Factorization of cyclotomic number Phi

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Φ₉₀₀₀₁(10) = 1111111111..._<90001> = 26607535637_<11> × 175086444903329_<15> × 143442175006235801_<18> × [1662736581..._<89959>] (0.05%)

Φ₉₀₀₀₂(10) = 1099999999..._<40901> = [1099999999..._<40901>] (0.00%)

Φ₉₀₀₀₃(10) = 1109999999..._<56809> = 48303172206131803_<17> × [2297985720..._<56792>] (0.03%)

Φ₉₀₀₀₄(10) = 9900990099..._<45000> = 2052952928447341_<16> × [4822804245..._<44985>] (0.03%)

Φ₉₀₀₀₅(10) = 1111099999..._<70289> = [1111099999..._<70289>] (0.00%)

Φ₉₀₀₀₆(10) = 9100000909..._<25704> = 90007 × 103981681651_<12> × [9723179701..._<25688>] (0.06%)

Φ₉₀₀₀₇(10) = 1111111111..._<90007> = 83778970434243805489_<20> × [1326241066..._<89987>] (0.02%)

Φ₉₀₀₀₈(10) = 9999000099..._<45000> = 49968822288313_<14> × [2001047781..._<44987>] (0.03%)

Φ₉₀₀₀₉(10) = 1001000999..._<58753> = 360037 × [2780272583..._<58747>] (0.01%)

Φ₉₀₀₁₀(10) = 1099989000..._<36001> = 90011 × 153738610171_<12> × [7948950727..._<35984>] (0.04%)

Φ₉₀₀₁₁(10) = 1111111111..._<90011> = 720089 × 9093091243_<10> × 781501605191_<12> × [2171350287..._<89983>] (0.03%)

Φ₉₀₀₁₂(10) = 9901000000..._<27648> = [9901000000..._<27648>] (0.00%)

Φ₉₀₀₁₃(10) = 1000000100..._<69721> = 360053 × 4680677 × 149061529 × 13118797603759_<14> × 171018327378803213_<18> × [1774282130..._<69670>] (0.07%)

Φ₉₀₀₁₄(10) = 9090909090..._<45006> = [9090909090..._<45006>] (0.00%)

Φ₉₀₀₁₅(10) = 9009099100..._<45056> = 1620271 × [5560242144..._<45050>] (0.01%)

Φ₉₀₀₁₆(10) = 1000000000..._<43009> = 900161 × 6521389153_<10> × [1703490399..._<42993>] (0.04%)

Φ₉₀₀₁₇(10) = 1111111111..._<90017> = [1111111111..._<90017>] (0.00%)

Φ₉₀₀₁₈(10) = 1000000000..._<29989> = [1000000000..._<29989>] (0.00%)

Φ₉₀₀₁₉(10) = 1111111111..._<90019> = 10082129 × [1102060002..._<90012>] (0.01%)

Φ_90020L(10) = 2798897498..._<15409> = 8011781 × [3493477291..._<15402>] (0.04%)

Φ_90020M(10) = 3537460769..._<15408> = 540121 × 49060901 × 739545333973076261_<18> × 28050316874575505740792801_<26> × [6435206335..._<15351>] (0.37%)

Φ₉₀₀₂₁(10) = 1109999999..._<58321> = 595543817425177441_<18> × [1863842705..._<58303>] (0.03%)

Φ₉₀₀₂₂(10) = 9090909090..._<40392> = 90023 × 360089 × 132244658573_<12> × 104816893615727_<15> × [2023180144..._<40357>] (0.09%)

Φ₉₀₀₂₃(10) = 1111111111..._<90023> = 18754708545431_<14> × [5924438166..._<90009>] (0.01%)

Φ₉₀₀₂₄(10) = 9999999999..._<26400> = [9999999999..._<26400>] (0.00%)

Φ₉₀₀₂₅(10) = 1000010000..._<66241> = 50923773944551_<14> × 424993013021255129811717975151_<30> × [4620638273..._<66197>] (0.07%)

Φ₉₀₀₂₆(10) = 9090909090..._<45012> = 180053 × 540157 × [9347316419..._<45001>] (0.02%)

Φ₉₀₀₂₇(10) = 1001000999..._<51409> = 1280268925489_<13> × [7818677623..._<51396>] (0.02%)

Φ₉₀₀₂₈(10) = 1009999999..._<44241> = [1009999999..._<44241>] (0.00%)

Φ₉₀₀₂₉(10) = 9000000000..._<89376> = 93990277 × 783972533 × [1221402298..._<89360>] (0.02%)

Φ₉₀₀₃₀(10) = 9100090999..._<24000> = 16995413251_<11> × 40337311291_<11> × [1327416034..._<23980>] (0.09%)

Φ₉₀₀₃₁(10) = 1111111111..._<90031> = 2214950944853_<13> × [5016414082..._<90018>] (0.01%)

Φ₉₀₀₃₂(10) = 1000000009..._<42241> = 431711903009_<12> × [2316359597..._<42229>] (0.03%)

Φ₉₀₀₃₃(10) = 9009009009..._<60020> = [9009009009..._<60020>] (0.00%)

Φ₉₀₀₃₄(10) = 9090910000..._<37584> = [9090910000..._<37584>] (0.00%)

Φ₉₀₀₃₅(10) = 1111099999..._<65441> = 144927538801_<12> × [7666589864..._<65429>] (0.02%)

Φ₉₀₀₃₆(10) = 9999990000..._<28800> = 8359662529_<10> × [1196219340..._<28791>] (0.03%)

Φ₉₀₀₃₇(10) = 9000000000..._<89356> = 1620667 × 2521037 × [2202771762..._<89344>] (0.01%)

Φ₉₀₀₃₈(10) = 1099999999..._<41545> = 180077 × 17017183 × [3589605889..._<41532>] (0.03%)

Φ₉₀₀₃₉(10) = 9009009009..._<60024> = [9009009009..._<60024>] (0.00%)

Φ₉₀₀₄₀(10) = 1000099999..._<36001> = 124795441 × [8013914546..._<35992>] (0.02%)

Φ₉₀₀₄₁(10) = 1111110999..._<73009> = 37260417080839_<14> × [2982014392..._<72995>] (0.02%)

Φ₉₀₀₄₂(10) = 9100000000..._<29232> = 144607453 × [6292898333..._<29224>] (0.03%)

Φ₉₀₀₄₃(10) = 9000000000..._<89208> = [9000000000..._<89208>] (0.00%)

Φ₉₀₀₄₄(10) = 9900990099..._<45020> = [9900990099..._<45020>] (0.00%)

Φ₉₀₀₄₅(10) = 9999999990..._<44352> = [9999999990..._<44352>] (0.00%)

Φ₉₀₀₄₆(10) = 1099999999..._<40921> = 4093 × 476793571 × [5636643263..._<40908>] (0.03%)

Φ₉₀₀₄₇(10) = 9000000000..._<88296> = 540283 × [1665793667..._<88291>] (0.01%)

Φ₉₀₀₄₈(10) = 9999999999..._<25344> = [9999999999..._<25344>] (0.00%)

Φ₉₀₀₄₉(10) = 9000000000..._<84736> = 2521373 × 64294987 × [5551729514..._<84722>] (0.02%)

Φ₉₀₀₅₀(10) = 1000009999..._<36001> = 8374651 × 11886601 × 51868801 × 4411161702556601_<16> × [4390568459..._<35963>] (0.10%)

Φ₉₀₀₅₁(10) = 1109999999..._<55393> = 51058917001_<11> × 12646844114214643321_<20> × [1718973630..._<55363>] (0.05%)

Φ₉₀₀₅₂(10) = 1009999999..._<43977> = 147235021 × [6859781002..._<43968>] (0.02%)

Φ₉₀₀₅₃(10) = 1111111111..._<90053> = 8284877 × 18510754363_<11> × 741625039762244206747_<21> × [9769288228..._<90014>] (0.04%)

Φ₉₀₀₅₄(10) = 1000999998..._<30013> = 6072735116197_<13> × [1648351162..._<30000>] (0.04%)

Φ₉₀₀₅₅(10) = 9000090900..._<59040> = [9000090900..._<59040>] (0.00%)

Φ₉₀₀₅₆(10) = 9999000099..._<45024> = [9999000099..._<45024>] (0.00%)

Φ₉₀₀₅₇(10) = 1109999999..._<54561> = 279717043 × 4901187670868347_<16> × [8096600629..._<54536>] (0.04%)

Φ₉₀₀₅₈(10) = 1099999999..._<43777> = 90059 × [1221421512..._<43772>] (0.01%)

Φ₉₀₀₅₉(10) = 1111111111..._<90059> = [1111111111..._<90059>] (0.00%)

Φ_90060L(10) = 3952674096..._<11232> = [3952674096..._<11232>] (0.00%)

Φ_90060M(10) = 2555229612..._<11233> = 36474301 × 2703000950101_<13> × 4305621081721_<13> × [6019507347..._<11200>] (0.29%)

Φ₉₀₀₆₁(10) = 9000000000..._<89152> = 6844637 × [1314898072..._<89146>] (0.01%)

Φ₉₀₀₆₂(10) = 1000000099..._<38557> = 42545382824729_<14> × [2350431547..._<38543>] (0.04%)

Φ₉₀₀₆₃(10) = 9990000009..._<60036> = 1080757 × [9243520985..._<60030>] (0.01%)

Φ₉₀₀₆₄(10) = 1000000009..._<41473> = [1000000009..._<41473>] (0.00%)

Φ₉₀₀₆₅(10) = 9000090000..._<72048> = 81048412721_<11> × [1110458514..._<72038>] (0.02%)

Φ₉₀₀₆₆(10) = 9100000000..._<28224> = 9006601 × [1010370060..._<28218>] (0.02%)

Φ₉₀₀₆₇(10) = 1111111111..._<90067> = 97272361 × 94181508064117_<14> × [1212836876..._<90045>] (0.02%)

Φ₉₀₀₆₈(10) = 9900990099..._<38720> = [9900990099..._<38720>] (0.00%)

Φ₉₀₀₆₉(10) = 1109999889..._<51457> = 85027117518001_<14> × [1305465740..._<51443>] (0.03%)

Φ₉₀₀₇₀(10) = 1099989000..._<36025> = 12159451 × 722361401 × 1517859641_<10> × [8250651250..._<35999>] (0.07%)

Φ₉₀₀₇₁(10) = 1111111111..._<90071> = 720569 × 30804283 × 697297957271332635761_<21> × 1924827353799249343559_<22> × [3729586095..._<90015>] (0.06%)

Φ₉₀₀₇₂(10) = 1000000000..._<29809> = 90073 × 7205761 × 222690349932049_<15> × [6918693969..._<29782>] (0.09%)

Φ₉₀₀₇₃(10) = 1111111111..._<90073> = 360293 × 48728952563_<11> × [6328701174..._<90056>] (0.02%)

Φ₉₀₀₇₄(10) = 1099999999..._<43457> = [1099999999..._<43457>] (0.00%)

Φ₉₀₀₇₅(10) = 1000010000..._<48001> = 1621351 × [6167757629..._<47994>] (0.01%)

Φ₉₀₀₇₆(10) = 1009999999..._<38593> = 270229 × 20984510394598129_<17> × [1781109331..._<38571>] (0.06%)

Φ₉₀₀₇₇(10) = 9999999999..._<81120> = 1261079 × 11772883747_<11> × 1755859497620827_<16> × [3836057335..._<81089>] (0.04%)

Φ₉₀₀₇₈(10) = 1098901098..._<30025> = [1098901098..._<30025>] (0.00%)

Φ₉₀₀₇₉(10) = 1111111111..._<77401> = [1111111111..._<77401>] (0.00%)

Φ₉₀₀₈₀(10) = 1000000000..._<35969> = [1000000000..._<35969>] (0.00%)

Φ₉₀₀₈₁(10) = 9990000009..._<60048> = 28645759 × [3487427234..._<60041>] (0.01%)

Φ₉₀₀₈₂(10) = 1099999999..._<44353> = 84947327 × [1294920086..._<44345>] (0.02%)

Φ₉₀₀₈₃(10) = 1111110999..._<72577> = 10809961 × 300516889 × 439599193793467_<15> × [7780500741..._<72546>] (0.04%)

Φ₉₀₀₈₄(10) = 1009998990..._<30025> = [1009998990..._<30025>] (0.00%)

Φ₉₀₀₈₅(10) = 1111099999..._<70225> = 7026631 × 51022277757313514320961_<23> × [3099175410..._<70195>] (0.04%)

Φ₉₀₀₈₆(10) = 1099999999..._<43561> = 540517 × [2035088628..._<43555>] (0.01%)

Φ₉₀₀₈₇(10) = 9009009009..._<60056> = [9009009009..._<60056>] (0.00%)

Φ₉₀₀₈₈(10) = 9999000099..._<45040> = 898717889 × [1112584963..._<45032>] (0.02%)

Φ₉₀₀₈₉(10) = 1111111111..._<90089> = 882151489 × 1046664091969_<13> × [1203391650..._<90068>] (0.02%)

Φ₉₀₀₉₀(10) = 9990010000..._<17280> = [9990010000..._<17280>] (0.00%)

Φ₉₀₀₉₁(10) = 9000000000..._<86152> = 99280283 × 923252569 × 155809295560693921_<18> × [6301814485..._<86118>] (0.04%)

Φ₉₀₀₉₂(10) = 1009999999..._<44401> = [1009999999..._<44401>] (0.00%)

Φ₉₀₀₉₃(10) = 1109999999..._<58929> = [1109999999..._<58929>] (0.00%)

Φ₉₀₀₉₄(10) = 1099999999..._<44521> = 3063197 × 962532048564487_<15> × [3730805071..._<44499>] (0.05%)

Φ₉₀₀₉₅(10) = 1111099999..._<69985> = 6486841 × 146784395711_<12> × [1166917103..._<69967>] (0.03%)

Φ₉₀₀₉₆(10) = 1000000009..._<30017> = 10541233 × 25046689 × 7490190423361_<13> × [5056679278..._<29989>] (0.09%)

Φ₉₀₀₉₇(10) = 1111110999..._<75601> = [1111110999..._<75601>] (0.00%)

Φ₉₀₀₉₈(10) = 1099999999..._<42661> = 376519543 × 59215468933_<11> × [4933668774..._<42641>] (0.05%)

Φ₉₀₀₉₉(10) = 1000000001..._<57961> = 1261387 × 8108911 × 392651443 × [2489900073..._<57939>] (0.04%)

Φ_90100L(10) = 1010050200..._<16641> = 630701 × [1601472331..._<16635>] (0.03%)

Φ_90100M(10) = 9900498006..._<16640> = [9900498006..._<16640>] (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