Factorization of cyclotomic number Phi

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Φ₂₀₆₉₀₁(10) = 1000000001..._<134785> = 93519253 × 23801477239_<11> × [4492572132..._<134766>] (0.01%)

Φ₂₀₆₉₀₂(10) = 9090909090..._<103450> = 6091194881_<10> × [1492467285..._<103441>] (0.01%)

Φ₂₀₆₉₀₃(10) = 9000000000..._<204960> = [9000000000..._<204960>] (0.00%)

Φ₂₀₆₉₀₄(10) = 9999000100..._<66816> = 278229809017_<12> × [3593791813..._<66805>] (0.02%)

Φ₂₀₆₉₀₅(10) = 9000090000..._<165520> = [9000090000..._<165520>] (0.00%)

Φ₂₀₆₉₀₆(10) = 1099999890..._<88669> = 1655249 × 13655797 × [4866449885..._<88655>] (0.02%)

Φ₂₀₆₉₀₇(10) = 1109999999..._<129793> = [1109999999..._<129793>] (0.00%)

Φ₂₀₆₉₀₈(10) = 9900990099..._<90816> = 98289167676701_<14> × 640547767751009_<15> × [1572611498..._<90788>] (0.03%)

Φ₂₀₆₉₀₉(10) = 1111111111..._<206909> = 767923040038117_<15> × [1446904251..._<206894>] (0.01%)

Φ₂₀₆₉₁₀(10) = 1000000000..._<47521> = 620731 × 4965841 × [3244171129..._<47508>] (0.03%)

Φ₂₀₆₉₁₁(10) = 1111111111..._<206911> = 2482933 × 53383039 × 810263477 × [1034577270..._<206888>] (0.01%)

Φ₂₀₆₉₁₂(10) = 1000000000..._<99841> = 121761947431681_<15> × [8212746437..._<99826>] (0.01%)

Φ₂₀₆₉₁₃(10) = 9009009909..._<115536> = 10993701517_<11> × [8194701207..._<115526>] (0.01%)

Φ₂₀₆₉₁₄(10) = 9090909090..._<103456> = [9090909090..._<103456>] (0.00%)

Φ₂₀₆₉₁₅(10) = 1111099999..._<159713> = [1111099999..._<159713>] (0.00%)

Φ₂₀₆₉₁₆(10) = 9901000000..._<67200> = 1878383449_<10> × [5271021742..._<67191>] (0.01%)

Φ₂₀₆₉₁₇(10) = 1111111111..._<206917> = [1111111111..._<206917>] (0.00%)

Φ₂₀₆₉₁₈(10) = 1099999999..._<102817> = 2896853 × 3518119570477_<13> × [1079333437..._<102798>] (0.02%)

Φ₂₀₆₉₁₉(10) = 1001000999..._<135793> = 827677 × 1365665401_<10> × [8855830950..._<135777>] (0.01%)

Φ₂₀₆₉₂₀(10) = 9999000099..._<70848> = 648073441 × [1542880708..._<70840>] (0.01%)

Φ₂₀₆₉₂₁(10) = 1111111111..._<173521> = [1111111111..._<173521>] (0.00%)

Φ₂₀₆₉₂₂(10) = 1098901098..._<68973> = 1063165237_<10> × [1033612707..._<68964>] (0.01%)

Φ₂₀₆₉₂₃(10) = 1111111111..._<206923> = 25658453 × 4413238465633373_<16> × [9812273104..._<206899>] (0.01%)

Φ₂₀₆₉₂₄(10) = 1000000000..._<96833> = 413849 × 166513191269_<12> × [1451140441..._<96816>] (0.02%)

Φ₂₀₆₉₂₅(10) = 9999900000..._<105600> = 900302533201_<12> × [1110726631..._<105589>] (0.01%)

Φ₂₀₆₉₂₆(10) = 1099999999..._<102649> = 123120971 × [8934302508..._<102640>] (0.01%)

Φ₂₀₆₉₂₇(10) = 1000000100..._<171361> = [1000000100..._<171361>] (0.00%)

Φ₂₀₆₉₂₈(10) = 1000000000..._<68833> = [1000000000..._<68833>] (0.00%)

Φ₂₀₆₉₂₉(10) = 9000000000..._<196020> = 1719378855013_<13> × [5234448460..._<196008>] (0.01%)

Φ₂₀₆₉₃₀(10) = 1099989000..._<82769> = 1034651 × 2169661051_<10> × [4900073198..._<82753>] (0.02%)

Φ₂₀₆₉₃₁(10) = 1109999999..._<131913> = 8378636191_<10> × [1324797944..._<131903>] (0.01%)

Φ₂₀₆₉₃₂(10) = 1009999999..._<94041> = 432333508729_<12> × 308156730889261_<15> × [7581075433..._<94014>] (0.03%)

Φ₂₀₆₉₃₃(10) = 1111111111..._<206933> = 413867 × [2684705741..._<206927>] (0.00%)

Φ₂₀₆₉₃₄(10) = 1098900989..._<54433> = [1098900989..._<54433>] (0.00%)

Φ₂₀₆₉₃₅(10) = 9000090000..._<165544> = [9000090000..._<165544>] (0.00%)

Φ₂₀₆₉₃₆(10) = 9999000099..._<103464> = 6221326180297_<13> × [1607213608..._<103452>] (0.01%)

Φ₂₀₆₉₃₇(10) = 9990000009..._<137952> = 154375003 × 3890415601_<10> × 747743258683_<12> × [2224538903..._<137923>] (0.02%)

Φ₂₀₆₉₃₈(10) = 1099999999..._<102397> = 206939 × [5315576087..._<102391>] (0.01%)

Φ₂₀₆₉₃₉(10) = 1111111111..._<206939> = 413879 × 257432117 × [1042848861..._<206925>] (0.01%)

Φ_206940L(10) = 3913542626..._<27584> = [3913542626..._<27584>] (0.00%)

Φ_206940M(10) = 2529932837..._<27585> = [2529932837..._<27585>] (0.00%)

Φ₂₀₆₉₄₁(10) = 9000000900..._<158976> = [9000000900..._<158976>] (0.00%)

Φ₂₀₆₉₄₂(10) = 9090909090..._<103470> = 52627010067899_<14> × [1727422682..._<103457>] (0.01%)

Φ₂₀₆₉₄₃(10) = 1109999999..._<125401> = [1109999999..._<125401>] (0.00%)

Φ₂₀₆₉₄₄(10) = 1000000000..._<99457> = [1000000000..._<99457>] (0.00%)

Φ₂₀₆₉₄₅(10) = 9000090000..._<165552> = 417201121 × 13839312360751_<14> × [1558787354..._<165531>] (0.01%)

Φ₂₀₆₉₄₆(10) = 1000999998..._<68977> = 52196954851_<11> × 58790668303_<11> × [3261974132..._<68955>] (0.03%)

Φ₂₀₆₉₄₇(10) = 9000000000..._<191016> = 15727973 × 2689069319_<10> × 3697728997_<10> × 7085037493_<10> × 266688046067_<12> × [3045698964..._<190969>] (0.02%)

Φ₂₀₆₉₄₈(10) = 9900990099..._<83808> = [9900990099..._<83808>] (0.00%)

Φ₂₀₆₉₄₉(10) = 1109999999..._<136401> = [1109999999..._<136401>] (0.00%)

Φ₂₀₆₉₅₀(10) = 1000009999..._<82761> = 23178401 × 4108371401_<10> × [1050149605..._<82744>] (0.02%)

Φ₂₀₆₉₅₁(10) = 1111111111..._<206951> = [1111111111..._<206951>] (0.00%)

Φ₂₀₆₉₅₂(10) = 1000099999..._<68977> = 206953 × 829943507473009_<15> × [5822683298..._<68956>] (0.03%)

Φ₂₀₆₉₅₃(10) = 1111111111..._<206953> = [1111111111..._<206953>] (0.00%)

Φ₂₀₆₉₅₄(10) = 9090909091..._<89760> = 17810110452971_<14> × [5104353010..._<89747>] (0.01%)

Φ₂₀₆₉₅₅(10) = 9999999999..._<93312> = 413911 × 1094378041_<10> × [2207626819..._<93298>] (0.02%)

Φ₂₀₆₉₅₆(10) = 1009999999..._<100081> = [1009999999..._<100081>] (0.00%)

Φ₂₀₆₉₅₇(10) = 9000000000..._<206016> = 45116627 × 6381726053_<10> × 55205779751_<11> × [5662173593..._<205988>] (0.01%)

Φ₂₀₆₉₅₈(10) = 9100000000..._<64896> = 182536957 × [4985291827..._<64888>] (0.01%)

Φ₂₀₆₉₅₉(10) = 9000000000..._<202104> = 1315182639283_<13> × [6843156023..._<202092>] (0.01%)

Φ₂₀₆₉₆₀(10) = 9999999900..._<76032> = [9999999900..._<76032>] (0.00%)

Φ₂₀₆₉₆₁(10) = 1109999999..._<136753> = [1109999999..._<136753>] (0.00%)

Φ₂₀₆₉₆₂(10) = 1099999890..._<88693> = 620887 × [1771658755..._<88687>] (0.01%)

Φ₂₀₆₉₆₃(10) = 9000000000..._<203808> = 59918853622031_<14> × [1502031406..._<203795>] (0.01%)

Φ₂₀₆₉₆₄(10) = 1000000999..._<68977> = 8278561 × 20075509 × [6016986204..._<68962>] (0.02%)

Φ₂₀₆₉₆₅(10) = 9000090000..._<145600> = 29802961 × [3019864368..._<145593>] (0.01%)

Φ₂₀₆₉₆₆(10) = 9090909090..._<103482> = [9090909090..._<103482>] (0.00%)

Φ₂₀₆₉₆₇(10) = 1109999999..._<130681> = [1109999999..._<130681>] (0.00%)

Φ₂₀₆₉₆₈(10) = 1000099999..._<100801> = 9520529 × 77327114273729_<14> × [1358471537..._<100780>] (0.02%)

Φ₂₀₆₉₆₉(10) = 9000000900..._<177396> = 754195037 × [1193325394..._<177388>] (0.01%)

Φ₂₀₆₉₇₀(10) = 9100090999..._<55184> = 16557601 × 12414773611651_<14> × 36413456741491_<14> × [1215759324..._<55151>] (0.06%)

Φ₂₀₆₉₇₁(10) = 9000000000..._<205344> = 1241827 × 11533665947_<11> × [6283679745..._<205328>] (0.01%)

Φ₂₀₆₉₇₂(10) = 1009999999..._<101617> = [1009999999..._<101617>] (0.00%)

Φ₂₀₆₉₇₃(10) = 9990000009..._<120960> = 135438354677107_<15> × 160684179011929_<15> × [4590401800..._<120932>] (0.02%)

Φ₂₀₆₉₇₄(10) = 1099999999..._<102817> = [1099999999..._<102817>] (0.00%)

Φ₂₀₆₉₇₅(10) = 1000010000..._<155521> = 413951 × 3725551 × 9934801 × [6526881405..._<155501>] (0.01%)

Φ₂₀₆₉₇₆(10) = 9999999999..._<53760> = 2276737 × 898482817 × [4888519576..._<53745>] (0.03%)

Φ₂₀₆₉₇₇(10) = 9000000000..._<197956> = [9000000000..._<197956>] (0.00%)

Φ₂₀₆₉₇₈(10) = 1099999999..._<100657> = 252513161 × [4356208585..._<100648>] (0.01%)

Φ₂₀₆₉₇₉(10) = 9009009009..._<137984> = 19456027 × 337789729 × [1370807338..._<137969>] (0.01%)

Φ_206980L(10) = 2796099999..._<40561> = 1769969092650518281_<19> × 366781081299272926678981_<24> × [4307051753..._<40519>] (0.10%)

Φ_206980M(10) = 3541000000..._<40560> = 32733473041_<11> × [1081767277..._<40550>] (0.03%)

Φ₂₀₆₉₈₁(10) = 9000000000..._<205932> = 7830091231_<10> × 211375206631_<12> × [5437780113..._<205911>] (0.01%)

Φ₂₀₆₉₈₂(10) = 1000000000..._<68977> = [1000000000..._<68977>] (0.00%)

Φ₂₀₆₉₈₃(10) = 9000000900..._<177408> = 1294885649_<10> × [6950421380..._<177399>] (0.01%)

Φ₂₀₆₉₈₄(10) = 9999000099..._<103488> = [9999000099..._<103488>] (0.00%)

Φ₂₀₆₉₈₅(10) = 1109988900..._<110385> = 9521311 × [1165794185..._<110378>] (0.01%)

Φ₂₀₆₉₈₆(10) = 9090909090..._<90288> = 2780028967_<10> × 249333472727_<12> × [1311527519..._<90268>] (0.02%)

Φ₂₀₆₉₈₇(10) = 1111111111..._<181801> = [1111111111..._<181801>] (0.00%)

Φ₂₀₆₉₈₈(10) = 9901000000..._<67344> = 6416629 × [1543022044..._<67338>] (0.01%)

Φ₂₀₆₉₈₉(10) = 9000000000..._<206080> = 115726601476403_<15> × 154456983910763_<15> × [5035026491..._<206052>] (0.01%)

Φ₂₀₆₉₉₀(10) = 9091000909..._<70944> = [9091000909..._<70944>] (0.00%)

Φ₂₀₆₉₉₁(10) = 1001000999..._<136081> = 2069911 × 21113083 × 50044149074827_<14> × [4576967985..._<136053>] (0.02%)

Φ₂₀₆₉₉₂(10) = 1000000009..._<97281> = 206993 × 827969 × [5834857697..._<97269>] (0.01%)

Φ₂₀₆₉₉₃(10) = 1111111111..._<206993> = 193745449 × 5868251551_<10> × 26295660034711_<14> × [3716491827..._<206961>] (0.02%)

Φ₂₀₆₉₉₄(10) = 1098901098..._<68997> = [1098901098..._<68997>] (0.00%)

Φ₂₀₆₉₉₅(10) = 9000090000..._<165592> = 101119541441_<12> × [8900445821..._<165581>] (0.01%)

Φ₂₀₆₉₉₆(10) = 9900990099..._<103496> = 3725929 × 895033208698081_<15> × [2968963797..._<103475>] (0.02%)

Φ₂₀₆₉₉₇(10) = 1109999889..._<118273> = 2897959 × [3830281549..._<118266>] (0.01%)

Φ₂₀₆₉₉₈(10) = 1000000000..._<93121> = [1000000000..._<93121>] (0.00%)

Φ₂₀₆₉₉₉(10) = 9000000000..._<191064> = [9000000000..._<191064>] (0.00%)

Φ₂₀₇₀₀₀(10) = 9999999999..._<52800> = 8782596001_<10> × 15019092001_<11> × [7581120796..._<52780>] (0.04%)

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