

n=37534: c16034(9748628204......) = 349541162819108874041 * c16014(2788978592......)

n=37556: c18230(2860869314......) = 9967551682241 * c18217(2870182574......)

n=37574: c18786(9090909090......) = 13807769231611 * c18773(6583908623......)

n=37622: c17340(9538657229......) = 64679871556327 * c17327(1474748944......)

n=37632: c10748(2657242313......) = 29565676912129 * x10734(8987591665......)

n=37632: x10734(8987591665......) = 694325840063092484353 * c10714(1294434276......)

n=37634: c18169(1309128807......) = 30976530308767 * c18155(4226195749......)

n=37646: c16120(2598218816......) = 2814431072036249 * c16104(9231772780......)

n=37662: c12548(2917720571......) = 4862385045632312899 * c12529(6000595477......)

n=37688: c16118(7906979620......) = 92143980276253921 * c16101(8581113596......)

n=37692: c12498(7565418804......) = 335550473996323969 * c12481(2254629151......)

n=37708: c17108(8962020130......) = 71413729889165220041 * c17089(1254943572......)

n=37710: c10032(9990010000......) = 42043668540869251 * c10016(2376103310......)

n=37736: c18293(5710461701......) = 7060118051681 * c18280(8088337418......)

n=37738: c18868(9090909090......) = 15162411282532671881 * c18849(5995688232......)

n=37742: c18583(2734486350......) = 60217503589277 * c18569(4541015796......)

n=37766: c18031(5889541548......) = 1766553048879642931 * c18013(3333917174......)

n=37782: c12571(1550114833......) = 197635861548337249 * c12553(7843287252......)

n=37786: c16189(1099999890......) = 94107064028797 * c16175(1168881317......)

n=37802: c18401(1099999999......) = 25695289592789213 * c18384(4280940271......)

n=37804: c17415(5164453246......) = 1312348940252741 * c17400(3935274444......)

n=37814: c15536(2001525487......) = 26878576638103 * c15522(7446545681......)

n=37832: c18906(6446338919......) = 5812950849577 * c18894(1108961538......)

n=37838: c18893(4657390939......) = 17098814828093893 * c18877(2723809215......)

n=37862: c17195(1383468556......) = 6937361207887771 * c17179(1994228807......)

n=37864: c18907(9252746081......) = 37331456054537 * c18894(2478538760......)

n=37882: c16560(9090909090......) = 146097883163623 * c16546(6222478309......)

n=37884: c9586(4217518421......) = 17153609064901 * c9573(2458677008......)

n=37890: c10063(8258704074......) = 90672346349378011 * c10046(9108294211......)

n=37914: c12287(4693605373......) = 451372188582103 * c12273(1039852585......)

n=37934: c17497(1099999999......) = 13853887408256767 * c17480(7940009670......)

n=37942: c18588(1012321445......) = 415168086297967 * c18573(2438341190......)

n=37956: c12649(1009998990......) = 16132919013181 * c12635(6260485093......)

n=37962: c11655(7571536190......) = 81583567230165373 * c11638(9280712338......)

n=38018: c18993(6202734600......) = 2921074996222531 * c18978(2123442434......)

n=38040: c10108(1314257186......) = 2252720758420081 * c10092(5834088319......)

n=38044: c19005(1286248070......) = 1382620522769412389 * c18986(9302972500......)

n=38050: c15195(2920155000......) = 36123109036801 * c15181(8083897200......)

n=38064: c11492(1124443028......) = 46515386537569 * c11478(2417357164......)

n=38070: c9936(9999999999......) = 417545948386081 * c9922(2394946002......)

n=38108: c16314(3272050950......) = 77889359138044643281 * c16294(4200895972......)

n=38114: c16699(7950560236......) = 7044592287167 * c16687(1128604738......)

n=38118: c12705(1098901098......) = 47485675906126577641 * c12685(2314173859......)

n=38132: c19057(6426990360......) = 1534938098699101 * c19042(4187133257......)

n=38150: c12960(9999900000......) = 1389406342947001 * c12945(7197246544......)

n=38172: c12721(1009998990......) = 8073867937621 * c12708(1250948117......)

n=38240: c15227(1867898483......) = 14670335781121 * c15214(1273248623......)

n=38242: c19111(1536277741......) = 794492041423481 * c19096(1933660328......)

n=38262: c10893(2521113669......) = 100727083969576303 * c10876(2502915373......)

n=38278: c19129(4927118621......) = 9050005448207229689 * c19110(5444326690......)

n=38292: c12747(5349628852......) = 2657011152572199229 * c12729(2013400977......)

n=38302: c17390(3124112960......) = 1832772574428280651 * c17372(1704582993......)

n=38318: c14784(9999999000......) = 82772163132569 * c14771(1208135515......)

n=38326: c19148(2597012355......) = 37670981820608809 * c19131(6893933287......)

n=38334: c12763(1065253695......) = 4437482541902299 * c12747(2400581152......)

n=38348: c19172(9900990099......) = 22392817187133301 * c19156(4421502670......)

n=38360: c13056(9999000099......) = 48631555085681 * c13043(2056072457......)

n=38364: c12144(9901000000......) = 7893194082661 * c12132(1254371791......)

n=38374: c16441(1099999890......) = 937835564425588823 * c16423(1172913388......)

n=38436: c12801(5737428047......) = 78185994735469 * c12787(7338178744......)

n=38438: c19218(9090909090......) = 136072985259569 * c19204(6680906627......)

n=38448: c12658(4388313382......) = 340542336734209 * c12644(1288624910......)

n=38452: c19217(4733264479......) = 4760202830701 * c19204(9943409236......)

n=38484: c12817(1000000999......) = 348675488135719064791741 * c12793(2867999139......)

n=38518: c19252(4627785157......) = 532363487361557983 * c19234(8692904880......)

n=38524: c19260(9900990099......) = 3809064591520394201 * c19242(2599323235......)

n=38526: c12841(1098901098......) = 9314836626389647 * c12825(1179732015......)

n=38538: c12831(3318135274......) = 3170926873297837 * c12816(1046424407......)

n=38576: c19274(5082909833......) = 3425208470183681 * c19259(1483970940......)

n=38592: c12654(2196690605......) = 11918001428880769 * c12638(1843170282......)

n=38600: c15361(1000000000......) = 923232973525201 * c15346(1083150221......)

n=38614: c18799(3332859442......) = 93557042523797 * c18785(3562382213......)

n=38646: c12078(4840273808......) = 1294262819104020607 * c12060(3739792055......)

n=38688: c11510(1434389994......) = 29393042765370337 * c11493(4880032345......)

n=38714: c17857(1099999999......) = 133463727018142379 * c17839(8241939773......)

n=38720: c14081(1000000000......) = 241050573202320641 * c14063(4148507040......)

n=38734: c19081(1099999999......) = 25042589729591561 * c19064(4392516955......)

n=38742: c11689(9478933496......) = 15413294194723129 * c11673(6149842711......)

n=38760: c9217(1000099999......) = 357126272801281 * c9202(2800410040......)

n=38788: c19374(9704373715......) = 4756749861199289 * c19359(2040126977......)

n=38806: c19402(9090909090......) = 1954348194397178653 * c19384(4651632251......)

n=38810: c15515(3542854474......) = 3758045767331 * c15502(9427385119......)

n=38822: c15995(8999988334......) = 938603946106961 * x15980(9588696458......)

n=38822: x15980(9588696458......) = 17887395598806343 * c15964(5360588357......)

n=38840: c15509(5022330556......) = 674962125331809121 * c15491(7440907226......)

n=38846: c19398(5430104448......) = 820644184380767 * c19383(6616880435......)

n=38864: c16609(1000000009......) = 8087494562504113 * c16593(1236476886......)

n=38874: c10770(2897745945......) = 253214749826821729 * c10753(1144382760......)

n=38878: c16643(2005561352......) = 52232657456963663 * c16626(3839669376......)

n=38888: c19440(9999000099......) = 28021990482721 * c19427(3568269037......)

n=38890: c15548(2828389601......) = 24861572772844961 * c15532(1137655138......)

n=38896: c15348(8592440353......) = 2690360449384609 * c15333(3193787789......)

n=38902: c19023(1817083480......) = 2920110893396256811 * c19004(6222652313......)

n=38918: c16789(2181896094......) = 77571231505681 * c16775(2812764541......)

n=38928: c12961(1000000009......) = 542123930940001 * c12946(1844596692......)

n=38932: c19464(9900990099......) = 18458205762868349 * c19448(5364004620......)

n=38944: c19456(9999999999......) = 12210352714154482241 * c19437(8189771609......)

n=38948: c15264(9900990099......) = 923748839273261 * c15250(1071827067......)

n=38964: c12160(9901000000......) = 13218063423751201 * c12144(7490507257......)

n=38968: c19467(3555092158......) = 571007050156537 * c19452(6226003965......)

n=38984: c17662(4025396421......) = 467909171860235674537 * c17641(8602944039......)

n=38992: c19484(2564562844......) = 41682244817912929 * c19467(6152650500......)

n=38996: c19491(5077925592......) = 430697489485208149681 * c19471(1179000508......)

n=44002: c18817(1000000099......) = 16596068106609982879211 * c18794(6025524199......)

n=44006: c22002(9090909090......) = 186523139077579 * c21988(4873877383......)

n=44010: c11655(2454003432......) = 866832391509481 * c11640(2831001075......)

n=44014: c21577(1099999999......) = 1252132842106341016849 * c21555(8785010367......)

n=44022: c12303(4234207568......) = 554459647370047 * c12288(7636637920......)

n=44026: c22012(9090909090......) = 170319161594476441 * c21995(5337572711......)

n=44030: c13818(4163784062......) = 43881529739251 * c13804(9488693962......)

n=44040: c11712(9999000100......) = 44961806436721 * c11699(2223887537......)

n=44042: c20521(1000000000......) = 447949772920253 * c20506(2232393139......)

n=44044: c15831(8219740837......) = 345866908807421 * c15817(2376561801......)

n=44054: c22016(6031188252......) = 683173457799331 * x22001(8828194631......)

n=44054: x22001(8828194631......) = 31347309918100447 * c21985(2816252703......)

n=44086: c18204(4488780677......) = 442924383644597 * c18190(1013441761......)

n=44088: c13270(4264854064......) = 104080040708170116481 * c13250(4097667560......)

n=44156: c17699(6017371619......) = 6596014540114609 * c17683(9122738561......)

n=44178: c14238(2369793781......) = 1096290489066837331 * c14220(2161647670......)

n=44188: c22065(9404327451......) = 136709303971111463561 * c22045(6879069074......)

n=44198: c16796(1131259997......) = 1132078260892863131 * c16777(9992772024......)

n=44224: c22080(9999999999......) = 3737766341675713 * c22065(2675394630......)

n=44236: c22116(9900990099......) = 224231110418921 * c22102(4415529174......)

n=44242: c20091(1640023753......) = 14992973312955956693 * c20072(1093861583......)

n=44246: c22122(9090909090......) = 1462052361296478167 * c22104(6217909379......)

n=44248: c22115(1412349989......) = 10601128041365041 * c22099(1332263872......)

n=44290: c17123(1590794188......) = 28144487835131 * c17109(5652240673......)

n=44296: c18805(2331074632......) = 14203288183169141749897 * c18783(1641221809......)

n=44320: c17639(7840779869......) = 5965029621781441 * c17624(1314457826......)

n=44368: c21301(3496767332......) = 56113629587457889 * c21284(6231582876......)

n=44382: c13607(6036582955......) = 501023367433447 * c13593(1204850581......)

n=44446: c21818(4141432175......) = 365659876625543 * c21804(1132591361......)

n=44452: c22178(8420776025......) = 6849569528011961 * c22163(1229387626......)

n=44484: c13436(1112859535......) = 1833235827360217645861 * c13414(6070465778......)

n=44490: c11849(8084678789......) = 9800096421684393481 * c11830(8249591066......)

n=44492: c18985(1000000000......) = 219349975340876129 * c18967(4558924606......)

n=44520: c9976(6303047405......) = 2942237831178130801 * c9958(2142263055......)

n=44526: c14389(8211474245......) = 1264956681741127 * c14374(6491506281......)

n=44536: c21011(7073649991......) = 8199063793841 * c20998(8627387430......)

n=44550: c10789(5312666131......) = 4484567331540451 * c10774(1184655227......)

n=44556: c14340(1588921624......) = 1025203882362301 * c14325(1549859157......)

n=44566: c22274(9585880942......) = 256367864450539 * c22260(3739111749......)

n=44572: c20228(1110986213......) = 1793620076830621219709 * c20206(6194100011......)

n=44576: c19003(1068265361......) = 63140681262467346407768641 * c18977(1691881272......)

n=44584: c22288(9999000099......) = 7187921785274137 * c22273(1391083598......)

n=44602: c21482(4667436976......) = 2861686339834478047 * c21464(1631009279......)

n=44604: c12524(1120963131......) = 340417077937824889 * c12506(3292910973......)

n=44614: c22306(9090909090......) = 7317374132801 * c22294(1242373141......)

n=44616: c12470(7176448498......) = 6206088735630326401 * c12452(1156356089......)

n=44624: c22299(7469766046......) = 20721647004337 * c22286(3604812901......)

n=44630: c17849(1099989000......) = 50176967682731 * c17835(2192218962......)

n=44648: c22320(9999000099......) = 35111180640565243729 * c22301(2847810844......)

n=44652: c14641(1000000000......) = 2592160352525089 * c14625(3857786031......)

n=44666: c21317(1855499022......) = 41824405819036936327873267050242047 * c21282(4436402587......)

# 41824405819036936327873267050242047 is the largest known factor that appears after n=12580L.

Largest known factors that appear after the previous one
  1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  2  n=1060L: 1866584856050670751142049533200645741569755944852998334484263922627299824538001 (Edwards and King / Feb 16, 2010)
  3  n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007)
  4  n=1780L: 1770802747819705674494038777570386129969127178558041 (Yousuke Koide / Sep 12, 2009)
  5  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  6  n=7140L: 154171650837800469380227217503464603601 (Yousuke Koide / Jun 1, 2007)
  7  n=8460M: 32392612190601505925687792712748935421 (Yousuke Koide / Jan 14, 2008)
  8  n=12580L: 28023250907119295576858038564333784221 (Kurt Beschorner / Jul 20, 2010)
  9  n=44666: 41824405819036936327873267050242047 (Alfred Reich / Aug 9, 2010)
  10  n=70140M: 461904211182554850127110960541 (Alfred Reich / Apr 26, 2010)
  11  n=99380M: 6592290434322258947071767721 (Alfred Reich / Apr 26, 2010)
  12  n=99874: 20466106492496275108462693 (Alfred Reich / Mar 29, 2010)
  13  n=99940M: 17594820928226575015141 (Alfred Reich / Dec 2008)
  14  n=99992: 371044131599480009569 (Alfred Reich / Jun 17, 2010)
  15  n=99999: 821893328984521 (Alfred Reich / Jul 28, 2008)
  16  n=100000: 66489400001 (Kurt Beschorner / Mar 13, 2008)

n=44694: c13655(2894624996......) = 408589381259756282899 * c13634(7084435204......)

n=44710: c16742(8543736514......) = 19073449817441 * c16729(4479387104......)

n=44716: c19130(7442079757......) = 1913127631958509 * c19115(3890006935......)

n=44750: c17790(1352965031......) = 114956047524001 * c17776(1176941153......)

n=44758: c18216(9090910000......) = 680493139018463 * c18202(1335929707......)

n=44768: c22361(6256969873......) = 909134255710817 * c22346(6882338701......)

n=44770: c15836(2233588706......) = 2075758155753811 * c15821(1076035134......)

n=44782: c22385(3383381439......) = 5801353422973 * c22372(5832055371......)

n=44788: c22379(7518147789......) = 4401823706459189 * c22364(1707962038......)

n=44790: c11926(1008015518......) = 38669150077988401 * c11909(2606769262......)

n=44798: c20660(1227719678......) = 838379285011997 * c20645(1464396485......)

n=44800: c15327(2855847849......) = 90890992281601 * c15313(3142058171......)

n=44804: c21357(9414357610......) = 41854260423509 * c21344(2249318830......)

n=44810: c17915(1168943827......) = 222648154146611 * c17900(5250184229......)

n=44816: c22371(9222097803......) = 3454086499267096321 * x22353(2669909339......)

n=44816: x22353(2669909339......) = 10637949108322749929894336497 * c22325(2509797059......)

n=44822: c22033(1099999999......) = 7400394354491 * c22020(1486407274......)

n=44836: c20333(1066940836......) = 53460489395378198250701 * c20310(1995755834......)

n=44838: c14352(9990010000......) = 360069550347277 * c14338(2774466763......)

n=44840: c16683(4787812027......) = 29233467368047681 * c16667(1637784518......)

n=44856: c12660(1599488510......) = 468286187654881 * c12645(3415621799......)

n=44858: c20381(1099999999......) = 30283643291287 * c20367(3632323856......)

n=44866: c22432(9090909090......) = 855675167391409 * c22418(1062425256......)

n=44876: c20681(1149461797......) = 862027027002317992458241 * c20657(1333440555......)

n=44888: c21601(1000099999......) = 754578458691563833 * c21583(1325375762......)

n=44890: c17681(1613082980......) = 5718914338788377761 * c17662(2820610495......)

n=44898: c12812(1013396985......) = 28907569718723156917 * c12792(3505645736......)

n=44902: c18709(6585891882......) = 651359479384477007 * c18692(1011099414......)

n=44926: c19235(3832280879......) = 14652043800689 * c19222(2615526496......)

n=44952: c14967(1649723849......) = 23397815577209761 * c14950(7050760117......)

n=44956: c22476(9900990099......) = 586696292293481 * c22462(1687583546......)

n=44972: c22475(5269482764......) = 3870432162362581 * c22460(1361471418......)

n=47563: c47563(1111111111......) = 1002898784577169 * c47548(1107899548......)

n=48271: c48271(1111111111......) = 3260365779804557 * c48255(3407933913......)

n=70981: c70981(1111111111......) = 148078791365870039 * c70963(7503512831......)

n=74771: c74771(1111111111......) = 14589598244130493 * c74754(7615775928......)

n=76801: c76801(1111111111......) = 1106986327783199 * c76786(1003726137......)

n=83591: c83591(1111111111......) = 34764899693462693 * c83574(3196071672......)

n=89963: c89963(1111111111......) = 58300513622947009 * c89946(1905834172......)

n=91703: c91703(1111111111......) = 6136179933781712359 * c91684(1810753796......)

n=95087: c95087(1111111111......) = 26129267273682431 * c95070(4252362301......)

n=96001: c96001(1111111111......) = 8314445743843667 * c95985(1336362212......)

n=96661: c96661(1111111111......) = 385042712574489517 * c96643(2885682743......)

n=46237: c46237(1111111111......) = 5859265756046281 * c46221(1896331652......)

n=46511: c46511(1111111111......) = 24417250558016201 * c46494(4550516891......)

n=46591: c46591(1111111111......) = 5223387620151413 * c46575(2127184869......)

n=46601: c46601(1111111111......) = 31112074036137536715517 * c46578(3571318034......)

n=46639: c46639(1111111111......) = 9275672865673971558677 * c46617(1197876560......)

n=46919: c46919(1111111111......) = 3047698156125521 * c46903(3645738699......)

n=48787: c48787(1111111111......) = 1951903445595613 * c48771(5692449150......)

n=49739: c49739(1111111111......) = 29833873936798656827 * c49719(3724327298......)

August 7, 2010 2010 年 8 月 7 日 (Kurt Beschorner)

n=9771: c6497(5005484772......) = 56473862274068223227917 * c6474(8863365405......)

n=10941: c6222(2250420455......) = 142706297459598044459941333 * c6196(1576959458......)

n=12132: c3993(2848161276......) = 1156285296730544971315794264361 * c3963(2463199423......)

August 6, 2010 2010 年 8 月 6 日 (Alfred Reich)

n=54667: c54667(1111111111......) = 22224848623210001 * c54650(4999409129......)

n=55663: c55663(1111111111......) = 4954888499974636001 * c55644(2242454317......)

n=56377: c56377(1111111111......) = 6580804448292327468043 * c56355(1688412290......)

n=44963: c44963(1111111111......) = 6114727878515689 * c44947(1817106391......)

August 5, 2010 2010 年 8 月 5 日 (Alfred Reich)

n=40879: c40879(1111111111......) = 523279597422778769 * c40861(2123360277......)

n=41879: c41879(1111111111......) = 120506774297744398540841 * c41855(9220320746......)

n=42239: c42239(1111111111......) = 830873865130679278904803 * c42215(1337280130......)

n=42283: c42283(1111111111......) = 71401977810305610493 * c42263(1556134921......)

n=42397: c42397(1111111111......) = 656411131509318083477 * c42376(1692706076......)

n=42649: c42649(1111111111......) = 11051595938611157 * c42633(1005385210......)

n=42689: c42689(1111111111......) = 2475228511288674738204551 * c42664(4488923370......)

n=42737: c42737(1111111111......) = 1826128430342323361 * c42718(6084517893......)

n=43291: c43291(1111111111......) = 303128236638713294191 * c43270(3665482052......)

n=43331: c43331(1111111111......) = 17447852714967253 * c43314(6368182545......)

n=44087: c44087(1111111111......) = 439433811747991 * c44072(2528506185......)

n=44129: c44129(1111111111......) = 3438340331360521 * c44113(3231533251......)

n=54269: c54269(1111111111......) = 2804799127279151 * c54253(3961464121......)

August 3, 2010 2010 年 8 月 3 日 (Alfred Reich)

n=49667: c49667(1111111111......) = 6887806662970111 * c49651(1613156648......)

August 3, 2010 2010 年 8 月 3 日 (Kurt Beschorner)

n=6751: c6530(7489698803......) = 15847982377321079379991 * c6508(4725963611......)

n=6761: c6734(5211555283......) = 196922237719451377556039 * c6711(2646504195......)

n=6833: c6827(1084062663......) = 621888214201244727563 * c6806(1743179302......)

n=7003: c6795(6299643515......) = 352389820235798632751 * x6775(1787691685......)

n=7003: x6775(1787691685......) = 339867726503664729723819239 * c6748(5259963055......)

n=9425: c6711(2901574007......) = 21906545293070905351 * c6692(1324523775......)

n=9485: c6462(9927172237......) = 916004672899066831991 * c6442(1083746899......)

n=9561: c6372(9009009009......) = 1043398173338108372275237 * c6348(8634296320......)

n=9651: c6426(5623365944......) = 269197928960412189170947 * x6403(2088933583......)

n=9651: x6403(2088933583......) = 2711682689828747499570439 * c6378(7703458784......)

n=9753: c6479(5456931194......) = 5051956412540221527947515999 * c6452(1080161970......)

August 2, 2010 2010 年 8 月 2 日 (Number 2)

n=1016: c464(8361328347......) = 2575212027850692464577982171078840918884244921649 * c416(3246850456......)

July 31, 2010 2010 年 7 月 31 日 (Alfred Reich)

n=62969: c62969(1111111111......) = 46870969361511707 * c62952(2370574208......)

August 1, 2010 2010 年 8 月 1 日 (Kurt Beschorner)

n=6689: c6674(3117807476......) = 45644932382065878915791 * x6651(6830566535......)

n=6689: x6651(6830566535......) = 5052442958737070174765693 * c6627(1351933429......)

n=6697: c6480(9000000000......) = 450531556301162520959 * c6460(1997640314......)

n=6707: c6336(9000000000......) = 1303958434606814698831431839 * c6309(6902060496......)

n=7139: c6349(1668826062......) = 55386808446587707459582284403 * c6320(3013038861......)

n=7667: c6371(1019262010......) = 25401354269170441277 * c6351(4012628618......)

n=8017: c8005(1029019114......) = 8647114805431807287252533 * x7980(1190014400......)

n=8017: x7980(1190014400......) = 12040531619535781109321204382827 * c7948(9883404142......)

n=8035: c6409(3440641375......) = 8980932137616930257472001 * x6384(3831051524......)

n=8035: x6384(3831051524......) = 13503739502705662032195271 * c6359(2837030086......)

n=8065: c6448(9000090000......) = 4499608243399524136151 * c6427(2000194131......)

n=8095: c6405(7445959665......) = 631188224437673799303191 * c6382(1179673412......)

n=8393: c6447(5541640093......) = 600965679724595854763557 * c6423(9221225571......)

n=8945: c7142(8560488669......) = 20335337442881 * c7129(4209661479......)

n=9501: c6297(7110946581......) = 25148763754086686464962889 * c6272(2827553135......)

n=9565: c7648(9000090000......) = 85939707815784004271 * c7629(1047256295......)

n=9879: c6332(5617693203......) = 6234045765111973557349957 * c6307(9011312099......)

n=12135: c6422(2355282518......) = 2816570559365552908951 * c6400(8362235096......)

n=9489: c6297(8388989027......) = 151510299804488083 * c6280(5536910057......)

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