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

Φ₁₀₈₁₀₁(10) = 9000000900..._<92652> = 29187271 × 1694692026133_<13> × [1819526044..._<92633>] (0.02%)

Φ₁₀₈₁₀₂(10) = 9100000000..._<35112> = 19350259 × 3157010809_<10> × [1489630449..._<35096>] (0.05%)

Φ₁₀₈₁₀₃(10) = 9000000000..._<101728> = 432413 × 24431279 × 31566077 × [2698838845..._<101708>] (0.02%)

Φ₁₀₈₁₀₄(10) = 9999000099..._<54048> = 479325568721_<12> × 14082125395007737_<17> × [1481350298..._<54021>] (0.05%)

Φ₁₀₈₁₀₅(10) = 1109988900..._<57649> = [1109988900..._<57649>] (0.00%)

Φ₁₀₈₁₀₆(10) = 1099999999..._<53581> = [1099999999..._<53581>] (0.00%)

Φ₁₀₈₁₀₇(10) = 1111111111..._<108107> = 22764090991_<11> × 814375332567281_<15> × [5993528396..._<108081>] (0.02%)

Φ₁₀₈₁₀₈(10) = 1000000000..._<25921> = 108109 × 1405512109_<10> × 7926625694989_<13> × [8302620883..._<25893>] (0.10%)

Φ₁₀₈₁₀₉(10) = 1111111111..._<108109> = 432437 × [2569417304..._<108103>] (0.01%)

Φ₁₀₈₁₁₀(10) = 9091000000..._<40896> = 2486531 × [3656097591..._<40890>] (0.02%)

Φ₁₀₈₁₁₁(10) = 9009009009..._<72072> = [9009009009..._<72072>] (0.00%)

Φ₁₀₈₁₁₂(10) = 1000000009..._<51969> = 18996683857_<11> × 80895885121_<11> × 241462102160593_<15> × [2694925728..._<51933>] (0.07%)

Φ₁₀₈₁₁₃(10) = 9000000000..._<106560> = 1297357 × 355991481291053_<15> × [1948692906..._<106540>] (0.02%)

Φ₁₀₈₁₁₄(10) = 9100000000..._<34992> = 663711847 × [1371076927..._<34984>] (0.03%)

Φ₁₀₈₁₁₅(10) = 1111099888..._<74113> = 7135591 × [1557123844..._<74106>] (0.01%)

Φ₁₀₈₁₁₆(10) = 1009999999..._<53401> = [1009999999..._<53401>] (0.00%)

Φ₁₀₈₁₁₇(10) = 1001000999..._<70081> = 1797658980427_<13> × 98606612429551_<14> × [5647043894..._<70054>] (0.04%)

Φ₁₀₈₁₁₈(10) = 9090909090..._<54058> = 5429225052967_<13> × 79995703802081_<14> × 83764327086049_<14> × [2498870227..._<54018>] (0.08%)

Φ₁₀₈₁₁₉(10) = 9000000000..._<98280> = [9000000000..._<98280>] (0.00%)

Φ₁₀₈₁₂₀(10) = 1000099999..._<26625> = 4001544250967761_<16> × [2499285119..._<26609>] (0.06%)

Φ₁₀₈₁₂₁(10) = 9000000000..._<99792> = 5189809 × [1734167866..._<99786>] (0.01%)

Φ₁₀₈₁₂₂(10) = 1099999890..._<46333> = [1099999890..._<46333>] (0.00%)

Φ₁₀₈₁₂₃(10) = 1109999999..._<68905> = 1081231 × 18380911 × [5585183646..._<68891>] (0.02%)

Φ₁₀₈₁₂₄(10) = 9900990099..._<54060> = 756869 × 96314618005729_<14> × 2082336731260408742869_<22> × [6522509827..._<54019>] (0.08%)

Φ₁₀₈₁₂₅(10) = 9999999999..._<86000> = [9999999999..._<86000>] (0.00%)

Φ₁₀₈₁₂₆(10) = 1000999998..._<36037> = 108127 × [9257632219..._<36031>] (0.01%)

Φ₁₀₈₁₂₇(10) = 1111111111..._<108127> = 4727594651471_<13> × 76998248336213_<14> × 2402275647565831_<16> × [1270613817..._<108085>] (0.04%)

Φ₁₀₈₁₂₈(10) = 1000000000..._<51841> = 8947483873_<10> × 4277365268801_<13> × 585310410598428840977451521_<27> × [4464126453..._<51791>] (0.10%)

Φ₁₀₈₁₂₉(10) = 9009009909..._<58320> = 16992920220319_<14> × [5301625496..._<58307>] (0.02%)

Φ₁₀₈₁₃₀(10) = 9091000000..._<39280> = 108131 × 1730081 × 1132445491_<10> × 992907185161_<12> × [4321843548..._<39248>] (0.08%)

Φ₁₀₈₁₃₁(10) = 1111111111..._<108131> = 858343879 × [1294482477..._<108122>] (0.01%)

Φ₁₀₈₁₃₂(10) = 1009998990..._<36041> = [1009998990..._<36041>] (0.00%)

Φ₁₀₈₁₃₃(10) = 9000000000..._<106540> = 12387032989905877_<17> × [7265662412..._<106524>] (0.02%)

Φ₁₀₈₁₃₄(10) = 1099999999..._<49897> = 529417657925573_<15> × [2077754648..._<49882>] (0.03%)

Φ₁₀₈₁₃₅(10) = 1000000000..._<57025> = 86508001 × [1155962440..._<57017>] (0.01%)

Φ₁₀₈₁₃₆(10) = 1000099999..._<46321> = 1847153956313_<13> × 37431883020964236096505279753_<29> × [1446434120..._<46280>] (0.09%)

Φ₁₀₈₁₃₇(10) = 9000000000..._<101760> = 7137043 × [1261026450..._<101754>] (0.01%)

Φ₁₀₈₁₃₈(10) = 9100000000..._<35376> = 108139 × 540691 × 79830472862053_<14> × [1949580627..._<35352>] (0.07%)

Φ₁₀₈₁₃₉(10) = 1111111111..._<108139> = [1111111111..._<108139>] (0.00%)

Φ_108140L(10) = 3576409999..._<21624> = 5731421 × 3815179201_<10> × 88089762601_<11> × 4180640626837584020701_<22> × [4441214732..._<21575>] (0.23%)

Φ_108140M(10) = 2824060999..._<21625> = 46283921 × [6101602756..._<21617>] (0.04%)

Φ₁₀₈₁₄₁(10) = 9009009009..._<62720> = [9009009009..._<62720>] (0.00%)

Φ₁₀₈₁₄₂(10) = 1099999999..._<53545> = 1067641195213_<13> × [1030308688..._<53533>] (0.02%)

Φ₁₀₈₁₄₃(10) = 9999999000..._<92652> = 2811719 × [3556542812..._<92646>] (0.01%)

Φ₁₀₈₁₄₄(10) = 1000000000..._<36001> = 216289 × 56308055637601_<14> × [8210980792..._<35981>] (0.05%)

Φ₁₀₈₁₄₅(10) = 1111099999..._<84337> = [1111099999..._<84337>] (0.00%)

Φ₁₀₈₁₄₆(10) = 1099999999..._<51701> = 1573730318131_<13> × 1969676940689_<13> × [3548684363..._<51676>] (0.05%)

Φ₁₀₈₁₄₇(10) = 9009009009..._<64032> = [9009009009..._<64032>] (0.00%)

Φ₁₀₈₁₄₈(10) = 1009999999..._<51193> = [1009999999..._<51193>] (0.00%)

Φ₁₀₈₁₄₉(10) = 9000000000..._<106764> = 705794151533707_<15> × [1275159333..._<106750>] (0.01%)

Φ₁₀₈₁₅₀(10) = 1000009999..._<24481> = [1000009999..._<24481>] (0.00%)

Φ₁₀₈₁₅₁(10) = 9999999999..._<103896> = 345988892329_<12> × [2890266196..._<103885>] (0.01%)

Φ₁₀₈₁₅₂(10) = 1000099999..._<49121> = 169041577 × 12197815169_<11> × 4517993560961_<13> × [1073549899..._<49090>] (0.06%)

Φ₁₀₈₁₅₃(10) = 1001000999..._<70561> = 4326121 × 6056569 × [3820403019..._<70547>] (0.02%)

Φ₁₀₈₁₅₄(10) = 1099999999..._<50881> = [1099999999..._<50881>] (0.00%)

Φ₁₀₈₁₅₅(10) = 1111099999..._<85249> = 7787161 × [1426835787..._<85242>] (0.01%)

Φ₁₀₈₁₅₆(10) = 1009998990..._<36049> = 324469 × [3112774995..._<36043>] (0.02%)

Φ₁₀₈₁₅₇(10) = 9000000900..._<92700> = 18819319 × 976657711 × 22311233153399_<14> × [2194687504..._<92671>] (0.03%)

Φ₁₀₈₁₅₈(10) = 1099999999..._<52721> = 216317 × 33420823 × 91199089325436931_<17> × [1668377759..._<52691>] (0.06%)

Φ₁₀₈₁₅₉(10) = 1109999999..._<69721> = 216319 × 432637 × [1186054522..._<69710>] (0.02%)

Φ₁₀₈₁₆₀(10) = 1000000000..._<39937> = [1000000000..._<39937>] (0.00%)

Φ₁₀₈₁₆₁(10) = 1111111111..._<108161> = 33903586057447287679_<20> × [3277267216..._<108141>] (0.02%)

Φ₁₀₈₁₆₂(10) = 1000000000..._<36037> = [1000000000..._<36037>] (0.00%)

Φ₁₀₈₁₆₃(10) = 9000000000..._<98320> = [9000000000..._<98320>] (0.00%)

Φ₁₀₈₁₆₄(10) = 1009999999..._<46345> = 216329 × 2163281 × 349966527308861_<15> × 1079208387505949_<16> × [5714284711..._<46303>] (0.09%)

Φ₁₀₈₁₆₅(10) = 1109988900..._<57681> = 83512053524513523388321_<23> × [1329136158..._<57658>] (0.04%)

Φ₁₀₈₁₆₆(10) = 9090909090..._<54082> = 2139198983_<10> × [4249679044..._<54073>] (0.02%)

Φ₁₀₈₁₆₇(10) = 9000000000..._<102456> = 63169529 × [1424737550..._<102449>] (0.01%)

Φ₁₀₈₁₆₈(10) = 1000099999..._<36049> = 35262769 × [2836135755..._<36041>] (0.02%)

Φ₁₀₈₁₆₉(10) = 9000000000..._<103444> = [9000000000..._<103444>] (0.00%)

Φ₁₀₈₁₇₀(10) = 9091000000..._<41664> = 523961634241_<12> × [1735050699..._<41653>] (0.03%)

Φ₁₀₈₁₇₁(10) = 9990000009..._<57600> = 1081711 × 482681717911_<12> × 30300787137875311_<17> × [6314507483..._<57566>] (0.06%)

Φ₁₀₈₁₇₂(10) = 9900990099..._<54084> = 767009935019729_<15> × [1290855521..._<54070>] (0.03%)

Φ₁₀₈₁₇₃(10) = 1111111111..._<97345> = 6056446173961_<13> × 10741068972479_<14> × [1708016742..._<97319>] (0.03%)

Φ₁₀₈₁₇₄(10) = 9999999999..._<32560> = [9999999999..._<32560>] (0.00%)

Φ₁₀₈₁₇₅(10) = 9999900000..._<86520> = [9999900000..._<86520>] (0.00%)

Φ₁₀₈₁₇₆(10) = 9999999900..._<54080> = 14314000013906689_<17> × 23392753068989921_<17> × [2986466488..._<54048>] (0.06%)

Φ₁₀₈₁₇₇(10) = 1109999999..._<71233> = 171099894013390366477_<21> × [6487438267..._<71212>] (0.03%)

Φ₁₀₈₁₇₈(10) = 1099999890..._<46357> = 108179 × 3678053 × [2764596132..._<46345>] (0.03%)

Φ₁₀₈₁₇₉(10) = 1111111111..._<108179> = 24664813 × 277370957 × [1624122109..._<108163>] (0.01%)

Φ_108180L(10) = 9048972901..._<14400> = 432721 × 2591343721_<10> × 8228005103965636424925181_<25> × [9807803150..._<14360>] (0.28%)

Φ_108180M(10) = 1105096689..._<14401> = 180488593801_<12> × [6122806248..._<14389>] (0.08%)

Φ₁₀₈₁₈₁(10) = 9000000000..._<107500> = 385970984507_<12> × [2331781496..._<107489>] (0.01%)

Φ₁₀₈₁₈₂(10) = 9090909090..._<54090> = 217143018583_<12> × [4186599758..._<54079>] (0.02%)

Φ₁₀₈₁₈₃(10) = 9009009009..._<72120> = 1298197 × [6939631665..._<72114>] (0.01%)

Φ₁₀₈₁₈₄(10) = 9999000099..._<54088> = [9999000099..._<54088>] (0.00%)

Φ₁₀₈₁₈₅(10) = 9000090900..._<67200> = 8896444612441_<13> × [1011650304..._<67188>] (0.02%)

Φ₁₀₈₁₈₆(10) = 1098901098..._<31105> = 216373 × 15146041 × 4697586065797_<13> × [7138084212..._<31079>] (0.08%)

Φ₁₀₈₁₈₇(10) = 1111111111..._<108187> = 8222213 × 47770835347_<11> × [2828824024..._<108169>] (0.02%)

Φ₁₀₈₁₈₈(10) = 9900990099..._<48384> = 8763229 × [1129833546..._<48378>] (0.01%)

Φ₁₀₈₁₈₉(10) = 9999999990..._<72108> = [9999999990..._<72108>] (0.00%)

Φ₁₀₈₁₉₀(10) = 9091000000..._<41760> = 125820534211_<12> × [7225370689..._<41749>] (0.03%)

Φ₁₀₈₁₉₁(10) = 1111111111..._<108191> = [1111111111..._<108191>] (0.00%)

Φ₁₀₈₁₉₂(10) = 9999999999..._<29568> = [9999999999..._<29568>] (0.00%)

Φ₁₀₈₁₉₃(10) = 1111111111..._<108193> = 1298317 × [8558087979..._<108186>] (0.01%)

Φ₁₀₈₁₉₄(10) = 1099999999..._<52901> = 33700050733_<11> × [3264090041..._<52890>] (0.02%)

Φ₁₀₈₁₉₅(10) = 1109988900..._<57697> = 2131538659111_<13> × [5207453757..._<57684>] (0.02%)

Φ₁₀₈₁₉₆(10) = 1009999999..._<49161> = [1009999999..._<49161>] (0.00%)

Φ₁₀₈₁₉₇(10) = 9000000000..._<107520> = [9000000000..._<107520>] (0.00%)

Φ₁₀₈₁₉₈(10) = 1000999998..._<36061> = 216397 × 199510620121_<12> × [2318551905..._<36044>] (0.05%)

Φ₁₀₈₁₉₉(10) = 9000000900..._<80640> = 1087386100529_<13> × 14936006790797_<14> × [5541460898..._<80615>] (0.03%)

Φ₁₀₈₂₀₀(10) = 1000000000..._<43201> = [1000000000..._<43201>] (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