Factorization of cyclotomic number Phi

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Φ₂₇₇₆₀₁(10) = 1111111111..._<277601> = 8328031 × (1334182246..._<277594>) (0.00%)

Φ₂₇₇₆₀₂(10) = 9100000000..._<85392> = 6532252663_<10> × 38893705813_<11> × [3581781531..._<85372>] (0.02%)

Φ₂₇₇₆₀₃(10) = 1111111111..._<277603> = 353769572486489_<15> × 366200289488357_<15> × (8576662697..._<277573>) (0.01%)

Φ₂₇₇₆₀₄(10) = 9900990099..._<138800> = 4719269 × 419737249 × 125450322482689_<15> × [3984323559..._<138771>] (0.02%)

Φ₂₇₇₆₀₅(10) = 9990000009..._<142560> = 137692081 × [7255319214..._<142552>] (0.01%)

Φ₂₇₇₆₀₆(10) = 9090910000..._<117000> = 201541957 × 29554489973_<11> × [1526224489..._<116982>] (0.02%)

Φ₂₇₇₆₀₇(10) = 9000000000..._<252360> = 36710749681_<11> × (2451597986..._<252350>) (0.00%)

Φ₂₇₇₆₀₈(10) = 9999000100..._<90048> = [9999000100..._<90048>] (0.00%)

Φ₂₇₇₆₀₉(10) = 9999999999..._<262656> = 4295721667_<10> × (2327897563..._<262647>) (0.00%)

Φ₂₇₇₆₁₀(10) = 1099989000..._<98561> = 55750815045521_<14> × [1973045594..._<98547>] (0.01%)

Φ₂₇₇₆₁₁(10) = 9009009009..._<172800> = 1013835373_<10> × [8886066958..._<172791>] (0.01%)

Φ₂₇₇₆₁₂(10) = 9900990099..._<138804> = 1110449 × 101050769 × [8823489760..._<138790>] (0.01%)

Φ₂₇₇₆₁₃(10) = 9000000900..._<237948> = 1665679 × (5403202477..._<237942>) (0.00%)

Φ₂₇₇₆₁₄(10) = 9999999990..._<89856> = [9999999990..._<89856>] (0.00%)

Φ₂₇₇₆₁₅(10) = 1111099999..._<204961> = (1111099999..._<204961>) (0.00%)

Φ₂₇₇₆₁₆(10) = 9999999900..._<138800> = 24152593 × 314488124273_<12> × 8478331564481_<13> × [1552821679..._<138769>] (0.02%)

Φ₂₇₇₆₁₇(10) = 1109999999..._<178641> = 43308253 × [2563021879..._<178633>] (0.00%)

Φ₂₇₇₆₁₈(10) = 1099999999..._<126181> = [1099999999..._<126181>] (0.00%)

Φ₂₇₇₆₁₉(10) = 9000000000..._<273744> = (9000000000..._<273744>) (0.00%)

Φ_277620L(10) = 2557786117..._<31681> = [2557786117..._<31681>] (0.00%)

Φ_277620M(10) = 3948723401..._<31680> = 1782875641_<10> × [2214805851..._<31671>] (0.03%)

Φ₂₇₇₆₂₁(10) = 9000000000..._<276172> = 1254504890929_<13> × (7174145007..._<276160>) (0.00%)

Φ₂₇₇₆₂₂(10) = 1099999999..._<137593> = 38311837 × 5808129863_<10> × [4943373108..._<137575>] (0.01%)

Φ₂₇₇₆₂₃(10) = 1001000999..._<182737> = 3886723 × [2575436942..._<182730>] (0.00%)

Φ₂₇₇₆₂₄(10) = 9999000099..._<138808> = [9999000099..._<138808>] (0.00%)

Φ₂₇₇₆₂₅(10) = 9999999999..._<222000> = 203776751 × 349859108821751_<15> × (1402659252..._<221978>) (0.01%)

Φ₂₇₇₆₂₆(10) = 1098901098..._<92541> = 267951252505369_<15> × [4101123202..._<92526>] (0.02%)

Φ₂₇₇₆₂₇(10) = 1111110999..._<223873> = 212861062933_<12> × (5219888431..._<223861>) (0.01%)

Φ₂₇₇₆₂₈(10) = 9900990099..._<120960> = [9900990099..._<120960>] (0.00%)

Φ₂₇₇₆₂₉(10) = 9009009009..._<163760> = 1110517 × 42199609 × 9459930547_<10> × [2032148472..._<163737>] (0.01%)

Φ₂₇₇₆₃₀(10) = 1099989000..._<111049> = 18601211 × 168504474571_<12> × 9881219004491_<13> × [3551609101..._<111017>] (0.03%)

Φ₂₇₇₆₃₁(10) = 9000000000..._<276432> = (9000000000..._<276432>) (0.00%)

Φ₂₇₇₆₃₂(10) = 1000000000..._<92161> = [1000000000..._<92161>] (0.00%)

Φ₂₇₇₆₃₃(10) = 9000000000..._<265540> = 1110533 × 269859277 × 1372710836689_<13> × (2187734554..._<265514>) (0.01%)

Φ₂₇₇₆₃₄(10) = 1000000099..._<118945> = 1388171 × 236544169 × 31397674869611_<14> × [9699455196..._<118916>] (0.02%)

Φ₂₇₇₆₃₅(10) = 9009099100..._<145632> = 2776351 × [3244942408..._<145626>] (0.00%)

Φ₂₇₇₆₃₆(10) = 1009999999..._<134281> = 774049169 × 2352965101_<10> × 6042192269_<10> × 6599407721_<10> × 970511342501_<12> × [1432970409..._<134231>] (0.04%)

Φ₂₇₇₆₃₇(10) = 1111111111..._<277637> = 3105647483_<10> × (3577711627..._<277627>) (0.00%)

Φ₂₇₇₆₃₈(10) = 1098901098..._<92545> = [1098901098..._<92545>] (0.00%)

Φ₂₇₇₆₃₉(10) = 1111111111..._<277639> = (1111111111..._<277639>) (0.00%)

Φ₂₇₇₆₄₀(10) = 9999000099..._<100800> = 75518081 × 97174001 × [1362559708..._<100785>] (0.02%)

Φ₂₇₇₆₄₁(10) = 9999999990..._<145152> = 118275067 × [8454867322..._<145144>] (0.01%)

Φ₂₇₇₆₄₂(10) = 9090909090..._<138820> = 429997111568819_<15> × [2114179106..._<138806>] (0.01%)

Φ₂₇₇₆₄₃(10) = 1111111111..._<277643> = 109662240378523369_<18> × (1013212120..._<277626>) (0.01%)

Φ₂₇₇₆₄₄(10) = 9901000000..._<87040> = [9901000000..._<87040>] (0.00%)

Φ₂₇₇₆₄₅(10) = 9000090000..._<222112> = 6547275016991_<13> × (1374631427..._<222100>) (0.01%)

Φ₂₇₇₆₄₆(10) = 1099999999..._<134009> = 9717611 × [1131965459..._<134002>] (0.01%)

Φ₂₇₇₆₄₇(10) = 1109999999..._<175321> = 12771763 × [8691047586..._<175313>] (0.00%)

Φ₂₇₇₆₄₈(10) = 9999999900..._<114048> = [9999999900..._<114048>] (0.00%)

Φ₂₇₇₆₄₉(10) = 9000000000..._<274800> = 7824704119_<10> × (1150203236..._<274791>) (0.00%)

Φ₂₇₇₆₅₀(10) = 9999999999..._<73920> = [9999999999..._<73920>] (0.00%)

Φ₂₇₇₆₅₁(10) = 1111111111..._<246121> = 1665907 × 26798874521_<11> × (2488801055..._<246104>) (0.01%)

Φ₂₇₇₆₅₂(10) = 1009999999..._<135361> = 81629689 × [1237294925..._<135353>] (0.01%)

Φ₂₇₇₆₅₃(10) = 9009009009..._<185100> = [9009009009..._<185100>] (0.00%)

Φ₂₇₇₆₅₄(10) = 9090909090..._<125280> = 20448384139_<11> × [4445783602..._<125270>] (0.01%)

Φ₂₇₇₆₅₅(10) = 1111099888..._<190369> = [1111099888..._<190369>] (0.00%)

Φ₂₇₇₆₅₆(10) = 9999000100..._<88352> = 277657 × 2221249 × 60529009 × [2678472161..._<88333>] (0.02%)

Φ₂₇₇₆₅₇(10) = 1111111111..._<277657> = (1111111111..._<277657>) (0.00%)

Φ₂₇₇₆₅₈(10) = 9090909090..._<138828> = 38872121 × [2338670712..._<138821>] (0.01%)

Φ₂₇₇₆₅₉(10) = 9990000009..._<185100> = [9990000009..._<185100>] (0.00%)

Φ_277660L(10) = 2824060999..._<55529> = [2824060999..._<55529>] (0.00%)

Φ_277660M(10) = 3576409999..._<55528> = 113195065767061_<15> × 25667816791157424601_<20> × [1230922963..._<55495>] (0.06%)

Φ₂₇₇₆₆₁(10) = 9000000000..._<261312> = (9000000000..._<261312>) (0.00%)

Φ₂₇₇₆₆₂(10) = 1098900989..._<72001> = 67161995209_<11> × [1636194674..._<71990>] (0.02%)

Φ₂₇₇₆₆₃(10) = 1111111111..._<277663> = 4442609 × (2501032864..._<277656>) (0.00%)

Φ₂₇₇₆₆₄(10) = 9999999999..._<138816> = [9999999999..._<138816>] (0.00%)

Φ₂₇₇₆₆₅(10) = 9009099100..._<145856> = 13516176871_<11> × [6665419656..._<145846>] (0.01%)

Φ₂₇₇₆₆₆(10) = 1099999999..._<131509> = 147470633929_<12> × 844924032367_<12> × [8828145350..._<131485>] (0.02%)

Φ₂₇₇₆₆₇(10) = 1000000000..._<243361> = 224910271 × (4446217576..._<243352>) (0.00%)

Φ₂₇₇₆₆₈(10) = 1000000000..._<92449> = 4442689 × 131789562841_<12> × [1707941809..._<92431>] (0.02%)

Φ₂₇₇₆₆₉(10) = 9000000900..._<237996> = 74415293 × (1209428940..._<237989>) (0.00%)

Φ₂₇₇₆₇₀(10) = 1099989000..._<111065> = [1099989000..._<111065>] (0.00%)

Φ₂₇₇₆₇₁(10) = 9009009009..._<185112> = 145964550205951_<15> × [6172052732..._<185098>] (0.01%)

Φ₂₇₇₆₇₂(10) = 1000099999..._<136321> = [1000099999..._<136321>] (0.00%)

Φ₂₇₇₆₇₃(10) = 9000000000..._<252420> = (9000000000..._<252420>) (0.00%)

Φ₂₇₇₆₇₄(10) = 1098901098..._<92557> = 833023 × 3332089 × 283227481 × 161013434011_<12> × [8681355081..._<92524>] (0.03%)

Φ₂₇₇₆₇₅(10) = 1000010000..._<213921> = (1000010000..._<213921>) (0.00%)

Φ₂₇₇₆₇₆(10) = 9900990099..._<115920> = 31377389 × [3155453788..._<115913>] (0.01%)

Φ₂₇₇₆₇₇(10) = 9990000009..._<185112> = [9990000009..._<185112>] (0.00%)

Φ₂₇₇₆₇₈(10) = 1099999999..._<130657> = [1099999999..._<130657>] (0.00%)

Φ₂₇₇₆₇₉(10) = 9000000000..._<265584> = 2208103409_<10> × (4075896066..._<265575>) (0.00%)

Φ₂₇₇₆₈₀(10) = 1000000009..._<67585> = 8885761 × 17771521 × 3275513281_<10> × 24985646401_<11> × 895235877121_<12> × [8643175764..._<67538>] (0.07%)

Φ₂₇₇₆₈₁(10) = 9000000000..._<273700> = (9000000000..._<273700>) (0.00%)

Φ₂₇₇₆₈₂(10) = 9090909090..._<138840> = 1388411 × 48403027103_<11> × 9566307066289_<13> × [1414074949..._<138811>] (0.02%)

Φ₂₇₇₆₈₃(10) = 1000000100..._<158593> = [1000000100..._<158593>] (0.00%)

Φ₂₇₇₆₈₄(10) = 1009999999..._<126201> = [1009999999..._<126201>] (0.00%)

Φ₂₇₇₆₈₅(10) = 9000090000..._<202176> = 19993321 × 533743336831_<12> × (8433919417..._<202157>) (0.01%)

Φ₂₇₇₆₈₆(10) = 1000999998..._<92557> = 277687 × 873323303059_<12> × [4127655846..._<92539>] (0.02%)

Φ₂₇₇₆₈₇(10) = 1111111111..._<277687> = (1111111111..._<277687>) (0.00%)

Φ₂₇₇₆₈₈(10) = 1000099999..._<137089> = 741149273 × [1349390785..._<137080>] (0.01%)

Φ₂₇₇₆₈₉(10) = 1109999999..._<183601> = 4055514554281_<13> × [2737013972..._<183588>] (0.01%)

Φ₂₇₇₆₉₀(10) = 9091000909..._<95184> = 277691 × 6130562131_<10> × [5340102566..._<95169>] (0.02%)

Φ₂₇₇₆₉₁(10) = 1111111111..._<277691> = (1111111111..._<277691>) (0.00%)

Φ₂₇₇₆₉₂(10) = 9901000000..._<91008> = [9901000000..._<91008>] (0.00%)

Φ₂₇₇₆₉₃(10) = 1111111111..._<249601> = 1713921197_<10> × (6482859964..._<249591>) (0.00%)

Φ₂₇₇₆₉₄(10) = 1099999999..._<135577> = 742831451 × [1480820445..._<135568>] (0.01%)

Φ₂₇₇₆₉₅(10) = 9999999999..._<126720> = 555391 × 93305521 × [1929717875..._<126707>] (0.01%)

Φ₂₇₇₆₉₆(10) = 9999999999..._<138816> = 140791873 × 3665587201_<10> × [1937665728..._<138799>] (0.01%)

Φ₂₇₇₆₉₇(10) = 9000000900..._<238020> = 6664729 × 4020840399493_<13> × (3358483531..._<238001>) (0.01%)

Φ₂₇₇₆₉₈(10) = 9100000000..._<89520> = 27492103 × [3310041432..._<89513>] (0.01%)

Φ₂₇₇₆₉₉(10) = 9000000000..._<275536> = (9000000000..._<275536>) (0.00%)

Φ_277700L(10) = 9900498007..._<55520> = 131352101 × 3069029320001_<13> × [2455946938..._<55500>] (0.04%)

Φ_277700M(10) = 1010050200..._<55521> = 4941321042601_<13> × [2044089408..._<55508>] (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