Factorization of cyclotomic number Phi

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Φ₂₃₄₁₀₁(10) = 1111110999..._<196561> = 36987959 × [3003980295..._<196553>] (0.00%)

Φ₂₃₄₁₀₂(10) = 9100000000..._<70920> = 234103 × [3887177866..._<70915>] (0.01%)

Φ₂₃₄₁₀₃(10) = 1111111111..._<234103> = 936413 × 39517522813_<11> × [3002619796..._<234086>] (0.01%)

Φ₂₃₄₁₀₄(10) = 1000099999..._<108001> = [1000099999..._<108001>] (0.00%)

Φ₂₃₄₁₀₅(10) = 1109988900..._<124849> = 1872841 × [5926765272..._<124842>] (0.01%)

Φ₂₃₄₁₀₆(10) = 9090909090..._<117052> = 1638743 × 38271648881_<11> × [1449503577..._<117036>] (0.01%)

Φ₂₃₄₁₀₇(10) = 1111111111..._<214913> = [1111111111..._<214913>] (0.00%)

Φ₂₃₄₁₀₈(10) = 9999990000..._<66816> = [9999990000..._<66816>] (0.00%)

Φ₂₃₄₁₀₉(10) = 9000000000..._<232704> = 936437 × 12359550547_<11> × 791420739343237_<15> × [9825481439..._<232673>] (0.01%)

Φ₂₃₄₁₁₀(10) = 9091000000..._<91200> = [9091000000..._<91200>] (0.00%)

Φ₂₃₄₁₁₁(10) = 1109999999..._<153793> = [1109999999..._<153793>] (0.00%)

Φ₂₃₄₁₁₂(10) = 1000000000..._<111361> = 702337 × 9917686657_<10> × 34646234881_<11> × [4143697311..._<111334>] (0.02%)

Φ₂₃₄₁₁₃(10) = 9000000000..._<212820> = [9000000000..._<212820>] (0.00%)

Φ₂₃₄₁₁₄(10) = 1098901098..._<78037> = 119169410623_<12> × [9221335350..._<78025>] (0.01%)

Φ₂₃₄₁₁₅(10) = 1111099888..._<160513> = 1862150711_<10> × 5057163065081_<13> × [1179862286..._<160491>] (0.01%)

Φ₂₃₄₁₁₆(10) = 1009999999..._<115753> = 1170581 × [8628194033..._<115746>] (0.01%)

Φ₂₃₄₁₁₇(10) = 9999999990..._<133056> = 3262013967889_<13> × [3065590794..._<133044>] (0.01%)

Φ₂₃₄₁₁₈(10) = 9090909090..._<108000> = 3511771 × 124709976241_<12> × 44642847486557_<14> × [4649733291..._<107969>] (0.03%)

Φ₂₃₄₁₁₉(10) = 9000000000..._<231744> = 468239 × [1922095340..._<231739>] (0.00%)

Φ₂₃₄₁₂₀(10) = 9999000100..._<62400> = 254254321 × 86337837121_<11> × [4554986199..._<62381>] (0.03%)

Φ₂₃₄₁₂₁(10) = 1111111111..._<234121> = 2809453 × 3183109117_<10> × 175395088478556043_<18> × [7083807733..._<234087>] (0.01%)

Φ₂₃₄₁₂₂(10) = 1000000099..._<100297> = [1000000099..._<100297>] (0.00%)

Φ₂₃₄₁₂₃(10) = 9009009009..._<156080> = [9009009009..._<156080>] (0.00%)

Φ₂₃₄₁₂₄(10) = 9900990099..._<99840> = 184644702089_<12> × [5362184772..._<99829>] (0.01%)

Φ₂₃₄₁₂₅(10) = 9999999999..._<187200> = 23880751 × [4187472998..._<187193>] (0.00%)

Φ₂₃₄₁₂₆(10) = 1000999998..._<78037> = 468253 × 1609616251_<10> × [1328101173..._<78022>] (0.02%)

Φ₂₃₄₁₂₇(10) = 9000000000..._<232960> = 36623081849_<11> × 1945273211249_<13> × [1263301511..._<232938>] (0.01%)

Φ₂₃₄₁₂₈(10) = 9999999900..._<117056> = [9999999900..._<117056>] (0.00%)

Φ₂₃₄₁₂₉(10) = 1109999889..._<133777> = 72708760951_<11> × 172644851569_<12> × [8842652528..._<133754>] (0.02%)

Φ₂₃₄₁₃₀(10) = 9091000000..._<86400> = 234131 × 936521 × [4146056513..._<86389>] (0.01%)

Φ₂₃₄₁₃₁(10) = 1111111111..._<234131> = 714140094933533_<15> × 172639745979901667_<18> × 5977212639625303031_<19> × [1507768198..._<234080>] (0.02%)

Φ₂₃₄₁₃₂(10) = 9901000000..._<76896> = [9901000000..._<76896>] (0.00%)

Φ₂₃₄₁₃₃(10) = 9000000000..._<232288> = 7960523 × [1130578983..._<232282>] (0.00%)

Φ₂₃₄₁₃₄(10) = 1099999999..._<116201> = 2107207 × 741575427809_<12> × [7039311014..._<116182>] (0.02%)

Φ₂₃₄₁₃₅(10) = 9999999999..._<110880> = [9999999999..._<110880>] (0.00%)

Φ₂₃₄₁₃₆(10) = 9999000099..._<96768> = 24034149371681_<14> × [4160330347..._<96755>] (0.01%)

Φ₂₃₄₁₃₇(10) = 9000000000..._<221796> = [9000000000..._<221796>] (0.00%)

Φ₂₃₄₁₃₈(10) = 1098901098..._<78045> = 234139 × 513914413099_<12> × [9132591887..._<78027>] (0.02%)

Φ₂₃₄₁₃₉(10) = 1111111111..._<234139> = 65461244701649_<14> × [1697357140..._<234125>] (0.01%)

Φ_234140L(10) = 3540999999..._<44704> = [3540999999..._<44704>] (0.00%)

Φ_234140M(10) = 2796100000..._<44705> = 575757986621_<12> × [4856380745..._<44693>] (0.03%)

Φ₂₃₄₁₄₁(10) = 1109999999..._<146881> = [1109999999..._<146881>] (0.00%)

Φ₂₃₄₁₄₂(10) = 9090909090..._<117070> = [9090909090..._<117070>] (0.00%)

Φ₂₃₄₁₄₃(10) = 9000000900..._<177120> = 8135532679_<10> × [1106258342..._<177111>] (0.01%)

Φ₂₃₄₁₄₄(10) = 1000000000..._<77761> = 468289 × 30178305511489_<14> × 151674807607489_<15> × [4665280276..._<77727>] (0.04%)

Φ₂₃₄₁₄₅(10) = 9000090000..._<187312> = 4652929441_<10> × [1934284651..._<187303>] (0.01%)

Φ₂₃₄₁₄₆(10) = 9090909091..._<102480> = 80769296533223_<14> × [1125540209..._<102467>] (0.01%)

Φ₂₃₄₁₄₇(10) = 9009009009..._<156096> = 39804991 × [2263286282..._<156089>] (0.00%)

Φ₂₃₄₁₄₈(10) = 9900990099..._<117072> = 234149 × 116137409 × [3640945566..._<117059>] (0.01%)

Φ₂₃₄₁₄₉(10) = 1111111111..._<234149> = [1111111111..._<234149>] (0.00%)

Φ₂₃₄₁₅₀(10) = 1000009999..._<53281> = 7258651 × [1377680232..._<53274>] (0.01%)

Φ₂₃₄₁₅₁(10) = 9000000000..._<228400> = 2809813 × [3203060132..._<228394>] (0.00%)

Φ₂₃₄₁₅₂(10) = 9999000099..._<117072> = 24860620297_<11> × [4022023578..._<117062>] (0.01%)

Φ₂₃₄₁₅₃(10) = 9990000009..._<156096> = 4767787326439_<13> × [2095311582..._<156084>] (0.01%)

Φ₂₃₄₁₅₄(10) = 1000000000..._<112425> = 32547407 × 41445259 × [7413251724..._<112409>] (0.01%)

Φ₂₃₄₁₅₅(10) = 9000090000..._<187320> = 24352121 × 1322712091471_<13> × [2794117952..._<187301>] (0.01%)

Φ₂₃₄₁₅₆(10) = 1009998990..._<67393> = 702469 × [1437784428..._<67387>] (0.01%)

Φ₂₃₄₁₅₇(10) = 1111110999..._<182401> = [1111110999..._<182401>] (0.00%)

Φ₂₃₄₁₅₈(10) = 9090909090..._<107520> = 5559379237_<10> × [1635238162..._<107511>] (0.01%)

Φ₂₃₄₁₅₉(10) = 1109999999..._<154177> = 17627300319529_<14> × [6297050483..._<154163>] (0.01%)

Φ₂₃₄₁₆₀(10) = 1000000009..._<93633> = [1000000009..._<93633>] (0.00%)

Φ₂₃₄₁₆₁(10) = 1111111111..._<234161> = 468323 × [2372531588..._<234155>] (0.00%)

Φ₂₃₄₁₆₂(10) = 1000999998..._<78049> = 19669609 × 952687506443437_<15> × [5341803154..._<78026>] (0.03%)

Φ₂₃₄₁₆₃(10) = 9000000000..._<223960> = [9000000000..._<223960>] (0.00%)

Φ₂₃₄₁₆₄(10) = 1009999999..._<100345> = 1170821 × 16859809 × [5116561752..._<100331>] (0.01%)

Φ₂₃₄₁₆₅(10) = 9009099100..._<122496> = [9009099100..._<122496>] (0.00%)

Φ₂₃₄₁₆₆(10) = 1099999999..._<116281> = 234167 × 23884933 × [1966721953..._<116268>] (0.01%)

Φ₂₃₄₁₆₇(10) = 1111111111..._<234167> = [1111111111..._<234167>] (0.00%)

Φ₂₃₄₁₆₈(10) = 9999000100..._<70880> = [9999000100..._<70880>] (0.00%)

Φ₂₃₄₁₆₉(10) = 9000000000..._<216144> = [9000000000..._<216144>] (0.00%)

Φ₂₃₄₁₇₀(10) = 1099989000..._<93665> = [1099989000..._<93665>] (0.00%)

Φ₂₃₄₁₇₁(10) = 1000000000..._<131545> = 4214141317_<10> × 15281531119_<11> × [1552830435..._<131525>] (0.02%)

Φ₂₃₄₁₇₂(10) = 9900990099..._<117084> = [9900990099..._<117084>] (0.00%)

Φ₂₃₄₁₇₃(10) = 9000000000..._<227808> = 1405039 × [6405516145..._<227802>] (0.00%)

Φ₂₃₄₁₇₄(10) = 9100000000..._<75480> = 1196394967_<10> × 529921411348933_<15> × [1435341849..._<75457>] (0.03%)

Φ₂₃₄₁₇₅(10) = 9999900000..._<161280> = 2341751 × 3746801 × 216611949936001_<15> × [5261528211..._<161253>] (0.02%)

Φ₂₃₄₁₇₆(10) = 9999999999..._<117056> = 25759361 × 130048870458433_<15> × [2985096189..._<117035>] (0.02%)

Φ₂₃₄₁₇₇(10) = 9009009009..._<156116> = 34189843 × [2634995723..._<156109>] (0.00%)

Φ₂₃₄₁₇₈(10) = 9090910000..._<97776> = [9090910000..._<97776>] (0.00%)

Φ₂₃₄₁₇₉(10) = 1111111111..._<208801> = [1111111111..._<208801>] (0.00%)

Φ_234180L(10) = 1105096689..._<31201> = 234181 × [4718985271..._<31195>] (0.02%)

Φ_234180M(10) = 9048972901..._<31200> = 754954167601_<12> × 1483369550595496801_<19> × [8080334523..._<31170>] (0.10%)

Φ₂₃₄₁₈₁(10) = 1111111111..._<234181> = 18266119 × 25440487117_<11> × 463483880502089_<15> × [5158829217..._<234148>] (0.01%)

Φ₂₃₄₁₈₂(10) = 1099999999..._<108073> = [1099999999..._<108073>] (0.00%)

Φ₂₃₄₁₈₃(10) = 1109999999..._<155001> = [1109999999..._<155001>] (0.00%)

Φ₂₃₄₁₈₄(10) = 1000099999..._<115201> = 1540696537_<10> × 36747392182001_<14> × [1766443685..._<115178>] (0.02%)

Φ₂₃₄₁₈₅(10) = 1111099888..._<160561> = 57609511 × 149410031 × [1290860047..._<160545>] (0.01%)

Φ₂₃₄₁₈₆(10) = 9100000000..._<74624> = [9100000000..._<74624>] (0.00%)

Φ₂₃₄₁₈₇(10) = 1111111111..._<234187> = [1111111111..._<234187>] (0.00%)

Φ₂₃₄₁₈₈(10) = 1009999999..._<115921> = 8430769 × [1197992733..._<115914>] (0.01%)

Φ₂₃₄₁₈₉(10) = 9990000009..._<156120> = 1091789119_<10> × 53804922751_<11> × [1700609946..._<156101>] (0.01%)

Φ₂₃₄₁₉₀(10) = 9091000000..._<85120> = 3512851 × 7667585750441_<13> × [3375151617..._<85101>] (0.02%)

Φ₂₃₄₁₉₁(10) = 1111111111..._<234191> = 1003498130597_<13> × [1107237848..._<234179>] (0.01%)

Φ₂₃₄₁₉₂(10) = 1000000009..._<61441> = 234193 × 10447539313_<11> × [4087070041..._<61425>] (0.03%)

Φ₂₃₄₁₉₃(10) = 1111111111..._<234193> = 936773 × 2810317 × 15889212367626281_<17> × [2656228581..._<234164>] (0.01%)

Φ₂₃₄₁₉₄(10) = 1099999999..._<110917> = 139524120023_<12> × 495531787183_<12> × [1591006208..._<110894>] (0.02%)

Φ₂₃₄₁₉₅(10) = 9009099100..._<115200> = [9009099100..._<115200>] (0.00%)

Φ₂₃₄₁₉₆(10) = 9900990099..._<117096> = 80797621 × 269325401 × 170909037633629_<15> × [2662181791..._<117066>] (0.03%)

Φ₂₃₄₁₉₇(10) = 1111111111..._<234197> = [1111111111..._<234197>] (0.00%)

Φ₂₃₄₁₉₈(10) = 1000000000..._<78049> = 260193979 × [3843286477..._<78040>] (0.01%)

Φ₂₃₄₁₉₉(10) = 9000000900..._<200736> = 936797 × 2341991 × 93747517711_<11> × 4771598998279_<13> × [9170396717..._<200700>] (0.02%)

Φ₂₃₄₂₀₀(10) = 1000000000..._<93601> = 91806401 × 8406676449601_<13> × [1295694766..._<93580>] (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