### February 29, 20242024 年 2 月 29 日 (Kurt Beschorner)

n=10335: c4992(9009099100......) = 1549956242052833162118620306401 * c4962(5812486091......)

# ECM B1=1e6, sigma=0:6780271921532861

n=10408: c5190(1619360579......) = 14370694506223165288707229970617 * c5159(1126849212......)

# ECM B1=1e6, sigma=8806874869199137

n=10424: c5183(3211740478......) = 8606812592746882737809302233409 * c5152(3731625899......)

# ECM B1=1e6, sigma=4247777747100720

n=11414: c5177(4618877174......) = 1167728903112961341541531507691 * c5147(3955436199......)

# B1=1e6, sigma=3216681011953137

n=147449: c147437(4157152473......) = 11828400848099433799 * c147418(3514551566......)

# gr-mfaktc

### February 25, 20242024 年 2 月 25 日 (Sam Wagstaff)

n=818: c377(1258287053......) = 89909332182322637174267412766780073091874834080069255427757 * p318(1399506617......)

# ECM

# 1262 of 300000 Φn(10) factorizations were finished. 300000 個中 1262 個の Φn(10) の素因数分解が終わりました。

### February 24, 20242024 年 2 月 24 日 (Kurt Beschorner)

n=649: c580(9000000000......) = 3185748559637643456066133367277689749860976255110653 * c529(2825081713......)

# ECM B1=11e7, sigma=0:3763781678208499

# 213176 of 300000 Φn(10) factorizations were cracked. 300000 個中 213176 個の Φn(10) の素因数が見つかりました。

### February 24, 20242024 年 2 月 24 日 (Makoto Kamada)

n=149098: c73831(7377648408......) = 646131009454219 * c73817(1141819275......)

n=149156: c63828(1253266694......) = 195460216102901 * c63813(6411876131......)

n=149488: c74704(7516546154......) = 666029541829777 * c74690(1128560474......)

n=149496: c49762(5337186300......) = 473915379522073 * c49748(1126189723......)

n=149872: c64507(6672315827......) = 370334221714673 * c64493(1801701121......)

n=149896: c72941(6251569951......) = 240030232223737 * c72927(2604492731......)

### February 14, 20242024 年 2 月 14 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=69859: c69859(1111111111......) = 8434285361839984895778533 * c69834(1317374339......)

# ECM B1=5e4, sigma=2445261498672925

# 213175 of 300000 Φn(10) factorizations were cracked. 300000 個中 213175 個の Φn(10) の素因数が見つかりました。

# 20028 of 25997 Rprime factorizations were cracked. 25997 個中 20028 個の Rprime の素因数が見つかりました。

### February 12, 20242024 年 2 月 12 日 (Makoto Kamada)

n=150015: c78336(9009099100......) = 454190501308681 * c78322(1983550751......)

n=150063: c100033(4480212122......) = 181108379485279 * c100019(2473774065......)

n=150136: c64177(1000000000......) = 284234389604929 * c64162(3518223116......)

n=150175: c120112(8761620138......) = 830784967656001 * c120098(1054619483......)

n=150183: c86400(9990000009......) = 374165785929079 * c86386(2669939472......)

n=150194: c68249(8288848932......) = 629532305149133 * c68235(1316667764......)

n=150214: c68904(9090909090......) = 131877031227373 * c68890(6893474175......)

n=150237: c100152(9990000009......) = 302845783105729 * c100138(3298708638......)

n=150257: c140390(6397053320......) = 253595214676187 * c140376(2522544965......)

n=150263: c141401(4991248400......) = 252523081494107 * c141387(1976551359......)

n=150269: c128789(2697864721......) = 186062468713241 * c128775(1449977924......)

n=150307: c141107(3396746571......) = 816497412442489 * c141092(4160143706......)

n=150332: c58464(9999999999......) = 124903850322161 * c58450(8006158316......)

n=150349: c149480(8620230069......) = 125795441964119 * x149466(6852577434......)

n=150349: x149466(6852577434......) = 251522761698431 * c149452(2724436304......)

n=150350: c57600(9999900000......) = 649528571577001 * c57586(1539562759......)

n=150354: c50096(1692937973......) = 652585585899601 * c50081(2594200684......)

n=150363: c100200(2156764541......) = 589632316720147 * c100185(3657812641......)

n=150367: c128872(1937008548......) = 329165830830173 * c128857(5884597874......)

n=150384: c46066(5949403471......) = 285291451554097 * c46052(2085377405......)

n=150391: c147753(3583799763......) = 280059180456551 * c147739(1279658019......)

n=150392: c68312(3271005786......) = 244375815346961 * c68298(1338514525......)

n=150395: c103092(3920095089......) = 416309879386801 * c103077(9416291286......)

n=150412: c72696(8500517069......) = 641589349925189 * c72682(1324915550......)

n=150421: c149638(4986003181......) = 235080411721241 * c149624(2120977730......)

n=150453: c98497(1001000999......) = 109858596624253 * c98482(9111722075......)

n=150459: c100291(5301114418......) = 199484071869169 * c100277(2657412378......)

n=150466: c71933(3206412919......) = 384444364566121 * c71918(8340382158......)

n=150468: c50133(1849015272......) = 231312501971149 * c50118(7993581223......)

n=150484: c70772(2526123694......) = 605648803999829 * c70757(4170938136......)

n=150542: c64504(7314244421......) = 715804192730369 * c64490(1021821958......)

n=150582: c50177(1208789827......) = 845249506441933 * c50162(1430098235......)

n=150596: c75296(9900990099......) = 908412075041381 * c75282(1089922775......)

n=150645: c72160(9999999999......) = 232275601197751 * c72146(4305230488......)

n=150648: c50199(2766105976......) = 165958716138073 * c50185(1666743417......)

n=75334: c32272(5808130133......) = 699487010373089 * c32257(8303413855......)

n=150685: c120528(1134756548......) = 941447005053551 * c120513(1205332369......)

n=150714: c50221(1000000000......) = 404754931243477 * c50206(2470630803......)

n=150744: c45600(9999000100......) = 392187049808137 * c45586(2549548768......)

n=150770: c60305(1099989000......) = 439587930304121 * c60290(2502318476......)

n=150828: c50273(1009998990......) = 249151879694929 * c50258(4053748224......)

n=150835: c119032(2798756620......) = 189331537071401 * c119018(1478230549......)

n=150904: c69594(5097991439......) = 133237738135841 * c69580(3826236853......)

n=150903: c96223(1656690627......) = 489035903334481 * c96208(3387666665......)

n=150909: c85760(9009009009......) = 671842423428133 * c85746(1340940776......)

n=150943: c130945(1111111111......) = 272001366900199 * c130930(4084946791......)

n=150970: c58320(9091000000......) = 467152934931521 * c58306(1946043644......)

n=150974: c68533(4326189539......) = 998124845620477 * c68518(4334317052......)

n=150981: c98833(1109999999......) = 962588635129477 * c98818(1153140562......)

n=150992: c75479(4644041348......) = 129431880102529 * c75465(3588019694......)

n=150995: c105595(2980251067......) = 244799172454721 * c105581(1217426937......)

### February 10, 20242024 年 2 月 10 日 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse and Kurt Beschorner)

n=942: c209(3086208383......) = 9755872853901756680890615403191792297388117293582105055568357694889056982187114874692197915708047 * p112(3163436454......)

# SNFS

```   Details:
- R942: SNFS-difficulty = 314
Sat Nov 11 11:17:54 2023  Msieve v. 1.54 (SVN r1044)
Sat Nov 11 11:17:54 2023  random seeds: 60253a75 007cd855
Sat Nov 11 11:17:54 2023  factoring 30862083832190969399642448329237079281358998786734541342232902569072683505580523380381489228423400116527554057338104357145657543175005161681489015756307835902130639405231933246244136812560041424780296737530889 (209 digits)
Sat Nov 11 11:17:55 2023  no P-1/P+1/ECM available, skipping
Sat Nov 11 11:17:55 2023  commencing number field sieve (209-digit input)
Sat Nov 11 11:17:55 2023  R0: -10000000000000000000000000000000000000000000000000000
Sat Nov 11 11:17:55 2023  R1: 1
Sat Nov 11 11:17:55 2023  A0: 1
Sat Nov 11 11:17:55 2023  A1: 0
Sat Nov 11 11:17:55 2023  A2: 0
Sat Nov 11 11:17:55 2023  A3: -10
Sat Nov 11 11:17:55 2023  A4: 0
Sat Nov 11 11:17:55 2023  A5: 0
Sat Nov 11 11:17:55 2023  A6: 100
Sat Nov 11 11:17:55 2023  skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0
Sat Nov 11 11:17:55 2023  commencing relation filtering
Sat Nov 11 11:17:55 2023  setting target matrix density to 130.0
Sat Nov 11 11:17:55 2023  estimated available RAM is 130983.0 MB
Sat Nov 11 11:17:55 2023  commencing duplicate removal, pass 1
Sat Nov 11 11:52:23 2023  error -15 reading relation 196874611
...
Sat Nov 11 15:51:51 2023  skipped 1120644 relations with b > 2^32
Sat Nov 11 15:51:51 2023  skipped 2634 relations with composite factors
Sat Nov 11 15:52:00 2023  found 325844461 hash collisions in 1439959899 relations
Sat Nov 11 15:52:28 2023  commencing duplicate removal, pass 2
Sat Nov 11 17:18:01 2023  found 8457401 duplicates and 1431502498 unique relations
Sat Nov 11 17:18:01 2023  memory use: 16280.0 MB
Sat Nov 11 17:18:03 2023  reading ideals above 812974080
Sat Nov 11 17:18:03 2023  commencing singleton removal, initial pass
Sat Nov 11 22:20:10 2023  memory use: 21024.0 MB
Sat Nov 11 22:20:15 2023  reading all ideals from disk
Sat Nov 11 22:22:13 2023  memory use: 26910.1 MB
Sat Nov 11 22:25:23 2023  commencing in-memory singleton removal
Sat Nov 11 22:28:29 2023  begin with 1431502498 relations and 1210425856 unique ideals
Sat Nov 11 23:38:05 2023  reduce to 962297124 relations and 696430793 ideals in 15 passes
Sat Nov 11 23:38:05 2023  max relations containing the same ideal: 53
Sat Nov 11 23:42:10 2023  reading ideals above 720000
Sat Nov 11 23:42:14 2023  commencing singleton removal, initial pass
Sun Nov 12 03:28:50 2023  memory use: 21024.0 MB
Sun Nov 12 03:28:54 2023  reading all ideals from disk
Sun Nov 12 03:31:44 2023  memory use: 44648.7 MB
...
Tue Nov 14 08:39:49 2023  commencing in-memory singleton removal
Tue Nov 14 08:40:17 2023  begin with 236428517 relations and 235660066 unique ideals
Tue Nov 14 08:47:03 2023  reduce to 236285362 relations and 230413441 ideals in 6 passes
Tue Nov 14 08:47:03 2023  max relations containing the same ideal: 85
Tue Nov 14 08:51:28 2023  relations with 0 large ideals: 127875
Tue Nov 14 08:51:28 2023  relations with 1 large ideals: 95486
Tue Nov 14 08:51:28 2023  relations with 2 large ideals: 1301900
Tue Nov 14 08:51:28 2023  relations with 3 large ideals: 7741623
Tue Nov 14 08:51:28 2023  relations with 4 large ideals: 25166632
Tue Nov 14 08:51:28 2023  relations with 5 large ideals: 49597077
Tue Nov 14 08:51:28 2023  relations with 6 large ideals: 62285102
Tue Nov 14 08:51:28 2023  relations with 7+ large ideals: 89969667
Tue Nov 14 08:51:28 2023  commencing 2-way merge
Tue Nov 14 08:56:46 2023  reduce to 150480987 relation sets and 144609066 unique ideals
Tue Nov 14 08:56:47 2023  commencing full merge
Tue Nov 14 10:39:21 2023  memory use: 18337.9 MB
Tue Nov 14 10:39:51 2023  found 67501310 cycles, need 66981266
Tue Nov 14 10:39:56 2023  weight of 66981266 cycles is about 8707922449 (130.01/cycle)
Tue Nov 14 10:39:56 2023  distribution of cycle lengths:
Tue Nov 14 10:39:56 2023  1 relations: 3801061
Tue Nov 14 10:39:56 2023  2 relations: 4306316
Tue Nov 14 10:39:56 2023  3 relations: 4711699
Tue Nov 14 10:39:56 2023  4 relations: 4725778
Tue Nov 14 10:39:56 2023  5 relations: 4836562
Tue Nov 14 10:39:56 2023  6 relations: 4738034
Tue Nov 14 10:39:56 2023  7 relations: 4697005
Tue Nov 14 10:39:56 2023  8 relations: 4502168
Tue Nov 14 10:39:56 2023  9 relations: 4303068
Tue Nov 14 10:39:56 2023  10+ relations: 26359575
Tue Nov 14 10:39:56 2023  heaviest cycle: 28 relations
Tue Nov 14 10:40:32 2023  commencing cycle optimization
Tue Nov 14 11:23:20 2023  pruned 25164870 relations
Tue Nov 14 11:23:21 2023  memory use: 15674.6 MB
Tue Nov 14 11:23:21 2023  distribution of cycle lengths:
Tue Nov 14 11:23:21 2023  1 relations: 3801061
Tue Nov 14 11:23:21 2023  2 relations: 4418872
Tue Nov 14 11:23:21 2023  3 relations: 4910588
Tue Nov 14 11:23:21 2023  4 relations: 4919179
Tue Nov 14 11:23:21 2023  5 relations: 5064834
Tue Nov 14 11:23:21 2023  6 relations: 4959291
Tue Nov 14 11:23:21 2023  7 relations: 4926516
Tue Nov 14 11:23:21 2023  8 relations: 4712847
Tue Nov 14 11:23:21 2023  9 relations: 4494751
Tue Nov 14 11:23:21 2023  10+ relations: 24773327
Tue Nov 14 11:23:21 2023  heaviest cycle: 28 relations
Tue Nov 14 11:26:57 2023  RelProcTime: 259742
Tue Nov 14 11:26:57 2023  elapsed time 72:09:03

- Linear Algebra was performed by Oliver Kruse using CADO and MSIEVE-GPU
- remove duplicates with CADO                                             :
- run dup1.
- run freerel to get the renumber table.
- count the number of relations exactly (!).
- run dup2.
- run purge, making sure that -col-min-index is not too small and that -keep is set to 0.
- convert all relations back to msieve format using convert_rels.
- the version used is not yet officially available; the currently used CADO version is not
error-free
- build a matrix with the desired target density using msieve
- upload the matrix file to LambdaLabs, while building Greg Childers msieve-GPU on the target system
- execute the LA (without root step) on a rented 80-GB-VRAM ( H100); time: about 73hours!
- get the dependency file (.dep) back to the local system
- execute the root step (msieve -nc3) locally
```

# 1261 of 300000 Φn(10) factorizations were finished. 300000 個中 1261 個の Φn(10) の素因数分解が終わりました。

### February 9, 20242024 年 2 月 9 日 (Makoto Kamada)

n=151043: c149760(9000000000......) = 856460544214631 * c149746(1050836499......)

n=151056: c50286(2827715036......) = 738862490724481 * c50271(3827119486......)

n=151087: c144496(9000000000......) = 129961797490373 * c144482(6925111974......)

n=151092: c50308(3979576221......) = 284146314458581 * c50294(1400537687......)

n=151144: c64753(1000099999......) = 891357803314049 * c64738(1121996123......)

n=151160: c60442(8270203534......) = 390821221798801 * c60428(2116109124......)

n=151190: c55765(1205175696......) = 581729935473961 * c55750(2071709951......)

n=151229: c139584(9000000000......) = 145358444171123 * c139570(6191590761......)

n=151261: c137500(9000000000......) = 136951906946867 * c137486(6571650005......)

n=151317: c88683(3383298170......) = 109871775467173 * x88669(3079315098......)

n=151317: x88669(3079315098......) = 536792426594533 * c88654(5736509954......)

n=151322: c73003(5383517912......) = 179856714484289 * c72989(2993225984......)

n=151332: c50423(4246172772......) = 836709040065901 * c50408(5074849880......)

n=151342: c73176(7181084664......) = 290204312346493 * c73162(2474492748......)

n=151360: c53747(2372245526......) = 503643667204481 * c53732(4710166494......)

n=151395: c80737(1109988900......) = 907436981682841 * c80722(1223213206......)

n=151407: c100932(9990000009......) = 400930339681243 * c100918(2491704673......)

n=151417: c127873(1111110999......) = 598804158369761 * c127858(1855549906......)

n=151430: c57312(9091000000......) = 278379576643361 * c57298(3265684972......)

n=151445: c103817(9170819416......) = 159969841473121 * c103803(5732842723......)

n=151485: c80785(1109988900......) = 143107538658751 * c80770(7756327237......)

n=151505: c119781(5941056589......) = 179741703165641 * c119767(3305330084......)

n=151503: c91801(1109999999......) = 499929720602401 * c91786(2220312084......)

n=151513: c149933(2357176267......) = 218742183816883 * c149919(1077604797......)

n=151532: c73921(1009999999......) = 182109496809281 * c73906(5546113836......)

n=151551: c100980(9999999999......) = 508591511863471 * c100966(1966214489......)

n=151563: c95677(6036251347......) = 208410870223123 * c95663(2896322701......)

n=151567: c137271(5282335150......) = 563839503510973 * c137256(9368508445......)

n=75800: c30218(6276350758......) = 102437441194001 * c30204(6127008528......)

n=151648: c64883(3875549394......) = 150323520016321 * x64869(2578139065......)

n=151647: c101096(9009009009......) = 396092331079267 * c101082(2274471960......)

n=151648: x64869(2578139065......) = 755564068829249 * c64854(3412204433......)

n=151659: c97909(3924191152......) = 650278113916933 * c97894(6034635133......)

n=75843: c49582(2635375521......) = 883500158447173 * c49567(2982880643......)

n=151711: c130032(9000000900......) = 272907672037043 * c130018(3297818941......)

n=151742: c71387(1208189769......) = 466834979829209 * c71372(2588044644......)

n=151749: c93283(2479028726......) = 131222587142557 * c93269(1889178365......)

n=151763: c148478(6719581227......) = 434402536083559 * c148464(1546855892......)

n=151777: c145156(9000000000......) = 123169888300493 * c145142(7306980727......)

n=151778: c68981(1099999999......) = 459074952049451 * c68966(2396122888......)

n=151854: c50617(1098901098......) = 345400738580263 * c50602(3181525040......)

n=151880: c60737(1000099999......) = 195499505572081 * c60722(5115613960......)

n=151945: c121552(9000090000......) = 373618550877511 * x121538(2408898053......)

n=151945: x121538(2408898053......) = 374678686944791 * c121523(6429236937......)

n=151983: c93302(4074309105......) = 864860417178733 * c93287(4710944129......)

n=151985: c120043(8703366568......) = 810301393354751 * c120029(1074090041......)

n=151997: c143040(9000000000......) = 178969510293317 * c143026(5028789532......)

### February 8, 20242024 年 2 月 8 日 (Makoto Kamada)

n=152050: c60801(1000009999......) = 229790740866851 * c60786(4351828956......)

n=152067: c100422(7661875906......) = 984717751385569 * c100407(7780783778......)

n=152075: c93582(5380964115......) = 568300459742401 * c93567(9468519729......)

n=152120: c60824(1162790047......) = 552626077998961 * c60809(2104117220......)

n=152131: c128503(1819108710......) = 139725560060003 * c128489(1301915490......)

n=152139: c90523(2960772517......) = 126421795267717 * c90509(2341979491......)

n=152153: c149927(1286540617......) = 174782233973603 * c149912(7360820308......)

n=76080: c20224(9999999900......) = 115491255725281 * c20210(8658664101......)

n=152204: c70225(1009999999......) = 598475133910681 * c70210(1687622330......)

n=152215: c104345(1546513257......) = 302735745979241 * c104330(5108459369......)

n=152217: c93575(5152838799......) = 140861950330609 * c93561(3658077136......)

n=152237: c145574(7054897874......) = 160461810358373 * c145560(4396621138......)

n=152244: c50726(6272055307......) = 117378897217849 * c50712(5343426677......)

n=152291: c149952(9000000000......) = 962470933749587 * c149937(9350931736......)

n=152295: c67186(4824311980......) = 330049853574871 * c67172(1461691901......)

n=152303: c138708(1774594814......) = 980628595873427 * c138693(1809650281......)

n=152301: c101532(9009009009......) = 766669902484267 * c101518(1175083172......)

n=152354: c71681(1099999999......) = 237379209172331 * c71666(4633935734......)

n=152346: c50775(1030455174......) = 994161074652481 * c50760(1036507263......)

n=152356: c74241(1009999999......) = 228131160528149 * c74226(4427277701......)

n=152360: c56064(9999000099......) = 162932936573681 * c56050(6136880799......)

n=152402: c75583(6651600579......) = 541633496127851 * c75569(1228063003......)

n=76219: c62370(5205176257......) = 246634715621867 * c62356(2110479964......)

n=76221: c50732(2247099939......) = 138356488165933 * c50718(1624137739......)

n=152453: c126001(1111110999......) = 249194923364521 * c125986(4458802711......)

n=152450: c60937(2791854051......) = 558524326100201 * c60922(4998625702......)

n=152458: c73726(9844989954......) = 123627499888223 * c73712(7963430437......)

n=152473: c143480(1637814761......) = 107048353925507 * c143466(1529976595......)

n=152485: c121977(9222309856......) = 114665655356471 * c121963(8042783018......)

n=152513: c137792(1907197309......) = 259252086024037 * c137777(7356536020......)

n=152530: c52264(5458003250......) = 294079686223121 * c52250(1855960648......)

n=152534: c74765(1123104525......) = 219334195261087 * c74750(5120517226......)

n=152575: c114561(1000010000......) = 180166875384401 * c114546(5550465355......)

n=152611: c151000(9000000000......) = 138826601578307 * c150986(6482907380......)

n=152631: c101736(9999999990......) = 789629054528161 * c101722(1266417431......)

n=152638: c75690(4804393486......) = 679638455499767 * c75675(7069043030......)

n=152659: c140904(9000000000......) = 638107121084603 * c140890(1410421495......)

n=152678: c75439(6618988527......) = 656430841121837 * c75425(1008329912......)

n=152682: c50859(1017204045......) = 750917196292933 * c50844(1354615463......)

n=152685: c72576(9999999999......) = 535869247510351 * c72562(1866126867......)

n=152707: c150675(5622263822......) = 677595409393787 * c150660(8297375903......)

n=152733: c87184(1760046818......) = 337330649745013 * c87169(5217571601......)

n=152757: c92509(1025085457......) = 247134309523399 * c92494(4147888083......)

n=152762: c71855(3701705700......) = 125018432602571 * c71841(2960927939......)

n=152763: c93973(2013083758......) = 368149231900711 * c93958(5468118860......)

n=152770: c61080(5709434902......) = 317615217619241 * c61066(1797594883......)

n=152787: c101842(5904621997......) = 503162517802627 * c101828(1173501957......)

n=152803: c128899(1817878546......) = 115585076145547 * c128885(1572762338......)

n=152810: c50099(7620624836......) = 701929329934771 * c50085(1085668387......)

n=152858: c73059(1220538783......) = 408073447299491 * c73044(2990978196......)

n=76430: c30561(2838680484......) = 680124748583081 * c30546(4173764431......)

n=152870: c61138(2248619691......) = 193148038398881 * c61124(1164194940......)

n=152869: c150213(1541202534......) = 961085230425773 * c150198(1603606512......)

n=152895: c81518(1686778143......) = 752115212832001 * c81503(2242712438......)

n=76449: c47883(2595671542......) = 157842827889907 * c47869(1644465939......)

n=152925: c81521(1000010000......) = 334644898792951 * c81506(2988272057......)

n=152984: c70541(5373817342......) = 985859202436369 * c70526(5450897378......)

n=152997: c94120(4467391740......) = 500369905531003 * c94105(8928178316......)

### February 7, 20242024 年 2 月 7 日 (Makoto Kamada)

n=153003: c102000(9009009009......) = 129739758928963 * c101986(6943907621......)

n=153021: c92711(2182282287......) = 109548958374043 * c92697(1992061193......)

n=153019: c146330(8143473676......) = 410015225173157 * c146316(1986139337......)

n=153087: c92761(1109999999......) = 118500474773077 * c92746(9367051078......)

n=153101: c141312(9000000000......) = 147599660348453 * c141298(6097575007......)

n=153156: c51049(1009998990......) = 358040712077149 * c51034(2820905433......)

n=153183: c102110(7235380637......) = 109480210558837 * c102096(6608847937......)

n=153234: c51065(6221421310......) = 105407057032939 * c51051(5902281579......)

n=153250: c61201(1000000000......) = 261787854939251 * c61186(3819886908......)

n=153288: c51073(1000000000......) = 646549619934241 * c51058(1546671700......)

n=153331: c151792(9000000000......) = 139352310442427 * c151778(6458450506......)

n=153355: c122667(2171267038......) = 178267788734671 * c122653(1217980574......)

n=153386: c76141(1099999999......) = 140161743948491 * c76126(7848075865......)

n=153395: c111498(2163655978......) = 476770039175321 * c111483(4538154248......)

n=153399: c102264(9009009009......) = 537484961267053 * c102250(1676141596......)

n=153418: c75630(4782623642......) = 441012321650647 * c75616(1084464856......)

n=153454: c64490(2870256276......) = 275390225498767 * c64476(1042250599......)

n=153453: c102295(1467712317......) = 732793061199679 * c102280(2002901494......)

n=153455: c119957(5621726700......) = 855703338172961 * c119942(6569714584......)

n=153482: c62208(9090910000......) = 712029324153533 * c62194(1276760618......)

n=153492: c51141(6800788114......) = 214582398502141 * c51127(3169313122......)

n=76769: c59761(1111110999......) = 978943537757879 * c59746(1135010301......)

n=153549: c91081(1000000000......) = 199008040096009 * c91066(5024922608......)

n=153576: c50545(1000000000......) = 885637788958081 * c50530(1129129777......)

n=153585: c81861(2541447263......) = 314488413714961 * c81846(8081211110......)

n=153601: c131626(1452391353......) = 120893610409853 * x131612(1201379749......)

n=153601: x131612(1201379749......) = 772099961494933 * c131597(1555989909......)

n=153625: c122800(9999999999......) = 128213884755751 * c122786(7799467287......)

n=153633: c101017(4405493881......) = 173140644198397 * c101003(2544459679......)

n=153637: c139646(1146241946......) = 305330563544843 * c139631(3754101566......)

n=153643: c128585(1009017183......) = 485018874336319 * c128570(2080366841......)

n=153670: c55435(2169145638......) = 611094759652081 * c55420(3549606021......)

n=153679: c152776(9000000000......) = 639949029878111 * c152762(1406362003......)

n=153696: c51201(1000000000......) = 537163471801057 * c51186(1861630681......)

n=153707: c152880(9000000000......) = 666278104327081 * c152866(1350787297......)

n=153718: c76191(1551730617......) = 175594794821807 * x76176(8836996670......)

n=153718: x76176(8836996670......) = 217777740056819 * c76162(4057805296......)

n=153725: c100775(1499046969......) = 179186396732201 * c100760(8365852526......)

n=76869: c46657(1000000000......) = 276202932279067 * c46642(3620526370......)

n=153745: c121345(1111099999......) = 874027389203191 * c121330(1271241626......)

n=153791: c132001(1000000000......) = 212863289143363 * c131986(4697850925......)

n=153806: c75389(2263333452......) = 231477075941383 * c75374(9777786605......)

n=153801: c97945(1001000999......) = 307825231385431 * c97930(3251848444......)

n=153813: c90465(1114020983......) = 101896258776973 * c90451(1093289387......)

n=153835: c111841(1111099999......) = 981155919499801 * c111826(1132439786......)

n=153857: c137189(4090908267......) = 335974408218329 * c137175(1217624964......)

n=76929: c51271(1584528763......) = 504957197018203 * c51256(3137946688......)

n=153879: c93234(1335825751......) = 111463312337521 * c93220(1198444334......)

n=153878: c75250(5106083527......) = 209494294036411 * c75236(2437337756......)

n=153945: c74400(9990000009......) = 337573399030561 * c74386(2959356406......)

n=153950: c61554(5413064083......) = 665279336638801 * c61539(8136528199......)

n=153984: c51183(3874783581......) = 893511263255041 * c51168(4336580568......)

n=76995: c38976(9990000009......) = 488102629183831 * c38962(2046700716......)

n=154092: c51353(1326825754......) = 910757226506761 * c51338(1456838019......)

n=154154: c55434(5405846639......) = 730066092287533 * c55419(7404598976......)

n=154171: c152982(3417137818......) = 274556789455009 * c152968(1244601463......)

n=154205: c123348(1478459852......) = 840981833673071 * c123333(1758016395......)

n=154238: c63086(1124734139......) = 505941502427579 * c63071(2223051744......)

n=154269: c100793(1474698247......) = 253798273168147 * c100778(5810513322......)

n=154286: c70115(3564796660......) = 274533996778207 * c70101(1298490060......)

n=154289: c153443(3412870975......) = 325192362559711 * c153429(1049492967......)

n=154301: c127513(1000000100......) = 178615208131879 * c127498(5598627969......)

n=154311: c102872(9009009009......) = 685414430625403 * c102858(1314388581......)

n=154315: c105793(1111099888......) = 117202725197321 * c105778(9480154040......)

n=154328: c75980(1113836878......) = 128028229375441 * c75965(8699931915......)

n=154353: c98376(3137569029......) = 179964330231001 * c98362(1743439394......)

n=154407: c93561(1109999999......) = 570393105108289 * c93546(1946026328......)

n=154424: c76027(3238151977......) = 240247363249841 * c76013(1347840797......)

n=154438: c75090(4451622798......) = 211089758113939 * c75076(2108876734......)

n=154449: c102155(4394979339......) = 164634278617999 * c102141(2669540861......)

n=154507: c153713(1146649356......) = 752762724377329 * c153698(1523254697......)

n=154536: c50033(2129047571......) = 107717619985753 * c50019(1976508180......)

n=154541: c147163(3235376905......) = 298044749468959 * c147149(1085533937......)

n=154611: c100310(9657973954......) = 327415499694919 * c100296(2949760766......)

n=154636: c76021(5123744314......) = 199844588914409 * c76007(2563864421......)

n=154642: c76669(1186452901......) = 187299829528481 * c76654(6334511377......)

n=154654: c75804(2746952836......) = 467241793464893 * c75789(5879082040......)

n=154668: c51525(9109583119......) = 224051729170441 * c51511(4065839238......)

n=154721: c122761(1000000000......) = 520677320476559 * c122746(1920575298......)

n=154729: c153940(9000000000......) = 350928902606323 * c153926(2564622045......)

n=154732: c76395(1631851149......) = 111841181629981 * c76381(1459078959......)

n=154746: c51562(4390933513......) = 707853870627823 * c51547(6203163810......)

n=154777: c132660(9000000900......) = 655031628403237 * c132646(1373979592......)

n=154785: c77553(3380599316......) = 180596500509631 * c77539(1871907432......)

n=154857: c100617(7690389042......) = 715548135714493 * c100603(1074754954......)

n=154863: c103236(9990000009......) = 463101962731813 * c103222(2157192327......)

n=154868: c66348(4709244859......) = 101194057631801 * c66334(4653677271......)

n=154941: c103286(7268090548......) = 367356762159157 * c103272(1978482852......)

n=154995: c82657(1109988900......) = 109681978637521 * c82643(1012006633......)

n=155000: c60001(1000000000......) = 367914131800001 * c59986(2718025521......)

### February 5, 20242024 年 2 月 5 日 (Makoto Kamada)

n=155001: c79194(5376306509......) = 339121157464321 * c79180(1585364519......)

n=155038: c69690(3909108382......) = 332554022725367 * c69676(1175480708......)

n=155041: c154112(1118747773......) = 186114180473839 * c154097(6011082929......)

n=155045: c112668(5141553788......) = 397255231980311 * c112654(1294269621......)

n=155052: c50112(9999990000......) = 309770503304761 * c50098(3228193095......)

n=155131: c152143(2082244048......) = 553916491239359 * c152128(3759129907......)

n=155139: c103412(2079127622......) = 580605585508759 * c103397(3580963866......)

n=155151: c103428(9990000009......) = 124438327692373 * c103414(8028073179......)

n=155202: c51733(1098901098......) = 731759452331533 * c51718(1501724501......)

n=155217: c100058(4776672828......) = 199154163812893 * c100044(2398480020......)

n=155223: c103464(9999999990......) = 141917503304431 * c103450(7046347178......)

n=155271: c101953(1109999999......) = 193343867189533 * c101938(5741066505......)

n=155285: c114625(1111099999......) = 242674820198201 * p114610(4578554953......)

```\$ ./pfgw64 -tc -q"11111*(10^13-1)*(10^2389-1)*(10^155285-1)/242674820198201/(10^65-1)/(10^11945-1)/(10^31057-1)"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing 11111*(10^13-1)*(10^2389-1)*(10^155285-1)/242674820198201/(10^65-1)/(10^11945-1)/(10^31057-1) [N-1/N+1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 19
Running N-1 test using base 23
Running N+1 test using discriminant 41, base 1+sqrt(41)

Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
11111*(10^13-1)*(10^2389-1)*(10^155285-1)/242674820198201/(10^65-1)/(10^11945-1)/(10^31057-1) is Fermat and Lucas PRP! (802.6272s+0.0064s)
```

n=155315: c124231(8795371599......) = 182800172668271 * c124217(4811467883......)

n=155314: c76589(1007457539......) = 520931989794379 * c76574(1933952145......)

n=155339: c154203(1939942168......) = 118800234672043 * c154189(1632944727......)

n=155359: c151684(7835421600......) = 861806424402089 * c151669(9091857960......)

n=155397: c88313(3331847585......) = 152153155378093 * c88299(2189798547......)

n=155419: c138601(1111111111......) = 176923340741027 * c138586(6280183871......)

n=155459: c153489(1139007798......) = 738140953859557 * c153474(1543076282......)

n=155470: c53268(7384559511......) = 104969503269121 * c53254(7034957089......)

n=155478: c51825(1098901098......) = 159532462308157 * c51810(6888260125......)

n=155487: c103656(9009009009......) = 209321377515511 * c103642(4303912536......)

n=155505: c71030(6619720693......) = 497065031789551 * c71016(1331761493......)

n=155512: c66619(1607751157......) = 325998078328217 * c66604(4931781089......)

n=155515: c117779(1607587378......) = 266039208178841 * c117764(6042670887......)

n=155533: c125341(1525948880......) = 229079232116477 * c125326(6661227499......)

n=155595: c70401(1109988899......) = 106928107928401 * c70387(1038070271......)

n=155613: c103712(3192936609......) = 576437194818169 * c103697(5539088453......)

n=155636: c69108(6812494822......) = 375958599255461 * c69094(1812033249......)

n=155681: c154477(5580961755......) = 194633863301329 * c154463(2867415597......)

n=155680: c52992(9999999999......) = 277850431418561 * c52978(3599058655......)

n=155709: c101081(2126568285......) = 672541395838201 * c101066(3161988686......)

n=155729: c133468(7390372032......) = 218673285155641 * c133454(3379641014......)

n=155758: c76177(1099999999......) = 476655213065813 * c76162(2307747759......)

n=155763: c103639(4527176568......) = 494388623998603 * c103624(9157121238......)

n=155785: c106801(1111099888......) = 146244643099241 * c106786(7597542483......)

n=155796: c51922(1706007618......) = 267791461147321 * c51907(6370657270......)

n=155823: c103872(4731232076......) = 379685803797169 * c103858(1246091381......)

n=155825: c118789(4042277433......) = 529308438082201 * c118774(7636903444......)

n=155837: c136790(3095297989......) = 150840348401161 * c136776(2052035826......)

n=155840: c62188(1013108658......) = 360622155412481 * c62173(2809335598......)

n=155848: c58080(9999999999......) = 421622807980529 * c58066(2371788198......)

n=155876: c63045(2137931174......) = 760732556458141 * c63030(2810358458......)

n=155886: c51945(4051529743......) = 319908653247823 * c51931(1266464567......)

n=155896: c71905(1000099999......) = 686212127673593 * c71890(1457421050......)

n=155906: c77249(1099999999......) = 225492078602207 * c77234(4878220143......)

n=155949: c103047(2713369761......) = 168747719146999 * c103033(1607944554......)

n=155987: c141952(4679409206......) = 340411071830519 * c141938(1374634844......)

# 1260 of 300000 Φn(10) factorizations were finished. 300000 個中 1260 個の Φn(10) の素因数分解が終わりました。

# 213086 of 300000 Φn(10) factorizations were cracked. 300000 個中 213086 個の Φn(10) の素因数が見つかりました。

### February 4, 20242024 年 2 月 4 日 (Makoto Kamada)

n=156021: c102946(4071353032......) = 647438132258347 * c102931(6288404760......)

n=156025: c123240(9999999999......) = 411409956582601 * c123226(2430665529......)

n=156027: c104010(5774002727......) = 681672689691283 * c103995(8470344806......)

n=78023: c68782(1919211794......) = 320811005022773 * c68767(5982375182......)

n=156070: c62425(1099989000......) = 431895832013531 * c62410(2546884962......)

n=156083: c154717(8306964160......) = 175718570110799 * x154703(4727425311......)

n=156083: x154703(4727425311......) = 244195890118547 * c154689(1935915182......)

n=156102: c52033(1098901098......) = 141285803612983 * c52018(7777859280......)

n=156104: c67392(9999000099......) = 239443378290481 * c67378(4175935108......)

n=156126: c52027(2009907565......) = 157515932792011 * c52013(1276002706......)

n=156147: c95040(9009009009......) = 760559596836163 * c95026(1184523743......)

n=156161: c147924(9000000000......) = 663162540772439 * c147910(1357133349......)

n=156159: c104089(3077332900......) = 712702213786027 * c104074(4317838278......)

n=156166: c77272(9416827111......) = 207906704547917 * c77258(4529352303......)

n=156167: c141960(9000000000......) = 172370749556039 * c141946(5221303511......)

n=156184: c66901(8482577108......) = 341226322281041 * c66887(2485909367......)

n=156187: c155355(1073704348......) = 115820521391711 * x155340(9270415427......)

n=156187: x155340(9270415427......) = 121330832800477 * c155326(7640609739......)

n=156186: c52057(1000999998......) = 534308123651293 * c52042(1873450832......)

n=156219: c86688(9009009909......) = 646538340401311 * c86674(1393422376......)

n=156245: c124982(7954597077......) = 738427087077041 * c124968(1077235277......)

n=156252: c50176(9901000000......) = 204303346143109 * c50162(4846225079......)

n=156309: c104180(1169796636......) = 206704603447081 * c104165(5659267462......)

n=156339: c100433(7022125366......) = 519933614968693 * c100419(1350581144......)

n=156357: c104220(9999999990......) = 243558712367281 * c104206(4105786195......)

n=156363: c104240(9009009009......) = 494233771557121 * c104226(1822823434......)

n=156372: c51153(5122871387......) = 192513418140409 * c51139(2661046402......)

n=78217: c71226(5918952610......) = 321040523112119 * c71212(1843677724......)

n=156463: c153079(7325724213......) = 438011679040613 * c153065(1672495178......)

n=156470: c62576(2120673092......) = 961857141157411 * c62561(2204769297......)

n=156481: c144426(4792911603......) = 139842332707169 * x144412(3427368172......)

n=156481: x144412(3427368172......) = 911609827560277 * c144397(3759687608......)

n=156508: c71121(1009999999......) = 367817399215289 * c71106(2745927740......)

n=156512: c76024(1712486312......) = 960562346722273 * c76009(1782795587......)

n=156563: c138591(1176462869......) = 101036727454279 * c138577(1164391304......)

n=156594: c52186(9594767861......) = 162322725123607 * c52172(5910920885......)

n=156599: c155388(3042831138......) = 931582765046839 * c155373(3266302526......)

n=156606: c50898(2905379453......) = 118225674925801 * c50884(2457486037......)

n=156613: c155619(1299265065......) = 360740717837681 * c155604(3601659033......)

n=156652: c78299(1339846265......) = 539893480275089 * c78284(2481686322......)

n=156676: c68630(1294296864......) = 558663445181609 * c68615(2316773856......)

n=156681: c89393(2142221872......) = 423622353959911 * c89378(5056914141......)

n=156696: c52214(9280823053......) = 180200136437329 * c52200(5150286363......)

n=156711: c104466(2613092193......) = 193819658623471 * c104452(1348208025......)

n=156735: c81641(3158512708......) = 447631409644921 * c81626(7056056925......)

n=156754: c72337(1099999999......) = 100924119620663 * c72323(1089927763......)

n=156752: c76781(1274825884......) = 447992664392177 * c76766(2845640086......)

n=52264: c25393(1000099999......) = 123795075151273 * c25378(8078673556......)

n=156803: c151361(4783071498......) = 119298755910839 * c151347(4009322194......)

n=156821: c131028(2037209126......) = 396099929257831 * c131013(5143169630......)

n=156834: c52273(1000999998......) = 131766445765369 * c52258(7596774681......)

n=78428: c33583(5224094107......) = 929058883730489 * c33568(5622995698......)

n=156889: c155694(1687217285......) = 274680055351147 * c155679(6142481963......)

n=156915: c75834(7958123866......) = 158269344976711 * c75820(5028215582......)

n=156944: c73729(1000000009......) = 452283217411009 * c73714(2211004015......)

n=156969: c103033(1001000999......) = 465551524437427 * c103018(2150140097......)

n=156989: c131041(1111110999......) = 111080347539169 * c131027(1000276848......)

n=156988: c72405(1565704211......) = 349559625521549 * c72390(4479076234......)

### February 3, 20242024 年 2 月 3 日 (Makoto Kamada)

n=157047: c95161(1109999999......) = 943108784296603 * c95146(1176958605......)

n=157069: c140387(2437105936......) = 244859793239359 * c140372(9953067035......)

n=157087: c134634(2387211787......) = 575563027444357 * c134619(4147611423......)

n=157091: c142800(9000000000......) = 253311664870133 * c142786(3552935473......)

n=157090: c60010(1015285570......) = 484544076880891 * c59995(2095342031......)

n=157096: c77176(6115438006......) = 640221135057337 * c77161(9552071419......)

n=157094: c67015(3567779173......) = 680085211064771 * c67000(5246076690......)

n=157128: c52369(1000099999......) = 115692145784953 * c52354(8644493480......)

n=157159: c150304(9000000000......) = 111101137001627 * c150290(8100727177......)

n=157192: c67192(5624798291......) = 700557999814961 * c67177(8029025851......)

n=157200: c41582(6630995973......) = 312749961832801 * c41568(2120222792......)

n=157203: c104778(2217331571......) = 294777232552351 * c104763(7522058445......)

n=157205: c120198(5970368259......) = 596453608365761 * c120184(1000977808......)

n=157235: c111347(5042361378......) = 149107534485391 * c111333(3381694557......)

n=157240: c62881(1000099999......) = 209763142935601 * c62866(4767758463......)

n=157236: c52398(1481442115......) = 977811897809701 * c52383(1515058385......)

n=157270: c62905(1099989000......) = 370166345528201 * c62890(2971607260......)

n=78639: c47635(7057521983......) = 210674787078559 * c47621(3349960420......)

n=157276: c65268(6531494672......) = 605400588504629 * c65254(1078871543......)

n=157305: c83889(1109988900......) = 864063083424241 * c83874(1284615581......)

n=157315: c123816(1281245439......) = 858657528384641 * c123801(1492149544......)

n=157319: c154673(4689229397......) = 431028316318841 * c154659(1087916784......)

n=157381: c134868(9982801617......) = 119439192234643 * x134854(8358061898......)

n=157381: x134854(8358061898......) = 852046589854769 * c134839(9809395398......)

n=157438: c78123(9235894184......) = 791420547985601 * c78109(1167002070......)

n=157473: c104970(1441805401......) = 180434044276093 * c104955(7990761429......)

n=157501: c156576(2314538365......) = 880852823405831 * c156561(2627610770......)

n=157515: c84001(1109988900......) = 178897037490601 * c83986(6204624266......)

n=157520: c56940(8676800447......) = 159255129425921 * c56926(5448364821......)

n=157516: c77162(1491173507......) = 846860415725761 * c77147(1760825609......)

n=157569: c102950(3160117024......) = 619354594804591 * c102935(5102274288......)

n=157587: c105034(1762236554......) = 143827039901323 * c105020(1225247043......)

n=157589: c154860(9000000000......) = 122086530617201 * c154846(7371820588......)

n=157586: c60469(1132187914......) = 500471554124543 * c60454(2262242289......)

n=157625: c115188(8755907100......) = 870751066324751 * c115174(1005558010......)

n=157634: c78238(1768630079......) = 127788668794379 * c78224(1384027313......)

n=157641: c89593(1292961414......) = 136694945856613 * c89578(9458736065......)

n=157659: c105104(9009009009......) = 179012557889827 * c105090(5032612859......)

n=157685: c110393(1456030243......) = 706500883490161 * c110378(2060903641......)

n=157688: c75318(7113438702......) = 134401561630873 * c75304(5292675632......)

n=157704: c52520(1212874212......) = 505216425106873 * c52505(2400702258......)

n=157708: c77793(1009999999......) = 172491971365981 * c77778(5855344987......)

n=157741: c156832(9000000000......) = 842628388581241 * c156818(1068086492......)

n=157748: c77947(1067101677......) = 111769838942029 * c77932(9547313371......)

n=157779: c102667(3172151642......) = 175138756595947 * c102653(1811221972......)

n=157785: c82348(7900976488......) = 412556811707281 * c82334(1915124478......)

n=157822: c67616(7054010031......) = 109175561436691 * c67602(6461162130......)

n=157843: c135288(9000000900......) = 882979868202517 * c135274(1019275888......)

n=157871: c128069(1058551179......) = 109886746717357 * c128054(9633110552......)

n=157881: c105252(9009009009......) = 231000370061317 * x105238(3899997652......)

n=157881: x105238(3899997652......) = 776805241432267 * c105223(5020560423......)

n=157887: c102948(3169147885......) = 327273697750357 * c102933(9683478713......)

n=157902: c52626(3866324655......) = 502578232430023 * c52611(7692980725......)

n=157982: c69720(9090909091......) = 387073903312757 * c69706(2348623612......)

### February 1, 20242024 年 2 月 1 日 (Makoto Kamada)

n=158018: c67717(1099999890......) = 116828529099157 * c67702(9415507483......)

n=158022: c52669(1000999998......) = 251039948877127 * c52654(3987413172......)

n=158037: c95745(5722792638......) = 273182344775209 * c95731(2094861819......)

n=158051: c155388(5692446122......) = 299610569538439 * c155374(1899948366......)

n=158057: c156996(9000000000......) = 220660048703467 * c156982(4078672171......)

n=158074: c67705(1000000099......) = 213218588963927 * c67690(4690023064......)

n=158081: c123112(2346042971......) = 165559723584641 * c123098(1417037260......)

n=158095: c108385(1111099888......) = 178060574716081 * c108370(6240010685......)

n=158096: c76779(9526321102......) = 749753490362897 * c76765(1270593765......)

n=158098: c78323(4293439106......) = 681053999515847 * c78308(6304109674......)

n=158110: c62187(8805408374......) = 260058361473571 * c62173(3385935497......)

n=158116: c67753(1009999999......) = 435156450850969 * c67738(2321004314......)

n=158123: c135214(4986454447......) = 131072521108523 * c135200(3804347703......)

n=158124: c52692(7924501303......) = 101883277134181 * c52678(7778019638......)

n=158147: c143660(9999999999......) = 241300102395397 * c143646(4144217056......)

n=158194: c71280(9090909090......) = 830923200907859 * c71266(1094073324......)

n=158207: c133633(1111110999......) = 930360663449197 * c133618(1194279856......)

n=158212: c76879(7118990922......) = 163575055978709 * x76865(4352125010......)

n=158212: x76865(4352125010......) = 675178824435109 * c76850(6445884932......)

n=158219: c144627(8159056447......) = 276612772087997 * c144613(2949631134......)

n=158229: c105434(4044014990......) = 243911997818317 * x105420(1657981168......)

n=158229: x105420(1657981168......) = 520711848349597 * c105405(3184066529......)

n=158240: c59136(9999999999......) = 518381147222401 * c59122(1929082501......)

n=158249: c119232(9000000900......) = 467707720190803 * c119218(1924278884......)

n=158279: c143880(9000000000......) = 367775684897083 * c143866(2447143835......)

n=158283: c102817(1001000999......) = 186979494217951 * c102802(5353533574......)

n=158287: c148960(9000000000......) = 371232328998277 * c148946(2424357820......)

n=158309: c151404(9000000000......) = 558625289667271 * c151390(1611097844......)

n=158326: c66024(9090910000......) = 240772820725207 * c66010(3775721018......)

n=158330: c62160(9091000000......) = 941766937301891 * c62145(9653131406......)

n=158356: c69591(5617575764......) = 479427010662469 * c69577(1171727007......)

n=158376: c52778(7893393022......) = 213203615861017 * c52764(3702279152......)

n=158387: c157166(3865920461......) = 228028426163399 * c157152(1695367777......)

n=158398: c76434(1361672797......) = 271329116690459 * c76419(5018528104......)

n=158396: c67846(2018926003......) = 605058783527941 * c67831(3336743567......)

n=158427: c101809(1001000999......) = 120647160139267 * c101794(8296929648......)

n=158444: c66231(2710191810......) = 501816501635021 * c66216(5400762633......)

n=158499: c96001(1001000999......) = 445733349923467 * c95986(2245739521......)

n=158526: c52822(1099112496......) = 151080185172331 * c52807(7275027462......)

n=158529: c90577(1109999889......) = 215287626139321 * c90562(5155892648......)

n=158554: c72061(1099999999......) = 100118768709851 * c72047(1098695094......)

n=158582: c77101(8083338583......) = 180947208778811 * c77087(4467235851......)

n=158590: c63433(1099989000......) = 186260784468721 * c63418(5905639253......)

n=158600: c57600(9999999999......) = 493540486576801 * c57586(2026176225......)

n=158623: c157235(9513090586......) = 124244633085803 * x157221(7656741663......)

n=158623: x157221(7656741663......) = 383081120557843 * c157207(1998725923......)

n=158655: c72480(9009100000......) = 885446715382951 * c72466(1017463822......)

n=158682: c51786(1849915727......) = 140459100505663 * c51772(1317049390......)

n=158695: c119388(5875208169......) = 128810227927681 * c119374(4561134829......)

n=158723: c148081(4458511871......) = 158670323645653 * x148067(2809921710......)

n=158723: x148067(2809921710......) = 278293221742957 * c148053(1009698221......)

n=158779: c156784(9000000000......) = 367994615207587 * c156770(2445687960......)

n=158826: c52211(5672057153......) = 135433660895419 * c52197(4188070466......)

n=158853: c105886(3820785567......) = 482157195760081 * c105871(7924356623......)

n=158885: c123985(1111099999......) = 299293032013441 * c123970(3712415195......)

n=158893: c136188(9000000900......) = 344034470867557 * c136174(2616017190......)

n=158892: c52954(6356508536......) = 662944170026401 * c52939(9588301434......)

n=158955: c84760(1456620481......) = 823324035204961 * c84745(1769194653......)

n=158995: c127192(9000090000......) = 859503137603471 * c127178(1047127067......)

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