### May 29, 20122012 年 5 月 29 日 (Serge Batalov)

n=86730: c19481(5736336435......) = 17136994490850571 * x19465(3347341004......)

n=86730: x19465(3347341004......) = 1775391682814775481 * c19447(1885409871......)

# ECM B1=250000, sigma=1998175756

n=93240: c20710(1249307599......) = 687095923689403201 * c20692(1818243358......)

# ECM B1=250000, sigma=1645907133

n=95760: c20737(1000000000......) = 4551328609751740321 * c20718(2197160622......)

# ECM B1=50000, sigma=1066720048

n=92400: c19193(2775002697......) = 309714855822810530401 * c19172(8959863067......)

# ECM B1=50000, sigma=1812782883

# 74539 of 100000 Φn(10) factorizations were cracked. 100000 個中 74539 個の Φn(10) の素因数が見つかりました。

### May 28, 20122012 年 5 月 28 日 (Kurt Beschorner)

n=12483: c7771(5011795983......) = 52635083069644093 * x7754(9521778424......)

n=12483: x7754(9521778424......) = 58937480054572184173 * x7735(1615572707......)

# ECM B1=5e4, sigma=738112912

n=12483: x7735(1615572707......) = 512430196619955358369 * c7714(3152766403......)

# ECM B1=5e4, sigma=3468265344

### May 28, 20122012 年 5 月 28 日 (NFS@Home)

n=610: c210(4494548076......) = 455137305294745983623339076793154863893252334886652646220893202880060879281 * p135(9875147617......)

# snfs

# 1048 of 100000 Φn(10) factorizations were finished. 100000 個中 1048 個の Φn(10) の素因数分解が終わりました。

### May 28, 20122012 年 5 月 28 日 (Serge Batalov)

n=87570: c19873(1000999998......) = 533075461961491 * c19858(1877782922......)

# ECM B1=50000, sigma=442692534

n=89880: c20353(1000099999......) = 13349069996641 * c20339(7491907677......)

# ECM B1=50000, sigma=33769368

n=87990: c20065(1098890000......) = 1044381625794566721296373481 * c20038(1052192008......)

# P-1

n=90930: c20737(1098890000......) = 16989302223243919801 * c20717(6468129094......)

# P-1

n=87570: c19858(1877782922......) = 83133562286881 * c19844(2258754311......)

# ECM B1=50000, sigma=3562323438

n=95550: c20130(1419522811......) = 690587217078343271068201 * c20106(2055530099......)

# ECM B1=50000, sigma=4012697312

n=88830: c19854(5271471562......) = 67399034715811 * c19840(7821286439......)

# ECM B1=50000, sigma=2664908171

n=89670: c20154(7434663072......) = 7093204406823842161 * c20136(1048138844......)

# ECM B1=250000, sigma=2302870531

n=91770: c18978(1820104571......) = 17835226313412721265851 * c18956(1020511060......)

# ECM B1=250000, sigma=2401925587

n=91560: c20730(6826802897......) = 227633770613761 * c20716(2999029045......)

# P-1

# 74538 of 100000 Φn(10) factorizations were cracked. 100000 個中 74538 個の Φn(10) の素因数が見つかりました。

### May 26, 20122012 年 5 月 26 日 (Kurt Beschorner)

n=2923: c2804(3078923061......) = 70214172593300381289706186013 * c2775(4385044995......)

# ECM B1=1e6, sigma=948909098

n=2939: c2906(6195233127......) = 6444879122514749266530495806867 * c2875(9612644410......)

# ECM B1=1e6, sigma=974712643

n=2941: c2731(7353374669......) = 8252809180417323588936656933 * c2703(8910147452......)

# ECM B1=1e6, sigma=608431441

n=2951: c2678(2394418933......) = 1793392925247754151225772956256169 * c2645(1335133478......)

# ECM B1=1e6, sigma=3954214399

n=14860L: c2968(3576409999......) = 2488780743440597032917202389845101 * c2935(1437012886......)

# ECM B1=1e6, sigma=2032575349

### May 25, 20122012 年 5 月 25 日 (Kurt Beschorner)

n=12481: c10644(2169609165......) = 39038402888210018306501041 * c10618(5557627887......)

# ECM B1=5e4, sigma=2377774481

n=1068: c349(9448072871......) = 833845535443385228657693694666672878355349 * c308(1133072310......)

# ECM B1=11e7, sigma=3174974279

# The ratio of factored part of (38*10^7476-47)/9-1 was raised from 20.63% to 21.19%.

# The ratio of factored part of 7*10^6409-69-1 was raised from 22.53% to 23.18%.

n=14780M: c2902(7901003041......) = 36990644071321356338684921501 * c2874(2135946329......)

# ECM B1=1e6, sigma=3683116053

### May 25, 20122012 年 5 月 25 日 (Serge Batalov)

n=99888: c33256(2285938561......) = 507158594659660735799020236772273 * c33223(4507344616......)

# ECM B1=1000000, B2=200000000, sigma=8564762573105149

# 507158594659660735799020236772273 is the largest known factor that appears after n=86452.

```Largest known factors that appear after the previous one
1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
2  n=1180M: 75037358034332057078790154693096980495187922731710294362515981973078279750268757439593899891657607361 (NFS@Home / Jan 2, 2012)
3  n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007)
4  n=1980L: 53125155761987678805593513985958923168195287588798092019101 (Yousuke Koide / Jan 8, 2012)
5  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
6  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
7  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
8  n=86452: 570418256605571430441854761295221 (Maksym Voznyy / Apr 27, 2012)
9  n=99888: 507158594659660735799020236772273 (Serge Batalov / May 25, 2012)
10  n=99964: 631238272453319833476562669 (Serge Batalov / May 16, 2012)
11  n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011)
```

### May 24, 20122012 年 5 月 24 日 (Serge Batalov)

n=99890: c34209(1648529901......) = 11921759476470866184961 * c34187(1382790773......)

# ECM B1=1000000, B2=200000000, sigma=36914556285894

### May 23, 20122012 年 5 月 23 日 (Serge Batalov)

n=33302: c16643(6120714331......) = 698228845382512022138407 * x16619(8766057678......)

# ECM B1=1000000, B2=200000000, sigma=7883209601122390

n=33302: x16619(8766057678......) = 78702953844147827872969 * c16597(1113815587......)

# ECM B1=1000000, B2=200000000, sigma=350103480874809

### May 16, 20122012 年 5 月 16 日 (Serge Batalov)

n=33326: c15758(2912997458......) = 20446761567925431493 * x15739(1424674244......)

# ECM B1=1000000, B2=200000000, sigma=5376208582445300

n=33326: x15739(1424674244......) = 12301421739006195507253 * c15717(1158137876......)

# ECM B1=1000000, B2=200000000, sigma=1220026326005701

n=99964: c49105(1009999999......) = 631238272453319833476562669 * c49078(1600029725......)

# ECM B1=1000000, B2=200000000, sigma=6324107506428490

# 631238272453319833476562669 is the largest known factor that appears after n=99380M.

```Largest known factors that appear after the previous one
1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
2  n=1180M: 75037358034332057078790154693096980495187922731710294362515981973078279750268757439593899891657607361 (NFS@Home / Jan 2, 2012)
3  n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007)
4  n=1980L: 53125155761987678805593513985958923168195287588798092019101 (Yousuke Koide / Jan 8, 2012)
5  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
6  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
7  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
8  n=86452: 570418256605571430441854761295221 (Maksym Voznyy / Apr 27, 2012)
9  n=96769: 232405044211150158012128920618163 (Serge Batalov / Jun 2, 2011)
10  n=98345: 31476775338259256593745673622081 (Serge Batalov / Jun 2, 2011)
11  n=99220L: 30847430620382008736997413844941 (Alfred Reich / Dec 19, 2010)
12  n=99380M: 6592290434322258947071767721 (Alfred Reich / Apr 26, 2010)
13  n=99964: 631238272453319833476562669 (Serge Batalov / May 16, 2012)
14  n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011)
```

### May 15, 20122012 年 5 月 15 日 (M.Yamaga)

# via yoyo@home

n=1059: c642(8840498010......) = 18845059790305644506208462756813674936893 * c602(4691148825......)

# ECM B1=110000000, sigma=2302692400

### May 11, 20122012 年 5 月 11 日 (Serge Batalov)

n=5766: c1836(3308332527......) = 104274315198051542548629408277973929 * c1801(3172720454......)

# ECM B1=1000000, sigma=3247336838

### May 9, 20122012 年 5 月 9 日 (Serge Batalov)

n=5882: c2748(3740097242......) = 4568004545617286874649621164767 * c2717(8187595273......)

# ECM B1=500000, B2=100000000, sigma=2603053401920451

### May 8, 20122012 年 5 月 8 日 (Serge Batalov)

n=3376: c1658(5617475722......) = 4141680318531350547940014932753 * c1628(1356327695......)

# ECM B1=3000000, B2=1000000000, sigma=4632880701531239

n=3602: c1769(3284551520......) = 337404209535185765240396972124803971 * c1733(9734767460......)

### May 7, 20122012 年 5 月 7 日 (Serge Batalov)

n=3448: c1708(5836488555......) = 334604559375674569265038978541053577 * c1673(1744294389......)

# ECM B1=500000, B2=100000000 sigma=8011728369711297

### May 7, 20122012 年 5 月 7 日 (Maksym Voznyy)

n=61681: c61681(1111111111......) = 139216722293995279 * c61663(7981161262......)

# mfaktc-repunit

n=61613: c61613(1111111111......) = 36661858208748427 * c61596(3030700475......)

# mfaktc-repunit

n=60353: c60353(1111111111......) = 49937331685150627 * c60336(2225010975......)

# mfaktc

# 74533 of 100000 Φn(10) factorizations were cracked. 100000 個中 74533 個の Φn(10) の素因数が見つかりました。

# 7345 of 9592 Rprime factorizations were cracked. 9592 個中 7345 個の Rprime の素因数が見つかりました。

### May 6, 20122012 年 5 月 6 日 (Serge Batalov)

n=99820M: c15840(3572835377......) = 35301326489630513685208921 * c15815(1012096635......)

# ECM B1=1000000, sigma=924061245

n=98522: c49260(9090909090......) = 1736420748464826317144321167099 * c49230(5235429891......)

# ECM B1=250000, B2=80000000, sigma=2860317445917742

# 74530 of 100000 Φn(10) factorizations were cracked. 100000 個中 74530 個の Φn(10) の素因数が見つかりました。

n=99874: c49906(1482507629......) = 441220927667792572801 * c49885(3360012041......)

n=99870: c26612(9444978746......) = 39431583007184181489702241 * c26587(2395282670......)

# 39431583007184181489702241 is the largest known factor that appears after n=99380M.

```Largest known factors that appear after the previous one
1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
2  n=1180M: 75037358034332057078790154693096980495187922731710294362515981973078279750268757439593899891657607361 (NFS@Home / Jan 2, 2012)
3  n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007)
4  n=1980L: 53125155761987678805593513985958923168195287588798092019101 (Yousuke Koide / Jan 8, 2012)
5  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
6  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
7  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
8  n=86452: 570418256605571430441854761295221 (Maksym Voznyy / Apr 27, 2012)
9  n=96769: 232405044211150158012128920618163 (Serge Batalov / Jun 2, 2011)
10  n=98345: 31476775338259256593745673622081 (Serge Batalov / Jun 2, 2011)
11  n=99220L: 30847430620382008736997413844941 (Alfred Reich / Dec 19, 2010)
12  n=99380M: 6592290434322258947071767721 (Alfred Reich / Apr 26, 2010)
13  n=99870: 39431583007184181489702241 (Serge Batalov / May 6, 2012)
14  n=99874: 20466106492496275108462693 (Alfred Reich / Mar 29, 2010)
15  n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011)
```

n=99878: c49924(4737628956......) = 13586873150252863 * c49908(3486916308......)

n=99914: c49951(3032901215......) = 98327021757497653942607 * c49928(3084504301......)

### May 5, 20122012 年 5 月 5 日 (Serge Batalov)

n=99850: c39912(3492023238......) = 3466896815416536624401 * c39891(1007247525......)

# ECM B1=250000, B2=80000000, sigma=8749721233680630

n=19974: c6637(1381890426......) = 71354110816262539 * c6620(1936665470......)

# ECM B1=250000

n=33310: c13294(4859306436......) = 33961028965749922481 * c13275(1430847823......)

# ECM B1=250000

n=99872: c49920(9999999999......) = 15031176835009 * c49907(6652839035......)

# ECM B1=250000

n=99890: c34224(9091000909......) = 5514610868117891 * c34209(1648529901......)

# ECM B1=250000

# 74529 of 100000 Φn(10) factorizations were cracked. 100000 個中 74529 個の Φn(10) の素因数が見つかりました。

### May 4, 20122012 年 5 月 4 日 (Serge Batalov)

n=99514: c49704(2151758023......) = 773419733239989432211 * c49683(2782134888......)

# ECM B1=250000, B2=80000000, sigma=7320072486933804

n=99574: c49764(3698676264......) = 1627398746517684253 * c49746(2272753541......)

# ECM B1=250000, B2=80000000, sigma=6769561162947175

n=33312: c11060(1485359879......) = 1840675312648142493793 * c11038(8069646339......)

# ECM B1=250000, B2=80000000, sigma=5170465590171823

### May 3, 20122012 年 5 月 3 日 (Serge Batalov)

n=99998: c49976(7883878168......) = 923151458098665458093 * c49955(8540178428......)

# ECM B1=250000, B2=80000000, sigma=2028802673397890

### May 1, 20122012 年 5 月 1 日 (Serge Batalov)

n=99986: c49992(9090909090......) = 9781001521190781949019 * c49970(9294456269......)

# ECM B1=250000, B2=80000000, sigma=663857642663700

n=99266: c49632(9090909090......) = 2987064748903163451463 * c49611(3043425521......)

# ECM B1=250000, B2=80000000, sigma=6586319993065266

n=99662: c49830(9090909090......) = 87947226275228318643011 * c49808(1033677749......)

# ECM B1=250000, B2=80000000, sigma=2025756039529617

# 74527 of 100000 Φn(10) factorizations were cracked. 100000 個中 74527 個の Φn(10) の素因数が見つかりました。

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