Factorization of cyclotomic number Phi

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Φ₂₁₅₅₀₁(10) = 1000000000..._<179521> = 2326548797_<10> × [4298212018..._<179511>] (0.01%)

Φ₂₁₅₅₀₂(10) = 9999999000..._<61488> = [9999999000..._<61488>] (0.00%)

Φ₂₁₅₅₀₃(10) = 1111111111..._<215503> = [1111111111..._<215503>] (0.00%)

Φ₂₁₅₅₀₄(10) = 9999999900..._<107744> = [9999999900..._<107744>] (0.00%)

Φ₂₁₅₅₀₅(10) = 1001000999..._<114913> = 1666991085391_<13> × [6004837151..._<114900>] (0.01%)

Φ₂₁₅₅₀₆(10) = 1099999999..._<107089> = 4741133 × 10344289 × [2242899950..._<107075>] (0.01%)

Φ₂₁₅₅₀₇(10) = 1111111111..._<215507> = 99995249 × [1111163902..._<215499>] (0.00%)

Φ₂₁₅₅₀₈(10) = 1009998990..._<71833> = 7747299462589_<13> × [1303678778..._<71820>] (0.02%)

Φ₂₁₅₅₀₉(10) = 1111110999..._<173761> = [1111110999..._<173761>] (0.00%)

Φ₂₁₅₅₁₀(10) = 9091000000..._<82368> = 237674914501091_<15> × [3824972449..._<82354>] (0.02%)

Φ₂₁₅₅₁₁(10) = 9009009009..._<143672> = 3879199 × 18095596627_<11> × 237273731803_<12> × [5408942871..._<143644>] (0.02%)

Φ₂₁₅₅₁₂(10) = 9999000099..._<93600> = 6680873 × [1496660705..._<93594>] (0.01%)

Φ₂₁₅₅₁₃(10) = 9000000000..._<211920> = 1874101049_<10> × 28188654719117_<14> × [1703629515..._<211898>] (0.01%)

Φ₂₁₅₅₁₄(10) = 9999999990..._<66096> = [9999999990..._<66096>] (0.00%)

Φ₂₁₅₅₁₅(10) = 9000090000..._<172408> = 386633911 × 8141294641_<10> × [2859258608..._<172390>] (0.01%)

Φ₂₁₅₅₁₆(10) = 9900990099..._<89712> = 859100655001_<12> × [1152483127..._<89701>] (0.01%)

Φ₂₁₅₅₁₇(10) = 1000000000..._<135433> = 73730285525437_<14> × [1356294761..._<135419>] (0.01%)

Φ₂₁₅₅₁₈(10) = 1099999999..._<107017> = 33189773 × 131714312770681_<15> × [2516259530..._<106995>] (0.02%)

Φ₂₁₅₅₁₉(10) = 9000000000..._<213696> = 1187078653_<10> × 32301566164837_<14> × [2347142375..._<213674>] (0.01%)

Φ₂₁₅₅₂₀(10) = 9999999999..._<57344> = [9999999999..._<57344>] (0.00%)

Φ₂₁₅₅₂₁(10) = 1111111111..._<215521> = 118586119831_<12> × [9369655678..._<215509>] (0.01%)

Φ₂₁₅₅₂₂(10) = 9090909090..._<107760> = [9090909090..._<107760>] (0.00%)

Φ₂₁₅₅₂₃(10) = 9990000009..._<111600> = 8864892037_<10> × [1126917278..._<111591>] (0.01%)

Φ₂₁₅₅₂₄(10) = 9900990099..._<107760> = 83407789 × 4965026389_<10> × [2390839686..._<107743>] (0.02%)

Φ₂₁₅₅₂₅(10) = 1000010000..._<167041> = [1000010000..._<167041>] (0.00%)

Φ₂₁₅₅₂₆(10) = 9100000000..._<67584> = 1952691854173_<13> × [4660233503..._<67572>] (0.02%)

Φ₂₁₅₅₂₇(10) = 1111111111..._<194881> = [1111111111..._<194881>] (0.00%)

Φ₂₁₅₅₂₈(10) = 1000099999..._<103937> = 1293169 × [7733714618..._<103930>] (0.01%)

Φ₂₁₅₅₂₉(10) = 9009009009..._<143684> = 32329351 × 2573929650079_<13> × [1082638238..._<143665>] (0.01%)

Φ₂₁₅₅₃₀(10) = 9091000909..._<73872> = [9091000909..._<73872>] (0.00%)

Φ₂₁₅₅₃₁(10) = 1111111111..._<215531> = 10776551 × [1031045193..._<215524>] (0.00%)

Φ₂₁₅₅₃₂(10) = 1000000999..._<71833> = [1000000999..._<71833>] (0.00%)

Φ₂₁₅₅₃₃(10) = 9000000000..._<206140> = [9000000000..._<206140>] (0.00%)

Φ₂₁₅₅₃₄(10) = 9090909091..._<96000> = [9090909091..._<96000>] (0.00%)

Φ₂₁₅₅₃₅(10) = 1109988900..._<114945> = 21361884212161_<14> × [5196118886..._<114931>] (0.01%)

Φ₂₁₅₅₃₆(10) = 1000000009..._<101953> = 1508753 × [6627990201..._<101946>] (0.01%)

Φ₂₁₅₅₃₇(10) = 1111110999..._<180001> = 3017519 × 5172889 × [7118267006..._<179987>] (0.01%)

Φ₂₁₅₅₃₈(10) = 1098901098..._<71845> = 431077 × 9052597 × 12847560418183_<14> × [2191845308..._<71819>] (0.04%)

Φ₂₁₅₅₃₉(10) = 9000000000..._<212256> = 862157 × [1043893397..._<212251>] (0.00%)

Φ_215540L(10) = 2796097203..._<39745> = 1373851961_<10> × [2035224524..._<39736>] (0.02%)

Φ_215540M(10) = 3541003541..._<39744> = 3879721 × 155518235218980609801281_<24> × [5868735629..._<39714>] (0.07%)

Φ₂₁₅₅₄₁(10) = 9999999999..._<143532> = [9999999999..._<143532>] (0.00%)

Φ₂₁₅₅₄₂(10) = 1099999999..._<105433> = [1099999999..._<105433>] (0.00%)

Φ₂₁₅₅₄₃(10) = 1111111111..._<195841> = 3017603 × 5604119 × 21985387 × [2988504570..._<195820>] (0.01%)

Φ₂₁₅₅₄₄(10) = 9999000100..._<61536> = 22201033 × 16290599977_<11> × [2764689167..._<61519>] (0.03%)

Φ₂₁₅₅₄₅(10) = 1111099999..._<156721> = 46442670269711_<14> × [2392411964..._<156707>] (0.01%)

Φ₂₁₅₅₄₆(10) = 9090909090..._<107772> = 16641660023_<11> × [5462741744..._<107762>] (0.01%)

Φ₂₁₅₅₄₇(10) = 9009009009..._<143696> = 303059083 × [2972690644..._<143688>] (0.01%)

Φ₂₁₅₅₄₈(10) = 9900990099..._<107772> = 5415859049_<10> × [1828147669..._<107763>] (0.01%)

Φ₂₁₅₅₄₉(10) = 9000000000..._<214620> = 25865881 × 91925182031_<11> × [3785129440..._<214602>] (0.01%)

Φ₂₁₅₅₅₀(10) = 9999999999..._<57360> = [9999999999..._<57360>] (0.00%)

Φ₂₁₅₅₅₁(10) = 1000000100..._<179089> = [1000000100..._<179089>] (0.00%)

Φ₂₁₅₅₅₂(10) = 9999999999..._<107520> = [9999999999..._<107520>] (0.00%)

Φ₂₁₅₅₅₃(10) = 1109999999..._<132625> = 431107 × 15950923 × [1614180459..._<132612>] (0.01%)

Φ₂₁₅₅₅₄(10) = 9090909090..._<107776> = [9090909090..._<107776>] (0.00%)

Φ₂₁₅₅₅₅(10) = 1111099999..._<163297> = 13450561297961_<14> × [8260621808..._<163283>] (0.01%)

Φ₂₁₅₅₅₆(10) = 1009998990..._<61601> = 61876621580401_<14> × [1632278822..._<61587>] (0.02%)

Φ₂₁₅₅₅₇(10) = 9000000000..._<208096> = 8904659671_<10> × 919830895742867_<15> × [1098796306..._<208072>] (0.01%)

Φ₂₁₅₅₅₈(10) = 9090910000..._<90816> = [9090910000..._<90816>] (0.00%)

Φ₂₁₅₅₅₉(10) = 1001000999..._<140113> = 17675839 × 77669787763_<11> × [7291256150..._<140094>] (0.01%)

Φ₂₁₅₅₆₀(10) = 9999000099..._<80896> = [9999000099..._<80896>] (0.00%)

Φ₂₁₅₅₆₁(10) = 9000000000..._<214032> = 11596319557_<11> × [7761083122..._<214022>] (0.00%)

Φ₂₁₅₅₆₂(10) = 9100000000..._<69840> = [9100000000..._<69840>] (0.00%)

Φ₂₁₅₅₆₃(10) = 1111111111..._<215563> = 1056609205439_<13> × 3366424521323_<13> × [3123735253..._<215538>] (0.01%)

Φ₂₁₅₅₆₄(10) = 9900990099..._<107780> = 21987529 × 413863735114469_<15> × [1088039915..._<107759>] (0.02%)

Φ₂₁₅₅₆₅(10) = 9009100000..._<98496> = 51304471 × 93124081 × 137961601 × [1366803140..._<98473>] (0.02%)

Φ₂₁₅₅₆₆(10) = 1099999999..._<99481> = [1099999999..._<99481>] (0.00%)

Φ₂₁₅₅₆₇(10) = 9000000000..._<195960> = 504883782041_<12> × [1782588453..._<195949>] (0.01%)

Φ₂₁₅₅₆₈(10) = 1000000000..._<71713> = [1000000000..._<71713>] (0.00%)

Φ₂₁₅₅₆₉(10) = 9000000000..._<212544> = 3543954361_<10> × 95084036797_<11> × [2670833270..._<212524>] (0.01%)

Φ₂₁₅₅₇₀(10) = 1099989000..._<86225> = 1940131 × [5669663543..._<86218>] (0.01%)

Φ₂₁₅₅₇₁(10) = 1109999999..._<142561> = [1109999999..._<142561>] (0.00%)

Φ₂₁₅₅₇₂(10) = 1009999999..._<92377> = [1009999999..._<92377>] (0.00%)

Φ₂₁₅₅₇₃(10) = 1111111111..._<215573> = 431147 × [2577105050..._<215567>] (0.00%)

Φ₂₁₅₅₇₄(10) = 1098901098..._<64801> = [1098901098..._<64801>] (0.00%)

Φ₂₁₅₅₇₅(10) = 9999900000..._<172440> = 78257764444351_<14> × [1277815699..._<172427>] (0.01%)

Φ₂₁₅₅₇₆(10) = 9999000099..._<107784> = [9999000099..._<107784>] (0.00%)

Φ₂₁₅₅₇₇(10) = 1001000999..._<135169> = 143143129 × 72653329387_<11> × 9210564835399_<13> × [1045014267..._<135137>] (0.02%)

Φ₂₁₅₅₇₈(10) = 9090909091..._<95200> = 4026781463_<10> × [2257611736..._<95191>] (0.01%)

Φ₂₁₅₅₇₉(10) = 9000000900..._<161568> = 8192003 × [1098632520..._<161562>] (0.00%)

Φ_215580L(10) = 2529932837..._<28737> = 2506645342117403821_<19> × [1009290303..._<28719>] (0.06%)

Φ_215580M(10) = 3913542626..._<28736> = [3913542626..._<28736>] (0.00%)

Φ₂₁₅₅₈₁(10) = 9000000000..._<214272> = 16815319 × 117483452923_<12> × [4555758525..._<214254>] (0.01%)

Φ₂₁₅₅₈₂(10) = 9090909090..._<107790> = 11230943487769_<14> × [8094519486..._<107777>] (0.01%)

Φ₂₁₅₅₈₃(10) = 9009009009..._<143720> = 18108973 × [4974886764..._<143713>] (0.01%)

Φ₂₁₅₅₈₄(10) = 9999999999..._<107776> = [9999999999..._<107776>] (0.00%)

Φ₂₁₅₅₈₅(10) = 9000090000..._<172464> = [9000090000..._<172464>] (0.00%)

Φ₂₁₅₅₈₆(10) = 1000999998..._<58465> = [1000999998..._<58465>] (0.00%)

Φ₂₁₅₅₈₇(10) = 1111111111..._<215587> = 18271860599_<11> × 63778904086147_<14> × 36813515858241443_<17> × [2589943967..._<215546>] (0.02%)

Φ₂₁₅₅₈₈(10) = 9900990099..._<107792> = 1293529 × 1119979661_<10> × 20929283041_<11> × [3265411886..._<107767>] (0.02%)

Φ₂₁₅₅₈₉(10) = 9009009009..._<126960> = 127628689 × [7058764827..._<126952>] (0.01%)

Φ₂₁₅₅₉₀(10) = 1099989000..._<86233> = 297048805867001_<15> × [3703058145..._<86218>] (0.02%)

Φ₂₁₅₅₉₁(10) = 9000000000..._<212784> = [9000000000..._<212784>] (0.00%)

Φ₂₁₅₅₉₂(10) = 9999000100..._<66240> = [9999000100..._<66240>] (0.00%)

Φ₂₁₅₅₉₃(10) = 1111110999..._<174961> = [1111110999..._<174961>] (0.00%)

Φ₂₁₅₅₉₄(10) = 1000000000..._<101185> = [1000000000..._<101185>] (0.00%)

Φ₂₁₅₅₉₅(10) = 1000000001..._<114913> = 431191 × [2319157869..._<114907>] (0.00%)

Φ₂₁₅₅₉₆(10) = 9900990099..._<107796> = 2802749 × 44431101661_<11> × [7950736093..._<107779>] (0.02%)

Φ₂₁₅₅₉₇(10) = 9000000000..._<214140> = 362202961 × 1429408111_<10> × [1738338188..._<214123>] (0.01%)

Φ₂₁₅₅₉₈(10) = 1098901098..._<71865> = 8088754020481_<13> × [1358554229..._<71852>] (0.02%)

Φ₂₁₅₅₉₉(10) = 9000000000..._<209736> = 862397 × [1043602888..._<209731>] (0.00%)

Φ₂₁₅₆₀₀(10) = 9999999999..._<67200> = 11320293601_<11> × [8833693146..._<67190>] (0.01%)

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