Factorization of cyclotomic number Phi

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Φ₂₀₆₈₀₁(10) = 1111110999..._<171361> = 320376109201_<12> × [3468145620..._<171349>] (0.01%)

Φ₂₀₆₈₀₂(10) = 1000999998..._<68929> = 11994517 × [8345479847..._<68921>] (0.01%)

Φ₂₀₆₈₀₃(10) = 1111111111..._<206803> = 827213 × [1343198319..._<206797>] (0.00%)

Φ₂₀₆₈₀₄(10) = 9900990099..._<92160> = 12408241 × 21714421 × 900412774402961_<15> × [4081111917..._<92131>] (0.03%)

Φ₂₀₆₈₀₅(10) = 9009099100..._<103680> = 951888258151_<12> × [9464450289..._<103668>] (0.01%)

Φ₂₀₆₈₀₆(10) = 1099999999..._<101401> = 206807 × 360049247 × 1656032133961_<13> × [8920655825..._<101374>] (0.03%)

Φ₂₀₆₈₀₇(10) = 1111111111..._<206807> = 17785403 × 4687073849_<10> × [1332882862..._<206790>] (0.01%)

Φ₂₀₆₈₀₈(10) = 9999000100..._<59040> = 81895969 × 4928718363913_<13> × [2477194142..._<59020>] (0.03%)

Φ₂₀₆₈₀₉(10) = 9000000000..._<203904> = [9000000000..._<203904>] (0.00%)

Φ₂₀₆₈₁₀(10) = 1099989000..._<82721> = 21508241 × [5114267596..._<82713>] (0.01%)

Φ₂₀₆₈₁₁(10) = 1001000999..._<125281> = 19026613 × [5261057235..._<125273>] (0.01%)

Φ₂₀₆₈₁₂(10) = 1009999999..._<102417> = 3102181 × 220254781 × 3102180001_<10> × [4764988997..._<102392>] (0.02%)

Φ₂₀₆₈₁₃(10) = 1111111111..._<206813> = 143114597 × 2619075724853479637_<19> × [2964322860..._<206786>] (0.01%)

Φ₂₀₆₈₁₄(10) = 1098901098..._<68937> = [1098901098..._<68937>] (0.00%)

Φ₂₀₆₈₁₅(10) = 9000090900..._<133920> = [9000090900..._<133920>] (0.00%)

Φ₂₀₆₈₁₆(10) = 1000000000..._<98561> = [1000000000..._<98561>] (0.00%)

Φ₂₀₆₈₁₇(10) = 1109999999..._<127249> = 75661931281_<11> × 240488870392759_<15> × [6100291299..._<127223>] (0.02%)

Φ₂₀₆₈₁₈(10) = 9090909090..._<103408> = 206819 × [4395587006..._<103403>] (0.01%)

Φ₂₀₆₈₁₉(10) = 1111111111..._<206819> = 6362166079_<10> × [1746435250..._<206809>] (0.00%)

Φ_206820L(10) = 1000100005..._<27505> = 1177972057981_<13> × 44170020422641_<14> × [1922121517..._<27479>] (0.09%)

Φ_206820M(10) = 9999000049..._<27504> = 192549421 × [5192952540..._<27496>] (0.03%)

Φ₂₀₆₈₂₁(10) = 1111111111..._<206821> = [1111111111..._<206821>] (0.00%)

Φ₂₀₆₈₂₂(10) = 1099999889..._<74881> = 32677877 × 150152773 × [2241844321..._<74865>] (0.02%)

Φ₂₀₆₈₂₃(10) = 1109999999..._<135801> = 827293 × 77765449 × 468660919 × 911910540928027_<15> × [4037067116..._<135763>] (0.03%)

Φ₂₀₆₈₂₄(10) = 1000099999..._<102001> = 1861417 × 33443877819113_<14> × [1606508853..._<101981>] (0.02%)

Φ₂₀₆₈₂₅(10) = 9999900000..._<165440> = [9999900000..._<165440>] (0.00%)

Φ₂₀₆₈₂₆(10) = 1098901098..._<68941> = [1098901098..._<68941>] (0.00%)

Φ₂₀₆₈₂₇(10) = 1111111111..._<206827> = [1111111111..._<206827>] (0.00%)

Φ₂₀₆₈₂₈(10) = 1009999999..._<99793> = [1009999999..._<99793>] (0.00%)

Φ₂₀₆₈₂₉(10) = 1000000000..._<116425> = 538582717 × 11531096074387_<14> × [1610189523..._<116403>] (0.02%)

Φ₂₀₆₈₃₀(10) = 1099989000..._<72577> = [1099989000..._<72577>] (0.00%)

Φ₂₀₆₈₃₁(10) = 9000000000..._<204792> = [9000000000..._<204792>] (0.00%)

Φ₂₀₆₈₃₂(10) = 9999999900..._<66240> = 4136641 × 693507697 × 983101811126689_<15> × [3545703220..._<66210>] (0.05%)

Φ₂₀₆₈₃₃(10) = 9000000000..._<188020> = 9514319 × [9459426365..._<188013>] (0.00%)

Φ₂₀₆₈₃₄(10) = 1099999999..._<97957> = 4757183 × [2312292800..._<97950>] (0.01%)

Φ₂₀₆₈₃₅(10) = 1109988900..._<110305> = [1109988900..._<110305>] (0.00%)

Φ₂₀₆₈₃₆(10) = 9900990099..._<86592> = 1315476961_<10> × [7526540101..._<86583>] (0.01%)

Φ₂₀₆₈₃₇(10) = 9000000000..._<205920> = [9000000000..._<205920>] (0.00%)

Φ₂₀₆₈₃₈(10) = 1000999998..._<68941> = 3102571 × [3226356460..._<68934>] (0.01%)

Φ₂₀₆₈₃₉(10) = 9999999999..._<186208> = 123689723 × 76290910439_<11> × [1059725989..._<186190>] (0.01%)

Φ₂₀₆₈₄₀(10) = 1000099999..._<82721> = 53364721 × 62401825596241_<14> × [3003252786..._<82699>] (0.03%)

Φ₂₀₆₈₄₁(10) = 9009009009..._<137892> = 413683 × 13651507 × 66602803 × [2395169451..._<137872>] (0.01%)

Φ₂₀₆₈₄₂(10) = 9090909090..._<103420> = [9090909090..._<103420>] (0.00%)

Φ₂₀₆₈₄₃(10) = 1111110999..._<163585> = [1111110999..._<163585>] (0.00%)

Φ₂₀₆₈₄₄(10) = 9901000000..._<62640> = 41976921361_<11> × [2358677025..._<62630>] (0.02%)

Φ₂₀₆₈₄₅(10) = 1111099999..._<161281> = [1111099999..._<161281>] (0.00%)

Φ₂₀₆₈₄₆(10) = 9090909090..._<103422> = [9090909090..._<103422>] (0.00%)

Φ₂₀₆₈₄₇(10) = 1000000001..._<134137> = 35163991 × 115311824479_<12> × [2466198314..._<134118>] (0.01%)

Φ₂₀₆₈₄₈(10) = 9999999999..._<102400> = 921462126593_<12> × 19339652149249_<14> × 647775348692993_<15> × [8662623415..._<102360>] (0.04%)

Φ₂₀₆₈₄₉(10) = 9000000000..._<205140> = [9000000000..._<205140>] (0.00%)

Φ₂₀₆₈₅₀(10) = 1000009999..._<47041> = [1000009999..._<47041>] (0.00%)

Φ₂₀₆₈₅₁(10) = 9000000000..._<203400> = 32268757 × [2789075513..._<203393>] (0.00%)

Φ₂₀₆₈₅₂(10) = 9900990099..._<103424> = 2895929 × 21512609 × 45383964663049_<14> × [3501831137..._<103397>] (0.03%)

Φ₂₀₆₈₅₃(10) = 1000000000..._<129961> = [1000000000..._<129961>] (0.00%)

Φ₂₀₆₈₅₄(10) = 1099999999..._<101617> = 3102811 × 2299182211_<10> × [1541927564..._<101601>] (0.02%)

Φ₂₀₆₈₅₅(10) = 1111099999..._<150401> = 413711 × 129933072281_<12> × [2066980463..._<150384>] (0.01%)

Φ₂₀₆₈₅₆(10) = 9999999999..._<59904> = 1402483681_<10> × [7130207741..._<59895>] (0.02%)

Φ₂₀₆₈₅₇(10) = 1111110999..._<171025> = 8274281 × [1342849004..._<171018>] (0.00%)

Φ₂₀₆₈₅₈(10) = 1099999999..._<102785> = 4675823817167_<13> × [2352526619..._<102772>] (0.01%)

Φ₂₀₆₈₅₉(10) = 1109999999..._<135201> = [1109999999..._<135201>] (0.00%)

Φ_206860L(10) = 3576409999..._<41368> = 1241161 × [2881503688..._<41362>] (0.01%)

Φ_206860M(10) = 2824060999..._<41369> = [2824060999..._<41369>] (0.00%)

Φ₂₀₆₈₆₁(10) = 9000000000..._<205824> = 751350181151_<12> × [1197843592..._<205813>] (0.01%)

Φ₂₀₆₈₆₂(10) = 9100000000..._<65912> = 827635942401481_<15> × [1099517255..._<65898>] (0.02%)

Φ₂₀₆₈₆₃(10) = 9000000000..._<200160> = 40076396443_<11> × [2245710891..._<200150>] (0.01%)

Φ₂₀₆₈₆₄(10) = 1000000009..._<88609> = 45303217 × 161147057 × [1369772942..._<88593>] (0.02%)

Φ₂₀₆₈₆₅(10) = 1001000999..._<110305> = 23168881 × [4320454665..._<110297>] (0.01%)

Φ₂₀₆₈₆₆(10) = 1099999999..._<94021> = 1241197 × [8862412654..._<94014>] (0.01%)

Φ₂₀₆₈₆₇(10) = 9000000000..._<201240> = [9000000000..._<201240>] (0.00%)

Φ₂₀₆₈₆₈(10) = 1009998990..._<68953> = [1009998990..._<68953>] (0.00%)

Φ₂₀₆₈₆₉(10) = 9000000000..._<190944> = 56682107 × [1587802655..._<190937>] (0.00%)

Φ₂₀₆₈₇₀(10) = 9091000000..._<81600> = 7458533181481_<13> × [1218872367..._<81588>] (0.02%)

Φ₂₀₆₈₇₁(10) = 1109999889..._<118201> = 4466588584039_<13> × [2485117821..._<118188>] (0.01%)

Φ₂₀₆₈₇₂(10) = 1000099999..._<97921> = 27566746978481_<14> × [3627921715..._<97907>] (0.01%)

Φ₂₀₆₈₇₃(10) = 1111111111..._<189505> = 596207987 × [1863630034..._<189496>] (0.00%)

Φ₂₀₆₈₇₄(10) = 1000000000..._<68905> = 3930607 × 7885623133_<10> × 116511287643847_<15> × [2769085447..._<68874>] (0.04%)

Φ₂₀₆₈₇₅(10) = 9999999999..._<165000> = 211827591223751_<15> × 653250154020001_<15> × [7226665474..._<164971>] (0.02%)

Φ₂₀₆₈₇₆(10) = 9900990099..._<103436> = 1034381 × 80260233589_<11> × [1192607873..._<103420>] (0.02%)

Φ₂₀₆₈₇₇(10) = 1109999999..._<125361> = 3723787 × 29803528129_<11> × 221192314523203_<15> × [4521686367..._<125329>] (0.03%)

Φ₂₀₆₈₇₈(10) = 1000000099..._<88621> = 3310049 × [3021103615..._<88614>] (0.01%)

Φ₂₀₆₈₇₉(10) = 1111111111..._<206879> = 413759 × [2685406507..._<206873>] (0.00%)

Φ₂₀₆₈₈₀(10) = 9999999999..._<55040> = [9999999999..._<55040>] (0.00%)

Φ₂₀₆₈₈₁(10) = 9000000000..._<205972> = 31032151 × 561888797 × [5161551399..._<205956>] (0.01%)

Φ₂₀₆₈₈₂(10) = 9090909090..._<93312> = 620647 × [1464747125..._<93307>] (0.01%)

Φ₂₀₆₈₈₃(10) = 1001000999..._<136081> = 18235752514453_<14> × 595481213425591_<15> × [9218128483..._<136052>] (0.02%)

Φ₂₀₆₈₈₄(10) = 9900990099..._<103440> = [9900990099..._<103440>] (0.00%)

Φ₂₀₆₈₈₅(10) = 9000090900..._<135168> = [9000090900..._<135168>] (0.00%)

Φ₂₀₆₈₈₆(10) = 9999999999..._<64960> = 206887 × 28964041 × [1668812885..._<64948>] (0.02%)

Φ₂₀₆₈₈₇(10) = 1111111111..._<206887> = 1055032749164609_<16> × [1053153195..._<206872>] (0.01%)

Φ₂₀₆₈₈₈(10) = 1000099999..._<94001> = [1000099999..._<94001>] (0.00%)

Φ₂₀₆₈₈₉(10) = 9009009009..._<137924> = [9009009009..._<137924>] (0.00%)

Φ₂₀₆₈₉₀(10) = 9091000000..._<77824> = 2689571 × [3380092959..._<77818>] (0.01%)

Φ₂₀₆₈₉₁(10) = 9000000000..._<195984> = [9000000000..._<195984>] (0.00%)

Φ₂₀₆₈₉₂(10) = 9999990000..._<59040> = 1034461 × 460172106473689_<15> × [2100705407..._<59020>] (0.04%)

Φ₂₀₆₈₉₃(10) = 9000000000..._<205920> = 8914191799_<10> × [1009626021..._<205911>] (0.00%)

Φ₂₀₆₈₉₄(10) = 9090909090..._<96600> = [9090909090..._<96600>] (0.00%)

Φ₂₀₆₈₉₅(10) = 9009099100..._<101760> = 15793950511_<11> × [5704145453..._<101750>] (0.01%)

Φ₂₀₆₈₉₆(10) = 1000000009..._<101377> = 206897 × [4833322909..._<101371>] (0.01%)

Φ₂₀₆₈₉₇(10) = 1111111111..._<206897> = [1111111111..._<206897>] (0.00%)

Φ₂₀₆₈₉₈(10) = 1098901098..._<68965> = 5957917980997_<13> × [1844438111..._<68952>] (0.02%)

Φ₂₀₆₈₉₉(10) = 1111110999..._<161161> = 2068991 × [5370303689..._<161154>] (0.00%)

Φ_206900L(10) = 9900498007..._<41360> = 1655201 × 30226848601_<11> × [1978852527..._<41344>] (0.04%)

Φ_206900M(10) = 1010050200..._<41361> = 20483101 × [4931139092..._<41353>] (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