Factorization of cyclotomic number Phi

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Φ₅₂₂₀₁(10) = 1111111111..._<52201> = 45694662111747385145809_<23> × [2431599359..._<52178>] (0.04%)

Φ₅₂₂₀₂(10) = 1099999999..._<25453> = 2349091 × [4682662357..._<25446>] (0.03%)

Φ₅₂₂₀₃(10) = 9009009009..._<34800> = 835249 × 4698271 × 7621639 × 19001893 × [1585176956..._<34774>] (0.08%)

Φ₅₂₂₀₄(10) = 1009999999..._<25201> = [1009999999..._<25201>] (0.00%)

Φ₅₂₂₀₅(10) = 1111099999..._<40769> = 3236711 × 37820121071_<11> × 90178917001_<11> × 287626893031_<12> × [3499385626..._<40729>] (0.10%)

Φ₅₂₂₀₆(10) = 1098900989..._<13441> = 156619 × 34455961 × [2036337459..._<13428>] (0.09%)

Φ₅₂₂₀₇(10) = 1111111111..._<47233> = 10336987 × 16110975787_<11> × 29167140409921_<14> × [2287430055..._<47202>] (0.06%)

Φ₅₂₂₀₈(10) = 1000000009..._<24001> = 374361992550112321_<18> × [2671211367..._<23983>] (0.07%)

Φ₅₂₂₀₉(10) = 9990000009..._<34800> = 3178888949584782648163_<22> × [3142607423..._<34779>] (0.06%)

Φ₅₂₂₁₀(10) = 9091000000..._<19888> = 1832153321_<10> × 1802935559801_<13> × 6077148612331_<13> × [4528660688..._<19854>] (0.17%)

Φ₅₂₂₁₁(10) = 9000000000..._<51624> = 136801800293_<12> × 3210554205759776349606087727721_<31> × [2049135560..._<51583>] (0.08%)

Φ₅₂₂₁₂(10) = 9901000000..._<16416> = 229 × 2819449 × 5430049 × 25710702949_<11> × 535454488942760728221469_<24> × [2051346722..._<16367>] (0.30%)

Φ₅₂₂₁₃(10) = 9000000900..._<44748> = [9000000900..._<44748>] (0.00%)

Φ₅₂₂₁₄(10) = 9090909090..._<26106> = [9090909090..._<26106>] (0.00%)

Φ₅₂₂₁₅(10) = 1000000000..._<27377> = 417721 × 133670401 × [1790929293..._<27363>] (0.05%)

Φ₅₂₂₁₆(10) = 1000099999..._<25441> = [1000099999..._<25441>] (0.00%)

Φ₅₂₂₁₇(10) = 1111111111..._<46001> = [1111111111..._<46001>] (0.00%)

Φ₅₂₂₁₈(10) = 1000000000..._<17389> = 365527 × 730752999733_<12> × 5754818315863_<13> × [6505464546..._<17358>] (0.17%)

Φ₅₂₂₁₉(10) = 9000000000..._<51480> = 522191 × [1723507299..._<51475>] (0.01%)

Φ_52220L(10) = 2798897498..._<8929> = 311642589161_<12> × [8981113608..._<8917>] (0.13%)

Φ_52220M(10) = 3537460769..._<8928> = [3537460769..._<8928>] (0.00%)

Φ₅₂₂₂₁(10) = 1000000000..._<31825> = [1000000000..._<31825>] (0.00%)

Φ₅₂₂₂₂(10) = 9090909090..._<26110> = 52223 × 271188847 × [6419093084..._<26097>] (0.05%)

Φ₅₂₂₂₃(10) = 1111111111..._<52223> = 7245089570324712801427_<22> × 5706344809886297017064443_<25> × [2687544852..._<52176>] (0.09%)

Φ₅₂₂₂₄(10) = 1000000000..._<16385> = 271669249 × 1234575361_<10> × [2981548734..._<16367>] (0.11%)

Φ₅₂₂₂₅(10) = 9999900000..._<41760> = 1253401 × [7978212878..._<41754>] (0.01%)

Φ₅₂₂₂₆(10) = 9090909090..._<26112> = 2663527 × [3413109418..._<26106>] (0.02%)

Φ₅₂₂₂₇(10) = 1001000999..._<29809> = [1001000999..._<29809>] (0.00%)

Φ₅₂₂₂₈(10) = 1009999999..._<23721> = 129171908669_<12> × [7819037516..._<23709>] (0.05%)

Φ₅₂₂₂₉(10) = 9000000000..._<50400> = [9000000000..._<50400>] (0.00%)

Φ₅₂₂₃₀(10) = 9100090999..._<13920> = 49252891 × 984457102771_<12> × [1876796613..._<13901>] (0.14%)

Φ₅₂₂₃₁(10) = 9000000000..._<49464> = 313387 × 4700791 × 98516022961_<11> × 27683059446227201_<17> × [2240111487..._<49425>] (0.08%)

Φ₅₂₂₃₂(10) = 9999000099..._<26112> = 917768473 × [1089490475..._<26104>] (0.03%)

Φ₅₂₂₃₃(10) = 1109999999..._<33265> = 208933 × [5312707901..._<33259>] (0.02%)

Φ₅₂₂₃₄(10) = 9999999000..._<20160> = 76522811 × [1306799746..._<20153>] (0.04%)

Φ₅₂₂₃₅(10) = 1111099999..._<40321> = 104471 × [1063548736..._<40316>] (0.01%)

Φ₅₂₂₃₆(10) = 1000000999..._<17401> = [1000000999..._<17401>] (0.00%)

Φ₅₂₂₃₇(10) = 1111111111..._<52237> = 271094993892973_<15> × [4098604312..._<52222>] (0.03%)

Φ₅₂₂₃₈(10) = 9090909090..._<26118> = 533624358268498331_<18> × 54521811789844242290899_<23> × [3124650086..._<26078>] (0.15%)

Φ₅₂₂₃₉(10) = 1109999999..._<31641> = 104479 × 8567197 × [1240095747..._<31629>] (0.04%)

Φ₅₂₂₄₀(10) = 1000000009..._<20865> = 208961 × 4366219201_<10> × [1096047135..._<20850>] (0.07%)

Φ₅₂₂₄₁(10) = 1111110999..._<42049> = 6059957 × 202172671 × 86962360131403_<14> × 251538021630827_<15> × 275897409983138791_<18> × [1502736633..._<41988>] (0.14%)

Φ₅₂₂₄₂(10) = 1098901098..._<17413> = 2350891 × 5177142999849607_<16> × [9028923084..._<17390>] (0.13%)

Φ₅₂₂₄₃(10) = 9000000000..._<51568> = 524605708529963_<15> × [1715574164..._<51554>] (0.03%)

Φ₅₂₂₄₄(10) = 1009999999..._<25345> = 1435769609_<10> × 61064354521_<11> × [1151990364..._<25325>] (0.08%)

Φ₅₂₂₄₅(10) = 1000000000..._<27217> = 8359201 × [1196286582..._<27210>] (0.03%)

Φ₅₂₂₄₆(10) = 1099999999..._<25801> = 21316369 × [5160353529..._<25793>] (0.03%)

Φ₅₂₂₄₇(10) = 9000000000..._<48216> = [9000000000..._<48216>] (0.00%)

Φ₅₂₂₄₈(10) = 9999000100..._<14880> = [9999000100..._<14880>] (0.00%)

Φ₅₂₂₄₉(10) = 1111111111..._<52249> = 70140463829587_<14> × [1584122844..._<52235>] (0.03%)

Φ₅₂₂₅₀(10) = 9999999999..._<18000> = [9999999999..._<18000>] (0.00%)

Φ₅₂₂₅₁(10) = 9009009009..._<34832> = 313507 × 1097793511_<10> × [2617635185..._<34818>] (0.04%)

Φ₅₂₂₅₂(10) = 9900990099..._<26124> = 207300448740689_<15> × [4776154687..._<26110>] (0.05%)

Φ₅₂₂₅₃(10) = 1111111111..._<52253> = 12214591040054317_<17> × [9096588723..._<52236>] (0.03%)

Φ₅₂₂₅₄(10) = 1000999998..._<17413> = 365779 × 4818759373_<10> × [5679107226..._<17397>] (0.09%)

Φ₅₂₂₅₅(10) = 1111099888..._<35809> = 4476790361_<10> × [2481911814..._<35799>] (0.03%)

Φ₅₂₂₅₆(10) = 1000000000..._<24641> = 1097377 × 14527169 × 887150113 × [7070759169..._<24618>] (0.09%)

Φ₅₂₂₅₇(10) = 9009009009..._<34836> = 14109391 × 2014848065641_<13> × 1460781008902363_<16> × [2169408490..._<34802>] (0.10%)

Φ₅₂₂₅₈(10) = 9090909090..._<23296> = 52259 × 1097419 × 71707253833063_<14> × [2210602486..._<23272>] (0.11%)

Φ₅₂₂₅₉(10) = 1111111111..._<52259> = 18461870103233172249397_<23> × [6018410404..._<52236>] (0.04%)

Φ_52260L(10) = 2555227054..._<6337> = 157401310308061_<15> × [1623383598..._<6323>] (0.22%)

Φ_52260M(10) = 3952678052..._<6336> = 28665759721_<11> × 867930265021_<12> × 767593882690125451580881_<24> × [2069720248..._<6290>] (0.73%)

Φ₅₂₂₆₁(10) = 9000000000..._<47500> = 178324879679_<12> × [5046968216..._<47489>] (0.02%)

Φ₅₂₂₆₂(10) = 1099999890..._<22393> = [1099999890..._<22393>] (0.00%)

Φ₅₂₂₆₃(10) = 9990000009..._<34836> = 731683 × 258619937154841_<15> × [5279350816..._<34816>] (0.06%)

Φ₅₂₂₆₄(10) = 1000099999..._<25393> = 123795075151273_<15> × [8078673556..._<25378>] (0.06%)

Φ₅₂₂₆₅(10) = 9000090000..._<41808> = 44969473797596056075001_<23> × [2001377654..._<41786>] (0.05%)

Φ₅₂₂₆₆(10) = 9100000000..._<16800> = [9100000000..._<16800>] (0.00%)

Φ₅₂₂₆₇(10) = 1111111111..._<52267> = 313603 × 618632213 × [5727231676..._<52252>] (0.03%)

Φ₅₂₂₆₈(10) = 1009999999..._<25633> = 86314510654039956329_<20> × 1593031797122912069592821_<25> × [7345360523..._<25588>] (0.17%)

Φ₅₂₂₆₉(10) = 9009009909..._<28080> = 320128746900733_<15> × [2814183355..._<28066>] (0.05%)

Φ₅₂₂₇₀(10) = 1099989000..._<20905> = [1099989000..._<20905>] (0.00%)

Φ₅₂₂₇₁(10) = 9000000000..._<51792> = 940879 × 4627784131409_<13> × [2066976987..._<51774>] (0.04%)

Φ₅₂₂₇₂(10) = 1000000000..._<15841> = 156817 × [6376859651..._<15835>] (0.03%)

Φ₅₂₂₇₃(10) = 9000000000..._<48240> = 8363681 × [1076081213..._<48234>] (0.01%)

Φ₅₂₂₇₄(10) = 1099999999..._<25637> = 1202303 × 131678207 × 124845852903379_<15> × [5565327542..._<25608>] (0.11%)

Φ₅₂₂₇₅(10) = 9999900000..._<25600> = 1028458351_<10> × 220691243648855052001_<21> × [4405790539..._<25571>] (0.11%)

Φ₅₂₂₇₆(10) = 1009999999..._<22393> = 384385429 × 3355120181865484372229_<22> × [7831525673..._<22362>] (0.13%)

Φ₅₂₂₇₇(10) = 9000000000..._<51360> = 5645917 × 750724067609_<12> × [2123379796..._<51342>] (0.04%)

Φ₅₂₂₇₈(10) = 1098901098..._<17425> = 1777453 × [6182448137..._<17418>] (0.04%)

Φ₅₂₂₇₉(10) = 9000000000..._<49984> = [9000000000..._<49984>] (0.00%)

Φ₅₂₂₈₀(10) = 1000099999..._<20897> = 572466001 × 2834374657497920881_<19> × [6163628748..._<20869>] (0.13%)

Φ₅₂₂₈₁(10) = 1001000999..._<33697> = 1454039173_<10> × 1148601660093962533_<19> × [5993616686..._<33669>] (0.08%)

Φ₅₂₂₈₂(10) = 9090909090..._<26140> = [9090909090..._<26140>] (0.00%)

Φ₅₂₂₈₃(10) = 1000000100..._<40321> = 1679329961_<10> × [5954756499..._<40311>] (0.02%)

Φ₅₂₂₈₄(10) = 1009998990..._<17425> = [1009998990..._<17425>] (0.00%)

Φ₅₂₂₈₅(10) = 9000090000..._<41824> = 1647359469280936031351_<22> × [5463343106..._<41803>] (0.05%)

Φ₅₂₂₈₆(10) = 1099999999..._<24121> = 418289 × 15259303099_<11> × 685476518611_<12> × [2514137114..._<24093>] (0.11%)

Φ₅₂₂₈₇(10) = 1109999999..._<33601> = 522871 × 165196070671_<12> × 356668764043_<12> × [3602994786..._<33572>] (0.08%)

Φ₅₂₂₈₈(10) = 1000000000..._<24193> = 470593 × 8386776681127681_<16> × [2533724892..._<24171>] (0.09%)

Φ₅₂₂₈₉(10) = 1111111111..._<52289> = 960458470031_<12> × 73619364646703527601_<20> × 180619136764493290121_<21> × [8700076519..._<52236>] (0.10%)

Φ₅₂₂₉₀(10) = 1000999998..._<11809> = 52291 × 97886881 × 102353640094441_<15> × [1910642116..._<11782>] (0.23%)

Φ₅₂₂₉₁(10) = 1111111111..._<52291> = 1652742382535703066630689_<25> × [6722833049..._<52266>] (0.05%)

Φ₅₂₂₉₂(10) = 1009999999..._<24577> = [1009999999..._<24577>] (0.00%)

Φ₅₂₂₉₃(10) = 9009009009..._<34860> = [9009009009..._<34860>] (0.00%)

Φ₅₂₂₉₄(10) = 1099999999..._<23761> = 679823 × 235950529 × [6857658846..._<23746>] (0.06%)

Φ₅₂₂₉₅(10) = 9000090000..._<41832> = 524003083764151_<15> × 44828036090768146361_<20> × [3831451184..._<41798>] (0.08%)

Φ₅₂₂₉₆(10) = 1000099999..._<17425> = [1000099999..._<17425>] (0.00%)

Φ₅₂₂₉₇(10) = 1111110999..._<43201> = 572074258945729_<15> × 146758464210858529_<18> × 48370263935771989751_<20> × [2736046190..._<43149>] (0.12%)

Φ₅₂₂₉₈(10) = 1099999999..._<25741> = 104597 × [1051655401..._<25736>] (0.02%)

Φ₅₂₂₉₉(10) = 1000000001..._<31969> = 6303390006187_<13> × [1586447927..._<31956>] (0.04%)

Φ_52300L(10) = 1010050200..._<10441> = 52301 × 156901 × 1255201 × 1464401 × [6696285499..._<10418>] (0.21%)

Φ_52300M(10) = 9900498007..._<10440> = 2009317760706028933019201_<25> × [4927293333..._<10416>] (0.23%)

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