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November 29, 2021 2021 年 11 月 29 日 (Makoto Kamada)

n=12575: c10017(7250365025......) = 23012518928951 * c10004(3150617734......)

November 28, 2021 2021 年 11 月 28 日 (Kurt Beschorner)

n=283553: x283547(1959261852......) = 204697891689599603 * x283529(9571480369......)

n=283573: x283523(5716175776......) = 1039331475589281241 * x283505(5499858236......)

n=283637: x283625(5994298729......) = 2651405655306075277 * x283607(2260800310......)

n=283669: x283659(1095582965......) = 15319988841290678803 * x283639(7151330050......)

n=283741: x283718(1566326461......) = 167253790701960227 * x283700(9364968378......)

n=283741: x283700(9364968378......) = 1503041387479074991 * x283682(6230678979......)

n=283769: x283747(1486356012......) = 173802703622009027 * x283729(8551972909......)

n=283859: x283842(6453867338......) = 3644575238591606471 * x283824(1770814680......)

n=284041: x284019(1431197307......) = 83614019252912431 * x284002(1711671464......)

n=284131: x284131(1111111111......) = 17977335384299386289 * x284111(6180621807......)

n=284159: x284151(1714988535......) = 436766746522505957 * x284133(3926554731......)

n=284159: x284133(3926554731......) = 481155496229463791 * x284115(8160677291......)

n=284173: x284153(3276986261......) = 12957657872550097237 * x284134(2528995821......)

n=284201: x284201(1111111111......) = 1254581461998895721 * x284182(8856428576......)

n=284231: x284224(6515301870......) = 9471971273019466969 * x284205(6878506788......)

n=284267: x284267(1111111111......) = 113830695254481449 * x284249(9761085167......)

n=284573: x284556(2463012450......) = 338389194105733093 * x284538(7278638010......)

# gr-mfaktc

# 206879 of 300000 Φn(10) factorizations were cracked. 300000 個中 206879 個の Φn(10) の素因数が見つかりました。

# 19900 of 25997 Rprime factorizations were cracked. 25997 個中 19900 個の Rprime の素因数が見つかりました。

November 28, 2021 2021 年 11 月 28 日 (Makoto Kamada)

n=27782: c13354(5456874026......) = 54460231669379 * c13341(1001992437......)

November 27, 2021 2021 年 11 月 27 日 (Makoto Kamada)

n=28314: c7883(3404204809......) = 81255451596463 * c7869(4189509432......)

November 24, 2021 2021 年 11 月 24 日 (Kurt Beschorner)

n=1789: c1726(3942837499......) = 64056025886889373277419436256019351 * x1691(6155295219......)

# ECM B1=11e6, sigma=0:2109008035502416

n=1789: x1691(6155295219......) = 105700953104805896168083326362115409 * c1656(5823310991......)

# ECM B1=11e6, sigma=0:1163849328483425

n=282281: x282271(2108747504......) = 3050254332577171723 * x282252(6913349756......)

n=282287: x282287(1111111111......) = 291027295969725319 * x282269(3817893120......)

n=282307: x282295(9174546909......) = 244936864284490867 * x282278(3745678273......)

n=282307: x282278(3745678273......) = 3410622839598329239 * x282260(1098238782......)

n=282407: x282390(1525759470......) = 8476224149782040747 * x282371(1800046156......)

n=282911: x282885(2299365923......) = 15177282624379078237 * x282866(1515005011......)

n=283001: x283001(1111111111......) = 4476346391068715719 * x282982(2482183044......)

n=283051: x283036(5559916574......) = 279882983394401837 * x283019(1986514687......)

n=283193: x283180(1574377912......) = 11106405609309149599 * x283161(1417540443......)

n=283463: x283455(4666398320......) = 1889138653494504253 * x283437(2470119550......)

# gr-mfaktc

# 206876 of 300000 Φn(10) factorizations were cracked. 300000 個中 206876 個の Φn(10) の素因数が見つかりました。

# 19897 of 25997 Rprime factorizations were cracked. 25997 個中 19897 個の Rprime の素因数が見つかりました。

November 21, 2021 2021 年 11 月 21 日 (Makoto Kamada)

n=33678: c11213(1857666689......) = 66807710608447 * c11199(2780617196......)

November 19, 2021 2021 年 11 月 19 日 (Kurt Beschorner)

n=100045: c67840(9000090000......) = 920335596580080187321 * c67819(9779139299......)

# ECM B1=5e4, sigma=0:4821021755754696

n=281167: x281125(3953549103......) = 15075142104267073253 * x281106(2622561748......)

n=281717: x281708(8216809059......) = 1736533992761916239 * x281690(4731729464......)

n=281767: x281754(3698637078......) = 85681058131855679 * x281737(4316750001......)

n=281849: x281826(4306054951......) = 2462446307239244279 * x281808(1748689885......)

n=281893: x281886(9854006003......) = 11723432649062896561 * x281867(8405393111......)

n=282229: x282214(1198397380......) = 855841341434890933 * x282196(1400256475......)

# gr-mfaktc

# 206874 of 300000 Φn(10) factorizations were cracked. 300000 個中 206874 個の Φn(10) の素因数が見つかりました。

November 20, 2021 2021 年 11 月 20 日 (Makoto Kamada)

n=35048: c16065(2312337619......) = 23786075823017 * c16051(9721391780......)

n=34450: c12480(9999900000......) = 73553835789851 * c12467(1359534807......)

# 206873 of 300000 Φn(10) factorizations were cracked. 300000 個中 206873 個の Φn(10) の素因数が見つかりました。

November 19, 2021 2021 年 11 月 19 日 (Makoto Kamada)

n=37236: c11872(9901000000......) = 58036879064869 * c11859(1705984222......)

n=36768: c12213(1029110316......) = 67199519397793 * c12199(1531425113......)

# 206872 of 300000 Φn(10) factorizations were cracked. 300000 個中 206872 個の Φn(10) の素因数が見つかりました。

November 18, 2021 2021 年 11 月 18 日 (Makoto Kamada)

n=39354: c11232(9100000909......) = 22813607344459 * c11219(3988847871......)

n=38598: c11005(2114543986......) = 33156299220619 * c10991(6377503026......)

n=38764: c17585(2267862019......) = 25134565854509 * c17571(9022881208......)

# 206871 of 300000 Φn(10) factorizations were cracked. 300000 個中 206871 個の Φn(10) の素因数が見つかりました。

November 15, 2021 2021 年 11 月 15 日 (Kurt Beschorner)

n=33347: c33336(5334852083......) = 2641792682087801512951 * c33315(2019406034......)

# ECM B1=5e4, sigma=3172914214415077

n=280249: x280249(1111111111......) = 412759029324961399 * x280231(2691912307......)

n=280339: x280339(1111111111......) = 271113910304731729 * x280321(4098318341......)

n=280373: x280362(9906446153......) = 7884687960871150523 * x280344(1256415752......)

n=280409: x280409(1111111111......) = 3621994722506168923 * x280390(3067677333......)

n=280411: x280411(1111111111......) = 16881827204335034351 * x280391(6581699348......)

n=280487: x280487(1111111111......) = 3360219665281929397 * x280468(3306662128......)

n=280591: x280578(9690307625......) = 10573330224998013049 * x280559(9164858582......)

n=280697: x280658(5307141614......) = 268238999630183333 * x280641(1978512305......)

n=280879: x280859(1372755612......) = 17627784353036854561 * x280839(7787454081......)

n=280883: x280871(7135552650......) = 3770109102985794973 * x280853(1892664762......)

n=280933: x280933(1111111111......) = 152692103379160841 * x280915(7276807945......)

n=280933: x280915(7276807945......) = 481715365806662431 * x280898(1510603244......)

n=280949: x280938(4386284827......) = 157328530691067893 * x280921(2787978002......)

n=280957: x280943(1712573146......) = 5031235475168347519 * x280924(3403881919......)

n=280963: x280948(3845705257......) = 324614190141936397 * x280931(1184700291......)

# gr-mfaktc

# 206870 of 300000 Φn(10) factorizations were cracked. 300000 個中 206870 個の Φn(10) の素因数が見つかりました。

# 19895 of 25997 Rprime factorizations were cracked. 25997 個中 19895 個の Rprime の素因数が見つかりました。

November 14, 2021 2021 年 11 月 14 日 (Kurt Beschorner)

n=279119: x279119(1111111111......) = 183015281953366151 * x279101(6071138427......)

n=279137: x279137(1111111111......) = 75759071518453787 * x279120(1466637709......)

n=279413: x279407(1988291745......) = 12339159996284537693 * x279388(1611367180......)

n=279479: x279471(1399877278......) = 849859790552306683 * x279453(1647186151......)

n=279551: x279525(2796919279......) = 1072989027811536071 * x279507(2606661584......)

n=279863: x279863(1111111111......) = 133935968717202107 * x279845(8295838091......)

n=279863: x279845(8295838091......) = 14606124097373260409 * x279826(5679698485......)

n=279967: x279951(1269812278......) = 230683630728214523 * x279933(5504561700......)

n=280129: x280122(9916057597......) = 1349629409879340173 * x280104(7347244751......)

n=280139: x280131(5832771739......) = 1339989672992673929 * x280113(4352848277......)

# gr-mfaktc

# 206864 of 300000 Φn(10) factorizations were cracked. 300000 個中 206864 個の Φn(10) の素因数が見つかりました。

# 19889 of 25997 Rprime factorizations were cracked. 25997 個中 19889 個の Rprime の素因数が見つかりました。

November 14, 2021 2021 年 11 月 14 日 (Makoto Kamada)

n=41426: c16045(2981619658......) = 22279935425903 * c16032(1338253276......)

n=20797: c17813(3308522565......) = 49054128847067 * c17799(6744636269......)

n=20841: c13862(3788171856......) = 65592799812427 * c13848(5775286109......)

November 10, 2021 2021 年 11 月 10 日 (Kurt Beschorner)

n=10005: c4899(8518478637......) = 106466200135338392760555275314323121 * c4864(8001110800......)

# ECM B1=1e6, sigma=0:79662971413339

n=278087: x278087(1111111111......) = 832695079285413997 * x278069(1334355322......)

n=278111: x278111(1111111111......) = 158699393861705533 * x278093(7001356993......)

n=278149: x278149(1111111111......) = 2600222459551020929 * x278130(4273138657......)

n=278209: x278197(4920957656......) = 772619624115800893 * x278179(6369185435......)

n=278353: x278328(1138225584......) = 366059049732818597 * x278310(3109404304......)

n=278363: x278352(5167776433......) = 724050790388717317 * x278334(7137312052......)

n=278363: x278334(7137312052......) = 923445773550766693 * x278316(7728999641......)

n=278563: x278563(1111111111......) = 2981688291870585643 * x278544(3726449589......)

n=278639: x278617(1238543808......) = 2405297960535330163 * x278598(5149232357......)

n=278743: x278743(1111111111......) = 216257133370458437 * x278725(5137916580......)

n=278807: x278793(2065546186......) = 16777830825056234281 * x278774(1231116351......)

# gr-mfaktc

# 206861 of 300000 Φn(10) factorizations were cracked. 300000 個中 206861 個の Φn(10) の素因数が見つかりました。

# 19886 of 25997 Rprime factorizations were cracked. 25997 個中 19886 個の Rprime の素因数が見つかりました。

November 7, 2021 2021 年 11 月 7 日 (Ray Chandler)

# It has been proved that Phi(32481,10) is a prime number.

# https://stdkmd.net/nrr/cert/Phi/#CERT_PHI_32481_10

November 11, 2021 2021 年 11 月 11 日 (Makoto Kamada)

n=43470: c9493(3753168516......) = 40603324032811 * c9479(9243500639......)

n=43588: c20467(4725356817......) = 70413029871269 * c20453(6710912491......)

n=43734: c14106(1368921480......) = 26185471539223 * c14092(5227790070......)

n=43992: c13235(8726842850......) = 32341907067913 * c13222(2698308059......)

November 8, 2021 2021 年 11 月 8 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=43159: c43159(1111111111......) = 107627158513823342902276631 * c43133(1032370571......)

# ECM B1=5e4, sigma=6610380898161236

n=43441: c43422(1303724663......) = 21863165346803581172782412899187 * c43390(5963110296......)

# ECM B1=5e4, sigma=0:1076509070355461

# 206856 of 300000 Φn(10) factorizations were cracked. 300000 個中 206856 個の Φn(10) の素因数が見つかりました。

# 19881 of 25997 Rprime factorizations were cracked. 25997 個中 19881 個の Rprime の素因数が見つかりました。

November 8, 2021 2021 年 11 月 8 日 (Kurt Beschorner)

n=277169: x277169(1111111111......) = 2945515857196650079 * x277150(3772212288......)

n=277213: x277180(5555837152......) = 179855909576457241 * x277163(3089048986......)

n=277223: x277152(7201346588......) = 923039938796116517 * x277134(7801771392......)

n=277279: x277264(5674758168......) = 306445601101882511 * x277247(1851799519......)

n=277373: x277355(1082160800......) = 1794865047075142199 * x277336(6029204270......)

n=277421: x277399(5349523813......) = 3156155659154544853 * x277381(1694949296......)

n=277643: x277643(1111111111......) = 109662240378523369 * x277626(1013212120......)

n=277813: x277813(1111111111......) = 2180668751386916639 * x277794(5095276897......)

# 206855 of 300000 Φn(10) factorizations were cracked. 300000 個中 206855 個の Φn(10) の素因数が見つかりました。

# 19880 of 25997 Rprime factorizations were cracked. 25997 個中 19880 個の Rprime の素因数が見つかりました。

November 4, 2021 2021 年 11 月 4 日 (Kurt Beschorner)

n=275447: x275439(3878699100......) = 153568897128263117 * x275422(2525706163......)

n=275599: x275590(1774481702......) = 397019001193845757 * x275572(4469513289......)

n=275599: x275572(4469513289......) = 684291815664420281 * x275554(6531589575......)

n=275837: x275823(6661797568......) = 1155521103554867671 * x275805(5765189011......)

n=275897: x275886(6228568506......) = 5273063976457957951 * x275868(1181204805......)

n=275999: x275999(1111111111......) = 104208163019863961 * x275982(1066241913......)

n=276091: x276091(1111111111......) = 591978143590426471 * x276073(1876946172......)

n=276229: x276229(1111111111......) = 597911048809116551 * x276211(1858321757......)

n=276247: x276224(3149117042......) = 157861112443352239 * x276207(1994865609......)

n=276373: x276373(1111111111......) = 303006931219018679 * x276355(3666949487......)

n=276443: x276434(6183559359......) = 18047219416217894603 * x276415(3426322480......)

n=276487: x276476(2631468853......) = 315672792457099613 * x276458(8336064799......)

n=276499: x276499(1111111111......) = 18025562134926136289 * x276479(6164085773......)

n=276557: x276557(1111111111......) = 4167386829459126043 * x276538(2666205842......)

n=276779: x276779(1111111111......) = 2556484381202822849 * x276760(4346246428......)

n=276821: x276815(2006908984......) = 340353739184684689 * x276797(5896538670......)

n=276901: x276866(2398589596......) = 157794345445410283 * x276849(1520073225......)

n=276929: x276929(1111111111......) = 647857877286605203 * x276911(1715053795......)

n=276949: x276927(1448810877......) = 249083398407160721 * x276909(5816569415......)

# gr-mfaktc

# 206852 of 300000 Φn(10) factorizations were cracked. 300000 個中 206852 個の Φn(10) の素因数が見つかりました。

# 19877 of 25997 Rprime factorizations were cracked. 25997 個中 19877 個の Rprime の素因数が見つかりました。

November 3, 2021 2021 年 11 月 3 日 (Kurt Beschorner)

n=3277: c3092(1041307491......) = 1659625482312684867571670109201289 * c3058(6274352273......)

# ECM B1=3e6, sigma=4033646941598850

n=5002: c2365(2105882830......) = 9257979664211852962861062975013161250901383 * c2322(2274667807......)

# ECM B1=11e6, sigma=0:1183374437285197

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