Factorization of cyclotomic number Phi

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Φ₂₉₉₉₀₁(10) = 1109999889..._<171361> = 599803 × 1402337077_<10> × [1319659489..._<171346>] (0.01%)

Φ₂₉₉₉₀₂(10) = 1099999999..._<148513> = 299903 × 9896767 × [3706111910..._<148500>] (0.01%)

Φ₂₉₉₉₀₃(10) = 1111111111..._<299903> = 28819478689_<11> × (3855417105..._<299892>) (0.00%)

Φ₂₉₉₉₀₄(10) = 9999999999..._<89600> = 39887233 × [2507067863..._<89593>] (0.01%)

Φ₂₉₉₉₀₅(10) = 9000090000..._<239920> = 42186427133041_<14> × (2133408921..._<239907>) (0.01%)

Φ₂₉₉₉₀₆(10) = 9090909090..._<149952> = [9090909090..._<149952>] (0.00%)

Φ₂₉₉₉₀₇(10) = 1001000999..._<195409> = 1650688129_<10> × 42670767961_<11> × 1002704265289_<13> × [1417314276..._<195377>] (0.02%)

Φ₂₉₉₉₀₈(10) = 1009999999..._<128521> = 299909 × 29990801 × 4359162781_<10> × [2575969538..._<128498>] (0.02%)

Φ₂₉₉₉₀₉(10) = 1111111111..._<299909> = 5398363 × 2548626683_<10> × 55675106761_<11> × (1450534698..._<299882>) (0.01%)

Φ₂₉₉₉₁₀(10) = 1098890109..._<73729> = [1098890109..._<73729>] (0.00%)

Φ₂₉₉₉₁₁(10) = 9000000000..._<298792> = (9000000000..._<298792>) (0.00%)

Φ₂₉₉₉₁₂(10) = 9999000099..._<149952> = 4280532734261684449_<19> × 26483555133285114793_<20> × 107911061915460883817_<21> × [8173658709..._<149894>] (0.04%)

Φ₂₉₉₉₁₃(10) = 9009009009..._<199940> = 70179643 × 3507782449_<10> × 58223910169_<11> × 11187999538951_<14> × [5617969897..._<199899>] (0.02%)

Φ₂₉₉₉₁₄(10) = 1099999999..._<141121> = 18143878963247_<14> × [6062650672..._<141107>] (0.01%)

Φ₂₉₉₉₁₅(10) = 1111099888..._<172801> = 654811017631_<12> × [1696825280..._<172789>] (0.01%)

Φ₂₉₉₉₁₆(10) = 1000000000..._<99937> = 899749 × [1111421074..._<99931>] (0.01%)

Φ₂₉₉₉₁₇(10) = 9000000000..._<298080> = 271124969 × 1277046587_<10> × (2599358933..._<298063>) (0.01%)

Φ₂₉₉₉₁₈(10) = 1099999999..._<144761> = [1099999999..._<144761>] (0.00%)

Φ₂₉₉₉₁₉(10) = 1109999999..._<198657> = 169154317 × [6562055404..._<198648>] (0.00%)

Φ₂₉₉₉₂₀(10) = 9999999900..._<114048> = [9999999900..._<114048>] (0.00%)

Φ₂₉₉₉₂₁(10) = 9000000000..._<297012> = 599843 × 47103192893_<11> × 460219776871_<12> × (6921325755..._<296984>) (0.01%)

Φ₂₉₉₉₂₂(10) = 1098900989..._<82945> = 1199689 × [9159882177..._<82938>] (0.01%)

Φ₂₉₉₉₂₃(10) = 9000000000..._<276840> = 36195907333_<11> × 2534005535068489_<16> × (9812405394..._<276814>) (0.01%)

Φ₂₉₉₉₂₄(10) = 1009999999..._<148225> = 5998481 × [1683759605..._<148218>] (0.00%)

Φ₂₉₉₉₂₅(10) = 9999999999..._<151200> = 1028742751_<10> × [9720603124..._<151191>] (0.01%)

Φ₂₉₉₉₂₆(10) = 1099999999..._<136321> = 1950527513172041_<16> × [5639500045..._<136305>] (0.01%)

Φ₂₉₉₉₂₇(10) = 9000000000..._<294216> = 1799563 × 141209565729862067_<18> × [3541696455..._<294193>] (0.01%)

Φ₂₉₉₉₂₈(10) = 1000099999..._<99969> = 1452733360297_<13> × 14780100624313_<14> × 794179035075889_<15> × [5864914814..._<99928>] (0.04%)

Φ₂₉₉₉₂₉(10) = 9999999000..._<257040> = (9999999000..._<257040>) (0.00%)

Φ₂₉₉₉₃₀(10) = 9091000000..._<118272> = 45589361 × 129322917611_<12> × [1541958405..._<118254>] (0.02%)

Φ₂₉₉₉₃₁(10) = 1109999999..._<188161> = [1109999999..._<188161>] (0.00%)

Φ₂₉₉₉₃₂(10) = 1009999999..._<148737> = [1009999999..._<148737>] (0.00%)

Φ₂₉₉₉₃₃(10) = 1111111111..._<299933> = 52788209 × 84183394843_<11> × 470768613790117_<15> × [5311126272..._<299899>] (0.01%)

Φ₂₉₉₉₃₄(10) = 9990010000..._<94608> = 16828396939_<11> × [5936400262..._<94598>] (0.01%)

Φ₂₉₉₉₃₅(10) = 1111099999..._<237985> = (1111099999..._<237985>) (0.00%)

Φ₂₉₉₉₃₆(10) = 9999999999..._<117504> = [9999999999..._<117504>] (0.00%)

Φ₂₉₉₉₃₇(10) = 9009009009..._<177600> = [9009009009..._<177600>] (0.00%)

Φ₂₉₉₉₃₈(10) = 9090909090..._<149968> = [9090909090..._<149968>] (0.00%)

Φ₂₉₉₉₃₉(10) = 9000000000..._<298656> = 68218726039_<11> × (1319285850..._<298646>) (0.00%)

Φ_299940L(10) = 3913542626..._<39984> = 1459508041_<10> × 167257341841_<12> × [1603165602..._<39964>] (0.05%)

Φ_299940M(10) = 2529932837..._<39985> = 299941 × 5098981 × 395149922262815014741_<21> × [4186276043..._<39952>] (0.08%)

Φ₂₉₉₉₄₁(10) = 1111111111..._<299941> = 476143900733778479_<18> × (2333561575..._<299923>) (0.01%)

Φ₂₉₉₉₄₂(10) = 9090909090..._<149970> = 2543587344689_<13> × 83308428885922445773_<20> × [4290142473..._<149938>] (0.02%)

Φ₂₉₉₉₄₃(10) = 1000000000..._<163945> = [1000000000..._<163945>] (0.00%)

Φ₂₉₉₉₄₄(10) = 9999000099..._<149968> = [9999000099..._<149968>] (0.00%)

Φ₂₉₉₉₄₅(10) = 1111099999..._<238001> = 5990837478401_<13> × 13183734538801_<14> × (1406783156..._<237975>) (0.01%)

Φ₂₉₉₉₄₆(10) = 1098901098..._<99981> = [1098901098..._<99981>] (0.00%)

Φ₂₉₉₉₄₇(10) = 9000000000..._<289576> = 4179348094038241_<16> × [2153445895..._<289561>] (0.01%)

Φ₂₉₉₉₄₈(10) = 9900990099..._<128000> = 115779929 × 228260429 × [3746404946..._<127984>] (0.01%)

Φ₂₉₉₉₄₉(10) = 1109999999..._<184561> = 20526709867_<11> × [5407588489..._<184550>] (0.01%)

Φ₂₉₉₉₅₀(10) = 9999900000..._<102720> = 1199801 × 5210431451_<10> × 3059967220451_<13> × [5227523293..._<102692>] (0.03%)

Φ₂₉₉₉₅₁(10) = 1111111111..._<299951> = (1111111111..._<299951>) (0.00%)

Φ₂₉₉₉₅₂(10) = 1000000000..._<99937> = 288253873 × [3469164141..._<99928>] (0.01%)

Φ₂₉₉₉₅₃(10) = 9000000000..._<284148> = (9000000000..._<284148>) (0.00%)

Φ₂₉₉₉₅₄(10) = 1099999999..._<146741> = 76188317 × [1443790916..._<146733>] (0.01%)

Φ₂₉₉₉₅₅(10) = 1109988900..._<159969> = 50992351 × 7376493361_<10> × 4005350107351_<13> × [7367551166..._<159938>] (0.02%)

Φ₂₉₉₉₅₆(10) = 9900990099..._<139200> = 6779005601_<10> × [1460537235..._<139191>] (0.01%)

Φ₂₉₉₉₅₇(10) = 1111110999..._<253153> = 133381279277_<12> × 25751724190403_<14> × (3234865710..._<253128>) (0.01%)

Φ₂₉₉₉₅₈(10) = 1098901098..._<99985> = 44869313416561_<14> × [2449115030..._<99971>] (0.01%)

Φ₂₉₉₉₅₉(10) = 1000000000..._<261361> = 5119084696133_<13> × 54781196613133_<14> × (3565957561..._<261334>) (0.01%)

Φ₂₉₉₉₆₀(10) = 1000099999..._<119969> = 4802266301641441_<16> × [2082558394..._<119953>] (0.01%)

Φ₂₉₉₉₆₁(10) = 9990000009..._<199968> = [9990000009..._<199968>] (0.00%)

Φ₂₉₉₉₆₂(10) = 9090909090..._<135792> = 13409501249_<11> × 3450437016677197_<16> × [1964810115..._<135767>] (0.02%)

Φ₂₉₉₉₆₃(10) = 9000000000..._<296088> = 4199483 × 13198373 × 196175803 × (8277150371..._<296066>) (0.01%)

Φ₂₉₉₉₆₄(10) = 9901000000..._<85680> = 77990641 × 1521016956061_<13> × 210020864571589_<15> × [3974111732..._<85646>] (0.04%)

Φ₂₉₉₉₆₅(10) = 1111099999..._<225793> = 49794191 × (2231384781..._<225785>) (0.00%)

Φ₂₉₉₉₆₆(10) = 1099999999..._<143441> = 1062479573_<10> × [1035314021..._<143432>] (0.01%)

Φ₂₉₉₉₆₇(10) = 9009009009..._<199976> = 646728853 × [1393011764..._<199968>] (0.00%)

Φ₂₉₉₉₆₈(10) = 1000000000..._<145153> = 26997121 × [3704098670..._<145145>] (0.01%)

Φ₂₉₉₉₆₉(10) = 1111111111..._<299969> = 3216867557_<10> × 30305868071_<11> × (1139718457..._<299949>) (0.01%)

Φ₂₉₉₉₇₀(10) = 1000000000..._<72001> = [1000000000..._<72001>] (0.00%)

Φ₂₉₉₉₇₁(10) = 9000000900..._<257112> = (9000000900..._<257112>) (0.00%)

Φ₂₉₉₉₇₂(10) = 1009999999..._<142057> = 643439941 × [1569688071..._<142048>] (0.01%)

Φ₂₉₉₉₇₃(10) = 9009009009..._<199980> = 1199893 × 1799839 × 92991631 × [4485976336..._<199960>] (0.01%)

Φ₂₉₉₉₇₄(10) = 1099999999..._<148681> = 4468934658761_<13> × 336489058687289_<15> × [7315057312..._<148653>] (0.02%)

Φ₂₉₉₉₇₅(10) = 1000000000..._<218401> = 2016431951_<10> × 8018331751_<10> × 28677610001_<11> × (2156698590..._<218371>) (0.01%)

Φ₂₉₉₉₇₆(10) = 9999000100..._<96320> = 299977 × 188984881 × [1763768384..._<96307>] (0.01%)

Φ₂₉₉₉₇₇(10) = 1111111111..._<299977> = 67794803 × (1638932575..._<299969>) (0.00%)

Φ₂₉₉₉₇₈(10) = 1000000099..._<128521> = [1000000099..._<128521>] (0.00%)

Φ₂₉₉₉₇₉(10) = 9990000009..._<199980> = [9990000009..._<199980>] (0.00%)

Φ_299980L(10) = 3541000000..._<58656> = [3541000000..._<58656>] (0.00%)

Φ_299980M(10) = 2796099999..._<58657> = 16498901 × 12625408849961_<14> × [1342308165..._<58637>] (0.03%)

Φ₂₉₉₉₈₁(10) = 9000000000..._<272700> = (9000000000..._<272700>) (0.00%)

Φ₂₉₉₉₈₂(10) = 9999999999..._<93568> = 299983 × 550257282583_<12> × [6058115609..._<93551>] (0.02%)

Φ₂₉₉₉₈₃(10) = 1111111111..._<299983> = 985644503446279_<15> × (1127293975..._<299968>) (0.00%)

Φ₂₉₉₉₈₄(10) = 9999999900..._<149984> = 8123620500114837925937_<22> × [1230978219..._<149963>] (0.01%)

Φ₂₉₉₉₈₅(10) = 9009100000..._<137088> = [9009100000..._<137088>] (0.00%)

Φ₂₉₉₉₈₆(10) = 9090909090..._<149992> = 9390161773_<10> × [9681312538..._<149982>] (0.01%)

Φ₂₉₉₉₈₇(10) = 9000000000..._<290280> = 1799923 × (5000213898..._<290274>) (0.00%)

Φ₂₉₉₉₈₈(10) = 9999990000..._<92160> = 10528078861_<11> × [9498399596..._<92150>] (0.01%)

Φ₂₉₉₉₈₉(10) = 9000000000..._<286924> = (9000000000..._<286924>) (0.00%)

Φ₂₉₉₉₉₀(10) = 9091000000..._<118560> = 8099731 × 277485650171_<12> × [4044832417..._<118542>] (0.02%)

Φ₂₉₉₉₉₁(10) = 1000000000..._<188785> = 3598692037_<10> × [2778787375..._<188775>] (0.01%)

Φ₂₉₉₉₉₂(10) = 9999000099..._<116640> = 299993 × 7199809 × 9042958849_<10> × 8045689530757649_<16> × [6362834860..._<116602>] (0.03%)

Φ₂₉₉₉₉₃(10) = 1111111111..._<299993> = 1073529150403_<13> × (1035007862..._<299981>) (0.00%)

Φ₂₉₉₉₉₄(10) = 1098901098..._<99997> = 3599929 × 12899743 × 1854862903_<10> × 3117537649_<10> × [4092230536..._<99964>] (0.03%)

Φ₂₉₉₉₉₅(10) = 9000090000..._<239992> = 550190831 × 1105383176641_<13> × (1479860074..._<239972>) (0.01%)

Φ₂₉₉₉₉₆(10) = 1009999999..._<145873> = 36899509 × 38693214591429090355181_<23> × [7074014970..._<145842>] (0.02%)

Φ₂₉₉₉₉₇(10) = 1000000001..._<194401> = 4358711612449_<13> × [2294255940..._<194388>] (0.01%)

Φ₂₉₉₉₉₈(10) = 1099999999..._<147481> = [1099999999..._<147481>] (0.00%)

Φ₂₉₉₉₉₉(10) = 1111110999..._<241921> = 599999 × 9599969 × 765597449 × 246755644878443_<15> × (1021102914..._<241885>) (0.01%)

Φ₃₀₀₀₀₀(10) = 1000000000..._<80001> = 3600001 × 47847600001_<11> × [5805467789..._<79983>] (0.02%)

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