Factorization of cyclotomic number Phi

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Φ₂₉₁₀₀₁(10) = 9000000000..._<289872> = 254916877 × (3530562631..._<289864>) (0.00%)

Φ₂₉₁₀₀₂(10) = 9090909090..._<145500> = [9090909090..._<145500>] (0.00%)

Φ₂₉₁₀₀₃(10) = 9009009009..._<194000> = 2910031 × 373647853 × [8285465525..._<193985>] (0.01%)

Φ₂₉₁₀₀₄(10) = 9900990099..._<117936> = 4365061 × 267867650445949_<15> × [8467750256..._<117915>] (0.02%)

Φ₂₉₁₀₀₅(10) = 9999999999..._<190080> = 23833891511_<11> × [4195705932..._<190070>] (0.01%)

Φ₂₉₁₀₀₆(10) = 9999999990..._<91008> = 5820121 × [1718177335..._<91002>] (0.01%)

Φ₂₉₁₀₀₇(10) = 1111111111..._<291007> = 2634872269898382079_<19> × (4216944873..._<290988>) (0.01%)

Φ₂₉₁₀₀₈(10) = 9999999999..._<145472> = 6017754433_<10> × [1661749430..._<145463>] (0.01%)

Φ₂₉₁₀₀₉(10) = 9009009009..._<194004> = 180702620569_<12> × [4985544194..._<193993>] (0.01%)

Φ₂₉₁₀₁₀(10) = 1099989000..._<116401> = 53256314442011_<14> × [2065462117..._<116387>] (0.01%)

Φ₂₉₁₀₁₁(10) = 9999999000..._<249396> = (9999999000..._<249396>) (0.00%)

Φ₂₉₁₀₁₂(10) = 1009998990..._<97001> = [1009998990..._<97001>] (0.00%)

Φ₂₉₁₀₁₃(10) = 1111111111..._<291013> = (1111111111..._<291013>) (0.00%)

Φ₂₉₁₀₁₄(10) = 1099999999..._<144641> = 4365211 × 511602613 × 379219761373_<12> × 240963803554609_<15> × [5390287378..._<144599>] (0.03%)

Φ₂₉₁₀₁₅(10) = 9990000009..._<149184> = 33175711 × 96034951 × 144925471 × 9336187827991_<13> × [2317403345..._<149148>] (0.02%)

Φ₂₉₁₀₁₆(10) = 1000099999..._<132241> = 10767593 × [9288055371..._<132233>] (0.01%)

Φ₂₉₁₀₁₇(10) = 9000000000..._<289536> = 8730511 × 265252682957_<12> × 1209640098133_<13> × (3212823631..._<289506>) (0.01%)

Φ₂₉₁₀₁₈(10) = 1000000000..._<74881> = 582037 × 7139557689811_<13> × [2406456963..._<74862>] (0.02%)

Φ₂₉₁₀₁₉(10) = 9000000000..._<278344> = 1164077 × 55875649 × 1714101911_<10> × (8072379695..._<278321>) (0.01%)

Φ_291020L(10) = 2824060999..._<58201> = 11596855981_<11> × 5606587004554495381_<19> × 42448165646966393641_<20> × 87384557688272813821_<20> × [1170958824..._<58133>] (0.12%)

Φ_291020M(10) = 3576409999..._<58200> = 3500097541_<10> × [1021802951..._<58191>] (0.02%)

Φ₂₉₁₀₂₁(10) = 9009009009..._<194012> = 219119023573_<12> × [4111468215..._<194001>] (0.01%)

Φ₂₉₁₀₂₂(10) = 9090909090..._<145510> = [9090909090..._<145510>] (0.00%)

Φ₂₉₁₀₂₃(10) = 1000000000..._<254593> = (1000000000..._<254593>) (0.00%)

Φ₂₉₁₀₂₄(10) = 9999999999..._<92736> = 873073 × [1145379595..._<92731>] (0.01%)

Φ₂₉₁₀₂₅(10) = 1000010000..._<199441> = 579894086801_<12> × [1724470076..._<199429>] (0.01%)

Φ₂₉₁₀₂₆(10) = 9090909090..._<145512> = [9090909090..._<145512>] (0.00%)

Φ₂₉₁₀₂₇(10) = 1109999999..._<176361> = 30266809 × [3667383634..._<176353>] (0.00%)

Φ₂₉₁₀₂₈(10) = 1009999999..._<140761> = 1746169 × 135619049 × [4264954528..._<140746>] (0.01%)

Φ₂₉₁₀₂₉(10) = 9000000000..._<286860> = 129216877 × (6965034451..._<286852>) (0.00%)

Φ₂₉₁₀₃₀(10) = 1098890109..._<76033> = 29910099529561_<14> × [3673976774..._<76019>] (0.02%)

Φ₂₉₁₀₃₁(10) = 1111111111..._<263521> = 13387427 × 48893209 × (1697508011..._<263506>) (0.01%)

Φ₂₉₁₀₃₂(10) = 1000099999..._<124705> = 9604057 × 4988611816553_<13> × [2087415900..._<124685>] (0.02%)

Φ₂₉₁₀₃₃(10) = 9999999999..._<193968> = 61152436027_<11> × 11424388658329_<14> × [1431374475..._<193945>] (0.01%)

Φ₂₉₁₀₃₄(10) = 9090909090..._<145516> = [9090909090..._<145516>] (0.00%)

Φ₂₉₁₀₃₅(10) = 9000090000..._<232824> = 2328281 × (3865551452..._<232818>) (0.00%)

Φ₂₉₁₀₃₆(10) = 9901000000..._<95472> = 4365541 × [2267989236..._<95466>] (0.01%)

Φ₂₉₁₀₃₇(10) = 1111111111..._<291037> = 7709506186236282893_<19> × (1441222153..._<291018>) (0.01%)

Φ₂₉₁₀₃₈(10) = 1099999999..._<132281> = 9333505714171_<13> × [1178549661..._<132268>] (0.01%)

Φ₂₉₁₀₃₉(10) = 1109999889..._<166297> = 201981067 × [5495564042..._<166288>] (0.00%)

Φ₂₉₁₀₄₀(10) = 9999999999..._<108544> = [9999999999..._<108544>] (0.00%)

Φ₂₉₁₀₄₁(10) = 1111111111..._<291041> = 582083 × 500953634975323_<15> × 789189057943523_<15> × (4828297119..._<291005>) (0.01%)

Φ₂₉₁₀₄₂(10) = 1000999998..._<85537> = 1393800139_<10> × 199591946929_<12> × [3598243578..._<85516>] (0.02%)

Φ₂₉₁₀₄₃(10) = 1111111111..._<291043> = 1164173 × 1193954430191_<13> × (7993780456..._<291024>) (0.01%)

Φ₂₉₁₀₄₄(10) = 9900990099..._<129024> = [9900990099..._<129024>] (0.00%)

Φ₂₉₁₀₄₅(10) = 1109988900..._<155217> = 1145860463521_<13> × 22246918665241_<14> × [4354286829..._<155191>] (0.02%)

Φ₂₉₁₀₄₆(10) = 1099999890..._<124729> = [1099999890..._<124729>] (0.00%)

Φ₂₉₁₀₄₇(10) = 9000000000..._<286056> = (9000000000..._<286056>) (0.00%)

Φ₂₉₁₀₄₈(10) = 9999000100..._<95040> = [9999000100..._<95040>] (0.00%)

Φ₂₉₁₀₄₉(10) = 9000000000..._<264580> = (9000000000..._<264580>) (0.00%)

Φ₂₉₁₀₅₀(10) = 1000009999..._<116401> = [1000009999..._<116401>] (0.00%)

Φ₂₉₁₀₅₁(10) = 1001000999..._<190945> = 2328409 × [4299077181..._<190938>] (0.00%)

Φ₂₉₁₀₅₂(10) = 9900990099..._<145524> = [9900990099..._<145524>] (0.00%)

Φ₂₉₁₀₅₃(10) = 9000000900..._<249468> = (9000000900..._<249468>) (0.00%)

Φ₂₉₁₀₅₄(10) = 9100000000..._<96120> = 40285657303_<11> × [2258868443..._<96110>] (0.01%)

Φ₂₉₁₀₅₅(10) = 9000090000..._<232840> = (9000090000..._<232840>) (0.00%)

Φ₂₉₁₀₅₆(10) = 9999999900..._<145520> = 38905455521_<11> × 52505920289_<11> × 869478104670673_<15> × [5630183713..._<145484>] (0.02%)

Φ₂₉₁₀₅₇(10) = 9009009009..._<168192> = [9009009009..._<168192>] (0.00%)

Φ₂₉₁₀₅₈(10) = 1099999999..._<144721> = 79278564026063_<14> × [1387512518..._<144707>] (0.01%)

Φ₂₉₁₀₅₉(10) = 1111111111..._<273601> = 582119 × (1908735346..._<273595>) (0.00%)

Φ_291060L(10) = 1000000000..._<30241> = 3304417568761_<13> × [3026251916..._<30228>] (0.04%)

Φ_291060M(10) = 9999999999..._<30240> = [9999999999..._<30240>] (0.00%)

Φ₂₉₁₀₆₁(10) = 9000000000..._<275724> = 3492733 × (2576778700..._<275718>) (0.00%)

Φ₂₉₁₀₆₂(10) = 9090909090..._<145530> = [9090909090..._<145530>] (0.00%)

Φ₂₉₁₀₆₃(10) = 9009009009..._<194040> = [9009009009..._<194040>] (0.00%)

Φ₂₉₁₀₆₄(10) = 9999000099..._<145528> = 958624287972289_<15> × [1043057246..._<145514>] (0.01%)

Φ₂₉₁₀₆₅(10) = 1111099999..._<222641> = (1111099999..._<222641>) (0.00%)

Φ₂₉₁₀₆₆(10) = 9100000000..._<96048> = 96821940637_<11> × [9398696142..._<96037>] (0.01%)

Φ₂₉₁₀₆₇(10) = 1111110999..._<243433> = (1111110999..._<243433>) (0.00%)

Φ₂₉₁₀₆₈(10) = 9900990099..._<145532> = 1455341 × 3201749 × [2124841692..._<145520>] (0.01%)

Φ₂₉₁₀₆₉(10) = 9990000009..._<194040> = [9990000009..._<194040>] (0.00%)

Φ₂₉₁₀₇₀(10) = 9091000000..._<107424> = 3313580465521_<13> × [2743557941..._<107412>] (0.01%)

Φ₂₉₁₀₇₁(10) = 1111111111..._<258521> = (1111111111..._<258521>) (0.00%)

Φ₂₉₁₀₇₂(10) = 1000000000..._<96769> = [1000000000..._<96769>] (0.00%)

Φ₂₉₁₀₇₃(10) = 9000000000..._<281008> = 1746439 × 117011347 × 2644107133_<10> × (1665643528..._<280985>) (0.01%)

Φ₂₉₁₀₇₄(10) = 9090910000..._<117312> = 6694703 × [1357925810..._<117306>] (0.01%)

Φ₂₉₁₀₇₅(10) = 1000010000..._<155201> = 33182551 × [3013662210..._<155193>] (0.00%)

Φ₂₉₁₀₇₆(10) = 1009999999..._<142689> = 31510432381_<11> × [3205287657..._<142678>] (0.01%)

Φ₂₉₁₀₇₇(10) = 1111111111..._<291077> = 41915089 × 89651717 × (2956844504..._<291061>) (0.01%)

Φ₂₉₁₀₇₈(10) = 9990010000..._<95472> = 582157 × [1716033647..._<95467>] (0.01%)

Φ₂₉₁₀₇₉(10) = 9000000000..._<283176> = (9000000000..._<283176>) (0.00%)

Φ₂₉₁₀₈₀(10) = 9999000099..._<110016> = 582161 × [1717566120..._<110011>] (0.01%)

Φ₂₉₁₀₈₁(10) = 9009009909..._<163344> = 1795387609_<10> × [5017863476..._<163335>] (0.01%)

Φ₂₉₁₀₈₂(10) = 9090909091..._<130000> = 805332263132893_<15> × [1128839549..._<129986>] (0.01%)

Φ₂₉₁₀₈₃(10) = 9000000000..._<268680> = 124001359 × (7257984970..._<268672>) (0.00%)

Φ₂₉₁₀₈₄(10) = 9901000000..._<95760> = [9901000000..._<95760>] (0.00%)

Φ₂₉₁₀₈₅(10) = 9000090000..._<232864> = 9733887057361_<13> × (9246141801..._<232851>) (0.01%)

Φ₂₉₁₀₈₆(10) = 9090909090..._<145542> = 582173 × 28184098527775321_<17> × [5540527394..._<145520>] (0.02%)

Φ₂₉₁₀₈₇(10) = 9999999990..._<194040> = 324853093 × 663793630453_<12> × [4637457181..._<194020>] (0.01%)

Φ₂₉₁₀₈₈(10) = 9999999900..._<118272> = 5530673 × 1294468337_<10> × 2044706030417_<13> × [6831242527..._<118244>] (0.02%)

Φ₂₉₁₀₈₉(10) = 1111111111..._<291089> = (1111111111..._<291089>) (0.00%)

Φ₂₉₁₀₉₀(10) = 1098890109..._<74881> = 3553560642571_<13> × 100745154501601_<15> × [3069491014..._<74854>] (0.04%)

Φ₂₉₁₀₉₁(10) = 9000000000..._<273952> = (9000000000..._<273952>) (0.00%)

Φ₂₉₁₀₉₂(10) = 1009999999..._<143041> = 4075289 × [2478351842..._<143034>] (0.00%)

Φ₂₉₁₀₉₃(10) = 1109999999..._<176401> = [1109999999..._<176401>] (0.00%)

Φ₂₉₁₀₉₄(10) = 9090909090..._<145546> = 103326726241_<12> × 20004424487704755211_<20> × [4398135281..._<145516>] (0.02%)

Φ₂₉₁₀₉₅(10) = 1111099888..._<199585> = 314964791 × [3527695541..._<199576>] (0.00%)

Φ₂₉₁₀₉₆(10) = 9999999999..._<89280> = [9999999999..._<89280>] (0.00%)

Φ₂₉₁₀₉₇(10) = 9000000000..._<288000> = (9000000000..._<288000>) (0.00%)

Φ₂₉₁₀₉₈(10) = 9090909090..._<145548> = 1455491 × 28818703 × 14332506088309921_<17> × [1512172111..._<145519>] (0.02%)

Φ₂₉₁₀₉₉(10) = 1109999999..._<183817> = 14649266077_<11> × [7577171403..._<183806>] (0.01%)

Φ_291100L(10) = 9900498006..._<56000> = 291101 × 7064997001_<10> × 941541699701_<12> × [5112835292..._<55973>] (0.05%)

Φ_291100M(10) = 1010050200..._<56001> = 8733001 × 863684160070801_<15> × [1339135412..._<55979>] (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