Factorization of cyclotomic number Phi

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Φ₂₇₅₁₀₁(10) = 9000000000..._<260604> = (9000000000..._<260604>) (0.00%)

Φ₂₇₅₁₀₂(10) = 1099999999..._<135433> = 5502041 × 47592647 × 99245247317_<11> × [4232717507..._<135407>] (0.02%)

Φ₂₇₅₁₀₃(10) = 1000000001..._<175033> = 3851443 × 50068747 × 34139181889_<11> × [1518996219..._<175008>] (0.01%)

Φ₂₇₅₁₀₄(10) = 9999999999..._<137536> = 18354231862721_<14> × [5448334789..._<137523>] (0.01%)

Φ₂₇₅₁₀₅(10) = 9000090000..._<220080> = 2631575199761_<13> × (3420039070..._<220068>) (0.01%)

Φ₂₇₅₁₀₆(10) = 9100000000..._<84624> = 7702969 × [1181362666..._<84618>] (0.01%)

Φ₂₇₅₁₀₇(10) = 9000000900..._<235800> = (9000000900..._<235800>) (0.00%)

Φ₂₇₅₁₀₈(10) = 9900990099..._<137552> = 6013667203969_<13> × [1646414702..._<137540>] (0.01%)

Φ₂₇₅₁₀₉(10) = 9009009009..._<183404> = 12104797 × 5825001704089_<13> × [1277683992..._<183385>] (0.01%)

Φ₂₇₅₁₁₀(10) = 1099989000..._<96001> = 1100441 × 3301321 × 3224014091_<10> × [9391541752..._<95978>] (0.02%)

Φ₂₇₅₁₁₁(10) = 9000000000..._<258912> = (9000000000..._<258912>) (0.00%)

Φ₂₇₅₁₁₂(10) = 1000000000..._<91681> = 135079993 × 1737057169_<10> × [4261817600..._<91663>] (0.02%)

Φ₂₇₅₁₁₃(10) = 9000000000..._<272340> = (9000000000..._<272340>) (0.00%)

Φ₂₇₅₁₁₄(10) = 9090910000..._<114912> = [9090910000..._<114912>] (0.00%)

Φ₂₇₅₁₁₅(10) = 1109988900..._<146721> = [1109988900..._<146721>] (0.00%)

Φ₂₇₅₁₁₆(10) = 1009999999..._<136081> = 1218213649_<10> × [8290828138..._<136071>] (0.01%)

Φ₂₇₅₁₁₇(10) = 9000000000..._<270396> = 138980928071123_<15> × (6475708663..._<270382>) (0.01%)

Φ₂₇₅₁₁₈(10) = 1098901098..._<91705> = [1098901098..._<91705>] (0.00%)

Φ₂₇₅₁₁₉(10) = 9000000000..._<253944> = 52822849 × 344999227 × (4938585378..._<253928>) (0.01%)

Φ₂₇₅₁₂₀(10) = 9999999900..._<103680> = 2432555465761_<13> × [4110903139..._<103668>] (0.01%)

Φ₂₇₅₁₂₁(10) = 9990000009..._<142560> = [9990000009..._<142560>] (0.00%)

Φ₂₇₅₁₂₂(10) = 1099999999..._<136501> = 528930023539_<12> × [2079670185..._<136489>] (0.01%)

Φ₂₇₅₁₂₃(10) = 1111111111..._<259169> = 7153199 × 50219301683_<11> × (3093046962..._<259151>) (0.01%)

Φ₂₇₅₁₂₄(10) = 9901000000..._<90400> = 549652356541_<12> × [1801320395..._<90389>] (0.01%)

Φ₂₇₅₁₂₅(10) = 1000000000..._<210001> = 63829001 × 798963001 × (1960899268..._<209984>) (0.01%)

Φ₂₇₅₁₂₆(10) = 1099999999..._<131561> = [1099999999..._<131561>] (0.00%)

Φ₂₇₅₁₂₇(10) = 1109999999..._<182209> = 6603049 × 64617561439723_<14> × [2601524344..._<182188>] (0.01%)

Φ₂₇₅₁₂₈(10) = 1000000000..._<110977> = [1000000000..._<110977>] (0.00%)

Φ₂₇₅₁₂₉(10) = 1111111111..._<275129> = (1111111111..._<275129>) (0.00%)

Φ₂₇₅₁₃₀(10) = 9999999990..._<73296> = 275131 × 4402081 × 534027331 × [1546104908..._<73276>] (0.03%)

Φ₂₇₅₁₃₁(10) = 1111111111..._<275131> = 1566250580971879427_<19> × (7094082674..._<275112>) (0.01%)

Φ₂₇₅₁₃₂(10) = 9999999999..._<112320> = 2476189 × [4038463946..._<112314>] (0.01%)

Φ₂₇₅₁₃₃(10) = 9009009009..._<183420> = [9009009009..._<183420>] (0.00%)

Φ₂₇₅₁₃₄(10) = 9090909090..._<137566> = 450893553425849_<15> × [2016198506..._<137552>] (0.01%)

Φ₂₇₅₁₃₅(10) = 1000000100..._<188497> = 19809721 × [5048027178..._<188489>] (0.00%)

Φ₂₇₅₁₃₆(10) = 1000000000..._<91649> = 2751361 × 5777857 × 817547639617_<12> × [7694361116..._<91623>] (0.03%)

Φ₂₇₅₁₃₇(10) = 9000000000..._<271296> = (9000000000..._<271296>) (0.00%)

Φ₂₇₅₁₃₈(10) = 1099999999..._<134597> = 823763173 × 1546743294601_<13> × [8633205338..._<134575>] (0.02%)

Φ₂₇₅₁₃₉(10) = 1001000999..._<173665> = 1100557 × 16045556203_<11> × 435360693871_<12> × [1302020967..._<173637>] (0.02%)

Φ_275140L(10) = 2824060999..._<55025> = 1302074737121_<13> × [2168893166..._<55013>] (0.02%)

Φ_275140M(10) = 3576409999..._<55024> = 24762601 × 105707687441_<12> × 286369003774961_<15> × 1077821678314164761_<19> × [4426612903..._<54973>] (0.09%)

Φ₂₇₅₁₄₁(10) = 9000000000..._<274092> = 550283 × (1635522085..._<274087>) (0.00%)

Φ₂₇₅₁₄₂(10) = 9100000909..._<78600> = 397305049 × 8673098761489_<13> × 15012766645969_<14> × 300674081984557_<15> × [5850410394..._<78551>] (0.06%)

Φ₂₇₅₁₄₃(10) = 9000000000..._<250120> = 554688289 × (1622532903..._<250112>) (0.00%)

Φ₂₇₅₁₄₄(10) = 1000099999..._<136081> = 550289 × 5502881 × [3302649413..._<136068>] (0.01%)

Φ₂₇₅₁₄₅(10) = 1109988899..._<125953> = [1109988899..._<125953>] (0.00%)

Φ₂₇₅₁₄₆(10) = 9090909090..._<137572> = 1650877 × [5506714970..._<137566>] (0.00%)

Φ₂₇₅₁₄₇(10) = 1111111111..._<275147> = 38168963045173_<14> × (2911033002..._<275133>) (0.00%)

Φ₂₇₅₁₄₈(10) = 1000000999..._<91705> = 1650889 × [6057348495..._<91698>] (0.01%)

Φ₂₇₅₁₄₉(10) = 1111110999..._<225457> = 65116212043_<11> × 79379936203_<11> × (2149599601..._<225435>) (0.01%)

Φ₂₇₅₁₅₀(10) = 1000009999..._<110041> = 187102001 × [5344731722..._<110032>] (0.01%)

Φ₂₇₅₁₅₁(10) = 1109999999..._<178881> = [1109999999..._<178881>] (0.00%)

Φ₂₇₅₁₅₂(10) = 1000000009..._<132609> = 275153 × 19087294241_<11> × [1904063305..._<132593>] (0.01%)

Φ₂₇₅₁₅₃(10) = 1111111111..._<275153> = 52483825600775707_<17> × (2117054346..._<275136>) (0.01%)

Φ₂₇₅₁₅₄(10) = 9999999999..._<83160> = 48977413 × 5617055665651_<13> × [3634924798..._<83140>] (0.02%)

Φ₂₇₅₁₅₅(10) = 1111099999..._<217729> = 4402481 × 400625681 × (6299656539..._<217713>) (0.01%)

Φ₂₇₅₁₅₆(10) = 9900990099..._<113760> = 207742781 × [4765985153..._<113752>] (0.01%)

Φ₂₇₅₁₅₇(10) = 1000000000..._<176905> = 1910690209_<10> × 188102810179639_<15> × [2782367155..._<176881>] (0.01%)

Φ₂₇₅₁₅₈(10) = 9090909090..._<120096> = 17510229647_<11> × [5191770338..._<120086>] (0.01%)

Φ₂₇₅₁₅₉(10) = 1111111111..._<275159> = (1111111111..._<275159>) (0.00%)

Φ₂₇₅₁₆₀(10) = 9999000100..._<73344> = 6053521 × 193921761601_<12> × [8517692780..._<73326>] (0.02%)

Φ₂₇₅₁₆₁(10) = 1111111111..._<275161> = 18160627 × 2880935671_<10> × (2123699628..._<275144>) (0.01%)

Φ₂₇₅₁₆₂(10) = 1099999999..._<129473> = [1099999999..._<129473>] (0.00%)

Φ₂₇₅₁₆₃(10) = 1109999889..._<157225> = [1109999889..._<157225>] (0.00%)

Φ₂₇₅₁₆₄(10) = 9900990099..._<137580> = 11006561 × [8995534662..._<137573>] (0.01%)

Φ₂₇₅₁₆₅(10) = 1111099999..._<200081> = 14858911 × 92178522749281_<14> × (8112158401..._<200059>) (0.01%)

Φ₂₇₅₁₆₆(10) = 1000999998..._<91717> = 275167 × 6993343891_<10> × [5201790333..._<91701>] (0.02%)

Φ₂₇₅₁₆₇(10) = 1111111111..._<275167> = (1111111111..._<275167>) (0.00%)

Φ₂₇₅₁₆₈(10) = 9999999999..._<137568> = 85603664129_<11> × 7804036621153_<13> × 148300967820833_<15> × [1009355983..._<137531>] (0.03%)

Φ₂₇₅₁₆₉(10) = 1000000000..._<175825> = 627842650879_<12> × [1592755762..._<175813>] (0.01%)

Φ₂₇₅₁₇₀(10) = 9091000909..._<94320> = 37423121 × 408385575571_<12> × 120530898978001_<15> × [4935178980..._<94287>] (0.04%)

Φ₂₇₅₁₇₁(10) = 1111111111..._<249121> = (1111111111..._<249121>) (0.00%)

Φ₂₇₅₁₇₂(10) = 9901000000..._<87648> = [9901000000..._<87648>] (0.00%)

Φ₂₇₅₁₇₃(10) = 9000000000..._<273760> = (9000000000..._<273760>) (0.00%)

Φ₂₇₅₁₇₄(10) = 9090909090..._<137586> = 25066971952739_<14> × [3626648287..._<137573>] (0.01%)

Φ₂₇₅₁₇₅(10) = 1000000000..._<146641> = 550351 × 66042001 × [2751313103..._<146627>] (0.01%)

Φ₂₇₅₁₇₆(10) = 9999000099..._<120640> = 24215489 × [4129175380..._<120633>] (0.01%)

Φ₂₇₅₁₇₇(10) = 1111110999..._<223345> = 10175495107_<11> × (1091947849..._<223335>) (0.00%)

Φ₂₇₅₁₇₈(10) = 1098901098..._<91725> = 2623695648121_<13> × [4188371085..._<91712>] (0.01%)

Φ₂₇₅₁₇₉(10) = 9000000000..._<258976> = 77050121 × (1168070845..._<258969>) (0.00%)

Φ_275180L(10) = 2824060999..._<55033> = 42652901 × [6621029129..._<55025>] (0.01%)

Φ_275180M(10) = 3576409999..._<55032> = 1554782096826349741501_<22> × [2300264459..._<55011>] (0.04%)

Φ₂₇₅₁₈₁(10) = 1109999999..._<177073> = [1109999999..._<177073>] (0.00%)

Φ₂₇₅₁₈₂(10) = 1099999999..._<136753> = 275183 × 5497585997_<10> × [7271082169..._<136737>] (0.01%)

Φ₂₇₅₁₈₃(10) = 1111111111..._<275183> = 19133473991_<11> × (5807158238..._<275172>) (0.00%)

Φ₂₇₅₁₈₄(10) = 9999999999..._<72576> = [9999999999..._<72576>] (0.00%)

Φ₂₇₅₁₈₅(10) = 1111099999..._<215281> = 79253281 × (1401960885..._<215273>) (0.00%)

Φ₂₇₅₁₈₆(10) = 9090909090..._<137592> = 458735063 × 9224785093_<10> × [2148271273..._<137574>] (0.01%)

Φ₂₇₅₁₈₇(10) = 9009009009..._<160800> = [9009009009..._<160800>] (0.00%)

Φ₂₇₅₁₈₈(10) = 1009999999..._<135873> = 18802419886489_<14> × [5371649001..._<135859>] (0.01%)

Φ₂₇₅₁₈₉(10) = 9000000000..._<272256> = (9000000000..._<272256>) (0.00%)

Φ₂₇₅₁₉₀(10) = 9100090999..._<73376> = [9100090999..._<73376>] (0.00%)

Φ₂₇₅₁₉₁(10) = 9000000900..._<235872> = 47332853 × 82006919 × (2318618915..._<235857>) (0.01%)

Φ₂₇₅₁₉₂(10) = 1000099999..._<134081> = [1000099999..._<134081>] (0.00%)

Φ₂₇₅₁₉₃(10) = 9990000009..._<183456> = [9990000009..._<183456>] (0.00%)

Φ₂₇₅₁₉₄(10) = 9090909090..._<137596> = 4407468879278207_<16> × [2062614471..._<137581>] (0.01%)

Φ₂₇₅₁₉₅(10) = 1111099999..._<210497> = (1111099999..._<210497>) (0.00%)

Φ₂₇₅₁₉₆(10) = 1009998990..._<80641> = 70105574192821_<14> × [1440682858..._<80627>] (0.02%)

Φ₂₇₅₁₉₇(10) = 9000000000..._<254016> = 55530351449_<11> × 2336994939761_<13> × (6935125351..._<253993>) (0.01%)

Φ₂₇₅₁₉₈(10) = 9090910000..._<107160> = [9090910000..._<107160>] (0.00%)

Φ₂₇₅₁₉₉(10) = 9009009009..._<183464> = [9009009009..._<183464>] (0.00%)

Φ₂₇₅₂₀₀(10) = 1000000000..._<107521> = [1000000000..._<107521>] (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