Factorization of cyclotomic number Phi

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Φ₁₆₄₁₀₁(10) = 1000000100..._<131713> = 50871311 × [1965744700..._<131705>] (0.01%)

Φ₁₆₄₁₀₂(10) = 9090909090..._<82050> = 8697407 × 15261487 × 4903203659_<10> × [1396820942..._<82027>] (0.03%)

Φ₁₆₄₁₀₃(10) = 1109999999..._<103609> = [1109999999..._<103609>] (0.00%)

Φ₁₆₄₁₀₄(10) = 1000099999..._<80641> = 67536837097_<11> × [1480821493..._<80630>] (0.01%)

Φ₁₆₄₁₀₅(10) = 1111099999..._<125489> = 93254635511_<11> × [1191468921..._<125478>] (0.01%)

Φ₁₆₄₁₀₆(10) = 1000000000..._<54649> = [1000000000..._<54649>] (0.00%)

Φ₁₆₄₁₀₇(10) = 9000000000..._<163296> = [9000000000..._<163296>] (0.00%)

Φ₁₆₄₁₀₈(10) = 1009999999..._<70321> = 820541 × 41191109 × 64323145772089_<14> × [4645691073..._<70293>] (0.04%)

Φ₁₆₄₁₀₉(10) = 1109999999..._<99441> = 32821801 × 2315837610439_<13> × 491105491418917_<15> × [2973566652..._<99406>] (0.03%)

Φ₁₆₄₁₁₀(10) = 1099989000..._<65641> = 18626977331_<11> × 18425257913081_<14> × 180249315895001_<15> × [1778110536..._<65603>] (0.06%)

Φ₁₆₄₁₁₁(10) = 9000000000..._<158424> = 7877329 × [1142519247..._<158418>] (0.00%)

Φ₁₆₄₁₁₂(10) = 9999999900..._<50304> = 164113 × 19857553 × 1965077089_<10> × [1561534876..._<50283>] (0.04%)

Φ₁₆₄₁₁₃(10) = 1111111111..._<164113> = 19693561 × 167188229174580917_<18> × [3374640700..._<164088>] (0.01%)

Φ₁₆₄₁₁₄(10) = 1099999999..._<79381> = 1065756317_<10> × 1518710957_<10> × [6796098166..._<79362>] (0.02%)

Φ₁₆₄₁₁₅(10) = 9990000009..._<74880> = [9990000009..._<74880>] (0.00%)

Φ₁₆₄₁₁₆(10) = 1009999999..._<80961> = [1009999999..._<80961>] (0.00%)

Φ₁₆₄₁₁₇(10) = 1111111111..._<164117> = 4599871277_<10> × [2415526531..._<164107>] (0.01%)

Φ₁₆₄₁₁₈(10) = 9100000000..._<51456> = [9100000000..._<51456>] (0.00%)

Φ₁₆₄₁₁₉(10) = 9000000000..._<163296> = [9000000000..._<163296>] (0.00%)

Φ₁₆₄₁₂₀(10) = 9999000099..._<59520> = [9999000099..._<59520>] (0.00%)

Φ₁₆₄₁₂₁(10) = 1109999999..._<108481> = 328243 × 1969453 × 6893083 × [2490969308..._<108462>] (0.02%)

Φ₁₆₄₁₂₂(10) = 9090910000..._<66528> = [9090910000..._<66528>] (0.00%)

Φ₁₆₄₁₂₃(10) = 9000000000..._<160080> = [9000000000..._<160080>] (0.00%)

Φ₁₆₄₁₂₄(10) = 9999990000..._<52992> = 328249 × [3046464726..._<52987>] (0.01%)

Φ₁₆₄₁₂₅(10) = 1000000000..._<120001> = 506818001 × [1973094874..._<119992>] (0.01%)

Φ₁₆₄₁₂₆(10) = 1099999999..._<81329> = 728227063 × [1510517880..._<81320>] (0.01%)

Φ₁₆₄₁₂₇(10) = 9009009009..._<109416> = 15409227523_<11> × [5846502685..._<109406>] (0.01%)

Φ₁₆₄₁₂₈(10) = 1000000000..._<78145> = 1641281 × [6092801902..._<78138>] (0.01%)

Φ₁₆₄₁₂₉(10) = 9000000900..._<140676> = [9000000900..._<140676>] (0.00%)

Φ₁₆₄₁₃₀(10) = 9100090999..._<43760> = [9100090999..._<43760>] (0.00%)

Φ₁₆₄₁₃₁(10) = 1111111111..._<145321> = [1111111111..._<145321>] (0.00%)

Φ₁₆₄₁₃₂(10) = 1009999999..._<79777> = 2297849 × 3282641 × 237928045049_<12> × 665121951521_<12> × [8461153625..._<79740>] (0.05%)

Φ₁₆₄₁₃₃(10) = 9999999990..._<109404> = [9999999990..._<109404>] (0.00%)

Φ₁₆₄₁₃₄(10) = 9090909090..._<82066> = 76430638441_<11> × [1189432572..._<82056>] (0.01%)

Φ₁₆₄₁₃₅(10) = 1111099999..._<123521> = 328271 × [3384703491..._<123515>] (0.00%)

Φ₁₆₄₁₃₆(10) = 9999000100..._<46848> = [9999000100..._<46848>] (0.00%)

Φ₁₆₄₁₃₇(10) = 9000000000..._<162900> = 9519947 × 17799259202761_<14> × [5311363825..._<162880>] (0.01%)

Φ₁₆₄₁₃₈(10) = 9090909090..._<73776> = 328277 × 7572342493_<10> × [3657098100..._<73761>] (0.02%)

Φ₁₆₄₁₃₉(10) = 9009009009..._<109424> = 17727013 × [5082079540..._<109417>] (0.01%)

Φ_164140L(10) = 2796100000..._<31585> = 656561 × [4258705588..._<31579>] (0.02%)

Φ_164140M(10) = 3540999999..._<31584> = 767846921 × 7592848687661_<13> × 3890622679098902441_<19> × [1561088125..._<31544>] (0.13%)

Φ₁₆₄₁₄₁(10) = 1111111111..._<151633> = 328283 × [3384613614..._<151627>] (0.00%)

Φ₁₆₄₁₄₂(10) = 9990010000..._<49680> = [9990010000..._<49680>] (0.00%)

Φ₁₆₄₁₄₃(10) = 1111110999..._<138841> = [1111110999..._<138841>] (0.00%)

Φ₁₆₄₁₄₄(10) = 9999999900..._<82064> = 77640113 × [1287993990..._<82057>] (0.01%)

Φ₁₆₄₁₄₅(10) = 9009099100..._<84480> = 657893161 × 29011893052111_<14> × [4720086141..._<84458>] (0.03%)

Φ₁₆₄₁₄₆(10) = 9090909090..._<82072> = 113182255231561_<15> × 39909006006207418416823_<23> × [2012602743..._<82036>] (0.04%)

Φ₁₆₄₁₄₇(10) = 1111111111..._<164147> = [1111111111..._<164147>] (0.00%)

Φ₁₆₄₁₄₈(10) = 1009998990..._<54713> = 164149 × 2929059374221_<13> × [2100653987..._<54695>] (0.03%)

Φ₁₆₄₁₄₉(10) = 1111111111..._<164149> = 4596173 × [2417470167..._<164142>] (0.00%)

Φ₁₆₄₁₅₀(10) = 9999999999..._<55440> = [9999999999..._<55440>] (0.00%)

Φ₁₆₄₁₅₁(10) = 9990000009..._<95040> = [9990000009..._<95040>] (0.00%)

Φ₁₆₄₁₅₂(10) = 1000000000..._<76161> = 60736241 × 536487098322401_<15> × [3068971165..._<76138>] (0.03%)

Φ₁₆₄₁₅₃(10) = 9000000000..._<149220> = 46619453 × [1930524581..._<149213>] (0.01%)

Φ₁₆₄₁₅₄(10) = 9100000000..._<54000> = 318366833761_<12> × [2858337940..._<53989>] (0.02%)

Φ₁₆₄₁₅₅(10) = 9000090000..._<131320> = 26264801 × 41539422751_<11> × [8249208501..._<131302>] (0.01%)

Φ₁₆₄₁₅₆(10) = 9900990099..._<82076> = 602124209 × 14213118949_<11> × 404615446142935121_<18> × [2859306350..._<82040>] (0.04%)

Φ₁₆₄₁₅₇(10) = 1109999889..._<93793> = 24295237 × [4568796299..._<93785>] (0.01%)

Φ₁₆₄₁₅₈(10) = 1099999999..._<81481> = [1099999999..._<81481>] (0.00%)

Φ₁₆₄₁₅₉(10) = 9000000000..._<162840> = 8864587 × 71783447521_<11> × [1414359104..._<162823>] (0.01%)

Φ₁₆₄₁₆₀(10) = 9999999999..._<41472> = [9999999999..._<41472>] (0.00%)

Φ₁₆₄₁₆₁(10) = 9000000000..._<163012> = [9000000000..._<163012>] (0.00%)

Φ₁₆₄₁₆₂(10) = 1099999999..._<80965> = 6238157 × 900592733 × [1957978624..._<80949>] (0.02%)

Φ₁₆₄₁₆₃(10) = 9009009009..._<109440> = [9009009009..._<109440>] (0.00%)

Φ₁₆₄₁₆₄(10) = 1009999999..._<57601> = 371010640001_<12> × [2722293894..._<57589>] (0.02%)

Φ₁₆₄₁₆₅(10) = 9000090000..._<131328> = [9000090000..._<131328>] (0.00%)

Φ₁₆₄₁₆₆(10) = 1098901098..._<54721> = [1098901098..._<54721>] (0.00%)

Φ₁₆₄₁₆₇(10) = 9000000000..._<163080> = [9000000000..._<163080>] (0.00%)

Φ₁₆₄₁₆₈(10) = 9999000099..._<82080> = 7979731377809_<13> × 121202151122376689_<18> × [1033851049..._<82051>] (0.04%)

Φ₁₆₄₁₆₉(10) = 9990000009..._<96768> = [9990000009..._<96768>] (0.00%)

Φ₁₆₄₁₇₀(10) = 1099989000..._<65665> = 7387651 × 21834611 × 169044447809051_<15> × [4033997282..._<65636>] (0.04%)

Φ₁₆₄₁₇₁(10) = 1111110999..._<137449> = 985027 × [1128000552..._<137443>] (0.00%)

Φ₁₆₄₁₇₂(10) = 1009998990..._<54721> = 24461629 × 1225543981_<10> × [3369043845..._<54704>] (0.03%)

Φ₁₆₄₁₇₃(10) = 1111111111..._<164173> = 13462187 × [8253570620..._<164165>] (0.00%)

Φ₁₆₄₁₇₄(10) = 9090909090..._<75768> = [9090909090..._<75768>] (0.00%)

Φ₁₆₄₁₇₅(10) = 9999900000..._<79200> = 700860448201_<12> × [1426803299..._<79189>] (0.01%)

Φ₁₆₄₁₇₆(10) = 1000000009..._<79201> = 1149233 × 7880449 × 12805729 × [8622568367..._<79180>] (0.03%)

Φ₁₆₄₁₇₇(10) = 1111111111..._<148609> = 22596665573_<11> × [4917146326..._<148598>] (0.01%)

Φ₁₆₄₁₇₈(10) = 9990010000..._<46872> = 215746473979_<12> × [4630439522..._<46861>] (0.02%)

Φ₁₆₄₁₇₉(10) = 9000000000..._<155520> = 2824207159_<10> × 26811580281359_<14> × [1188566670..._<155498>] (0.01%)

Φ_164180L(10) = 2824060999..._<32833> = 820901 × [3440196807..._<32827>] (0.02%)

Φ_164180M(10) = 3576409999..._<32832> = 1213618561_<10> × [2946897908..._<32823>] (0.03%)

Φ₁₆₄₁₈₁(10) = 9009009009..._<109452> = 1313449 × [6859047446..._<109446>] (0.01%)

Φ₁₆₄₁₈₂(10) = 1099999999..._<81193> = 164183 × 72404263 × 755237201 × 71216627696611_<14> × [1720424355..._<81157>] (0.04%)

Φ₁₆₄₁₈₃(10) = 1111111111..._<164183> = [1111111111..._<164183>] (0.00%)

Φ₁₆₄₁₈₄(10) = 1000099999..._<54721> = [1000099999..._<54721>] (0.00%)

Φ₁₆₄₁₈₅(10) = 1111099888..._<112561> = [1111099888..._<112561>] (0.00%)

Φ₁₆₄₁₈₆(10) = 9090909091..._<70080> = 328373 × [2768470334..._<70075>] (0.01%)

Φ₁₆₄₁₈₇(10) = 9999999999..._<109404> = 4597237 × 2650634929_<10> × [8206409604..._<109388>] (0.01%)

Φ₁₆₄₁₈₈(10) = 9900990099..._<82092> = 5089829 × [1945250046..._<82086>] (0.01%)

Φ₁₆₄₁₈₉(10) = 9000000000..._<162624> = 33494557 × 46629677 × [5762432671..._<162609>] (0.01%)

Φ₁₆₄₁₉₀(10) = 1098890109..._<40321> = 28897441 × [3802724642..._<40313>] (0.02%)

Φ₁₆₄₁₉₁(10) = 1111111111..._<164191> = 715215997 × 11710537812640253_<17> × [1326610499..._<164166>] (0.02%)

Φ₁₆₄₁₉₂(10) = 1000000000..._<70273> = [1000000000..._<70273>] (0.00%)

Φ₁₆₄₁₉₃(10) = 1109999999..._<108529> = 5898140947_<10> × [1881948922..._<108519>] (0.01%)

Φ₁₆₄₁₉₄(10) = 1099999999..._<80497> = 39899143 × 116080236284851_<15> × [2375039485..._<80475>] (0.03%)

Φ₁₆₄₁₉₅(10) = 9000090000..._<131352> = [9000090000..._<131352>] (0.00%)

Φ₁₆₄₁₉₆(10) = 1000000999..._<54721> = 3283921 × 4925881 × 6239449 × 27835377800761_<14> × [3559430012..._<54687>] (0.06%)

Φ₁₆₄₁₉₇(10) = 1000000000..._<140361> = 50244283 × 5789150112769_<13> × [3437941923..._<140340>] (0.01%)

Φ₁₆₄₁₉₈(10) = 9090909090..._<74592> = 22421862658579_<14> × [4054484334..._<74579>] (0.02%)

Φ₁₆₄₁₉₉(10) = 1000000100..._<93745> = [1000000100..._<93745>] (0.00%)

Φ₁₆₄₂₀₀(10) = 1000000000..._<65601> = 1970401 × [5075109076..._<65594>] (0.01%)

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