n=111550: c42213(6313005611......) = 2310051976469609201 * c42195(2732841371......)
n=111592: c48379(2986764353......) = 28842615650694270863257 * c48357(1035538659......)
n=111610: c44641(1099989000......) = 17591080119788051 * c44624(6253106646......)
# P-1 B1=1e6
# 139423 of 200000 Φn(10) factorizations were cracked. 200000 個中 139423 個の Φn(10) の素因数が見つかりました。
n=111290: c42954(3889878485......) = 7557452389162891 * c42938(5147076402......)
n=111398: c46630(4483383309......) = 247172093761699 * c46616(1813871154......)
n=111412: c45408(9900990099......) = 7075320165275881 * 2514504439328974541 * c45374(5565191621......)
n=111430: c40445(1526242671......) = 99301528667274121 * c40428(1536978022......)
n=111454: c45144(9090910000......) = 1030998125332678567 * c45126(8817581503......)
n=111496: c43195(8967954384......) = 665618968221325889 * c43178(1347310520......)
n=111518: c48949(1044280749......) = 582527677017529 * c48934(1792671474......)
# P-1 B1=1e6
# 139422 of 200000 Φn(10) factorizations were cracked. 200000 個中 139422 個の Φn(10) の素因数が見つかりました。
n=110968: c46069(2371999926......) = 31949714913381409 * 269291737791876102161 * c46032(2756923116......)
n=110998: c49879(2302623068......) = 48592161564321721 * c49862(4738671823......)
n=111010: c41728(9091000000......) = 536170732277011571 * c41711(1695542007......)
n=111070: c42773(2021106218......) = 11332702493647242401 * c42754(1783428286......)
n=111080: c44409(5557666949......) = 567139347326449483421681 * c44385(9799473401......)
n=111146: c44725(3361013161......) = 42085628306671769 * c44708(7986130411......)
n=111166: c48575(5077402487......) = 7069924097119865521 * c48556(7181693067......)
n=111170: c44454(3805637243......) = 201581518499441 * c44440(1887889957......)
# P-1 B1=1e6
# 139420 of 200000 Φn(10) factorizations were cracked. 200000 個中 139420 個の Φn(10) の素因数が見つかりました。
n=110732: c49636(2218034822......) = 38608411540078941961 * c49616(5744952288......)
n=110750: c44195(3009772732......) = 3597961068453775705261596063442001 * c44161(8365217618......)
n=110864: c49905(1478255743......) = 10197931485712108943377 * c49883(1449564301......)
n=110870: c44345(1099989000......) = 44172884715451 * c44331(2490190548......)
n=110890: c40896(9091000000......) = 3247632595693849091 * c40878(2799269847......)
n=110920: c42688(9999000099......) = 8057008138192241 * c42673(1241031401......)
n=110930: c44362(5832975839......) = 2515031120511731750208851 * c44338(2319245989......)
# P-1 B1=1e6
# 139419 of 200000 Φn(10) factorizations were cracked. 200000 個中 139419 個の Φn(10) の素因数が見つかりました。
n=110410: c43186(9889017265......) = 1028786185800811 * c43171(9612315369......)
n=110474: c43627(2742993093......) = 1307020251183739 * c43612(2098661509......)
n=110560: c44161(1000000000......) = 450991125310936961 * c44143(2217338532......)
# P-1 B1=1e6
# 139416 of 200000 Φn(10) factorizations were cracked. 200000 個中 139416 個の Φn(10) の素因数が見つかりました。
n=110096: c47137(1000000009......) = 17385711524273 * c47123(5751849779......)
n=110126: c49920(9090909090......) = 305690852047336722451 * c49900(2973889807......)
n=110152: c47032(8621428645......) = 2444402843167657 * c47017(3527008107......)
n=110162: c47952(9090909090......) = 2955112666834303 * c47937(3076332484......)
n=110170: c42048(2677866665......) = 4463573029077296862166921 * c42023(5999379080......)
n=110210: c43248(9091000000......) = 1407478998020897771 * c43230(6459066183......)
n=110278: c47257(1099999890......) = 18494512885593589978624583 * c47231(5947709446......)
n=110374: c48118(7507438699......) = 1960398740619089 * c48103(3829546787......)
# P-1 B1=1e6
# 139415 of 200000 Φn(10) factorizations were cracked. 200000 個中 139415 個の Φn(10) の素因数が見つかりました。
n=109984: c47034(2755220937......) = 8677385460600027430181272001 * c47006(3175174076......)
n=110044: c47990(1139908928......) = 53634555475762669 * c47973(2125325581......)
n=110050: c41987(1022679635......) = 515086749716251 * c41972(1985451259......)
# P-1 B1=1e6
# via Kurt Beschorner
n=19489: c19489(1111111111......) = 4603739457788488002649 * c19467(2413496943......)
# ECM B1=5e4, sigma=13929637873820805088
n=69197: c69197(1111111111......) = 91670990556046511 * c69180(1212064039......)
# ECM B1=11e3
# 139410 of 200000 Φn(10) factorizations were cracked. 200000 個中 139410 個の Φn(10) の素因数が見つかりました。
# 13834 of 17984 Rprime factorizations were cracked. 17984 個中 13834 個の Rprime の素因数が見つかりました。
n=109730: c43866(1828891344......) = 10698851994491 * c43853(1709427651......)
n=109750: c43793(1752234067......) = 90091727065001 * c43779(1944944474......)
n=109774: c47022(3443755032......) = 701804826386623 * c47007(4906998218......)
n=109810: c43056(9091000000......) = 38937870152294081 * c43040(2334745060......)
n=109816: c44928(9999000099......) = 28213673813753 * c44915(3544026264......)
n=109840: c43896(2192714731......) = 10439719737334561 * c43880(2100357850......)
n=109846: c49898(1623930932......) = 2529845582475636009047 * c49876(6419091124......)
n=109912: c49877(4381666004......) = 4482162198882597719336617 * c49852(9775786349......)
# P-1 B1=1e6
# 139408 of 200000 Φn(10) factorizations were cracked. 200000 個中 139408 個の Φn(10) の素因数が見つかりました。
n=109510: c42677(1020285194......) = 20945976593761703732881 * c42654(4871031864......)
n=109630: c41458(9946087809......) = 15003044678443752018135121 * c41433(6629379584......)
n=109634: c45592(9813081030......) = 115525215770567 * c45578(8494319586......)
n=109648: c42235(1302868773......) = 174238045589271981442049 * c42211(7477521739......)
# P-1 B1=1e6
n=109310: c41088(9091000000......) = 937980222251523203826611 * c41064(9692102012......)
n=109318: c49672(2330874861......) = 1582264830549899 * c49657(1473125621......)
n=109382: c43200(9090910000......) = 13812606354718699529 * c43181(6581603621......)
n=109384: c49281(1000000000......) = 9871437902182473445753 * c49259(1013023644......)
n=109388: c49254(1262520965......) = 4896987432021516941 * c49235(2578158477......)
n=109395: c46060(2880693712......) = 299178762665481271 * c46042(9628670454......)
n=109396: c46873(1009999999......) = 39685396393730603489 * c46853(2545016786......)
n=109490: c43793(1099989000......) = 540090161969172525545048171 * c43766(2036676609......)
# P-1 B1=1e6
# 139406 of 200000 Φn(10) factorizations were cracked. 200000 個中 139406 個の Φn(10) の素因数が見つかりました。
n=109018: c43046(1930539472......) = 1035510807658609209929 * c43025(1864335416......)
n=109070: c40224(9091000000......) = 1311862462820022256001 * c40203(6929842310......)
n=109088: c46635(3257180794......) = 5715188749811521 * c46619(5699165744......)
n=109102: c46738(1757560024......) = 590263074335074099 * c46720(2977587623......)
n=109150: c41760(9999900000......) = 4119657025153817572651 * c41739(2427362263......)
n=109160: c43649(1000099999......) = 39488068917601 * c43635(2532663732......)
n=109172: c46705(1000000000......) = 5298818983566627686329 * c46683(1887212986......)
n=109208: c46080(9999000099......) = 1009368996473687257 * c46062(9906189049......)
n=109256: c46801(1000099999......) = 4179041012686022919521 * c46779(2393132771......)
# P-1 B1=1e6
# 139401 of 200000 Φn(10) factorizations were cracked. 200000 個中 139401 個の Φn(10) の素因数が見つかりました。
n=108830: c43522(2887829541......) = 25789744164841 * c43509(1119758894......)
n=108856: c49441(1000099999......) = 1502800093203849353 * c49422(6654910420......)
n=108910: c43545(6623688198......) = 21647853202278282841 * c43526(3059743678......)
n=108944: c49441(1000000009......) = 83829105907361 * c49427(1192903108......)
# P-1 B1=1e6
# 139395 of 200000 Φn(10) factorizations were cracked. 200000 個中 139395 個の Φn(10) の素因数が見つかりました。
n=108560: c40832(9999999900......) = 200287761795361 * c40818(4992816241......)
n=108584: c46348(5873855971......) = 105076299931077319601 * c46328(5590086418......)
n=108590: c43418(8497258401......) = 1004546405486302051094497411 * c43391(8458801260......)
n=108592: c49267(4479735652......) = 622914354382575137873 * c49246(7191575569......)
n=108675: c47483(4694795378......) = 192671361525639151 * c47466(2436685629......)
n=108698: c48576(9090909090......) = 2645193894345524597 * c48558(3436764734......)
n=108758: c48558(1171939403......) = 15718250167517 * c48544(7455915199......)
# P-1 B1=1e6
# 139393 of 200000 Φn(10) factorizations were cracked. 200000 個中 139393 個の Φn(10) の素因数が見つかりました。
n=108370: c43345(1099989000......) = 109290423689281 * 48418623411492601 * c43314(2078709470......)
n=108374: c46420(4305886234......) = 4704323862689960251 * c46401(9153039544......)
n=108376: c47497(1638606255......) = 1171062812837055307009 * c47476(1399247108......)
n=108416: c42226(1330687659......) = 21089073573960544769 * c42206(6309844075......)
# P-1 B1=1e6
# 139391 of 200000 Φn(10) factorizations were cracked. 200000 個中 139391 個の Φn(10) の素因数が見つかりました。
# via Kurt Beschorner
n=68749: c68749(1111111111......) = 999467309588805587 * c68731(1111703304......)
# ECM B1=11e3, sigma=12948517208099190898
n=68993: c68993(1111111111......) = 7918664704980905173 * c68974(1403154638......)
# ECM B1=11e3, sigma=13347592554612910246
# 139390 of 200000 Φn(10) factorizations were cracked. 200000 個中 139390 個の Φn(10) の素因数が見つかりました。
# 13832 of 17984 Rprime factorizations were cracked. 17984 個中 13832 個の Rprime の素因数が見つかりました。
n=108164: c46318(6166903989......) = 1079208387505949 * c46303(5714284711......)
n=108206: c45235(2800486108......) = 27472399807007 * 876302060600726519761 * c45201(1163276598......)
n=108280: c43290(9236230849......) = 1521282972183761 * c43275(6071343082......)
n=108320: c43259(1538648543......) = 56270499514241 * c43245(2734378682......)
# P-1 B1=1e6
n=107978: c49812(1546592597......) = 111762030054013 * c49798(1383826507......)
n=108004: c47469(1090434299......) = 233154273303641 * c47454(4676878892......)
n=108136: c46308(5414275277......) = 37431883020964236096505279753 * c46280(1446434120......)
# P-1 B1=1e6
n=107734: c47560(9090909091......) = 1889167304712997 * c47545(4812124933......)
n=107786: c46176(3613804001......) = 439153711964912939 * c46158(8229018457......)
n=107810: c43110(1931266063......) = 3003380357852851 * c43094(6430307964......)
n=107818: c49680(9090909090......) = 79091284478672310899 * c49661(1149419831......)
n=107828: c46192(2694697719......) = 4039755923317766098395956905829 * c46161(6670446856......)
n=107840: c42985(4820739788......) = 275419482435079681 * c42968(1750326355......)
n=107842: c46213(1099999890......) = 4886911200874249 * c46197(2250910329......)
n=107882: c47796(1972483680......) = 2898827850396104399281 * 272726942811635314021703 * c47751(2494956335......)
n=107926: c42614(1300766221......) = 66234683307157 * 6524869806213289517533 * c42578(3009829787......)
# P-1 B1=1e6
# 139388 of 200000 Φn(10) factorizations were cracked. 200000 個中 139388 個の Φn(10) の素因数が見つかりました。
n=107492: c41760(9900990099......) = 7509786285745129 * c41745(1318411699......)
n=107530: c42993(5711045388......) = 3043509420611531 * c42978(1876467130......)
n=107558: c48860(2168506533......) = 2059031414518321 * c48845(1053168260......)
n=107560: c42996(6020020534......) = 761095269680881 * c42981(7909680658......)
n=107576: c42994(9818445748......) = 22207413630531193 * c42978(4421246846......)
n=107625: c48000(9999999999......) = 76392530786882020309632432001 * c47972(1309028500......)
n=107650: c43024(1168986408......) = 10466254791714451 * c43008(1116909946......)
n=107692: c46630(9108216650......) = 59713794140509930344769 * c46608(1525311995......)
n=107702: c45865(1000000000......) = 628620319998973 * c45850(1590785356......)
n=107710: c43081(1099989000......) = 23022887125561 * c43067(4777806511......)
n=107716: c46124(1489087534......) = 23714787704807792321 * c46104(6279151865......)
# P-1 B1=1e6
# 139385 of 200000 Φn(10) factorizations were cracked. 200000 個中 139385 個の Φn(10) の素因数が見つかりました。
n=107270: c40310(1215428128......) = 199552821223830881 * c40292(6090758930......)
n=107272: c45749(2020743632......) = 104675002979637179409673 * c45726(1930493025......)
n=107302: c49504(9161250916......) = 466295291999967223 * c49487(1964688701......)
n=107350: c40311(1576634658......) = 38669145684476260801 * c40291(4077242025......)
n=107354: c49489(1123630387......) = 62636386872223607 * c49472(1793894002......)
n=107366: c46009(1099999890......) = 10354071770010011 * c45993(1062383876......)
n=107404: c48801(1009999999......) = 110002329078176282441 * c48780(9181623775......)
n=107408: c45687(1590959237......) = 1001454529506257 * c45672(1588648501......)
n=107415: c43188(4518573524......) = 919946130698792486521 * c43167(4911780564......)
n=107458: c49579(1462363418......) = 1343480828777188947379 * c49558(1088488489......)
# P-1 B1=1e6
# 139381 of 200000 Φn(10) factorizations were cracked. 200000 個中 139381 個の Φn(10) の素因数が見つかりました。
n=107080: c42817(1000099999......) = 703137811908641 * c42802(1422338527......)
n=107205: c48960(9009100000......) = 1131696590935658444229961 * c48936(7960702606......)
n=107206: c48615(3109269041......) = 23485109358848567 * c48599(1323932111......)
n=107228: c48700(2486145542......) = 9619067107932215341 * c48681(2584601515......)
# P-1 B1=1e6
# 139379 of 200000 Φn(10) factorizations were cracked. 200000 個中 139379 個の Φn(10) の素因数が見つかりました。
n=106870: c42732(2378046352......) = 1850029709582722691 * c42714(1285409818......)
n=106918: c45769(1050370480......) = 10982195993469289 * c45752(9564302810......)
n=107002: c45835(7149109549......) = 47737550758773492779 * c45816(1497586163......)
# P-1 B1=1e6
n=106744: c48481(1000099999......) = 103001776533569 * c48466(9709541268......)
n=106832: c48481(1000000009......) = 3291170002283320433 * c48462(3038433169......)
# P-1 B1=1e6
# 139377 of 200000 Φn(10) factorizations were cracked. 200000 個中 139377 個の Φn(10) の素因数が見つかりました。
n=106582: c43560(9090910000......) = 20714335974613 * c43547(4388704523......)
n=106624: c42999(5735187118......) = 1158884819723009 * c42984(4948884497......)
n=106628: c47512(9622325530......) = 30584723867706634469 * c47493(3146121433......)
n=106630: c42649(1099989000......) = 1713599626399571 * c42633(6419171568......)
# P-1 B1=1e6
# 139375 of 200000 Φn(10) factorizations were cracked. 200000 個中 139375 個の Φn(10) の素因数が見つかりました。
n=106444: c46439(1577331909......) = 51134385358369 * c46425(3084679513......)
n=106454: c48000(9090909090......) = 8368329926169090844964369 * c47976(1086346878......)
n=106456: c45601(1000099999......) = 1892090311999727897 * c45582(5285688498......)
n=106546: c46480(9090909091......) = 3856295386531303 * c46465(2357420316......)
n=106575: c47012(1668584527......) = 1155706765899059883601 * c46991(1443778453......)
# P-1 B1=1e6
# 139373 of 200000 Φn(10) factorizations were cracked. 200000 個中 139373 個の Φn(10) の素因数が見つかりました。
n=106366: c49066(8905937367......) = 521603269925594533 * c49049(1707415938......)
n=106372: c43651(2398716643......) = 6717158338392533081 * c43632(3571028882......)
n=106390: c42553(1099989000......) = 283464235064401 * c42538(3880521293......)
# P-1 B1=1e6
# 139370 of 200000 Φn(10) factorizations were cracked. 200000 個中 139370 個の Φn(10) の素因数が見つかりました。
n=106082: c48711(5917075146......) = 18738811652143703 * c48695(3157657623......)
n=106114: c49896(4353832612......) = 36770580276365523058317877 * c49871(1184053278......)
n=106132: c48650(5251094352......) = 22452625085048818921 * c48631(2338744058......)
n=106155: c48373(2633808765......) = 236888967590374935151 * c48353(1111832599......)
n=106160: c42433(1000000009......) = 117783818989362198058846166081 * c42403(8490130635......)
n=106270: c42499(3450285592......) = 387009046251521 * c42484(8915258250......)
n=106280: c42453(2160854405......) = 14665635866561 * c42440(1473413376......)
n=106288: c41466(3136132258......) = 11978639888911697 * c41450(2618103797......)
# P-1 B1=1e6
# 139369 of 200000 Φn(10) factorizations were cracked. 200000 個中 139369 個の Φn(10) の素因数が見つかりました。
# via Kurt Beschorner
n=19273: c19273(1111111111......) = 16654668878053598037177599 * c19247(6671469239......)
# ECM B1=5e4, sigma=3770627784463675785
# 139368 of 200000 Φn(10) factorizations were cracked. 200000 個中 139368 個の Φn(10) の素因数が見つかりました。
# 13830 of 17984 Rprime factorizations were cracked. 17984 個中 13830 個の Rprime の素因数が見つかりました。
n=106000: c41589(1143979817......) = 69759105871219576001 * c41569(1639900344......)
n=106012: c49847(8950792300......) = 100435367198906671601 * c49827(8911992408......)
n=106030: c40480(9091000000......) = 241540392466601 * c40466(3763759720......)
n=106054: c48937(1099999999......) = 177901002088499 * c48922(6183214187......)
# P-1 B1=1e6
# 139367 of 200000 Φn(10) factorizations were cracked. 200000 個中 139367 個の Φn(10) の素因数が見つかりました。
n=105808: c49652(1586351115......) = 1298951628212363201 * c49634(1221254957......)
n=105826: c45332(6996967875......) = 181285677647909888721571 * c45309(3859636329......)
n=105830: c40015(7104551077......) = 5349196536886250482171 * c39994(1328152934......)
n=105880: c42315(2015068977......) = 5662456973968817173841 * c42293(3558647751......)
n=105898: c48840(1886919029......) = 27324912656876771 * c48823(6905489702......)
n=105920: c42241(1000000000......) = 1000442225395841 * c42225(9995579700......)
n=105938: c42497(3999780572......) = 339018163196856336481 * c42477(1179813062......)
n=105944: c46080(9999000099......) = 14331769101948989792473 * c46058(6976807977......)
n=105945: c48353(8476708542......) = 630588752149231 * c48339(1344253051......)
# P-1 B1=1e6
# 139365 of 200000 Φn(10) factorizations were cracked. 200000 個中 139365 個の Φn(10) の素因数が見つかりました。
n=976: c404(1110976586......) = 1333621378380781329750868926173511152429445865079521 * p352(8330524721......)
# ECM B1=120000000, sigma=2:17156338585742940671
# 1134 of 200000 Φn(10) factorizations were finished. 200000 個中 1134 個の Φn(10) の素因数分解が終わりました。
n=105532: c45186(5988627862......) = 122967907280432161811886569 * c45160(4870073822......)
n=105578: c47970(1526343685......) = 20866350501802367 * c47953(7314856926......)
n=105602: c42761(4178957693......) = 4254009111206093 * c42745(9823574855......)
n=105610: c41279(4252839048......) = 254971864859728546283704331 * c41253(1667964051......)
n=105616: c42227(1343488835......) = 16191080291793457 * c42210(8297709674......)
n=105622: c47989(1795094111......) = 456946944043801556929 * p47968(3928451945......)
makoto@betelgeuse /cygdrive/c/factorize/Phin10 $ ./pfgw64 -tc -q"11*(10^52811+1)/(10^11+1)/(10^4801+1)/280008516159268031617409411710601" PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6] Primality testing 11*(10^52811+1)/(10^11+1)/(10^4801+1)/280008516159268031617409411710601 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 7, base 2+sqrt(7) Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.11% proof) 11*(10^52811+1)/(10^11+1)/(10^4801+1)/280008516159268031617409411710601 is Fermat and Lucas PRP! (235.2401s+0.0039s)
n=105680: c42227(1061029126......) = 278256925520963769102241 * c42203(3813127470......)
n=105688: c47987(4260650934......) = 108128387390057 * c47973(3940362968......)
n=105706: c49729(1099999999......) = 14927962969531078771 * c49709(7368721387......)
n=105716: c45792(9900990099......) = 16084717211379277954523161 * c45767(6155526372......)
# P-1 B1=1e6
# 1133 of 200000 Φn(10) factorizations were finished. 200000 個中 1133 個の Φn(10) の素因数分解が終わりました。
# 139363 of 200000 Φn(10) factorizations were cracked. 200000 個中 139363 個の Φn(10) の素因数が見つかりました。
n=106820L: p18129(9626709636......) is definitely prime.
# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_106820L_10
# See also http://stdkmd.com/nrr/repunit/prpfactors.htm
n=105386: c48028(3437991518......) = 27560661379969 * c48015(1247427074......)
n=105440: c42103(1019397519......) = 9306349313712641 * c42087(1095378526......)
n=105512: c47514(6769706106......) = 80753244233993 * c47500(8383200168......)
n=105518: c45204(6233423114......) = 2022881130382211354921 * c45183(3081457936......)
# P-1 B1=1e6
n=105238: c45066(6737219435......) = 51116292811823 * c45053(1318018006......)
n=105274: c48562(1090469420......) = 127019087896238697251 * c48541(8585083064......)
n=105292: c47826(6793624929......) = 61339199600009 * c47813(1107550306......)
n=105298: c46648(1812999985......) = 204659682150019 * c46633(8858608427......)
n=105315: c44545(1109988789......) = 39785716857291511 * c44528(2789917781......)
n=105332: c49537(1009999999......) = 2350341307075267229 * c49518(4297248220......)
# P-1 B1=1e6
# 139361 of 200000 Φn(10) factorizations were cracked. 200000 個中 139361 個の Φn(10) の素因数が見つかりました。