### April 30, 20122012 年 4 月 30 日 (Kurt Beschorner)

n=2983: c2797(1085503350......) = 10916586855858135306721190092787 * c2765(9943614840......)

# ECM B1=1e6, sigma=3467841127

n=89519: c89519(1111111111......) = 5609651369390759 * c89503(1980713306......)

# mfactc

n=89909: c89909(1111111111......) = 82098955735260809 * c89892(1353380321......)

# mfactc

# 7342 of 9592 Rprime factorizations were cracked. 9592 個中 7342 個の Rprime の素因数が見つかりました。

### April 28, 20122012 年 4 月 28 日 (Maksym Voznyy)

n=86452: c43192(1735742147......) = 2134025369282221135121 * c43170(8133652827......)

# Prime95 ECM B1=50000, B2=5000000, sigma=6566162904020874

# 2134025369282221135121 is a prime factor of R_86453-1. It will be used to prove the primality of R_86453 in the future.

### April 28, 20122012 年 4 月 28 日 (Kurt Beschorner)

n=2989: c2511(7460064482......) = 39416278406869628711410895443 * c2483(1892635424......)

# ECM B1=1e6, sigma=3985611708

n=89269: c89269(1111111111......) = 87147983999252089 * c89252(1274970527......)

# mfactc

# 7340 of 9592 Rprime factorizations were cracked. 9592 個中 7340 個の Rprime の素因数が見つかりました。

### April 27, 20122012 年 4 月 27 日 (Maksym Voznyy)

n=86452: c43224(9900990099......) = 570418256605571430441854761295221 * c43192(1735742147......)

# Prime95 P-1

# 570418256605571430441854761295221 is a prime factor of R_86453-1. It will be used to prove the primality of R_86453 in the future.

# 570418256605571430441854761295221 is the largest known factor that appears after n=82700L.

```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=99874: 20466106492496275108462693 (Alfred Reich / Mar 29, 2010)
14  n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011)
```

### April 27, 20122012 年 4 月 27 日 (Kurt Beschorner)

n=2909: c2851(3622455233......) = 32681476090729170742648645987 * c2823(1108412368......)

# ECM B1=1e6, sigma=2619504565

### April 26, 20122012 年 4 月 26 日 (Maksym Voznyy)

n=64123: c64123(1111111111......) = 15553238721422827642176906753704641 * c64088(7143921153......)

# Prime95 P-1

n=65111: c65111(1111111111......) = 40189998611652919 * c65094(2764645806......)

# Prime95 P-1

# 7339 of 9592 Rprime factorizations were cracked. 9592 個中 7339 個の Rprime の素因数が見つかりました。

### April 26, 20122012 年 4 月 26 日 (Kurt Beschorner)

n=89021: c89021(1111111111......) = 8357611810673813 * c89005(1329460061......)

# mfaktc

n=89189: c89189(1111111111......) = 53369373110706827 * c89172(2081926480......)

# mfaktc

# 7337 of 9592 Rprime factorizations were cracked. 9592 個中 7337 個の Rprime の素因数が見つかりました。

### April 25, 20122012 年 4 月 25 日 (Kurt Beschorner)

n=2903: c2790(1605547761......) = 3377467159524763583567284852919 * c2759(4753703545......)

# ECM B1=1e6, sigma=1709812425

n=2909: c2880(2855975650......) = 78840881836549365685620771467 * c2851(3622455233......)

# ECM B1=1e6, sigma=2305029924

### April 24, 20122012 年 4 月 24 日 (Maksym Voznyy)

n=62683: c62683(1111111111......) = 87180239117689493 * c62666(1274498811......)

# Prime95 P-1

n=62869: c62869(1111111111......) = 248048617526683601 * c62851(4479408602......)

# Prime95 P-1

n=62873: c62873(1111111111......) = 21674603679880147 * c62856(5126327233......)

# Prime95 P-1

# 7335 of 9592 Rprime factorizations were cracked. 9592 個中 7335 個の Rprime の素因数が見つかりました。

### April 24, 20122012 年 4 月 24 日 (Kurt Beschorner)

n=1063: c1041(2239049147......) = 97084995925935672818356361735759682107 * c1003(2306277222......)

# ECM B1=11e6, sigma=489911917

### April 23, 20122012 年 4 月 23 日 (Maksym Voznyy)

n=62473: c62473(1111111111......) = 937686550339932947 * c62455(1184949395......)

# Prime95 P-1

# 7332 of 9592 Rprime factorizations were cracked. 9592 個中 7332 個の Rprime の素因数が見つかりました。

### April 23, 20122012 年 4 月 23 日 (Kurt Beschorner)

n=91801: c91794(1592562275......) = 72356509790234471 * c91777(2200993773......)

# mfaktc

### April 22, 20122012 年 4 月 22 日 (Maksym Voznyy)

n=62129: c62129(1111111111......) = 3460414838068803529 * c62110(3210918814......)

# Prime95 P-1

# 7331 of 9592 Rprime factorizations were cracked. 9592 個中 7331 個の Rprime の素因数が見つかりました。

### April 21, 20122012 年 4 月 21 日 (Kurt Beschorner)

n=2903: c2841(1903475618......) = 866961226746706175719163 * x2817(2195571796......)

# ECM B1=1e6, sigma=2898921534

n=2903: x2817(2195571796......) = 1367490802700045230681429027 * c2790(1605547761......)

# ECM B1=1e6, sigma=2607979357

### April 21, 20122012 年 4 月 21 日 (Maksym Voznyy)

n=61751: c61751(1111111111......) = 9936817636480717 * c61735(1118176011......)

# Prime95 P-1

n=61879: c61879(1111111111......) = 2968737102673534715221493 * c61854(3742706318......)

# Prime95 P-1

# 7330 of 9592 Rprime factorizations were cracked. 9592 個中 7330 個の Rprime の素因数が見つかりました。

### April 20, 20122012 年 4 月 20 日 (Maksym Voznyy)

n=51361: c51361(1111111111......) = 93266394408224756839 * c51341(1191330616......)

# Prime95 P-1

n=61471: c61471(1111111111......) = 45408706953822649 * c61454(2446912025......)

# Prime95 P-1

n=61547: c61547(1111111111......) = 1012154722888328711 * c61529(1097768044......)

# Prime95 P-1

n=61553: c61553(1111111111......) = 280675589260179324467 * c61532(3958702336......)

# Prime95 P-1

n=56773: c56773(1111111111......) = 2679662348767263110973054679 * c56745(4146459391......)

# Prime95 P-1

# 7328 of 9592 Rprime factorizations were cracked. 9592 個中 7328 個の Rprime の素因数が見つかりました。

### April 19, 20122012 年 4 月 19 日 (Maksym Voznyy)

n=50647: c50647(1111111111......) = 2163832143133258772819009 * c50622(5134922848......)

# Prime95 P-1

n=61141: c61141(1111111111......) = 43638985967643559 * x61124(2546143285......)

n=61141: x61124(2546143285......) = 98040057956606233241 * c61104(2597043839......)

# Prime95 P-1

# 7323 of 9592 Rprime factorizations were cracked. 9592 個中 7323 個の Rprime の素因数が見つかりました。

### April 18, 20122012 年 4 月 18 日 (Maksym Voznyy)

n=55333: c55333(1111111111......) = 3431946085466109997 * c55314(3237554097......)

# Prime95 P-1

n=60611: c60611(1111111111......) = 4435834238059187 * c60595(2504852642......)

# Prime95 P-1

n=60727: c60727(1111111111......) = 3925032863367438339075763 * c60702(2830832631......)

# Prime95 P-1

# 7321 of 9592 Rprime factorizations were cracked. 9592 個中 7321 個の Rprime の素因数が見つかりました。

### April 18, 20122012 年 4 月 18 日 (Kurt Beschorner)

n=12485: c9017(4639010047......) = 15819892720291134332111 * c8995(2932390332......)

# ECM B1=5e4

### April 17, 20122012 年 4 月 17 日 (Maksym Voznyy)

n=49891: c49891(1111111111......) = 8744070540393188293 * c49872(1270702364......)

# Prime95 P-1

# 7318 of 9592 Rprime factorizations were cracked. 9592 個中 7318 個の Rprime の素因数が見つかりました。

### April 17, 20122012 年 4 月 17 日 (Kurt Beschorner)

n=12463: c11189(2708330474......) = 10333368198032025917 * c11170(2620956131......)

# ECM B1=5e4, sigma=3043126702

n=91703: c91684(1810753796......) = 11894793938848519 * c91668(1522307831......)

# mfaktc

### April 16, 20122012 年 4 月 16 日 (Maksym Voznyy)

n=53881: c53881(1111111111......) = 1287061585963352314763761 * c53856(8632928860......)

# Prime95 P-1

n=49057: c49057(1111111111......) = 25464421788457818609283 * c49034(4363386376......)

# Prime95 P-1

n=49169: c49169(1111111111......) = 83357049931926677 * c49152(1332953975......)

# Prime95 P-1

n=53899: c53899(1111111111......) = 261347691064163573 * c53881(4251467103......)

# Prime95 P-1

# 7317 of 9592 Rprime factorizations were cracked. 9592 個中 7317 個の Rprime の素因数が見つかりました。

### April 15, 20122012 年 4 月 15 日 (Maksym Voznyy)

n=59333: c59333(1111111111......) = 4153874780823693533 * c59314(2674878684......)

# Prime95 P-1

# 7313 of 9592 Rprime factorizations were cracked. 9592 個中 7313 個の Rprime の素因数が見つかりました。

### April 14, 20122012 年 4 月 14 日 (Maksym Voznyy)

n=58699: c58699(1111111111......) = 364816165491131672494081 * c58675(3045674003......)

# Prime95 P-1

# 7312 of 9592 Rprime factorizations were cracked. 9592 個中 7312 個の Rprime の素因数が見つかりました。

### April 13, 20122012 年 4 月 13 日 (Yousuke Koide)

n=870: c164(1316853598......) = 4266662839057986102285502119162080638872058454152278425256962985792707796691 * p88(3086378389......)

# gnfs

# c164 was the smallest composite cofactor which includes unknown prime factors.

# 1047 of 100000 Φn(10) factorizations were finished. 100000 個中 1047 個の Φn(10) の素因数分解が終わりました。

### April 13, 20122012 年 4 月 13 日 (Maksym Voznyy)

n=58321: c58321(1111111111......) = 72271187278041687237707 * c58298(1537419202......)

# Prime95 P-1

n=58337: c58337(1111111111......) = 9870279680113764543241 * c58315(1125713907......)

# Prime95 P-1

# 7311 of 9592 Rprime factorizations were cracked. 9592 個中 7311 個の Rprime の素因数が見つかりました。

### April 13, 20122012 年 4 月 13 日 (Kurt Beschorner)

n=12445: c9350(5393471813......) = 135667967049625081 * c9333(3975493943......)

n=12447: c8273(6925917128......) = 2386295240864941803277 * c8252(2902372267......)

# ECM B1=5e4, sigma=3038201187

n=91631: c91624(3368312926......) = 6298288553650963 * x91608(5347981277......)

n=91631: x91608(5347981277......) = 438585048694376483 * c91591(1219371543......)

# mfaktc

### April 12, 20122012 年 4 月 12 日 (Kurt Beschorner)

n=12449: c12168(2483359574......) = 404447949532013 * c12153(6140121558......)

### April 12, 20122012 年 4 月 12 日 (Maksym Voznyy)

n=58031: c58031(1111111111......) = 879189963114485683 * c58013(1263789576......)

# Prime95 P-1

n=52253: c52253(1111111111......) = 12214591040054317 * c52236(9096588723......)

# Prime95 P-1

n=58129: c58129(1111111111......) = 3474595627118556381482917 * c58104(3197814164......)

# Prime95 P-1

# 7309 of 9592 Rprime factorizations were cracked. 9592 個中 7309 個の Rprime の素因数が見つかりました。

### April 11, 20122012 年 4 月 11 日 (Maksym Voznyy)

n=41221: c41221(1111111111......) = 92004994512020503681 * c41201(1207663906......)

# Prime95 P-1

n=43943: c43943(1111111111......) = 150705495356573340283903637 * c43916(7372731223......)

# Prime95 P-1

# 7306 of 9592 Rprime factorizations were cracked. 9592 個中 7306 個の Rprime の素因数が見つかりました。

### April 9, 20122012 年 4 月 9 日 (Kurt Beschorner)

n=2897: c2886(1608215248......) = 1643068679165641252081369 * c2861(9787875995......)

# ECM B1=1e6, sigma=662263966

n=12439: c10656(9000000900......) = 1202276159717709326602003 * x10632(7485801683......)

# ECM B1=5e4, sigma=1932095133

n=12439: x10632(7485801683......) = 1196775410009564935617035963 * c10605(6254976180......)

# ECM B1=5e4, sigma=2357329390

n=12443: c11860(7574433478......) = 35745570759457804308896751253 * c11832(2118985182......)

# ECM B1=5e4, sigma=3861941394

### April 3, 20122012 年 4 月 3 日 (Kurt Beschorner)

n=12048: c3974(1758468771......) = 127723473804692368677776045330032228801 * c3936(1376778065......)

# ECM B1=25e4, sigma=3262081371

n=12443: c11880(9000000000......) = 118820767589790944123 * c11860(7574433478......)

# ECM B1=5e4, sigma=3397152946

n=12465: c6592(1217256807......) = 31651742645625296881 * c6572(3845781324......)

# ECM B1=5e4, sigma=1827581077

n=91381: c91357(1235746786......) = 578632788772129867 * c91339(2135632148......)

# ECM B1=12e3, sigma=4000508797

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