Factorization of cyclotomic number Phi

remove soft hyphens ソフトハイフンを取り除く | plain text version プレーンテキスト版

Φ₁₃₅₁₀₁(10) = 1111111111..._<135101> = 20265151 × 8894687715549803_<16> × 1279566313721112199_<19> × [4817415917..._<135059>] (0.03%)

Φ₁₃₅₁₀₂(10) = 1098901098..._<38721> = [1098901098..._<38721>] (0.00%)

Φ₁₃₅₁₀₃(10) = 9000000000..._<134128> = 913296281 × 377567606850787_<15> × [2609973471..._<134105>] (0.02%)

Φ₁₃₅₁₀₄(10) = 9999999999..._<67520> = 2702081 × 1702175297_<10> × 19437817793_<11> × 128614794127721537_<18> × [8696788713..._<67477>] (0.06%)

Φ₁₃₅₁₀₅(10) = 1109988900..._<72049> = 565279321 × 89990738401_<11> × [2182014951..._<72029>] (0.03%)

Φ₁₃₅₁₀₆(10) = 1099999999..._<65941> = 69039167 × 727951129 × [2188743747..._<65924>] (0.03%)

Φ₁₃₅₁₀₇(10) = 9000000900..._<115800> = [9000000900..._<115800>] (0.00%)

Φ₁₃₅₁₀₈(10) = 1000000000..._<44713> = 316963369 × 774844381 × [4071706241..._<44695>] (0.04%)

Φ₁₃₅₁₀₉(10) = 1111111111..._<117937> = [1111111111..._<117937>] (0.00%)

Φ₁₃₅₁₁₀(10) = 9091000000..._<52896> = [9091000000..._<52896>] (0.00%)

Φ₁₃₅₁₁₁(10) = 1109999999..._<86913> = [1109999999..._<86913>] (0.00%)

Φ₁₃₅₁₁₂(10) = 9999000099..._<67552> = 4188473 × [2387266218..._<67546>] (0.01%)

Φ₁₃₅₁₁₃(10) = 1111111111..._<120401> = [1111111111..._<120401>] (0.00%)

Φ₁₃₅₁₁₄(10) = 9100000909..._<38592> = 264553213 × 3704555653_<10> × [9285221574..._<38574>] (0.05%)

Φ₁₃₅₁₁₅(10) = 1111099999..._<106081> = 20578139076031_<14> × [5399419237..._<106067>] (0.01%)

Φ₁₃₅₁₁₆(10) = 1009999999..._<63553> = 5674872001_<10> × 40450482211361_<14> × [4399887784..._<63529>] (0.04%)

Φ₁₃₅₁₁₇(10) = 9990000009..._<90072> = [9990000009..._<90072>] (0.00%)

Φ₁₃₅₁₁₈(10) = 9090909090..._<67558> = 201460939 × [4512492166..._<67550>] (0.01%)

Φ₁₃₅₁₁₉(10) = 1111111111..._<135119> = 270239 × 5191996488079_<13> × [7919086292..._<135100>] (0.01%)

Φ₁₃₅₁₂₀(10) = 9999999900..._<35968> = 270241 × [3700400716..._<35963>] (0.02%)

Φ₁₃₅₁₂₁(10) = 1111110999..._<114049> = 8874104374283_<13> × [1252082410..._<114036>] (0.01%)

Φ₁₃₅₁₂₂(10) = 1099999999..._<62353> = [1099999999..._<62353>] (0.00%)

Φ₁₃₅₁₂₃(10) = 1109999999..._<88705> = 154845553081_<12> × 391362420067_<12> × [1831661091..._<88682>] (0.03%)

Φ₁₃₅₁₂₄(10) = 9900990099..._<59040> = [9900990099..._<59040>] (0.00%)

Φ₁₃₅₁₂₅(10) = 1000000000..._<101201> = 98104532419001_<14> × [1019320897..._<101187>] (0.01%)

Φ₁₃₅₁₂₆(10) = 1000999998..._<45037> = 60079114188127_<14> × [1666136414..._<45023>] (0.03%)

Φ₁₃₅₁₂₇(10) = 9000000000..._<134136> = [9000000000..._<134136>] (0.00%)

Φ₁₃₅₁₂₈(10) = 9999000099..._<54432> = 12909723737_<11> × 39599245535921_<14> × [1955927318..._<54409>] (0.04%)

Φ₁₃₅₁₂₉(10) = 1109999999..._<87121> = 27213260407831_<14> × [4078893831..._<87107>] (0.02%)

Φ₁₃₅₁₃₀(10) = 1099989000..._<54049> = 135131 × 228775091 × [3558152967..._<54035>] (0.02%)

Φ₁₃₅₁₃₁(10) = 1111111111..._<135131> = [1111111111..._<135131>] (0.00%)

Φ₁₃₅₁₃₂(10) = 1009998990..._<45041> = 7432261 × [1358939076..._<45034>] (0.02%)

Φ₁₃₅₁₃₃(10) = 9000000000..._<127168> = 20810483 × [4324743447..._<127161>] (0.01%)

Φ₁₃₅₁₃₄(10) = 9090909090..._<67566> = 1778363441_<10> × 3521321773_<10> × 277710099649_<12> × 1212336708179_<13> × [4311874892..._<67524>] (0.06%)

Φ₁₃₅₁₃₅(10) = 1000000001..._<51841> = 2552700151_<10> × [3917420542..._<51831>] (0.02%)

Φ₁₃₅₁₃₆(10) = 1000000000..._<65281> = [1000000000..._<65281>] (0.00%)

Φ₁₃₅₁₃₇(10) = 9000000000..._<134400> = [9000000000..._<134400>] (0.00%)

Φ₁₃₅₁₃₈(10) = 9100000000..._<44400> = 5540659 × 12589456081_<11> × 1013973522811_<13> × [1286608416..._<44372>] (0.06%)

Φ₁₃₅₁₃₉(10) = 9000000000..._<133056> = 540557 × [1664949302..._<133051>] (0.00%)

Φ_135140L(10) = 3540999999..._<25984> = [3540999999..._<25984>] (0.00%)

Φ_135140M(10) = 2796100000..._<25985> = [2796100000..._<25985>] (0.00%)

Φ₁₃₅₁₄₁(10) = 1109999999..._<89041> = 471371809 × 25816796077_<11> × [9121306071..._<89021>] (0.02%)

Φ₁₃₅₁₄₂(10) = 1000000000..._<57625> = 78382361 × 820879401259_<12> × 85096909730449_<14> × [1826368937..._<57591>] (0.06%)

Φ₁₃₅₁₄₃(10) = 9000000000..._<134088> = 316005147187_<12> × [2848054875..._<134077>] (0.01%)

Φ₁₃₅₁₄₄(10) = 1000000000..._<45025> = 1621729 × 168057406545409_<15> × [3669138114..._<45004>] (0.05%)

Φ₁₃₅₁₄₅(10) = 1111099999..._<106801> = 86085202681_<11> × 1388838675121_<13> × [9293361680..._<106777>] (0.02%)

Φ₁₃₅₁₄₆(10) = 1099999999..._<61421> = 409060183093_<12> × [2689090861..._<61409>] (0.02%)

Φ₁₃₅₁₄₇(10) = 1109999999..._<85321> = 183799921 × [6039175609..._<85312>] (0.01%)

Φ₁₃₅₁₄₈(10) = 9900990099..._<59136> = 3378701 × 47977541 × 92035789 × 17194204301_<11> × [3859686742..._<59104>] (0.05%)

Φ₁₃₅₁₄₉(10) = 1111110999..._<112897> = 4215297311_<10> × [2635901854..._<112887>] (0.01%)

Φ₁₃₅₁₅₀(10) = 1000009999..._<33281> = 1534741100251_<13> × [6515822113..._<33268>] (0.04%)

Φ₁₃₅₁₅₁(10) = 1111111111..._<135151> = 3179588915597_<13> × 39761495830031_<14> × 11161607613508721_<17> × [7874029747..._<135108>] (0.03%)

Φ₁₃₅₁₅₂(10) = 9999999900..._<67568> = 182195708161_<12> × 358893984785617_<15> × 25220733110132641_<17> × 37166021468823595489_<20> × [1631518091..._<67507>] (0.09%)

Φ₁₃₅₁₅₃(10) = 9990000009..._<90096> = 270307 × 135153001 × 24561353338471_<14> × [1113346145..._<90070>] (0.03%)

Φ₁₃₅₁₅₄(10) = 9090909090..._<67576> = 1621849 × 233214243920927_<15> × [2403487265..._<67556>] (0.03%)

Φ₁₃₅₁₅₅(10) = 9000090000..._<108120> = 270311 × 2432791 × [1368605663..._<108109>] (0.01%)

Φ₁₃₅₁₅₆(10) = 9901000000..._<38592> = 598288900368567241_<18> × [1654886125..._<38575>] (0.05%)

Φ₁₃₅₁₅₇(10) = 9999999999..._<122760> = [9999999999..._<122760>] (0.00%)

Φ₁₃₅₁₅₈(10) = 9090909090..._<67578> = 7208694314062063_<16> × [1261103425..._<67563>] (0.02%)

Φ₁₃₅₁₅₉(10) = 9009009009..._<90104> = 1004501689_<10> × [8968635003..._<90095>] (0.01%)

Φ₁₃₅₁₆₀(10) = 9999000099..._<51840> = [9999000099..._<51840>] (0.00%)

Φ₁₃₅₁₆₁(10) = 1111111111..._<120961> = 43251521 × [2568952687..._<120953>] (0.01%)

Φ₁₃₅₁₆₂(10) = 1000000000..._<45037> = [1000000000..._<45037>] (0.00%)

Φ₁₃₅₁₆₃(10) = 9000000900..._<115848> = [9000000900..._<115848>] (0.00%)

Φ₁₃₅₁₆₄(10) = 9900990099..._<67580> = [9900990099..._<67580>] (0.00%)

Φ₁₃₅₁₆₅(10) = 1109988900..._<72081> = [1109988900..._<72081>] (0.00%)

Φ₁₃₅₁₆₆(10) = 1099999999..._<64009> = 405499 × [2712707059..._<64003>] (0.01%)

Φ₁₃₅₁₆₇(10) = 9000000000..._<127200> = 96897978293_<11> × 294721370809_<12> × [3151491680..._<127178>] (0.02%)

Φ₁₃₅₁₆₈(10) = 1000000000..._<40961> = 538229585473537_<15> × [1857943203..._<40946>] (0.04%)

Φ₁₃₅₁₆₉(10) = 1111111111..._<126673> = 540677 × 42548227483_<11> × [4829899817..._<126656>] (0.01%)

Φ₁₃₅₁₇₀(10) = 9091000909..._<46320> = [9091000909..._<46320>] (0.00%)

Φ₁₃₅₁₇₁(10) = 1001000999..._<86065> = 1087155751879_<13> × [9207521537..._<86052>] (0.01%)

Φ₁₃₅₁₇₂(10) = 1009999999..._<66057> = 13848371401_<11> × 272438471756609_<15> × [2677036150..._<66032>] (0.04%)

Φ₁₃₅₁₇₃(10) = 1111111111..._<135173> = 811039 × [1369984810..._<135167>] (0.00%)

Φ₁₃₅₁₇₄(10) = 9100000000..._<41568> = 20237575411_<11> × [4496586085..._<41558>] (0.02%)

Φ₁₃₅₁₇₅(10) = 9999900000..._<108120> = 1351751 × [7397738192..._<108114>] (0.01%)

Φ₁₃₅₁₇₆(10) = 1000099999..._<66241> = 175651479329_<12> × [5693661128..._<66229>] (0.02%)

Φ₁₃₅₁₇₇(10) = 9009009909..._<74880> = [9009009909..._<74880>] (0.00%)

Φ₁₃₅₁₇₈(10) = 9090909090..._<67588> = [9090909090..._<67588>] (0.00%)

Φ₁₃₅₁₇₉(10) = 9000000000..._<122880> = [9000000000..._<122880>] (0.00%)

Φ_135180L(10) = 9048972901..._<18000> = 3424391115121_<13> × 15519772009671234991552621_<26> × [1702670411..._<17963>] (0.21%)

Φ_135180M(10) = 1105096689..._<18001> = 135181 × [8174940930..._<17995>] (0.03%)

Φ₁₃₅₁₈₁(10) = 1111111111..._<135181> = 8412394197877_<13> × 5804251792659273689_<19> × [2275577501..._<135149>] (0.02%)

Φ₁₃₅₁₈₂(10) = 1099999999..._<67073> = [1099999999..._<67073>] (0.00%)

Φ₁₃₅₁₈₃(10) = 9009009009..._<90120> = 1892563 × 21025823089_<11> × 31023687403_<11> × 965507146138399_<15> × [7558311068..._<90078>] (0.05%)

Φ₁₃₅₁₈₄(10) = 9999999900..._<53760> = 405553 × 6624017 × 134676052879201_<15> × [2764016042..._<53734>] (0.05%)

Φ₁₃₅₁₈₅(10) = 1111099999..._<102385> = 4615225633321_<13> × [2407466261..._<102372>] (0.01%)

Φ₁₃₅₁₈₆(10) = 1098901098..._<45061> = [1098901098..._<45061>] (0.00%)

Φ₁₃₅₁₈₇(10) = 9000000000..._<124776> = 811123 × 2172757097759_<13> × [5106750214..._<124758>] (0.01%)

Φ₁₃₅₁₈₈(10) = 9900990099..._<67592> = [9900990099..._<67592>] (0.00%)

Φ₁₃₅₁₈₉(10) = 9999999999..._<90072> = 3785293 × 4055671 × 8381719 × 372040129 × 553776052591_<12> × [3772078538..._<90032>] (0.04%)

Φ₁₃₅₁₉₀(10) = 9091000000..._<49120> = [9091000000..._<49120>] (0.00%)

Φ₁₃₅₁₉₁(10) = 1000000100..._<110881> = 811147 × 4866877 × [2533087003..._<110868>] (0.01%)

Φ₁₃₅₁₉₂(10) = 9999000100..._<43680> = 135193 × 405577 × 25768947121_<11> × [7076725899..._<43659>] (0.05%)

Φ₁₃₅₁₉₃(10) = 1111111111..._<135193> = 540773 × [2054671943..._<135187>] (0.00%)

Φ₁₃₅₁₉₄(10) = 1099999999..._<64637> = 409908209 × 205162032373_<12> × [1308004014..._<64617>] (0.03%)

Φ₁₃₅₁₉₅(10) = 1109988900..._<72097> = [1109988900..._<72097>] (0.00%)

Φ₁₃₅₁₉₆(10) = 1009999999..._<66529> = [1009999999..._<66529>] (0.00%)

Φ₁₃₅₁₉₇(10) = 1111111111..._<135197> = 386109078230357_<15> × [2877712992..._<135182>] (0.01%)

Φ₁₃₅₁₉₈(10) = 1000999998..._<36289> = [1000999998..._<36289>] (0.00%)

Φ₁₃₅₁₉₉(10) = 9000000000..._<134464> = 3374567041_<10> × [2667008801..._<134455>] (0.01%)

Φ₁₃₅₂₀₀(10) = 1000000000..._<49921> = [1000000000..._<49921>] (0.00%)

remove soft hyphens ソフトハイフンを取り除く | plain text version プレーンテキスト版