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December 31, 2016 2016 年 12 月 31 日 (Makoto Kamada)

n=125328: c35712(9999999900......) = 1847750410291633 * 2695283925546241 * c35682(2007946637......)

n=125334: c37800(9999999990......) = 132522878199851767 * c37783(7545866891......)

n=125424: c38007(5094540402......) = 196386031881937 * c37993(2594146006......)

n=125502: c38565(5137428593......) = 14906866393350049 * c38549(3446350465......)

n=125736: c37440(9999999999......) = 328829163165798548014878793 * c37414(3041092798......)

n=125832: c35609(5975265864......) = 154786786131329017 * c35592(3860320389......)

n=125928: c37431(1873904635......) = 9296036978327353 * c37415(2015810221......)

n=125958: c35958(4362377508......) = 8894167325413114249 * c35939(4904762130......)

n=125994: c36071(5636456387......) = 70630500832651 * c36057(7980201642......)

n=126048: c38391(7394431587......) = 52101714669889 * c38378(1419229987......)

# P-1 B1=1e6

# 139164 of 200000 Φn(10) factorizations were cracked. 200000 個中 139164 個の Φn(10) の素因数が見つかりました。

December 30, 2016 2016 年 12 月 30 日 (Makoto Kamada)

n=124584: c39856(2451245617......) = 1104250446208369 * c39841(2219827599......)

n=124674: c37753(5213596762......) = 2884427694127890105691 * c37732(1807497817......)

n=124698: c35597(2740493425......) = 98872939453681 * c35583(2771732528......)

n=124722: c37440(9999999999......) = 24884939784277 * c37427(4018494754......)

n=124782: c35635(7292660787......) = 2210052936604423 * c35620(3299767469......)

n=124806: c35986(3828953645......) = 12554198529149596832173 * c35964(3049938741......)

n=124824: c35616(9999000100......) = 49866706179361 * c35603(2005145490......)

n=124908: c35651(3075485948......) = 243120670891729 * c35637(1265003891......)

n=124938: c37800(9990010000......) = 1226642738403259 * c37785(8144188757......)

n=124956: c37997(6794740216......) = 165041055033995855989 * c37977(4116999988......)

n=125052: c39163(1979372622......) = 16116440941419589 * c39147(1228169810......)

n=125058: c39456(9100000000......) = 9468853118185571624383 * c39434(9610456394......)

n=125172: c38873(1799325896......) = 22782098062121837401 * c38853(7897981529......)

# P-1 B1=1e6

# 139161 of 200000 Φn(10) factorizations were cracked. 200000 個中 139161 個の Φn(10) の素因数が見つかりました。

December 29, 2016 2016 年 12 月 29 日 (Makoto Kamada)

n=123726: c38784(9100000000......) = 5735603930802601 * c38769(1586580961......)

n=123774: c35280(9999999000......) = 93431475482623573 * c35264(1070303016......)

n=123828: c38772(4579506700......) = 59617196897449 * c38758(7681519659......)

n=123864: c38010(1153223229......) = 81238927230968813281 * c37990(1419545122......)

n=123876: c38871(2458307057......) = 1539129433238435952182089 * c38847(1597206189......)

n=123888: c39408(1310448615......) = 521734243258993 * c39393(2511716708......)

n=123924: c39424(9901000000......) = 6625026382401084349 * c39406(1494484614......)

n=123970: c36954(6722052565......) = 650582603465411 * c36940(1033235830......)

n=124014: c37560(9100000000......) = 4710609152738533076407 * c37539(1931809603......)

n=124062: c36943(4107516851......) = 64175495180474371 * c36926(6400444343......)

n=124068: c35260(1608089008......) = 64404154129561 * c35246(2496871561......)

n=124176: c37993(5514369364......) = 41873828326469550802561 * c37971(1316901173......)

n=124248: c39821(2784710163......) = 42796441750450057 * 81032446871539115761 * c39784(8029960057......)

# P-1 B1=1e6

# 139157 of 200000 Φn(10) factorizations were cracked. 200000 個中 139157 個の Φn(10) の素因数が見つかりました。

December 28, 2016 2016 年 12 月 28 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=58067: c58067(1111111111......) = 159219721100485833239 * c58046(6978476682......)

# ECM B1=11e3, sigma=8021793703702043768

# 139153 of 200000 Φn(10) factorizations were cracked. 200000 個中 139153 個の Φn(10) の素因数が見つかりました。

# 13801 of 17984 Rprime factorizations were cracked. 17984 個中 13801 個の Rprime の素因数が見つかりました。

December 28, 2016 2016 年 12 月 28 日 (Makoto Kamada)

n=123096: c39072(9999000100......) = 1637565110342467681 * c39054(6106016815......)

n=123102: c35122(1371332068......) = 3796894928123443409761 * c35100(3611719824......)

n=123156: c37177(1673823542......) = 1966739125562716429 * c37158(8510653604......)

n=123192: c38969(7120534774......) = 914284817637409 * c38954(7788092547......)

n=123348: c38868(1061227838......) = 676602350456225424698581 * c38844(1568466083......)

n=123384: c39931(4051967670......) = 100050983121443477593 * c39911(4049902903......)

n=123516: c39734(9421968398......) = 159100663269826821812869 * c39711(5922017045......)

n=123618: c37428(2523262512......) = 216295627696192771 * c37411(1166580452......)

# P-1 B1=1e6

# 139152 of 200000 Φn(10) factorizations were cracked. 200000 個中 139152 個の Φn(10) の素因数が見つかりました。

December 27, 2016 2016 年 12 月 27 日 (Makoto Kamada)

n=122360: c37997(3516655103......) = 103048367554107361 * c37980(3412625727......)

n=122382: c37584(9990010000......) = 2123148038206339 * c37569(4705281883......)

n=122508: c39337(2509933295......) = 260869476105371368801 * c39316(9621414251......)

n=122544: c38002(1954380348......) = 5325296815437121 * c37986(3669993272......)

n=122604: c38392(5608050639......) = 15367889334022609 * c38376(3649200301......)

n=122664: c38564(1608909356......) = 46291010606473 * c38550(3475641026......)

n=122706: c38375(4295163461......) = 57384045392094695863 * c38355(7484943649......)

n=122772: c37728(9901000000......) = 12576253379900809 * c37712(7872773950......)

n=122946: c39600(9100000000......) = 167033597723011 * c39586(5448005744......)

# P-1 B1=1e6

# 139151 of 200000 Φn(10) factorizations were cracked. 200000 個中 139151 個の Φn(10) の素因数が見つかりました。

December 26, 2016 2016 年 12 月 26 日 (Makoto Kamada)

n=121584: c37870(4753566087......) = 249695785070396449 * c37853(1903743023......)

n=121746: c39966(2978371415......) = 44641304746345265204131 * c39943(6671783973......)

n=121764: c39744(9901000000......) = 6242495815732201 * c39729(1586064339......)

n=121818: c39936(9100000000......) = 605768224439777324851 * c39916(1502224717......)

n=121854: c38808(9100000000......) = 18761805454796917 * c38792(4850279479......)

n=121866: c38442(1659381495......) = 69965101851743491 * 3402332574286862371 * c38406(6970886457......)

n=122148: c36288(9999999999......) = 3538802432789173369 * c36270(2825814718......)

n=122208: c38016(9999999999......) = 939006074000353 * c38002(1064955837......)

# P-1 B1=1e6

# 139148 of 200000 Φn(10) factorizations were cracked. 200000 個中 139148 個の Φn(10) の素因数が見つかりました。

December 25, 2016 2016 年 12 月 25 日 (Makoto Kamada)

n=121074: c37952(9100000000......) = 74373672900959568859 * c37933(1223551244......)

n=121146: c39594(1632955701......) = 115596015835441 * c39580(1412640124......)

n=121218: c39776(9100000000......) = 197357455849488049 * c39759(4610922835......)

n=121302: c38544(9990010000......) = 4213779137892386010703 * c38523(2370795827......)

n=121446: c37147(8234044472......) = 2507539514036077 * c37132(3283714743......)

# P-1 B1=1e6

# 139143 of 200000 Φn(10) factorizations were cracked. 200000 個中 139143 個の Φn(10) の素因数が見つかりました。

December 24, 2016 2016 年 12 月 24 日 (Makoto Kamada)

n=120294: c38859(2905710984......) = 2605775284686175219 * c38841(1115104207......)

n=120324: c38873(1469395704......) = 302383208625481 * c38858(4859382608......)

n=120354: c36987(1297736005......) = 11073549123421240569361 * c36965(1171924186......)

n=120396: c39290(4412277984......) = 12541116055637461 * c39274(3518249862......)

n=120432: c36864(9999999900......) = 2649553003058209 * c36849(3774221496......)

n=120516: c36080(9999999999......) = 1661808349224578281 * c36062(6017541074......)

n=120564: c37608(3564950514......) = 30046008620861461 * c37592(1186497201......)

n=120612: c36432(9999999999......) = 18080940577969 * c36419(5530685727......)

n=120684: c39415(2291831754......) = 2828525287244929 * c39399(8102567669......)

n=120696: c38997(5090789374......) = 39548306479242073 * c38981(1287233216......)

n=120890: c37425(9809650055......) = 41593282431009983521 * c37406(2358469801......)

# P-1 B1=1e6

# 139140 of 200000 Φn(10) factorizations were cracked. 200000 個中 139140 個の Φn(10) の素因数が見つかりました。

December 23, 2016 2016 年 12 月 23 日 (Makoto Kamada)

n=119802: c38856(2414473516......) = 1321344861431797 * c38841(1827284902......)

n=119814: c37800(9100000000......) = 14802306686887 * c37787(6147690486......)

n=119832: c39925(3564100444......) = 4349115374584743601 * c39906(8195000908......)

n=119844: c39937(1000000999......) = 175467213770304061 * c39919(5699076075......)

n=119874: c39957(1098901098......) = 25240593641524407110317 * c39934(4353705441......)

n=119892: c39136(4483204851......) = 1226029668868485829 * c39118(3656685449......)

n=119904: c39922(4131355165......) = 75374778386004734008321 * c39899(5481084327......)

n=119928: c37711(4930135227......) = 63065317578651390538830777121 * c37682(7817506382......)

n=119946: c39962(2587627833......) = 969646367896307198023 * c39941(2668630460......)

n=119958: c39972(3868938950......) = 949784787283189656518020362124423 * c39939(4073490123......)

n=120018: c39351(6231771183......) = 6059583730758682088131 * c39330(1028415722......)

n=120024: c39956(1094837631......) = 99101769070537 * c39942(1104760936......)

n=120084: c39992(2865923966......) = 5097772630279921 * 25896964703622476341 * c39957(2170877603......)

n=120132: c38640(9999990000......) = 577355385432243735901 * c38620(1732033726......)

n=120186: c36353(2175948785......) = 11908364640263592931 * c36334(1827244001......)

n=120192: c39922(6765924976......) = 158211171579325441 * c39905(4276515311......)

n=120234: c38640(9100000000......) = 13053615220911451 * c38624(6971248842......)

n=120252: c36395(2058381444......) = 1226018303354319687367849 * c36371(1678915753......)

# P-1 B1=1e6

# 139137 of 200000 Φn(10) factorizations were cracked. 200000 個中 139137 個の Φn(10) の素因数が見つかりました。

December 22, 2016 2016 年 12 月 22 日 (Makoto Kamada)

n=119526: c36180(8607168083......) = 67418546268557063317 * c36161(1276676605......)

n=119538: c38295(7994244770......) = 141622922828161 * c38281(5644739291......)

n=119556: c38857(1042267502......) = 176722762772138941 * c38839(5897754686......)

n=119568: c38263(1009748226......) = 18345412280232001 * c38246(5504091221......)

n=119628: c39865(1000000999......) = 703299288343387997269 * c39844(1421871195......)

n=119694: c39897(1098901098......) = 15757755556573 * c39883(6973715862......)

n=119706: c39194(6910865779......) = 16243138836589183 * c39178(4254636895......)

n=119712: c37615(6508338274......) = 2040631588988597569 * c37597(3189374461......)

n=119770: c38977(1099988890......) = 83574184218281 * c38963(1316182623......)

n=119778: c39919(1310638715......) = 4797735564242419 * c39903(2731786063......)

# P-1 B1=1e6

# 139132 of 200000 Φn(10) factorizations were cracked. 200000 個中 139132 個の Φn(10) の素因数が見つかりました。

December 21, 2016 2016 年 12 月 21 日 (Makoto Kamada)

n=119202: c39717(1409664925......) = 629749994111526404653 * c39696(2238451669......)

n=119214: c38448(9990010000......) = 23828299523608717 * c38432(4192498079......)

n=119244: c37584(9901000000......) = 12522201000306337201 * c37565(7906756966......)

n=119256: c39745(1000099999......) = 9147538825488002728380313 * c39720(1093299541......)

n=119268: c39736(1303963767......) = 240996435811155649 * c39718(5410718060......)

n=119286: c38911(4191589157......) = 18140265406063 * c38898(2310654813......)

n=119316: c38874(2963617930......) = 2000450398402827949 * c38856(1481475338......)

n=119346: c39773(4448159759......) = 4939139695380853 * c39757(9005940372......)

n=119350: c36001(1000009999......) = 308746045375294451 * c35983(3238940271......)

n=119412: c38160(9999990000......) = 1523103389481804661 * c38142(6565535911......)

n=119424: c39665(1690884688......) = 182689408171339393 * c39647(9255515718......)

n=119442: c37420(4626949481......) = 10846222965133 * c37407(4265954605......)

# P-1 B1=1e6

# 139129 of 200000 Φn(10) factorizations were cracked. 200000 個中 139129 個の Φn(10) の素因数が見つかりました。

December 20, 2016 2016 年 12 月 20 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=13627: c13627(1111111111......) = 359796365667718210326515597 * c13600(3088166577......)

# ECM B1=5e4, sigma=7062721891012061639

# 139124 of 200000 Φn(10) factorizations were cracked. 200000 個中 139124 個の Φn(10) の素因数が見つかりました。

# 13800 of 17984 Rprime factorizations were cracked. 17984 個中 13800 個の Rprime の素因数が見つかりました。

December 20, 2016 2016 年 12 月 20 日 (Makoto Kamada)

n=118866: c35992(3321335998......) = 968465655646710343 * c35974(3429482480......)

n=118926: c39595(2587156481......) = 1978735635113527 * c39580(1307479602......)

n=119004: c38640(9901000000......) = 19635406675095123361 * c38621(5042421664......)

n=119142: c39709(1000999998......) = 479764524220687 * c39694(2086440219......)

# P-1 B1=1e6

# 139123 of 200000 Φn(10) factorizations were cracked. 200000 個中 139123 個の Φn(10) の素因数が見つかりました。

December 19, 2016 2016 年 12 月 19 日 (Makoto Kamada)

n=118506: c39494(8429954876......) = 171692472888230209 * c39477(4909915231......)

n=118518: c39497(1307760010......) = 11971889548681 * c39484(1092358900......)

n=118554: c39517(1098901098......) = 1928838291809131 * 1953182131640502649 * c39483(2916889962......)

n=118578: c39525(1098901098......) = 12263576626218769 * c39508(8960690118......)

n=118614: c38678(3983583844......) = 7011749014214483167 * c38659(5681298397......)

n=118632: c39523(9228802078......) = 99389371296793 * c39509(9285502018......)

n=118638: c36484(3600660647......) = 997134104428868251 * c36466(3611009423......)

n=118656: c39149(4677087373......) = 22950326202075943710337 * c39127(2037917601......)

n=118686: c38995(3833628929......) = 133534947883201 * c38981(2870880612......)

n=118690: c39335(2379349126......) = 1445646859200239345651 * c39314(1645871611......)

n=118720: c39912(2655870529......) = 1930707392873253121 * c39894(1375594530......)

n=118746: c39520(4323067895......) = 666624519688900990717 * c39499(6485011829......)

n=118752: c39532(3652972561......) = 250967156795828833 * c39515(1455558013......)

n=118788: c37440(9901000000......) = 55425641640586141 * c37424(1786357308......)

n=118812: c39574(1551077015......) = 1128711544037149 * c39559(1374201427......)

n=118836: c39601(1000000999......) = 1354634391563749 * c39585(7382073024......)

n=118842: c38174(5306928500......) = 3526839499612662397 * 11920771635113386651 * c38137(1262272649......)

# P-1 B1=1e6

# 139121 of 200000 Φn(10) factorizations were cracked. 200000 個中 139121 個の Φn(10) の素因数が見つかりました。

December 18, 2016 2016 年 12 月 18 日 (Makoto Kamada)

n=118224: c39361(1000000000......) = 380657857228035472801 * c39340(2627031022......)

n=118236: c38505(1090355470......) = 7498149840638305006321 * c38483(1454166019......)

n=118242: c39403(2821888378......) = 3647015931971197 * c39387(7737526875......)

n=118254: c39409(5340642388......) = 4276637538765718921 * c39391(1248794722......)

n=118302: c39416(4754012828......) = 19431426686039647 * c39400(2446558817......)

n=118332: c37152(9999990000......) = 14962314016981 * c37139(6683451495......)

n=118368: c39145(5756278225......) = 1931993743396609 * c39130(2979449724......)

n=118386: c39457(1000999998......) = 135404372609659 * c39442(7392671150......)

n=118434: c39477(1098901098......) = 11021987373091 * c39463(9970081272......)

n=118446: c37348(1037549810......) = 49042113641080636663 * c37328(2115630289......)

n=118488: c39489(1000099999......) = 18211887851094097513 * c39469(5491468035......)

# P-1 B1=1e6

# 139117 of 200000 Φn(10) factorizations were cracked. 200000 個中 139117 個の Φn(10) の素因数が見つかりました。

December 17, 2016 2016 年 12 月 17 日 (Makoto Kamada)

n=117822: c38582(1050999986......) = 157549699492567 * c38567(6670910767......)

n=117846: c39261(1123745777......) = 61884003856645441 * c39244(1815890548......)

n=117858: c36240(9100000000......) = 134765639889751776049 * c36220(6752463022......)

n=117864: c39265(1000000000......) = 35288097245497 * c39251(2833816720......)

n=117942: c35709(3317962711......) = 54224931242659 * c35695(6118887816......)

n=117954: c39313(1000999998......) = 65528813833759648459 * c39293(1527572285......)

n=117972: c37632(9999990000......) = 3254027502519109 * c37617(3073111703......)

n=117984: c39282(3314675134......) = 5911693486525631535179521 * c39257(5606980710......)

n=118002: c38640(9100000000......) = 2740265008184317321 * c38622(3320846696......)

n=118008: c35511(3902192742......) = 9283603830439615643486283193 * c35483(4203316743......)

n=118026: c38367(4155862504......) = 30869880997807 * c38354(1346251546......)

n=118098: c39360(1302698892......) = 561827165051083750888524121 * c39333(2318682636......)

n=118116: c36864(9999990000......) = 18145362244955761 * c36848(5511044566......)

n=118134: c39373(1000999998......) = 1691176057822686277 * c39354(5918957960......)

# P-1 B1=1e6

# 139112 of 200000 Φn(10) factorizations were cracked. 200000 個中 139112 個の Φn(10) の素因数が見つかりました。

December 16, 2016 2016 年 12 月 16 日 (Makoto Kamada)

n=117528: c38041(2845404580......) = 3435824607741433 * c38025(8281576929......)

n=117530: c38005(2017672925......) = 39842987866453634171 * c37985(5064060287......)

n=117534: c37072(1831663229......) = 500237052000334600807 * c37051(3661590483......)

n=117588: c38080(9901000000......) = 11357618817348612246121 * c38058(8717496298......)

n=117618: c39199(9342887619......) = 3440779944089287 * c39184(2715340059......)

n=117654: c39207(3367018122......) = 78372809370013 * c39193(4296155962......)

n=117670: c39350(9032814453......) = 1975326887790899441 * c39332(4572820078......)

n=117672: c39198(2919737900......) = 10623294323172724153 * c39179(2748429829......)

n=117702: c36139(8487472706......) = 713615688737073501083407 * c36116(1189361842......)

n=117762: c37133(2094358019......) = 125305532745879183030162769 * c37107(1671401073......)

n=117798: c37845(8643746040......) = 23474252286253 * c37832(3682224223......)

n=117816: c39248(5189298969......) = 38505447517126009552979074801 * c39220(1347679173......)

# P-1 B1=1e6

# 139105 of 200000 Φn(10) factorizations were cracked. 200000 個中 139105 個の Φn(10) の素因数が見つかりました。

December 15, 2016 2016 年 12 月 15 日 (NFS@Home)

# via Sam Wagstaff

n=650: c197(8344808873......) = 515598058349426893425512324539506997710608203280700351680904729473604464893512426851 * p114(1618471741......)

# gnfs

# c197 had been the fourth smallest composite cofactor.

# 1128 of 200000 Φn(10) factorizations were finished. 200000 個中 1128 個の Φn(10) の素因数分解が終わりました。

December 15, 2016 2016 年 12 月 15 日 (Makoto Kamada)

n=117174: c38269(3933195378......) = 2891205207361712690167 * c38248(1360399935......)

n=117228: c39073(1009998990......) = 26490285590749 * c39059(3812714613......)

n=117252: c39035(3933890825......) = 2672178327769222747801 * c39014(1472166278......)

n=117258: c39079(9371571469......) = 8589274676643481 * 1122400294794846758401 * c39042(9720937663......)

n=117294: c38528(9100000000......) = 35211710014313809 * c38512(2584367528......)

n=117312: c35328(9999999999......) = 1120951677852366703200001 * c35304(8920991152......)

n=117354: c39110(2754112553......) = 31593517181581383535258051 * c39084(8717334436......)

n=117366: c37787(3343243363......) = 6589157465299936291 * c37768(5073855620......)

n=117378: c39102(2141457706......) = 50664674761617394441 * c39082(4226727431......)

n=117414: c35514(6077398851......) = 327092551948009 * c35500(1858005881......)

n=117468: c36000(9999990000......) = 33633810344573054461 * c35981(2973195691......)

n=117486: c38150(5637384765......) = 120659518086139 * c38136(4672142616......)

# P-1 B1=1e6

# 139104 of 200000 Φn(10) factorizations were cracked. 200000 個中 139104 個の Φn(10) の素因数が見つかりました。

December 14, 2016 2016 年 12 月 14 日 (Makoto Kamada)

n=116964: c36916(1001026318......) = 182968287301046809 * c36898(5471037267......)

n=116976: c38977(1000000009......) = 10910330113393 * c38963(9165625600......)

n=117018: c35267(2524828957......) = 12916817201971 * 1702921680632239849 * c35236(1147841108......)

n=117072: c38881(1000000000......) = 174324423060289 * 415450233333545617 * c38849(1380774494......)

n=117126: c38845(4392814765......) = 36738596531179 * c38832(1195694767......)

# P-1 B1=1e6

# 139100 of 200000 Φn(10) factorizations were cracked. 200000 個中 139100 個の Φn(10) の素因数が見つかりました。

December 13, 2016 2016 年 12 月 13 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=13249: c13249(1111111111......) = 235776211320185158170191317 * c13222(4712566653......)

# B1=5e4, sigma=9542296105151275273

# 139098 of 200000 Φn(10) factorizations were cracked. 200000 個中 139098 個の Φn(10) の素因数が見つかりました。

# 13799 of 17984 Rprime factorizations were cracked. 17984 個中 13799 個の Rprime の素因数が見つかりました。

December 13, 2016 2016 年 12 月 13 日 (Makoto Kamada)

n=116556: c35275(1698922923......) = 23497811458715221 * c35258(7230132584......)

n=116562: c38845(7989499579......) = 21981600598253641 * c38829(3634630491......)

n=116586: c36277(5255048939......) = 82948786847866590499 * c36257(6335293304......)

n=116604: c37440(9999990000......) = 187065489198460959109 * c37420(5345716114......)

n=116628: c38833(1418540741......) = 110240889037104930604553408585809 * c38801(1286764606......)

n=116742: c38913(1098901098......) = 408488037024485893 * c38895(2690167151......)

n=116778: c38919(4705065996......) = 562002815793459889 * 93179673695077930853209 * c38878(8984750937......)

n=116826: c38927(8549444228......) = 5269072973779715107817773 * c38903(1622570852......)

n=116832: c38887(1081175203......) = 707688491693124441062401 * c38863(1527755808......)

# P-1 B1=1e6

# 139097 of 200000 Φn(10) factorizations were cracked. 200000 個中 139097 個の Φn(10) の素因数が見つかりました。

December 12, 2016 2016 年 12 月 12 日 (Makoto Kamada)

n=116286: c38755(1181247009......) = 7302758510444224257836498089 * c38727(1617535356......)

n=116346: c38764(6722515980......) = 23100440359693 * c38751(2910124601......)

n=116406: c37296(9990010000......) = 38892111517620973 * 355283398570785374089 * c37259(7229853314......)

n=116410: c39875(5763342223......) = 111000096229961 * c39861(5192195700......)

n=116418: c38805(1098901098......) = 1346015218175005813 * c38786(8164106052......)

n=116442: c38802(9551718106......) = 168962166217444357 * c38785(5653169772......)

# P-1 B1=1e6

# 139095 of 200000 Φn(10) factorizations were cracked. 200000 個中 139095 個の Φn(10) の素因数が見つかりました。

December 11, 2016 2016 年 12 月 11 日 (Makoto Kamada)

n=115938: c36278(1493281715......) = 9801527887794169 * c36262(1523519325......)

n=115968: c38381(2435779895......) = 186799698961764907009 * c38361(1303952794......)

n=116016: c38657(1000000009......) = 1050465648661023948289 * c38635(9519587920......)

n=116022: c37897(1425787327......) = 7789768048502563563724969 * c37872(1830333481......)

n=116034: c38048(9100000000......) = 16524024637576747117 * c38029(5507132916......)

n=116058: c35721(1378621015......) = 103780229514257797 * c35704(1328404284......)

n=116082: c38682(9581340401......) = 408865409088967 * 299626338224688161215447 * c38644(7821065324......)

n=116094: c35137(5963697784......) = 1565789153856331062401148121 * c35110(3808748942......)

n=116106: c37584(9100000000......) = 80073402789793781413 * c37565(1136457260......)

n=116178: c35899(1721493361......) = 44622929077477 * c35885(3857867236......)

n=116226: c35160(9990010000......) = 13786367819401 * c35147(7246295856......)

n=116238: c38738(5561108105......) = 333576849499656853 * c38721(1667114523......)

# P-1 B1=1e6

# 139093 of 200000 Φn(10) factorizations were cracked. 200000 個中 139093 個の Φn(10) の素因数が見つかりました。

December 10, 2016 2016 年 12 月 10 日 (Makoto Kamada)

n=115734: c38577(1098901098......) = 168594108758954731 * c38559(6518027865......)

n=115782: c36849(1530715475......) = 1162981736286500419 * c36831(1316199066......)

n=115806: c38595(4744557079......) = 887847933419773 * c38580(5343884804......)

n=115818: c38005(4113142527......) = 13751983769407742161 * c37986(2990944867......)

n=115848: c38586(8631993101......) = 27025503586647843414231361 * c38561(3194017485......)

n=115872: c35840(9999999999......) = 794033907639457 * c35826(1259392061......)

# P-1 B1=1e6

# 139089 of 200000 Φn(10) factorizations were cracked. 200000 個中 139089 個の Φn(10) の素因数が見つかりました。

December 9, 2016 2016 年 12 月 9 日 (Makoto Kamada)

n=115428: c38453(6735641530......) = 256641191395621 * c38439(2624536417......)

n=115446: c37800(9100000000......) = 1408323080485683310249459 * c37776(6461585502......)

n=115452: c38426(3992594681......) = 517273789186216369 * c38408(7718532747......)

n=115464: c36064(4119404263......) = 1438448607018248853147071371417 * c36034(2863782719......)

n=115488: c38392(8325873281......) = 5759666515687711020481 * c38371(1445547803......)

n=115506: c35600(3287141786......) = 3086796703879872037 * c35582(1064903879......)

n=115518: c35520(9100000000......) = 150125322448063 * c35506(6061602301......)

n=115524: c38471(3138821984......) = 113008226161709067949 * c38451(2777516373......)

n=115536: c36724(1840646917......) = 3338972170383313 * c36708(5512615330......)

n=115638: c38534(5336482417......) = 336545654859021931 * c38517(1585663739......)

n=115674: c35547(4657483682......) = 100985384543709378259 * c35527(4612037379......)

# P-1 B1=1e6

# 139087 of 200000 Φn(10) factorizations were cracked. 200000 個中 139087 個の Φn(10) の素因数が見つかりました。

December 8, 2016 2016 年 12 月 8 日 (Makoto Kamada)

n=115266: c38388(5400819952......) = 613618911967697197 * c38370(8801586533......)

n=115278: c38414(2105580943......) = 359774599945459440529 * c38393(5852500271......)

n=115296: c38401(1000000000......) = 69594289211514270865516801 * c38375(1436899509......)

n=115308: c38399(4316662610......) = 11840835437403584012461009 * c38374(3645572673......)

n=115314: c38437(1098901098......) = 110548672589371 * c38422(9940427805......)

n=115344: c38002(5979100473......) = 130714599212465211242209 * c37979(4574164255......)

# P-1 B1=1e6

# 139085 of 200000 Φn(10) factorizations were cracked. 200000 個中 139085 個の Φn(10) の素因数が見つかりました。

December 7, 2016 2016 年 12 月 7 日 (Makoto Kamada)

n=114800: c38400(9999999999......) = 4143875194011823201 * c38382(2413200092......)

n=114918: c37728(6964546867......) = 44163172991995411 * c37712(1577003280......)

n=114948: c36690(1063241813......) = 58215441165632281 * c36673(1826391404......)

n=114950: c39600(9999999999......) = 158640956394251 * c39586(6303542431......)

n=114978: c38312(2833087843......) = 1543659018853489 * c38297(1835306767......)

n=114984: c38305(1000000000......) = 166578877693959979759993 * c38281(6003162068......)

n=115014: c36955(1130295777......) = 404762780270881 * c36940(2792489409......)

n=115074: c38323(1025566568......) = 1154909860918245403129 * c38301(8880057250......)

# P-1 B1=1e6

# 139083 of 200000 Φn(10) factorizations were cracked. 200000 個中 139083 個の Φn(10) の素因数が見つかりました。

December 6, 2016 2016 年 12 月 6 日 (Makoto Kamada)

n=114468: c38153(1009998990......) = 301459178949169 * c38138(3350367348......)

n=114504: c35136(9999000100......) = 32022195499934641 * c35120(3122521720......)

n=114678: c36426(2562163171......) = 1385188123209696721 * c36408(1849686066......)

n=114726: c38241(1098901098......) = 324291759867688583689 * c38220(3388618629......)

n=114732: c38224(7386417636......) = 121249495077596194249 * c38204(6091916203......)

n=114762: c36931(3942234234......) = 1161992680183717 * c36916(3392649800......)

n=114792: c38236(1992268526......) = 1934116965737524683649 * c38215(1030066206......)

# P-1 B1=1e6

# 139080 of 200000 Φn(10) factorizations were cracked. 200000 個中 139080 個の Φn(10) の素因数が見つかりました。

December 5, 2016 2016 年 12 月 5 日 (Makoto Kamada)

n=114102: c38009(2169328735......) = 189400686388387069339 * c37989(1145364769......)

n=114186: c38061(1098901098......) = 6623757153815307364407139 * c38036(1659029872......)

n=114216: c38040(2513284946......) = 154207018639011082589353 * c38017(1629812293......)

n=114336: c38017(1000000000......) = 822935869675201 * c38002(1215161517......)

# P-1 B1=1e6

# 139077 of 200000 Φn(10) factorizations were cracked. 200000 個中 139077 個の Φn(10) の素因数が見つかりました。

December 4, 2016 2016 年 12 月 4 日 (Makoto Kamada)

n=113682: c37893(1098901098......) = 166179107215699 * c37878(6612751249......)

n=113706: c37885(5953798314......) = 382421691880256016091 * c37865(1556867312......)

n=113742: c36910(9665094856......) = 3945236030615155933 * c36892(2449814100......)

n=113748: c37894(3465931501......) = 32688751636805325439309 * c37872(1060282613......)

n=113754: c37917(1098901098......) = 13425061496491717 * c37900(8185445550......)

n=113838: c37926(1323986265......) = 795485762302841209 * c37908(1664374560......)

n=113844: c37024(9901000000......) = 111236102940015709 * c37007(8900887156......)

n=113898: c36946(5222357589......) = 1393573819729087 * c36931(3747456730......)

n=113928: c36790(8971272443......) = 6734241138144313 * c36775(1332187585......)

n=113934: c35698(5087277152......) = 31096074770060973769 * c35679(1635986917......)

n=113952: c37941(9739980271......) = 13376127819061780772257 * c37919(7281614233......)

n=114012: c37984(1779471559......) = 1391382386904529 * c37969(1278923447......)

n=114024: c37990(3709435609......) = 7171726356214081 * c37974(5172305000......)

n=114054: c38006(3426443550......) = 1859312565977983 * c37991(1842855049......)

# P-1 B1=1e6

# 139075 of 200000 Φn(10) factorizations were cracked. 200000 個中 139075 個の Φn(10) の素因数が見つかりました。

December 3, 2016 2016 年 12 月 3 日 (Makoto Kamada)

n=113330: c38832(9091000909......) = 166643959576046209167331 * c38809(5455343795......)

n=113346: c37738(2400727174......) = 7282693291246561 * c37722(3296482604......)

n=113364: c36415(1683976321......) = 36213317096182630021 * c36395(4650157613......)

n=113418: c37794(1961279520......) = 2780361020919735361 * c37775(7054046239......)

n=113448: c36288(9999000100......) = 8356604147992206224641 * c36267(1196538680......)

n=113466: c37821(1098901098......) = 516032054418607 * c37806(2129521004......)

n=113514: c37826(5641497855......) = 7568546302460971 * c37810(7453872421......)

n=113532: c37817(3329271677......) = 5869684272229349970949 * c37795(5671977439......)

n=113556: c37849(1009998990......) = 68006668011649 * c37835(1485147000......)

n=113562: c37785(2892361388......) = 51367239047116693 * c37768(5630751121......)

n=113592: c37857(1000099999......) = 13761628628174857 * c37840(7267308448......)

n=113598: c37861(1000999998......) = 22842386033437 * c37847(4382204195......)

n=113664: c36845(2304955754......) = 337287680010241 * c36830(6833797647......)

# P-1 B1=1e6

# 139072 of 200000 Φn(10) factorizations were cracked. 200000 個中 139072 個の Φn(10) の素因数が見つかりました。

December 2, 2016 2016 年 12 月 2 日 (Ray Chandler)

n=71400: p15352(5670284275......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_71400_10

# See also http://stdkmd.com/nrr/repunit/prpfactors.htm

December 2, 2016 2016 年 12 月 2 日 (Makoto Kamada)

n=112962: c36935(3764813127......) = 36482836960756453 * c36919(1031940890......)

n=112968: c37574(5820663006......) = 39621118651921 * c37561(1469080935......)

n=113004: c36271(5993076650......) = 102471518894673529 * c36254(5848529147......)

n=113046: c37053(1693978294......) = 444422440365727 * c37038(3811639872......)

n=113076: c37585(1000000000......) = 38208511907389 * c37571(2617217866......)

n=113120: c38395(4420065328......) = 3160598574165761 * c38380(1398489945......)

n=113214: c37729(5578394223......) = 18952717169826509851 * c37710(2943321621......)

n=113298: c36070(1223791635......) = 139829047559678881 * c36052(8752055860......)

n=113304: c37755(4413328685......) = 53688866200633 * c37741(8220193491......)

# P-1 B1=1e6

# 139066 of 200000 Φn(10) factorizations were cracked. 200000 個中 139066 個の Φn(10) の素因数が見つかりました。

December 1, 2016 2016 年 12 月 1 日 (Makoto Kamada)

n=112542: c37507(2441085678......) = 3928288271780539 * c37491(6214120527......)

n=112548: c36729(4169258328......) = 7861320838662878749 * c36710(5303508678......)

n=112716: c35990(4347175440......) = 2800846212912901 * c35975(1552093585......)

n=112758: c37585(1098901098......) = 35137253532517 * c37571(3127453026......)

n=112818: c37605(1098901098......) = 34690899496207 * c37591(3167692723......)

n=112836: c37609(1009998990......) = 1730477933590044838861 * c37587(5836532037......)

n=112878: c37598(1072181642......) = 1020269346985433307979 * c37577(1050880971......)

n=112884: c35897(2579691318......) = 12052179578389 * c35884(2140435513......)

n=112908: c37216(1710304309......) = 3251016704621641 * c37200(5260829041......)

n=112932: c37626(2951630789......) = 679311077091404342199481 * c37602(4345035564......)

# P-1 B1=1e6

# 139065 of 200000 Φn(10) factorizations were cracked. 200000 個中 139065 個の Φn(10) の素因数が見つかりました。

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