Factorization of cyclotomic number Phi

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Φ₂₂₃₀₀₁(10) = 9000000000..._<221904> = 446003 × 17394079 × [1160121007..._<221892>] (0.01%)

Φ₂₂₃₀₀₂(10) = 9990010000..._<68544> = 976681413397_<12> × [1022852473..._<68533>] (0.02%)

Φ₂₂₃₀₀₃(10) = 1000000000..._<190081> = [1000000000..._<190081>] (0.00%)

Φ₂₂₃₀₀₄(10) = 1009999999..._<110545> = 446009 × 73591321 × 7733778721_<10> × 55006166641_<11> × [7233492416..._<110510>] (0.03%)

Φ₂₂₃₀₀₅(10) = 1109988900..._<118929> = [1109988900..._<118929>] (0.00%)

Φ₂₂₃₀₀₆(10) = 9090910000..._<89856> = 39026051 × [2329446553..._<89849>] (0.01%)

Φ₂₂₃₀₀₇(10) = 1111111111..._<223007> = 8474267 × 192017501267_<12> × [6828330500..._<222988>] (0.01%)

Φ₂₂₃₀₀₈(10) = 9999999999..._<70400> = [9999999999..._<70400>] (0.00%)

Φ₂₂₃₀₀₉(10) = 1111111111..._<223009> = 34383860385109441_<17> × [3231490294..._<222992>] (0.01%)

Φ₂₂₃₀₁₀(10) = 9091000000..._<86016> = 65526805291_<11> × 715591481156171_<15> × [1938775402..._<85991>] (0.03%)

Φ₂₂₃₀₁₁(10) = 1001000999..._<146161> = 632459197 × [1582712378..._<146152>] (0.01%)

Φ₂₂₃₀₁₂(10) = 1009999999..._<110377> = 892049 × 313108849 × 470332309 × [7688338714..._<110353>] (0.02%)

Φ₂₂₃₀₁₃(10) = 9000000900..._<191148> = [9000000900..._<191148>] (0.00%)

Φ₂₂₃₀₁₄(10) = 1098901098..._<64801> = [1098901098..._<64801>] (0.00%)

Φ₂₂₃₀₁₅(10) = 9000090000..._<158976> = 14919257471_<11> × [6032532127..._<158966>] (0.01%)

Φ₂₂₃₀₁₆(10) = 1000099999..._<109441> = 4014289 × 55307969 × [4504505081..._<109426>] (0.01%)

Φ₂₂₃₀₁₇(10) = 1109999999..._<146641> = 14385488569_<11> × [7716109151..._<146630>] (0.01%)

Φ₂₂₃₀₁₈(10) = 9090909090..._<111508> = 223019 × [4076293540..._<111503>] (0.00%)

Φ₂₂₃₀₁₉(10) = 1111111111..._<223019> = [1111111111..._<223019>] (0.00%)

Φ_223020L(10) = 1000100005..._<25057> = 3791341 × 197595721 × [1334974734..._<25042>] (0.06%)

Φ_223020M(10) = 9999000049..._<25056> = [9999000049..._<25056>] (0.00%)

Φ₂₂₃₀₂₁(10) = 9000000000..._<220252> = [9000000000..._<220252>] (0.00%)

Φ₂₂₃₀₂₂(10) = 1099999999..._<105625> = 63854097887_<11> × [1722677222..._<105614>] (0.01%)

Φ₂₂₃₀₂₃(10) = 1109999999..._<139905> = 91885477 × [1208025507..._<139897>] (0.01%)

Φ₂₂₃₀₂₄(10) = 1000000009..._<108993> = 6690721 × [1494607247..._<108986>] (0.01%)

Φ₂₂₃₀₂₅(10) = 1000010000..._<162001> = 3093802801_<10> × [3232300390..._<161991>] (0.01%)

Φ₂₂₃₀₂₆(10) = 1098901098..._<74341> = 99469597 × 1035975173263_<13> × [1066396967..._<74321>] (0.03%)

Φ₂₂₃₀₂₇(10) = 1111110999..._<189001> = 71920408799_<11> × [1544917525..._<188990>] (0.01%)

Φ₂₂₃₀₂₈(10) = 1009999999..._<102913> = 11151401 × [9057157930..._<102905>] (0.01%)

Φ₂₂₃₀₂₉(10) = 9990000009..._<148680> = [9990000009..._<148680>] (0.00%)

Φ₂₂₃₀₃₀(10) = 1099989000..._<89209> = 3030531641_<10> × [3629689871..._<89199>] (0.01%)

Φ₂₂₃₀₃₁(10) = 9000000000..._<213312> = 323841013 × 7579101890681_<13> × [3666848057..._<213291>] (0.01%)

Φ₂₂₃₀₃₂(10) = 1000099999..._<74337> = 165712777 × [6035141152..._<74328>] (0.01%)

Φ₂₂₃₀₃₃(10) = 9000000000..._<221940> = [9000000000..._<221940>] (0.00%)

Φ₂₂₃₀₃₄(10) = 9090910000..._<93984> = [9090910000..._<93984>] (0.00%)

Φ₂₂₃₀₃₅(10) = 1109988900..._<118945> = 58881241 × [1885131633..._<118937>] (0.01%)

Φ₂₂₃₀₃₆(10) = 9900990099..._<97920> = 3345541 × [2959458604..._<97914>] (0.01%)

Φ₂₂₃₀₃₇(10) = 1111111111..._<223037> = 440105529881_<12> × [2524647012..._<223025>] (0.01%)

Φ₂₂₃₀₃₈(10) = 1000999998..._<74341> = [1000999998..._<74341>] (0.00%)

Φ₂₂₃₀₃₉(10) = 9000000000..._<215320> = [9000000000..._<215320>] (0.00%)

Φ₂₂₃₀₄₀(10) = 9999999999..._<81920> = 126240641 × [7921379296..._<81912>] (0.01%)

Φ₂₂₃₀₄₁(10) = 1109999888..._<108865> = 2676493 × [4147217605..._<108858>] (0.01%)

Φ₂₂₃₀₄₂(10) = 9090909090..._<111520> = 14051647 × 78287743 × 2245140773_<10> × 134957493183348677_<18> × [2727380501..._<111479>] (0.04%)

Φ₂₂₃₀₄₃(10) = 9000000000..._<219648> = [9000000000..._<219648>] (0.00%)

Φ₂₂₃₀₄₄(10) = 1009998990..._<74345> = 26853538510801_<14> × [3761139298..._<74331>] (0.02%)

Φ₂₂₃₀₄₅(10) = 1111099999..._<172561> = 48177721 × 48643275583241_<14> × [4741154230..._<172539>] (0.01%)

Φ₂₂₃₀₄₆(10) = 1099999999..._<110809> = 2169345397_<10> × 566287577396207_<15> × [8954203202..._<110784>] (0.02%)

Φ₂₂₃₀₄₇(10) = 1000000001..._<135001> = 11953980919_<11> × [8365414063..._<134990>] (0.01%)

Φ₂₂₃₀₄₈(10) = 1000000000..._<95425> = 57100289 × 179684569177_<12> × [9746549908..._<95405>] (0.02%)

Φ₂₂₃₀₄₉(10) = 1111111111..._<223049> = 331004717 × 2862340440158492933_<19> × [1172740764..._<223022>] (0.01%)

Φ₂₂₃₀₅₀(10) = 9999900001..._<59440> = 132937801 × [7522239668..._<59432>] (0.01%)

Φ₂₂₃₀₅₁(10) = 1111111111..._<223051> = 8922041 × 17138346637_<11> × [7266484531..._<223033>] (0.01%)

Φ₂₂₃₀₅₂(10) = 9900990099..._<111524> = 141808654781_<12> × [6981936408..._<111513>] (0.01%)

Φ₂₂₃₀₅₃(10) = 1109999999..._<147409> = [1109999999..._<147409>] (0.00%)

Φ₂₂₃₀₅₄(10) = 9090909090..._<98208> = 55094339 × [1650062285..._<98201>] (0.01%)

Φ₂₂₃₀₅₅(10) = 1111099888..._<152929> = 446111 × [2490635489..._<152923>] (0.00%)

Φ₂₂₃₀₅₆(10) = 1000000000..._<74305> = 1561393 × [6404537486..._<74298>] (0.01%)

Φ₂₂₃₀₅₇(10) = 9000000000..._<209920> = 6245597 × 8922281 × [1615074851..._<209907>] (0.01%)

Φ₂₂₃₀₅₈(10) = 1099999999..._<101381> = 1294445947499_<13> × [8497844209..._<101368>] (0.01%)

Φ₂₂₃₀₅₉(10) = 9009009009..._<148704> = 24849664837_<11> × [3625404635..._<148694>] (0.01%)

Φ_223060L(10) = 2796100002..._<42193> = 223061 × 669181 × 65579641 × 87662581 × [3258383256..._<42166>] (0.06%)

Φ_223060M(10) = 3540999996..._<42192> = 2899781 × 948836400161941_<15> × [1286972862..._<42171>] (0.05%)

Φ₂₂₃₀₆₁(10) = 1111111111..._<223061> = 446123 × 44538390453467_<14> × [5592015394..._<223041>] (0.01%)

Φ₂₂₃₀₆₂(10) = 1098900989..._<61825> = [1098900989..._<61825>] (0.00%)

Φ₂₂₃₀₆₃(10) = 1111111111..._<223063> = 8922521 × 493861483 × [2521533576..._<223047>] (0.01%)

Φ₂₂₃₀₆₄(10) = 9999000099..._<111528> = 8398805729_<10> × [1190526417..._<111519>] (0.01%)

Φ₂₂₃₀₆₅(10) = 1001000999..._<118945> = 48182041 × [2077539637..._<118937>] (0.01%)

Φ₂₂₃₀₆₆(10) = 9090909090..._<111532> = 2899859 × [3134948661..._<111526>] (0.01%)

Φ₂₂₃₀₆₇(10) = 9000000000..._<205896> = 4411393068031_<13> × [2040171859..._<205884>] (0.01%)

Φ₂₂₃₀₆₈(10) = 9901000000..._<71680> = 207453241 × [4772641754..._<71672>] (0.01%)

Φ₂₂₃₀₆₉(10) = 1111110999..._<173761> = 2619276199_<10> × 16516921037_<11> × [2568307724..._<173741>] (0.01%)

Φ₂₂₃₀₇₀(10) = 1099989000..._<89225> = 5353681 × 400141181441_<12> × 25541284791761_<14> × [2010387903..._<89193>] (0.04%)

Φ₂₂₃₀₇₁(10) = 9009009009..._<148712> = [9009009009..._<148712>] (0.00%)

Φ₂₂₃₀₇₂(10) = 9999999999..._<111520> = 4542638209_<10> × [2201363951..._<111511>] (0.01%)

Φ₂₂₃₀₇₃(10) = 9000000000..._<217008> = 126289655929_<12> × 8799684213443_<13> × [8098556979..._<216984>] (0.01%)

Φ₂₂₃₀₇₄(10) = 1000000000..._<69985> = [1000000000..._<69985>] (0.00%)

Φ₂₂₃₀₇₅(10) = 9999900000..._<178440> = 10662985001_<11> × [9378143173..._<178430>] (0.01%)

Φ₂₂₃₀₇₆(10) = 9900990099..._<92160> = 110422621 × [8966450904..._<92152>] (0.01%)

Φ₂₂₃₀₇₇(10) = 9009009009..._<137280> = [9009009009..._<137280>] (0.00%)

Φ₂₂₃₀₇₈(10) = 9090909090..._<111538> = [9090909090..._<111538>] (0.00%)

Φ₂₂₃₀₇₉(10) = 1111111111..._<206713> = 54218012477_<11> × [2049339436..._<206702>] (0.01%)

Φ₂₂₃₀₈₀(10) = 1000000000..._<49921> = 892321 × [1120672941..._<49915>] (0.01%)

Φ₂₂₃₀₈₁(10) = 9000000000..._<217600> = 34800637 × 375899962079_<12> × [6879914389..._<217581>] (0.01%)

Φ₂₂₃₀₈₂(10) = 1099999999..._<109901> = 29223743 × [3764062666..._<109893>] (0.01%)

Φ₂₂₃₀₈₃(10) = 1001000999..._<127441> = [1001000999..._<127441>] (0.00%)

Φ₂₂₃₀₈₄(10) = 1009999999..._<108865> = 30255098249_<11> × [3338280350..._<108854>] (0.01%)

Φ₂₂₃₀₈₅(10) = 9000090000..._<178464> = 48186361 × [1867767105..._<178457>] (0.00%)

Φ₂₂₃₀₈₆(10) = 1098901098..._<74361> = [1098901098..._<74361>] (0.00%)

Φ₂₂₃₀₈₇(10) = 1111111111..._<223087> = 16554393923_<11> × 16656567769_<11> × [4029569856..._<223066>] (0.01%)

Φ₂₂₃₀₈₈(10) = 1000000009..._<109441> = [1000000009..._<109441>] (0.00%)

Φ₂₂₃₀₈₉(10) = 9009009009..._<148724> = [9009009009..._<148724>] (0.00%)

Φ₂₂₃₀₉₀(10) = 9091000909..._<76464> = 174902561 × 6332405411291_<13> × [8208179046..._<76443>] (0.03%)

Φ₂₂₃₀₉₁(10) = 1111111111..._<190721> = 172814401527307_<15> × [6429505303..._<190706>] (0.01%)

Φ₂₂₃₀₉₂(10) = 1000000999..._<74353> = [1000000999..._<74353>] (0.00%)

Φ₂₂₃₀₉₃(10) = 9999999999..._<204360> = 1338559 × 44556133961_<11> × [1676698518..._<204344>] (0.01%)

Φ₂₂₃₀₉₄(10) = 1099999999..._<110881> = 84775721 × 4292014443649_<13> × [3023152242..._<110860>] (0.02%)

Φ₂₂₃₀₉₅(10) = 9009099100..._<117024> = 446191 × 742196015521_<12> × [2720457462..._<117007>] (0.01%)

Φ₂₂₃₀₉₆(10) = 1000099999..._<109825> = 1515629670617_<13> × [6598577603..._<109812>] (0.01%)

Φ₂₂₃₀₉₇(10) = 1000000100..._<183457> = [1000000100..._<183457>] (0.00%)

Φ₂₂₃₀₉₈(10) = 9999999999..._<69768> = 223099 × 9370117 × 281326579 × [1700382385..._<69748>] (0.03%)

Φ₂₂₃₀₉₉(10) = 1111111111..._<223099> = 607721677 × 3409398919_<10> × 15719965595963_<14> × [3411327007..._<223067>] (0.01%)

Φ_223100L(10) = 9900498006..._<42240> = 669301 × 1115501 × [1326067413..._<42229>] (0.03%)

Φ_223100M(10) = 1010050200..._<42241> = [1010050200..._<42241>] (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