### January 29, 20222022 年 1 月 29 日 (Kurt Beschorner)

n=50037: c30769(1109999999......) = 1093318275376902511 * c30751(1015257885......)

# ECM B1=25e4, sigma=0:2256507446101616

n=50049: c32464(9862139739......) = 7302544935739237 * c32449(1350507230......)

# ECM B1=25e4, sigma=5446918561751670

n=50055: c25746(8415297171......) = 6247886440348591 * c25731(1346903029......)

# ECM B1=25e4, sigma=3131563809668127

n=90013: c69687(3034347623......) = 171018327378803213 * c69670(1774282130......)

# ECM B1=5e4, sigma=3678869096677124

n=90025: c66227(1963738982......) = 424993013021255129811717975151 * c66197(4620638273......)

# ECM B1=5e4, sigma=2015773820214545

# 206925 of 300000 Φn(10) factorizations were cracked. 300000 個中 206925 個の Φn(10) の素因数が見つかりました。

### January 27, 20222022 年 1 月 27 日 (Kurt Beschorner)

n=8271: c5500(7116630894......) = 35850050568522587864386009 * c5475(1985110420......)

# ECM B1=1e6, sigma=1703289085264732

n=102019: c102013(2722797685......) = 189982302672350809 * c101996(1433184905......)

n=102293: c102281(8848743024......) = 2825115583369411043 * c102263(3132170264......)

n=102317: c102292(8691669608......) = 7025580764219174293 * c102274(1237146066......)

n=102409: c102390(1739769612......) = 3499197675452802107 * c102371(4971910061......)

# gr-mfaktc

### January 23, 20222022 年 1 月 23 日 (Ray Chandler)

n=942: c274(1430836916......) = 46362291155014458662283849816585346934219100138220618375160747209 * c209(3086208383......)

# ECM B1=110000000, sigma=3574469845

### January 22, 20222022 年 1 月 22 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=99523: c99523(1111111111......) = 57849947413851404307381187 * c99497(1920677823......)

# ECM B1=5e4, sigma=7034006399617958

# 206924 of 300000 Φn(10) factorizations were cracked. 300000 個中 206924 個の Φn(10) の素因数が見つかりました。

# 19943 of 25997 Rprime factorizations were cracked. 25997 個中 19943 個の Rprime の素因数が見つかりました。

### January 22, 20222022 年 1 月 22 日 (Kurt Beschorner)

n=101527: c101521(1823996387......) = 13620364468072478587 * c101502(1339168559......)

n=101929: c101923(2725201821......) = 176564905144885307 * c101906(1543456112......)

# gr-mfaktc

### January 10, 20222022 年 1 月 10 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=99137: c99137(1111111111......) = 1639736051791412529900829409 * c99109(6776158332......)

# 206923 of 300000 Φn(10) factorizations were cracked. 300000 個中 206923 個の Φn(10) の素因数が見つかりました。

# 19942 of 25997 Rprime factorizations were cracked. 25997 個中 19942 個の Rprime の素因数が見つかりました。

### January 10, 20222022 年 1 月 10 日 (Kurt Beschorner)

n=100391: c100361(2011675386......) = 7868157298058265437 * c100342(2556730006......)

n=100559: c100541(1564085744......) = 263590477221689357 * x100523(5933771815......)

n=100559: x100523(5933771815......) = 335109764237192921 * c100506(1770694992......)

# gr-mfaktc

### January 7, 20222022 年 1 月 7 日 (Kurt Beschorner)

n=296047: x296038(7819078722......) = 1189344462050569751 * x296020(6574275974......)

n=296221: x296204(1090941143......) = 4787940960990672871 * x296185(2278518370......)

n=296273: x296252(6741972604......) = 373328130490351723 * x296235(1805910686......)

n=296369: x296369(1111111111......) = 15001605299454583357 * x296349(7406614751......)

n=296477: x296468(6483934845......) = 90558099225546079 * x296451(7159972328......)

n=296489: x296481(3122968811......) = 471040789080636053 * x296463(6629932871......)

n=296669: x296648(2712298168......) = 553003547096825081 * x296630(4904666856......)

n=296731: x296731(1111111111......) = 97391213260431323 * x296714(1140874082......)

n=296801: x296795(1871808449......) = 6563934626708269439 * x296776(2851656142......)

n=296843: x296827(1792014508......) = 1036524125070526907 * x296809(1728869078......)

n=297359: x297330(1904824948......) = 525965366789915837 * x297312(3621578660......)

n=297371: x297355(5191264994......) = 320672421846527587 * x297338(1618868552......)

n=297371: x297338(1618868552......) = 2721196838599540243 * x297319(5949104929......)

n=297391: x297391(1111111111......) = 16243502748533415599 * x297371(6840341817......)

n=297509: x297487(7265298084......) = 9391901253308777197 * x297468(7735705358......)

n=297613: x297604(1559485877......) = 247747684882602637 * x297586(6294653685......)

n=297629: x297629(1111111111......) = 123992003116436827 * x297611(8961151390......)

# gr-mfaktc

# 206922 of 300000 Φn(10) factorizations were cracked. 300000 個中 206922 個の Φn(10) の素因数が見つかりました。

# 19941 of 25997 Rprime factorizations were cracked. 25997 個中 19941 個の Rprime の素因数が見つかりました。

### January 7, 20222022 年 1 月 7 日 (Ray Chandler)

n=890: c195(3702262252......) = 80855294634541341009709576571189264494703351351547829906051 * p136(4578874233......)

# ECM B1=110000000, sigma=2898407432

```01/05/22 16:56:47 v1.35-beta @ ray-DP7920R2,
01/05/22 16:56:47 v1.35-beta @ ray-DP7920R2, ****************************
01/05/22 16:56:47 v1.35-beta @ ray-DP7920R2, Starting factorization of 370226225239017208040310948258264372769053146670083371298467236130710044679010612527795225976302027358317084723327113351190452192077205240090472180492718497772507661389045012681296077619764549161
01/05/22 16:56:47 v1.35-beta @ ray-DP7920R2, using pretesting plan: normal
01/05/22 16:56:47 v1.35-beta @ ray-DP7920R2, using tune info for qs/gnfs crossover
01/05/22 16:56:47 v1.35-beta @ ray-DP7920R2, ****************************
01/05/22 16:56:48 v1.35-beta @ ray-DP7920R2, rho: x^2 + 3, starting 1000 iterations on C195
01/05/22 16:56:48 v1.35-beta @ ray-DP7920R2, rho: x^2 + 2, starting 1000 iterations on C195
01/05/22 16:56:48 v1.35-beta @ ray-DP7920R2, rho: x^2 + 1, starting 1000 iterations on C195
01/05/22 16:56:48 v1.35-beta @ ray-DP7920R2, pm1: starting B1 = 150K, B2 = gmp-ecm default on C195
01/05/22 16:56:48 v1.35-beta @ ray-DP7920R2, current ECM pretesting depth: 0.00
01/05/22 16:56:48 v1.35-beta @ ray-DP7920R2, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.00
01/05/22 16:56:49 v1.35-beta @ ray-DP7920R2, Finished 30 curves using GMP-ECM method on C195 input, B1=2k, B2=gmp-ecm default
01/05/22 16:56:49 v1.35-beta @ ray-DP7920R2, current ECM pretesting depth: 15.18
01/05/22 16:56:49 v1.35-beta @ ray-DP7920R2, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.00
01/05/22 16:56:52 v1.35-beta @ ray-DP7920R2, Finished 74 curves using GMP-ECM method on C195 input, B1=11k, B2=gmp-ecm default
01/05/22 16:56:52 v1.35-beta @ ray-DP7920R2, current ECM pretesting depth: 20.24
01/05/22 16:56:52 v1.35-beta @ ray-DP7920R2, scheduled 214 curves at B1=50000 toward target pretesting depth of 60.00
01/05/22 16:56:53 v1.35-beta @ ray-DP7920R2, Finished 214 curves using GMP-ECM method on C195 input, B1=50k, B2=gmp-ecm default
01/05/22 16:56:53 v1.35-beta @ ray-DP7920R2, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C195
01/05/22 16:56:54 v1.35-beta @ ray-DP7920R2, current ECM pretesting depth: 25.33
01/05/22 16:56:54 v1.35-beta @ ray-DP7920R2, scheduled 430 curves at B1=250000 toward target pretesting depth of 60.00
01/05/22 16:57:03 v1.35-beta @ ray-DP7920R2, Finished 430 curves using GMP-ECM method on C195 input, B1=250k, B2=gmp-ecm default
01/05/22 16:57:03 v1.35-beta @ ray-DP7920R2, pm1: starting B1 = 15M, B2 = gmp-ecm default on C195
01/05/22 16:57:08 v1.35-beta @ ray-DP7920R2, current ECM pretesting depth: 30.45
01/05/22 16:57:08 v1.35-beta @ ray-DP7920R2, scheduled 904 curves at B1=1000000 toward target pretesting depth of 60.00
01/05/22 16:58:20 v1.35-beta @ ray-DP7920R2, Finished 904 curves using GMP-ECM method on C195 input, B1=1M, B2=gmp-ecm default
01/05/22 16:58:20 v1.35-beta @ ray-DP7920R2, current ECM pretesting depth: 35.56
01/05/22 16:58:20 v1.35-beta @ ray-DP7920R2, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 60.00
01/05/22 17:06:59 v1.35-beta @ ray-DP7920R2, Finished 2350 curves using GMP-ECM method on C195 input, B1=3M, B2=gmp-ecm default
01/05/22 17:06:59 v1.35-beta @ ray-DP7920R2, current ECM pretesting depth: 40.63
01/05/22 17:06:59 v1.35-beta @ ray-DP7920R2, scheduled 4480 curves at B1=11000000 toward target pretesting depth of 60.00
01/05/22 18:06:15 v1.35-beta @ ray-DP7920R2, Finished 4480 curves using GMP-ECM method on C195 input, B1=11M, B2=gmp-ecm default
01/05/22 18:06:15 v1.35-beta @ ray-DP7920R2, current ECM pretesting depth: 45.73
01/05/22 18:06:15 v1.35-beta @ ray-DP7920R2, scheduled 7553 curves at B1=43000000 toward target pretesting depth of 60.00
01/06/22 00:14:32 v1.35-beta @ ray-DP7920R2, Finished 7553 curves using GMP-ECM method on C195 input, B1=43M, B2=gmp-ecm default
01/06/22 00:14:32 v1.35-beta @ ray-DP7920R2, current ECM pretesting depth: 50.86
01/06/22 00:14:32 v1.35-beta @ ray-DP7920R2, scheduled 17769 curves at B1=110000000 toward target pretesting depth of 60.00
01/06/22 20:16:11 v1.35-beta @ ray-DP7920R2, prp59 = 80855294634541341009709576571189264494703351351547829906051 (curve 9559 stg1 B1=110000000 sigma=2898407432 thread=16)
01/06/22 20:21:28 v1.35-beta @ ray-DP7920R2, Finished 9605 curves using GMP-ECM method on C195 input, B1=110M, B2=gmp-ecm default
01/06/22 20:21:28 v1.35-beta @ ray-DP7920R2, final ECM pretested depth: 53.56
01/06/22 20:21:28 v1.35-beta @ ray-DP7920R2, scheduler: switching to sieve method
01/06/22 20:21:28 v1.35-beta @ ray-DP7920R2, PRP136 = 4578874233436492255420074091728599390739701337128105672841258457419967593738672737760634060764636230914653052782313062339754313662352611
01/06/22 20:21:28 v1.35-beta @ ray-DP7920R2, Total factoring time = 98680.1811 seconds
```

# 1197 of 300000 Φn(10) factorizations were finished. 300000 個中 1197 個の Φn(10) の素因数分解が終わりました。

### January 2, 20222022 年 1 月 2 日 (Kurt Beschorner)

n=295037: x295037(1111111111......) = 9088052142450393323 * x295018(1222606443......)

n=295123: x295100(3648442718......) = 2789116429517658197 * x295082(1308099826......)

n=295199: x295193(1881966451......) = 898139448342551431 * x295175(2095405624......)

n=295219: x295212(9409202746......) = 179029601036857369 * x295195(5255668722......)

n=295277: x295263(8207431145......) = 12310809290831993077 * x295244(6666849393......)

n=295357: x295357(1111111111......) = 555198821738324723 * x295339(2001285066......)

n=295433: x295418(1184875573......) = 7374849893532309679 * x295399(1606643647......)

n=295601: x295594(3132349568......) = 135211560924490279 * x295577(2316628509......)

n=295751: x295737(7061044966......) = 483208004863037947 * x295720(1461284766......)

n=295769: x295769(1111111111......) = 1338631409242040591 * x295750(8300351414......)

n=295831: x295807(2713592699......) = 171431668113884557 * x295790(1582900481......)

n=295873: x295864(4682499990......) = 473641046832100439 * x295846(9886178619......)

n=295873: x295846(9886178619......) = 7761372228683153083 * x295828(1273766845......)

n=295951: x295951(1111111111......) = 185838277882204133 * x295933(5978914160......)

n=295961: x295945(8392507407......) = 3173795454694269191 * x295927(2644312630......)

# gr-mfaktc

# 206918 of 300000 Φn(10) factorizations were cracked. 300000 個中 206918 個の Φn(10) の素因数が見つかりました。

# 19937 of 25997 Rprime factorizations were cracked. 25997 個中 19937 個の Rprime の素因数が見つかりました。

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