Factorization of cyclotomic number Phi

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Φ₁₂₀₅₀₁(10) = 9999999990..._<80316> = 964009 × [1037334712..._<80311>] (0.01%)

Φ₁₂₀₅₀₂(10) = 9090909090..._<60250> = 120503 × [7544135076..._<60245>] (0.01%)

Φ₁₂₀₅₀₃(10) = 1111111111..._<120503> = [1111111111..._<120503>] (0.00%)

Φ₁₂₀₅₀₄(10) = 1000099999..._<40161> = [1000099999..._<40161>] (0.00%)

Φ₁₂₀₅₀₅(10) = 9000090900..._<74880> = [9000090900..._<74880>] (0.00%)

Φ₁₂₀₅₀₆(10) = 1099999999..._<59489> = 241013 × [4564069158..._<59483>] (0.01%)

Φ₁₂₀₅₀₇(10) = 9009009009..._<80336> = 723043 × [1245985233..._<80331>] (0.01%)

Φ₁₂₀₅₀₈(10) = 1009999999..._<58881> = 723049 × 16991629 × [8220886021..._<58867>] (0.02%)

Φ₁₂₀₅₀₉(10) = 9000000000..._<117216> = [9000000000..._<117216>] (0.00%)

Φ₁₂₀₅₁₀(10) = 1000999998..._<29377> = [1000999998..._<29377>] (0.00%)

Φ₁₂₀₅₁₁(10) = 1111111111..._<120511> = 5543507 × [2004346907..._<120504>] (0.01%)

Φ₁₂₀₅₁₂(10) = 1000000000..._<51457> = 55917569 × [1788346700..._<51449>] (0.02%)

Φ₁₂₀₅₁₃(10) = 1000000000..._<75073> = 241027 × 5302573 × [7824338820..._<75060>] (0.02%)

Φ₁₂₀₅₁₄(10) = 9090909090..._<60256> = 12783150870964891_<17> × [7111634042..._<60240>] (0.03%)

Φ₁₂₀₅₁₅(10) = 9000090000..._<96408> = 552440761 × [1629150243..._<96400>] (0.01%)

Φ₁₂₀₅₁₆(10) = 9999999999..._<36080> = 1661808349224578281_<19> × [6017541074..._<36062>] (0.05%)

Φ₁₂₀₅₁₇(10) = 9000000000..._<114156> = 51474015871_<11> × [1748454991..._<114146>] (0.01%)

Φ₁₂₀₅₁₈(10) = 9090909090..._<60258> = 241037 × 3536383415642867291_<19> × [1066508340..._<60235>] (0.04%)

Φ₁₂₀₅₁₉(10) = 1001000999..._<68833> = 1141073893_<10> × 1118276517961_<13> × 38017337709961_<14> × [2063430454..._<68798>] (0.05%)

Φ₁₂₀₅₂₀(10) = 9999000099..._<45760> = 10081930034070001_<17> × [9917743989..._<45744>] (0.03%)

Φ₁₂₀₅₂₁(10) = 9000000000..._<119700> = 3133547 × 2905761311_<10> × 635386953043_<12> × [1555636292..._<119673>] (0.02%)

Φ₁₂₀₅₂₂(10) = 9100000000..._<39312> = 148121539 × [6143603463..._<39304>] (0.02%)

Φ₁₂₀₅₂₃(10) = 1111111111..._<108865> = 482093 × [2304765078..._<108859>] (0.01%)

Φ₁₂₀₅₂₄(10) = 1009999999..._<58129> = 241049 × 602621 × 2224270421_<10> × [3125965577..._<58108>] (0.04%)

Φ₁₂₀₅₂₅(10) = 1000010000..._<64241> = 1928401 × 21063861133201_<14> × [2461892084..._<64221>] (0.03%)

Φ₁₂₀₅₂₆(10) = 1099999890..._<51649> = 17114693 × [6427225367..._<51641>] (0.01%)

Φ₁₂₀₅₂₇(10) = 9000000000..._<109560> = [9000000000..._<109560>] (0.00%)

Φ₁₂₀₅₂₈(10) = 1000000000..._<38881> = 352271443372129_<15> × [2838720023..._<38866>] (0.04%)

Φ₁₂₀₅₂₉(10) = 9000000000..._<117684> = 240957237757_<12> × 726276175403_<12> × [5142813030..._<117661>] (0.02%)

Φ₁₂₀₅₃₀(10) = 9091000000..._<45312> = 2410601 × [3771258702..._<45306>] (0.01%)

Φ₁₂₀₅₃₁(10) = 9009009009..._<80352> = [9009009009..._<80352>] (0.00%)

Φ₁₂₀₅₃₂(10) = 9900990099..._<60264> = 3615961 × 121927037369_<12> × 1471421930332453069_<19> × [1526221765..._<60229>] (0.06%)

Φ₁₂₀₅₃₃(10) = 1111110999..._<101377> = 241067 × 25627244329_<11> × 34195199564569_<14> × [5259598971..._<101347>] (0.03%)

Φ₁₂₀₅₃₄(10) = 1098901098..._<40177> = 3024997424767835314018314367_<28> × [3632733998..._<40149>] (0.07%)

Φ₁₂₀₅₃₅(10) = 9000090000..._<96424> = 71989649526071_<14> × [1250192223..._<96411>] (0.01%)

Φ₁₂₀₅₃₆(10) = 9999000099..._<51840> = [9999000099..._<51840>] (0.00%)

Φ₁₂₀₅₃₇(10) = 1001000999..._<78649> = [1001000999..._<78649>] (0.00%)

Φ₁₂₀₅₃₈(10) = 1099999999..._<54781> = 120539 × [9125677166..._<54775>] (0.01%)

Φ₁₂₀₅₃₉(10) = 1111111111..._<120539> = 241079 × 415859551 × 933936173 × 28685147987_<11> × 6598223271524054921_<19> × [6269748644..._<120486>] (0.04%)

Φ_120540L(10) = 9990004998..._<13440> = 11881386721_<11> × [8408113660..._<13430>] (0.07%)

Φ_120540M(10) = 1001000500..._<13441> = 16088941374661_<14> × 7711808402923381_<16> × [8067715858..._<13411>] (0.22%)

Φ₁₂₀₅₄₁(10) = 9000000000..._<119584> = 1314620147_<10> × 17988333431_<11> × [3805846751..._<119565>] (0.02%)

Φ₁₂₀₅₄₂(10) = 9090909090..._<60270> = 3262589773_<10> × [2786408872..._<60261>] (0.02%)

Φ₁₂₀₅₄₃(10) = 1109999999..._<76825> = [1109999999..._<76825>] (0.00%)

Φ₁₂₀₅₄₄(10) = 9999999999..._<60256> = 224144702054849_<15> × 6578369463152737_<16> × 6756052077856673_<16> × [1003830234..._<60211>] (0.08%)

Φ₁₂₀₅₄₅(10) = 9000090000..._<96432> = 2893081 × 11572321 × 363745019681_<12> × [7390413388..._<96407>] (0.03%)

Φ₁₂₀₅₄₆(10) = 9990010000..._<38880> = [9990010000..._<38880>] (0.00%)

Φ₁₂₀₅₄₇(10) = 1111110999..._<97153> = [1111110999..._<97153>] (0.00%)

Φ₁₂₀₅₄₈(10) = 9900990099..._<60272> = 2116828006424249_<16> × [4677276599..._<60257>] (0.03%)

Φ₁₂₀₅₄₉(10) = 9009009009..._<67200> = 3857569 × 173590561 × [1345355973..._<67186>] (0.02%)

Φ₁₂₀₅₅₀(10) = 1000009999..._<48201> = [1000009999..._<48201>] (0.00%)

Φ₁₂₀₅₅₁(10) = 1111111111..._<120551> = 6119168761_<10> × 878407500066841_<15> × 134389751820585676963_<21> × [1538164814..._<120506>] (0.04%)

Φ₁₂₀₅₅₂(10) = 1000099999..._<40177> = 616625891041_<12> × 2947256622073_<13> × [5503053298..._<40152>] (0.06%)

Φ₁₂₀₅₅₃(10) = 9000000000..._<116368> = 482213 × 203975677 × [9150086756..._<116354>] (0.01%)

Φ₁₂₀₅₅₄(10) = 9090910000..._<50544> = 361663 × 1687757 × 15069251 × [9883293512..._<50525>] (0.04%)

Φ₁₂₀₅₅₅(10) = 9999999990..._<59616> = 2169991 × [4608314039..._<59610>] (0.01%)

Φ₁₂₀₅₅₆(10) = 9900990099..._<60276> = 12845460044696809_<17> × [7707773847..._<60260>] (0.03%)

Φ₁₂₀₅₅₇(10) = 1111111111..._<120557> = 6510079 × [1706755188..._<120550>] (0.01%)

Φ₁₂₀₅₅₈(10) = 9100000000..._<39480> = [9100000000..._<39480>] (0.00%)

Φ₁₂₀₅₅₉(10) = 9000000000..._<116640> = 782340665068471_<15> × [1150393990..._<116626>] (0.01%)

Φ₁₂₀₅₆₀(10) = 9999999900..._<43520> = 362486803704938881_<18> × 34863067117652128961_<20> × [7913018897..._<43483>] (0.09%)

Φ₁₂₀₅₆₁(10) = 1109999889..._<68881> = [1109999889..._<68881>] (0.00%)

Φ₁₂₀₅₆₂(10) = 1099999999..._<55633> = 3729789604267927951973_<22> × [2949228017..._<55611>] (0.04%)

Φ₁₂₀₅₆₃(10) = 1111111111..._<120563> = [1111111111..._<120563>] (0.00%)

Φ₁₂₀₅₆₄(10) = 9999990000..._<37632> = 602821 × 17722909 × 262556442541_<12> × 30046008620861461_<17> × [1186497201..._<37592>] (0.11%)

Φ₁₂₀₅₆₅(10) = 9000090000..._<96448> = [9000090000..._<96448>] (0.00%)

Φ₁₂₀₅₆₆(10) = 1099999999..._<57641> = 448425584743_<12> × [2453026850..._<57629>] (0.02%)

Φ₁₂₀₅₆₇(10) = 9009009009..._<80376> = [9009009009..._<80376>] (0.00%)

Φ₁₂₀₅₆₈(10) = 1000099999..._<51649> = 1193261497_<10> × 24840842906377_<14> × [3373971979..._<51626>] (0.04%)

Φ₁₂₀₅₆₉(10) = 1111111111..._<120569> = 30540368839_<11> × 8353723733290867_<16> × [4355149866..._<120542>] (0.02%)

Φ₁₂₀₅₇₀(10) = 9100090999..._<32144> = [9100090999..._<32144>] (0.00%)

Φ₁₂₀₅₇₁(10) = 1111111111..._<107521> = [1111111111..._<107521>] (0.00%)

Φ₁₂₀₅₇₂(10) = 1009999999..._<58801> = 83618476075591150708847801_<26> × [1207867025..._<58775>] (0.04%)

Φ₁₂₀₅₇₃(10) = 9990000009..._<80376> = [9990000009..._<80376>] (0.00%)

Φ₁₂₀₅₇₄(10) = 1000000000..._<56773> = 13866011 × 1783771757_<10> × [4043050596..._<56756>] (0.03%)

Φ₁₂₀₅₇₅(10) = 9999900000..._<74880> = [9999900000..._<74880>] (0.00%)

Φ₁₂₀₅₇₆(10) = 1000000000..._<39937> = 120577 × 5221784833_<10> × [1588241549..._<39922>] (0.04%)

Φ₁₂₀₅₇₇(10) = 1111111111..._<120577> = 6511159 × 3002998672102412041_<19> × [5682560257..._<120551>] (0.02%)

Φ₁₂₀₅₇₈(10) = 9090909090..._<60288> = 117242366436079952597_<21> × [7753945410..._<60268>] (0.03%)

Φ₁₂₀₅₇₉(10) = 9009009009..._<80384> = [9009009009..._<80384>] (0.00%)

Φ_120580L(10) = 3576409999..._<24112> = 844061 × 264793681 × [1600168988..._<24098>] (0.06%)

Φ_120580M(10) = 2824060999..._<24113> = 4461461 × 223675901 × [2829943578..._<24098>] (0.06%)

Φ₁₂₀₅₈₁(10) = 1111111111..._<110081> = 5787889 × 20926350227_<11> × 69581804564747_<14> × [1318402809..._<110050>] (0.03%)

Φ₁₂₀₅₈₂(10) = 1000000000..._<30241> = 2694525373_<10> × 20190732409_<11> × [1838085249..._<30221>] (0.07%)

Φ₁₂₀₅₈₃(10) = 9000000000..._<117288> = [9000000000..._<117288>] (0.00%)

Φ₁₂₀₅₈₄(10) = 9999000099..._<60288> = 241169 × [4146055297..._<60283>] (0.01%)

Φ₁₂₀₅₈₅(10) = 1109988900..._<64305> = [1109988900..._<64305>] (0.00%)

Φ₁₂₀₅₈₆(10) = 9090909090..._<60292> = 963470381431047722249_<21> × 3706030877654907036112849_<25> × [2546008874..._<60247>] (0.08%)

Φ₁₂₀₅₈₇(10) = 1111111111..._<120587> = [1111111111..._<120587>] (0.00%)

Φ₁₂₀₅₈₈(10) = 9901000000..._<37056> = 624748460389_<12> × [1584797823..._<37045>] (0.03%)

Φ₁₂₀₅₈₉(10) = 1000000100..._<97945> = [1000000100..._<97945>] (0.00%)

Φ₁₂₀₅₉₀(10) = 9091000000..._<46560> = 20620891 × [4408635882..._<46553>] (0.02%)

Φ₁₂₀₅₉₁(10) = 9990000009..._<80388> = 9164917 × 2899007641_<10> × 3527542402921_<13> × 112482370475569_<15> × [9476127365..._<80345>] (0.05%)

Φ₁₂₀₅₉₂(10) = 9999999900..._<60288> = 994884001 × [1005142296..._<60280>] (0.01%)

Φ₁₂₀₅₉₃(10) = 1111111111..._<103681> = 723559 × [1535619225..._<103675>] (0.01%)

Φ₁₂₀₅₉₄(10) = 9100000000..._<39600> = 334889539 × 462357397 × 9794524087_<10> × 23591132935669693_<17> × [2543489002..._<39557>] (0.11%)

Φ₁₂₀₅₉₅(10) = 1111099999..._<95041> = [1111099999..._<95041>] (0.00%)

Φ₁₂₀₅₉₆(10) = 9900990099..._<50112> = [9900990099..._<50112>] (0.00%)

Φ₁₂₀₅₉₇(10) = 1109999999..._<78961> = [1109999999..._<78961>] (0.00%)

Φ₁₂₀₅₉₈(10) = 1099999999..._<56737> = [1099999999..._<56737>] (0.00%)

Φ₁₂₀₅₉₉(10) = 9000000000..._<119064> = [9000000000..._<119064>] (0.00%)

Φ₁₂₀₆₀₀(10) = 9999999999..._<31680> = 61988401 × 1071691639201_<13> × [1505288430..._<31661>] (0.06%)

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