Changes of Phin10.txt <July 2018>

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July 31, 2018 2018 年 7 月 31 日 (Makoto Kamada)

n=106845: c53504(9009099100......) = 144421807219745641 * c53487(6238046229......)

n=106846: c52071(4662466013......) = 62083870836019 * 203506469332013 * c52043(3690274504......)

n=106874: c53424(1624300030......) = 7540012093799523137287 * c53402(2154240616......)

n=106875: c54001(1000000000......) = 561770193723751 * c53986(1780087322......)

n=106888: c51595(1336644315......) = 2696642910659693318473 * c51573(4956697494......)

n=106906: c53452(9090909090......) = 94545655605047 * c53438(9615364167......)

n=106924: c53437(7481063187......) = 1003041279947501 * c53422(7458380165......)

n=106935: c57006(1123813754......) = 419849801543952988561 * c56985(2676704265......)

n=106936: c53450(4932526151......) = 14351091158449 * 170275577300393 * c53423(2018515608......)

n=106952: c51502(8248089734......) = 22658323874449 * c51489(3640202947......)

# P-1 B1=1e6

# 140303 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140303 個の Φ_n(10) の素因数が見つかりました。

July 10, 2018 2018 年 7 月 10 日 (Maksym Voznyy)

# via https://factordb.com

n=16938: p5604(5899752635......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_16938_10

n=23094: p7612(5282511166......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_23094_10

n=23290: p8614(2739190568......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_23290_10

July 29, 2018 2018 年 7 月 29 日 (Ben Chaffin)

# via https://factordb.com

n=5660M: p1064(4512700250......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_5660M_10

July 29, 2018 2018 年 7 月 29 日 (Alfred Reich)

n=20218: c9155(2751153311......) = 1298843838385017895997731 * c9131(2118155570......)

# ECM B1=110000, sigma=1:2037019582

July 30, 2018 2018 年 7 月 30 日 (Makoto Kamada)

n=106804: c53389(2802264962......) = 1051971102910789 * 6085508150901521 * c53358(4377322436......)

n=106815: c56961(1109988900......) = 12142000320560967361 * c56941(9141730116......)

n=106838: c53412(5005326418......) = 37232207740517 * c53399(1344353913......)

# P-1 B1=1e6

# 140300 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140300 個の Φ_n(10) の素因数が見つかりました。

July 29, 2018 2018 年 7 月 29 日 (Makoto Kamada)

n=106724: c53342(2770401830......) = 1164824006797903141 * c53324(2378386618......)

n=106754: c53356(1824475131......) = 21841029847331 * c53342(8353429961......)

n=106786: c52789(1099999999......) = 1874378199421614531613 * c52767(5868612856......)

n=106798: c52527(6137420058......) = 8438014141610761 * c52511(7273536113......)

# P-1 B1=1e6

# 140299 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140299 個の Φ_n(10) の素因数が見つかりました。

July 28, 2018 2018 年 7 月 28 日 (Alfred Reich)

n=20810: c8321(1099989000......) = 25802947054774198294721 * c8298(4263036302......)

# ECM B1=80000, sigma=0:6543235196441631357

n=20816: c10363(7621420069......) = 85305251139143019626854193 * c10337(8934291813......)

# ECM B1=80000, sigma=0:8048886907927545579

n=21258: c7072(3421606949......) = 3049124611687045590990474037 * c7045(1122160418......)

# ECM B1=80000, sigma=0:2509531683281223698

# 140298 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140298 個の Φ_n(10) の素因数が見つかりました。

July 28, 2018 2018 年 7 月 28 日 (Makoto Kamada)

n=106702: c51596(1030898850......) = 11152786562747486167813 * c51573(9243419519......)

n=106712: c53338(1481727023......) = 41026765928209 * c53324(3611610591......)

# P-1 B1=1e6

July 27, 2018 2018 年 7 月 27 日 (Alfred Reich)

n=21812: c8640(9900990099......) = 62245931250890111129437369 * c8615(1590624463......)

# ECM B1=180000, sigma=1:3302289172

n=22238: c11098(1905937897......) = 2730728650529459111184389887 * c11070(6979594611......)

# ECM B1=170000, sigma=0:3227756378220574099

# 140297 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140297 個の Φ_n(10) の素因数が見つかりました。

July 27, 2018 2018 年 7 月 27 日 (Makoto Kamada)

n=106598: c53292(9475787137......) = 243447495933811619 * c53275(3892332965......)

n=106604: c51394(1125408516......) = 31128719260181 * c51380(3615338323......)

n=106605: c53856(9990000009......) = 306777989701441 * c53842(3256426583......)

n=106622: c52618(4912769314......) = 313484451787997011 * c52601(1567149275......)

n=106635: c56865(1109988900......) = 8867626988339521 * c56849(1251731609......)

n=106642: c52495(3438284358......) = 1851081786327511881283939 * c52471(1857445945......)

n=106646: c53310(3592476242......) = 36762638311859 * c53296(9772084940......)

n=106654: c53317(1678330963......) = 58764835581186983 * 672520271475875957 * c53282(4246730506......)

n=106658: c50177(1099999999......) = 2377586201264089 * c50161(4626540982......)

# P-1 B1=1e6

# 140296 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140296 個の Φ_n(10) の素因数が見つかりました。

July 26, 2018 2018 年 7 月 26 日 (Deltik)

# via yoyo@home

n=5660M: c1103(6181678482......) = 1369840259774549318827876634983169895121 * p1064(4512700250......)

# ECM B1=11000000, sigma=0:8001543717994501796

# 1143 of 200000 Φ_n(10) factorizations were finished. 200000 個中 1143 個の Φ_n(10) の素因数分解が終わりました。

makoto@betelgeuse /cygdrive/c/factorize/Phin10
$ ./pfgw64 -tc -q"((10^283+1)*((10^566+10^283)*(10^283+10^142+3)+10^142+2)-1)/27961/5785499859777282175289741/1369840259774549318827876634983169895121"
PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6]

Primality testing ((10^283+1)*((10^566+10^283)*(10^283+10^142+3)+10^142+2)-1)/27961/5785499859777282175289741/1369840259774549318827876634983169895121 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N-1 BLS with factored part 0.34% and helper 0.06% (1.10% proof)
((10^283+1)*((10^566+10^283)*(10^283+10^142+3)+10^142+2)-1)/27961/5785499859777282175289741/1369840259774549318827876634983169895121 is Fermat and Lucas PRP! (0.1473s+0.0327s)

July 26, 2018 2018 年 7 月 26 日 (Makoto Kamada)

n=106562: c53263(1926341534......) = 25316188383809 * x53249(7609129404......)

# P-1 B1=1e6

July 25, 2018 2018 年 7 月 25 日 (Makoto Kamada)

n=106534: c53256(4143705836......) = 283226487183931 * c53242(1463036129......)

n=106545: c56817(1109988900......) = 243900740847391 * c56802(4550986176......)

n=106556: c50105(9977455889......) = 1425330328353771101 * c50087(7000100741......)

n=106558: c53278(9090909090......) = 238254519636728521 * c53261(3815629229......)

# P-1 B1=1e6

# 140293 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140293 個の Φ_n(10) の素因数が見つかりました。

July 24, 2018 2018 年 7 月 24 日 (Alfred Reich)

n=20908: c10423(1382014307......) = 10341327943605079954428349 * c10398(1336399266......)

# ECM B1=60000, sigma=0:7477642236801360372

n=20966: c9504(6835622018......) = 26280388934805623573985794293 * c9476(2601035332......)

# ECM B1=60000, sigma=0:16237624878057830639

n=21028: c8968(1483919361......) = 93497462282112174080168921 * c8942(1587122607......)

# ECM B1=60000, sigma=0:11811588025935429970

n=21716: c10546(6648516667......) = 17543231956262911185433476349 * c10518(3789790093......)

# ECM B1=80000, sigma=0:8527657917542767021

n=21832: c10884(1460659129......) = 8562754353561823443409 * c10862(1705828602......)

# ECM B1=60000, sigma=0:10068906950080001331

n=21848: c10902(8556958893......) = 633209189088303284742937 * c10879(1351363663......)

# ECM B1=60000, sigma=0:7090384088441064984

n=21852: c7264(6975982782......) = 6524571147543081508609 * c7243(1069186407......)

# ECM B1=60000, sigma=0:18266436083960327868

n=22734: c7544(3030786488......) = 7290655112851104789311309893 * c7516(4157083885......)

# ECM B1=150000, sigma=0:4397857573260219288

n=22740M: c2990(7065958528......) = 11012984661620677660191395761 * c2962(6416025033......)

# ECM B1=130000, sigma=0:13382864800938856751

July 24, 2018 2018 年 7 月 24 日 (Makoto Kamada)

n=106504: c53242(9388371058......) = 153638008932929 * c53228(6110708621......)

n=106516: c51481(1009999999......) = 8393770860496321441 * c51462(1203273256......)

# P-1 B1=1e6

# 140291 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140291 個の Φ_n(10) の素因数が見つかりました。

July 23, 2018 2018 年 7 月 23 日 (Makoto Kamada)

n=106449: c58744(3120655240......) = 41758031301757 * c58730(7473185741......)

n=106462: c53223(1490246344......) = 15514405487073281 * c53206(9605565263......)

n=106466: c53213(1463901676......) = 1994497054554350771 * c53194(7339703375......)

n=106478: c53238(9090909090......) = 278124377193851 * c53224(3268648790......)

# P-1 B1=1e6

# 140290 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140290 個の Φ_n(10) の素因数が見つかりました。

July 22, 2018 2018 年 7 月 22 日 (Makoto Kamada)

n=106395: c55029(1006591696......) = 1717428881579694877492711 * c55004(5861038599......)

n=106408: c51864(5965565456......) = 1108432454776321 * c51849(5381983746......)

n=106412: c51682(4842277998......) = 169256735644861 * c51668(2860907118......)

n=106424: c52001(1000099999......) = 119905875224297 * c51986(8340708894......)

n=106426: c52669(1099999999......) = 17087855726939 * 3688335289634201 * c52640(1745318622......)

n=106432: c53179(9395582197......) = 207949004617537 * c53165(4518214556......)

# P-1 B1=1e6

# 140289 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140289 個の Φ_n(10) の素因数が見つかりました。

July 21, 2018 2018 年 7 月 21 日 (Alfred Reich)

n=20724: c6228(1078844625......) = 39714532857077529375014509 * c6202(2716498340......)

# ECM B1=80000, sigma=1:1686991021

July 20, 2018 2018 年 7 月 20 日 (Alfred Reich)

n=20596: c9683(8577170632......) = 13322234931574825508453125901 * c9655(6438237034......)

# ECM B1=90000, sigma=1:1204106078

n=22282: c10195(6297553633......) = 103993596532747346283550303 * c10169(6055712893......)

# ECM B1=150000, sigma=1:2380583788

July 21, 2018 2018 年 7 月 21 日 (Makoto Kamada)

n=106354: c51841(1099999999......) = 35562273388717 * c51827(3093165580......)

n=106382: c51913(1099999999......) = 2619534933993059 * c51897(4199218669......)

n=106394: c53183(4806126782......) = 1492062174181853 * c53168(3221130369......)

# P-1 B1=1e6

# 140287 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140287 個の Φ_n(10) の素因数が見つかりました。

July 20, 2018 2018 年 7 月 20 日 (Makoto Kamada)

n=106328: c53152(2151926777......) = 1944742617358226449 * c53134(1106535517......)

n=106335: c52992(9990000009......) = 22198943851645776801121 * c52970(4500214098......)

n=106336: c53123(1573214205......) = 16230487748074337 * c53106(9692957042......)

# P-1 B1=1e6

# 140285 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140285 個の Φ_n(10) の素因数が見つかりました。

July 19, 2018 2018 年 7 月 19 日 (Alfred Reich)

n=20288: c10106(5538223991......) = 2334026825590202891713 * c10085(2372819339......)

# ECM B1=70000, sigma=1:2270050055

n=20352: c6632(3648681536......) = 48116567080599967038803050548097 * c6600(7583004687......)

# ECM B1=130000, sigma=0:13307831730755310558

n=21322: c9119(2662364977......) = 205425336874614704573640879819331 * c9087(1296025611......)

# ECM B1=80000, sigma=1:794032181

n=21370: c8545(1099989000......) = 388478069439315082498211 * c8521(2831534355......)

# ECM B1=80000, sigma=1:408495028

n=21808: c10287(8238436599......) = 122110257022995409316801 * c10264(6746719563......)

# ECM B1=110000, sigma=1:1028967840

n=22854: c6996(6794327279......) = 50746581214816685755590931 * c6971(1338873893......)

# ECM B1=80000, sigma=1:1296926895

# 140284 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140284 個の Φ_n(10) の素因数が見つかりました。

July 19, 2018 2018 年 7 月 19 日 (Makoto Kamada)

n=106268: c51348(2302112126......) = 51906802882379429 * c51331(4435087500......)

n=106275: c51840(9999900000......) = 143667515169111905401 * c51820(6960446130......)

n=106292: c53144(9900990099......) = 16415064767599709 * c53128(6031648512......)

# P-1 B1=1e6

# 140283 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140283 個の Φ_n(10) の素因数が見つかりました。

July 18, 2018 2018 年 7 月 18 日 (Makoto Kamada)

n=106215: c55284(5415258988......) = 131408911007071 * c55270(4120922201......)

n=106226: c53091(6617434475......) = 1088256560234089 * 63061546955041087230331 * c53053(9642590768......)

n=106234: c53099(9885351713......) = 651356319625517489 * c53082(1517656529......)

n=106244: c53120(9900990099......) = 195689194879481 * c53106(5059548691......)

n=106245: c56584(1489744797......) = 4403740404934468629393081718951 * c56553(3382907846......)

n=106256: c51073(1000000009......) = 14657615509621079953 * 3907328237283454339037811512495521 * c51020(1746050430......)

# P-1 B1=1e6

# 140281 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140281 個の Φ_n(10) の素因数が見つかりました。

July 17, 2018 2018 年 7 月 17 日 (Makoto Kamada)

n=106196: c52441(1009999999......) = 899560346617769 * c52426(1122770699......)

# P-1 B1=1e6

# 140279 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140279 個の Φ_n(10) の素因数が見つかりました。

July 16, 2018 2018 年 7 月 16 日 (Makoto Kamada)

n=106144: c50867(1402183895......) = 31695629058241 * c50853(4423903032......)

n=106156: c53067(4606979705......) = 84003040904768958057101 * c53044(5484301111......)

n=106166: c52481(7400808477......) = 34188008274906689299 * c52462(2164738120......)

n=106168: c50689(1000099999......) = 184406094865231985969 * 206861225378939830241 * c50648(2621736638......)

n=106185: c56615(8370715354......) = 61905995476808641 * c56599(1352165535......)

# P-1 B1=1e6

# 140278 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140278 個の Φ_n(10) の素因数が見つかりました。

July 15, 2018 2018 年 7 月 15 日 (Alfred Reich)

n=21110: c8403(2075572961......) = 478530730976995861083767251 * c8376(4337386979......)

# ECM B1=70000, sigma=1:972686355

July 15, 2018 2018 年 7 月 15 日 (Makoto Kamada)

n=106035: c56526(3094410622......) = 3003693920934684001 * c56508(1030201713......)

n=106052: c53024(9900990099......) = 4225159122786409 * 22072299076916441 * c52993(1061666184......)

n=106065: c56532(8755782864......) = 30456262888533131761 * c56513(2874871055......)

n=106072: c53024(7663915370......) = 29239281889422081089 * c53005(2621102460......)

n=106076: c50672(1189372971......) = 495197363414489 * c50657(2401816043......)

n=106112: c52992(9999999999......) = 145682285767169 * c52978(6864252539......)

n=106118: c52417(1099999999......) = 3025023880322089601 * c52398(3636334929......)

n=106125: c56394(1472320160......) = 1614647052446577001 * 325797619778344257001 * c56355(2798831464......)

n=106142: c52273(1099999999......) = 709673787983647 * c52258(1550007931......)

# P-1 B1=1e6

# 140277 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140277 個の Φ_n(10) の素因数が見つかりました。

July 14, 2018 2018 年 7 月 14 日 (Alfred Reich)

n=21982: c10549(3479473733......) = 50622458848734982650602087 * c10523(6873379549......)

# ECM B1=170000, sigma=0:926678197985420020

n=20484: c6800(1025079507......) = 250666795385812924777081 * c6776(4089410829......)

# ECM B1=80000, sigma=1:496858062

July 14, 2018 2018 年 7 月 14 日 (Makoto Kamada)

n=105988: c52986(1099013317......) = 538229998577448781 * c52968(2041902756......)

n=106004: c52988(5289623631......) = 182752791069231349 * c52971(2894414690......)

n=106016: c52982(5407325432......) = 178016981718497 * c52968(3037533487......)

n=106024: c51062(7465646691......) = 731035163200289 * c51048(1021243172......)

# P-1 B1=1e6

July 13, 2018 2018 年 7 月 13 日 (Makoto Kamada)

n=105934: c52966(9090909090......) = 20745075873735662773 * c52947(4382200935......)

n=105958: c51241(1099999999......) = 2921071231743570973 * c51222(3765741786......)

n=105964: c51946(2199069431......) = 117255640878021285889 * c51926(1875448733......)

n=105986: c52529(1099999999......) = 1540727943443138369 * c52510(7139482377......)

# P-1 B1=1e6

# 140273 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140273 個の Φ_n(10) の素因数が見つかりました。

July 12, 2018 2018 年 7 月 12 日 (Alfred Reich)

n=21282: c7070(2367109124......) = 6123026134609543028220613 * c7045(3865913801......)

# ECM B1=70000, sigma=0:4320451124584484171

July 12, 2018 2018 年 7 月 12 日 (Makoto Kamada)

n=105844: c51705(1009999999......) = 48780104535366409 * c51688(2070516268......)

n=105855: c56449(1109988900......) = 17305728536763632749921 * c56426(6413996946......)

n=105856: c52852(5988896589......) = 11630314433959553 * c52836(5149384931......)

n=105903: c59041(1000000000......) = 9168745143623563 * c59025(1090661791......)

n=105914: c52956(9090909090......) = 373498426173251 * c52942(2433988593......)

n=105916: c52956(9900990099......) = 23376503036255401 * c52940(4235445345......)

n=105926: c52952(8050882038......) = 11030563969973 * c52939(7298703910......)

n=105932: c52074(1288434741......) = 6622179782056614029 * c52055(1945635401......)

# P-1 B1=1e6

# 140270 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140270 個の Φ_n(10) の素因数が見つかりました。

July 11, 2018 2018 年 7 月 11 日 (Alfred Reich)

n=20346: c6764(1226386725......) = 3808057711085223234947041 * c6739(3220504569......)

# ECM B1=110000, sigma=0:15575883646915429219

n=20390: c8129(4671711963......) = 784328205800814146926651 * c8105(5956322785......)

# ECM B1=100000, sigma=1:2473372291

n=20670: c4964(1772535888......) = 537830459219236587732840331 * c4937(3295714956......)

# ECM B1=80000, sigma=1:939011357

n=20718: c6889(4186771631......) = 2064683426519129512691651884687 * c6859(2027803186......)

# ECM B1=70000, sigma=1:979191081

July 11, 2018 2018 年 7 月 11 日 (Makoto Kamada)

n=105758: c52878(9090909090......) = 1331859086734019 * c52863(6825728923......)

n=105772: c51121(1009999999......) = 425500995457111988801 * c51100(2373672472......)

n=105777: c57018(3148131402......) = 2233845307481846689 * c57000(1409288007......)

n=105782: c52433(1099999999......) = 47092885584343 * c52419(2335809297......)

n=105788: c51786(2727826886......) = 19304998085157456809 * c51767(1413015880......)

n=105796: c52896(9900990099......) = 19744292167709378989 * 93755748356902845461 * c52857(5348588086......)

n=105818: c52417(1099999999......) = 3251936181901733 * c52401(3382600206......)

# P-1 B1=1e6

# 140265 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140265 個の Φ_n(10) の素因数が見つかりました。

July 10, 2018 2018 年 7 月 10 日 (Makoto Kamada)

n=105632: c52800(9999999999......) = 15303338807307023041 * c52781(6534521731......)

n=105652: c51841(1009999999......) = 20095705302258301 * c51824(5025949499......)

n=105662: c50493(2416105829......) = 6732439099647452561 * c50474(3588752596......)

n=105668: c52825(4239775358......) = 5638057761784897129 * c52806(7519921819......)

n=105674: c52836(9090909090......) = 501657027854538197 * c52819(1812176165......)

n=105676: c50954(1124413454......) = 17224818813496681 * c50937(6527868109......)

n=105698: c51513(6231741351......) = 19635758896111487 * c51497(3173669724......)

n=105704: c51841(1000099999......) = 104005728776137 * 17661060162429433 * c51810(5444642838......)

n=105718: c52858(9090909090......) = 26668375550492729 * c52842(3408872457......)

n=105736: c52864(9999000099......) = 473157699126121855969 * c52844(2113248948......)

# P-1 B1=1e6

# 140260 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140260 個の Φ_n(10) の素因数が見つかりました。

July 9, 2018 2018 年 7 月 9 日 (Makoto Kamada)

n=105566: c52748(8711367097......) = 37053622133421059 * c52732(2351016336......)

n=105584: c52764(3030105325......) = 8742433233404462750849 * c52742(3465974797......)

n=105592: c51737(3628873993......) = 344284630805329 * 855764576502481 * 11017780906594937 * c51692(1117907359......)

n=105598: c51337(1099999999......) = 7273751461645337117 * c51318(1512287030......)

n=105615: c56299(4738892492......) = 3410046769933132831 * c56281(1389685482......)

n=105626: c52791(2235261338......) = 136133209892099491 * c52774(1641966232......)

# P-1 B1=1e6

# 140254 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140254 個の Φ_n(10) の素因数が見つかりました。

July 8, 2018 2018 年 7 月 8 日 (Alfred Reich)

n=20490: c5450(2582112777......) = 8949794375317402168564941121 * c5422(2885108493......)

# ECM B1=70000, sigma=1:3087821617

n=20520: c5179(8122091276......) = 20202166797021789716881 * c5157(4020406007......)

# ECM B1=70000, sigma=1:285523358

n=22504: c10753(1000099999......) = 34215852721068385037504921729 * c10724(2922914147......)

# ECM B1=140000, sigma=1:462845903

# 140253 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140253 個の Φ_n(10) の素因数が見つかりました。

July 8, 2018 2018 年 7 月 8 日 (Makoto Kamada)

n=105422: c52704(2463813903......) = 1035861782707279909063 * c52683(2378516076......)

n=105428: c52704(1332846140......) = 11286967819536509 * c52688(1180871747......)

n=105435: c50393(1411386366......) = 25216176151199881 * c50376(5597146681......)

n=105442: c52709(6595125582......) = 17203684886343719411654887 * c52684(3833554047......)

n=105464: c52723(4740457736......) = 1152961726185763657 * c52705(4111548223......)

n=105465: c54912(9009099100......) = 6836067272625361 * c54897(1317877478......)

n=105478: c50425(1099999999......) = 2261939914564009 * c50409(4863082316......)

n=105506: c51935(1737655144......) = 337469734608583 * c51920(5149069580......)

# P-1 B1=1e6

# 140252 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140252 個の Φ_n(10) の素因数が見つかりました。

July 7, 2018 2018 年 7 月 7 日 (Makoto Kamada)

n=105328: c50625(1000000009......) = 74277915672310033 * c50608(1346295195......)

n=105376: c50689(1000000000......) = 1165601186416001 * c50673(8579263745......)

# P-1 B1=1e6

# 140250 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140250 個の Φ_n(10) の素因数が見つかりました。

July 6, 2018 2018 年 7 月 6 日 (Alfred Reich)

n=20476: c10196(1432531674......) = 19774370818671799167389 * c10173(7244385614......)

# ECM B1=60000, sigma=1:3904241389

n=23372: c11675(1947984025......) = 304389234848460318037984381 * c11648(6399648220......)

# ECM B1=170000, sigma=0:14746927916207865958

July 6, 2018 2018 年 7 月 6 日 (Makoto Kamada)

n=105208: c52600(9999000099......) = 768535511680521064892953 * 11713218208891785917045569 * c52552(1110750197......)

n=105232: c52594(2937269529......) = 65919122478257 * c52580(4455868674......)

n=105236: c52606(1419695995......) = 209655203735189 * c52591(6771575282......)

n=105244: c51825(1009999999......) = 140853022241382001 * c51807(7170595163......)

n=105255: c56105(1261305891......) = 652401306548727073015368241 * c56078(1933328273......)

n=105285: c56133(8939967453......) = 32794429820686081 * c56117(2726062780......)

# P-1 B1=1e6

# 140248 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140248 個の Φ_n(10) の素因数が見つかりました。

July 5, 2018 2018 年 7 月 5 日 (Makoto Kamada)

n=105082: c52507(1364213584......) = 69375164114193120779 * 1184703928530248271893521 * c52463(1659848757......)

n=105104: c52539(3171451827......) = 2015718441568177 * c52524(1573360525......)

n=105106: c52552(9090909090......) = 353937636563569 * c52538(2568505903......)

n=105122: c52560(9090909090......) = 33200198119289 * 14658261073779263 * 25094799689727881 * c52514(7443898685......)

n=105124: c51201(1009999999......) = 3533891678793781 * c51185(2858038932......)

n=105134: c52552(1893743067......) = 135479207005081 * c52538(1397810859......)

n=105136: c52550(1292392220......) = 48273289777876947597930645601 * c52521(2677240822......)

n=105165: c51824(5494243724......) = 58096515276271 * c51810(9457096864......)

n=105194: c52087(2272392846......) = 21572467781339 * c52074(1053376400......)

# P-1 B1=1e6

# 140246 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140246 個の Φ_n(10) の素因数が見つかりました。

July 4, 2018 2018 年 7 月 4 日 (NeuralMiner)

# via yoyo@home

n=1319: c1267(3027353550......) = 14390577104652629414853222197261272650807833666740820489 * c1212(2103705451......)

# ECM B1=11000000, sigma=0:9515467317591503677

July 4, 2018 2018 年 7 月 4 日 (Makoto Kamada)

n=105008: c52479(2099618598......) = 1723741923169437973121 * c52458(1218058556......)

n=105034: c52516(9090909090......) = 1052369869088049816253 * c52495(8638511380......)

n=105045: c54464(9009099100......) = 159476624891502096601 * c54444(5649165892......)

n=105068: c52532(9900990099......) = 31678920187910386709 * c52513(3125419061......)

# P-1 B1=1e6

# 140243 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140243 個の Φ_n(10) の素因数が見つかりました。

July 3, 2018 2018 年 7 月 3 日 (Alfred Reich)

n=21762: c6452(1735962464......) = 383001032647022035288307851 * c6425(4532526851......)

# ECM B1=70000, sigma=1:229264215

n=22232: c9505(1000099999......) = 1047215845035662232073361 * c9480(9550084681......)

# ECM B1=90000, sigma=0:11084975619056698861

# 140240 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140240 個の Φ_n(10) の素因数が見つかりました。

July 2, 2018 2018 年 7 月 2 日 (Alfred Reich)

n=21232: c10570(1703857326......) = 396538359371539319559953 * c10546(4296828505......)

# ECM B1=60000, sigma=1:814705366

July 3, 2018 2018 年 7 月 3 日 (Makoto Kamada)

n=104906: c52399(1011822696......) = 214360539735253 * c52384(4720191028......)

n=104912: c51169(1000000009......) = 24845765830577 * c51155(4024830696......)

n=104914: c52456(9090909090......) = 638133098699089727 * c52439(1424610180......)

n=104925: c55921(1000010000......) = 10038631325930701801 * c55901(9961616953......)

n=104926: c50149(1585931134......) = 30348658239563617091 * c50129(5225704284......)

n=104937: c56592(9009009909......) = 617874093213787243 * c56575(1458065649......)

n=104955: c55947(1250499741......) = 586836309651961 * c55932(2130917465......)

n=104966: c50745(1177798395......) = 24269454948811 * c50731(4853007198......)

n=104974: c51697(1099999999......) = 16120699719001 * c51683(6823525151......)

n=104996: c52496(9900990099......) = 4218141020666701 * c52481(2347240182......)

# P-1 B1=1e6

# 140239 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140239 個の Φ_n(10) の素因数が見つかりました。

July 2, 2018 2018 年 7 月 2 日 (Makoto Kamada)

n=104835: c53760(9009099100......) = 59239119320761 * c53747(1520802335......)

n=104836: c52404(6929687603......) = 92271157777369 * 14727078282032341 * c52374(5099541041......)

n=104853: c59899(5293098890......) = 204861893736529 * c59885(2583740096......)

n=104864: c50177(1000000000......) = 195129581600321 * c50162(5124799591......)

n=104865: c55914(4811330666......) = 87522559478551 * c55900(5497246305......)

# P-1 B1=1e6

# 140233 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140233 個の Φ_n(10) の素因数が見つかりました。

July 1, 2018 2018 年 7 月 1 日 (Alfred Reich)

n=20356: c8713(1009999999......) = 1587793507104998910643128469 * c8685(6361028656......)

# ECM B1=80000, sigma=0:11447085118885873060

# 140231 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140231 個の Φ_n(10) の素因数が見つかりました。

June 30, 2018 2018 年 6 月 30 日 (Alfred Reich)

n=20834: c9436(8188309615......) = 61311161055683361613891 * c9414(1335533282......)

# ECM B1=60000, sigma=0:6140371780764675556

n=21252: c5272(4176176723......) = 1085951871643601450414389 * c5248(3845637023......)

# ECM B1=60000, sigma=0:16842072933316354864

July 1, 2018 2018 年 7 月 1 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=24103: c24103(1111111111......) = 5627527839932453599792169 * c24078(1974421349......)

# 140230 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140230 個の Φ_n(10) の素因数が見つかりました。

# 13852 of 17984 R_prime factorizations were cracked. 17984 個中 13852 個の R_prime の素因数が見つかりました。

July 1, 2018 2018 年 7 月 1 日 (Makoto Kamada)

n=104732: c52357(5252023988......) = 1094733412656529 * c52342(4797536941......)

n=104744: c52368(9999000099......) = 31056143639992321 * c52352(3219652837......)

n=104745: c55857(1109988900......) = 288576954734161 * c55842(3846422528......)

n=104752: c52368(9999999900......) = 19391267041921 * c52355(5156960542......)

n=104758: c52378(9090909090......) = 12274116761140921 * c52362(7406568853......)

n=104774: c52367(8182849781......) = 30406792892423 * c52354(2691125568......)

n=104792: c52392(9999000099......) = 13692551186298953 * c52376(7302510659......)

n=104811: c55433(2004408014......) = 49092584650831 * c55419(4082914005......)

n=104816: c52390(1548736740......) = 2167088331625621889 * 3383100151210999526737 * c52350(2112448514......)

# P-1 B1=1e6

# 140229 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140229 個の Φ_n(10) の素因数が見つかりました。

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