Factorization of cyclotomic number Phi

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Φ₂₂₀₀₀₁(10) = 9000000000..._<208404> = 219120997 × 46658368242529_<14> × [8802964850..._<208382>] (0.01%)

Φ₂₂₀₀₀₂(10) = 9100000000..._<71280> = 440837587579_<12> × 897653236429783_<15> × [2299609923..._<71254>] (0.04%)

Φ₂₂₀₀₀₃(10) = 1111110999..._<184705> = [1111110999..._<184705>] (0.00%)

Φ₂₂₀₀₀₄(10) = 9900990099..._<110000> = 440009 × 888816161 × [2531658508..._<109986>] (0.01%)

Φ₂₂₀₀₀₅(10) = 1001000999..._<117313> = [1001000999..._<117313>] (0.00%)

Φ₂₂₀₀₀₆(10) = 1099999999..._<107281> = 47741303 × [2304084578..._<107273>] (0.01%)

Φ₂₂₀₀₀₇(10) = 1111111111..._<207001> = 8360267 × [1329037829..._<206994>] (0.00%)

Φ₂₂₀₀₀₈(10) = 9999000100..._<71808> = [9999000100..._<71808>] (0.00%)

Φ₂₂₀₀₀₉(10) = 1111111111..._<220009> = 9030049397_<10> × [1230459615..._<219999>] (0.00%)

Φ₂₂₀₀₁₀(10) = 9999999000..._<75264> = 123425611 × 5343602881_<10> × [1516213975..._<75247>] (0.02%)

Φ₂₂₀₀₁₁(10) = 9009009009..._<129920> = 213410671 × 36183193116728016283_<20> × [1166686035..._<129893>] (0.02%)

Φ₂₂₀₀₁₂(10) = 1009999999..._<101521> = [1009999999..._<101521>] (0.00%)

Φ₂₂₀₀₁₃(10) = 1111111111..._<220013> = 1276955453_<10> × [8701251938..._<220003>] (0.00%)

Φ₂₂₀₀₁₄(10) = 9990010000..._<68928> = 413417966743_<12> × [2416443116..._<68917>] (0.02%)

Φ₂₂₀₀₁₅(10) = 1111099999..._<173473> = [1111099999..._<173473>] (0.00%)

Φ₂₂₀₀₁₆(10) = 9999999900..._<110000> = 74341206241_<11> × [1345148996..._<109990>] (0.01%)

Φ₂₂₀₀₁₇(10) = 1109999889..._<125713> = [1109999889..._<125713>] (0.00%)

Φ₂₂₀₀₁₈(10) = 1099999999..._<105205> = 220019 × [4999568219..._<105199>] (0.01%)

Φ₂₂₀₀₁₉(10) = 1111111111..._<220019> = 440039 × 942561397 × [2678901049..._<220004>] (0.01%)

Φ_220020L(10) = 2555229612..._<27649> = 66624285462661_<14> × [3835282577..._<27635>] (0.05%)

Φ_220020M(10) = 3952674096..._<27648> = [3952674096..._<27648>] (0.00%)

Φ₂₂₀₀₂₁(10) = 1111111111..._<220021> = 14521387 × [7651549477..._<220013>] (0.00%)

Φ₂₂₀₀₂₂(10) = 9090909091..._<97920> = 524506102345699_<15> × [1733232282..._<97906>] (0.02%)

Φ₂₂₀₀₂₃(10) = 1000000001..._<141121> = [1000000001..._<141121>] (0.00%)

Φ₂₂₀₀₂₄(10) = 1000099999..._<94273> = [1000099999..._<94273>] (0.00%)

Φ₂₂₀₀₂₅(10) = 1000010000..._<162241> = 26140290151_<11> × [3825550498..._<162230>] (0.01%)

Φ₂₂₀₀₂₆(10) = 1098901098..._<73341> = 27943303 × 321678013 × [1222529901..._<73325>] (0.02%)

Φ₂₂₀₀₂₇(10) = 9000000000..._<216360> = 62678651437_<11> × 530970476563_<12> × [2704285202..._<216338>] (0.01%)

Φ₂₂₀₀₂₈(10) = 1009999999..._<108241> = 1111770900109_<13> × [9084605469..._<108228>] (0.01%)

Φ₂₂₀₀₂₉(10) = 1109999999..._<144481> = 9681277 × 164581693 × [6966406410..._<144465>] (0.01%)

Φ₂₂₀₀₃₀(10) = 1099989000..._<88009> = [1099989000..._<88009>] (0.00%)

Φ₂₂₀₀₃₁(10) = 1000000000..._<173377> = [1000000000..._<173377>] (0.00%)

Φ₂₂₀₀₃₂(10) = 1000000000..._<72961> = 660097 × 135099649 × 39737652461569_<14> × [2821862272..._<72933>] (0.04%)

Φ₂₂₀₀₃₃(10) = 1111111111..._<196801> = 880133 × 1320199 × [9562463406..._<196788>] (0.01%)

Φ₂₂₀₀₃₄(10) = 9090909090..._<110016> = [9090909090..._<110016>] (0.00%)

Φ₂₂₀₀₃₅(10) = 1109988900..._<117345> = 35645671 × 154904641 × 1739596711_<10> × [1155576852..._<117320>] (0.02%)

Φ₂₂₀₀₃₆(10) = 9900990099..._<110016> = 6601081 × 94329433201_<11> × [1590070350..._<109999>] (0.02%)

Φ₂₂₀₀₃₇(10) = 9000000000..._<218316> = 17602961 × [5112776197..._<218309>] (0.00%)

Φ₂₂₀₀₃₈(10) = 1000000000..._<56161> = [1000000000..._<56161>] (0.00%)

Φ₂₂₀₀₃₉(10) = 1111111111..._<202177> = [1111111111..._<202177>] (0.00%)

Φ₂₂₀₀₄₀(10) = 1000099999..._<88001> = [1000099999..._<88001>] (0.00%)

Φ₂₂₀₀₄₁(10) = 1001000999..._<140185> = [1001000999..._<140185>] (0.00%)

Φ₂₂₀₀₄₂(10) = 1099999999..._<109345> = 12762437 × [8619043525..._<109337>] (0.01%)

Φ₂₂₀₀₄₃(10) = 9000000000..._<219000> = 29946532043_<11> × [3005356342..._<218990>] (0.00%)

Φ₂₂₀₀₄₄(10) = 9901000000..._<66640> = 1453390621_<10> × [6812346149..._<66631>] (0.01%)

Φ₂₂₀₀₄₅(10) = 1111099888..._<150865> = 1756555862041_<13> × 5087253801841_<13> × [1243391039..._<150840>] (0.02%)

Φ₂₂₀₀₄₆(10) = 9090909090..._<110022> = [9090909090..._<110022>] (0.00%)

Φ₂₂₀₀₄₇(10) = 1109999999..._<143041> = 11105331997_<11> × [9995198705..._<143030>] (0.01%)

Φ₂₂₀₀₄₈(10) = 1000000009..._<103425> = [1000000009..._<103425>] (0.00%)

Φ₂₂₀₀₄₉(10) = 9000000000..._<218736> = 50006737744163_<14> × [1799757473..._<218723>] (0.01%)

Φ₂₂₀₀₅₀(10) = 9999999999..._<58320> = 614599651 × [1627075443..._<58312>] (0.02%)

Φ₂₂₀₀₅₁(10) = 9000000000..._<203112> = 1320307 × [6816596443..._<203106>] (0.00%)

Φ₂₂₀₀₅₂(10) = 9900990099..._<90720> = 113326781 × [8736672842..._<90712>] (0.01%)

Φ₂₂₀₀₅₃(10) = 9009009009..._<146700> = [9009009009..._<146700>] (0.00%)

Φ₂₂₀₀₅₄(10) = 1099999999..._<107641> = 50392367 × [2182870274..._<107633>] (0.01%)

Φ₂₂₀₀₅₅(10) = 1111099999..._<160001> = [1111099999..._<160001>] (0.00%)

Φ₂₂₀₀₅₆(10) = 9999000100..._<71552> = 220057 × 69449233489_<11> × [6542653610..._<71536>] (0.02%)

Φ₂₂₀₀₅₇(10) = 1111111111..._<220057> = [1111111111..._<220057>] (0.00%)

Φ₂₂₀₀₅₈(10) = 1099999999..._<104221> = [1099999999..._<104221>] (0.00%)

Φ₂₂₀₀₅₉(10) = 1000000000..._<125497> = 7562107477_<10> × [1322382686..._<125487>] (0.01%)

Φ_220060L(10) = 2824060999..._<44009> = 466747261 × [6050514348..._<44000>] (0.02%)

Φ_220060M(10) = 3576409999..._<44008> = 6213614161_<10> × 11785735595141_<14> × [4883670165..._<43985>] (0.05%)

Φ₂₂₀₀₆₁(10) = 9000000000..._<219072> = 7922197 × 1084460609_<10> × [1047570089..._<219057>] (0.01%)

Φ₂₂₀₀₆₂(10) = 1098901098..._<73353> = 220063 × 4713507979_<10> × 979637021743_<12> × [1081439286..._<73326>] (0.04%)

Φ₂₂₀₀₆₃(10) = 1111111111..._<220063> = [1111111111..._<220063>] (0.00%)

Φ₂₂₀₀₆₄(10) = 1000000000..._<97153> = 167614606433_<12> × 130425157469569_<15> × [4574322379..._<97127>] (0.03%)

Φ₂₂₀₀₆₅(10) = 9009099100..._<110336> = [9009099100..._<110336>] (0.00%)

Φ₂₂₀₀₆₆(10) = 9090910000..._<85680> = [9090910000..._<85680>] (0.00%)

Φ₂₂₀₀₆₇(10) = 9000000000..._<219096> = 7017056363_<10> × [1282589099..._<219087>] (0.00%)

Φ₂₂₀₀₆₈(10) = 1000000999..._<73345> = 9671226284449_<13> × [1033996073..._<73332>] (0.02%)

Φ₂₂₀₀₆₉(10) = 9999999999..._<212040> = 393483373 × [2541403445..._<212032>] (0.00%)

Φ₂₂₀₀₇₀(10) = 9091000000..._<86304> = 901186651 × 5867726411_<10> × [1719202569..._<86286>] (0.02%)

Φ₂₂₀₀₇₁(10) = 1109999999..._<145153> = 1760569 × 169014529 × [3730318282..._<145138>] (0.01%)

Φ₂₂₀₀₇₂(10) = 9999000099..._<110032> = 15405041 × 27288929 × 241137511913_<12> × 268000226469601_<15> × [3680503934..._<109992>] (0.04%)

Φ₂₂₀₀₇₃(10) = 1111110999..._<186481> = 182660591 × [6082926776..._<186472>] (0.00%)

Φ₂₂₀₀₇₄(10) = 9100000000..._<71568> = 183541717 × 1562258010091_<13> × [3173612091..._<71548>] (0.03%)

Φ₂₂₀₀₇₅(10) = 9999900000..._<176040> = 469280887601_<12> × [2130898628..._<176029>] (0.01%)

Φ₂₂₀₀₇₆(10) = 1009999999..._<106993> = 1760609 × 4021888901_<10> × 9278403059621_<13> × [1537287698..._<106964>] (0.03%)

Φ₂₂₀₀₇₇(10) = 9999999999..._<116640> = [9999999999..._<116640>] (0.00%)

Φ₂₂₀₀₇₈(10) = 9090909090..._<110038> = 28961371283321_<14> × [3138977433..._<110025>] (0.01%)

Φ₂₂₀₀₇₉(10) = 9000000000..._<217800> = 440159 × 321297733681_<12> × [6363928049..._<217783>] (0.01%)

Φ₂₂₀₀₈₀(10) = 1000000009..._<49921> = [1000000009..._<49921>] (0.00%)

Φ₂₂₀₀₈₁(10) = 9000000000..._<212464> = 2640973 × 1460457517_<10> × [2333402290..._<212449>] (0.01%)

Φ₂₂₀₀₈₂(10) = 1099999999..._<103553> = 122805757 × [8957234798..._<103544>] (0.01%)

Φ₂₂₀₀₈₃(10) = 9009009009..._<146720> = [9009009009..._<146720>] (0.00%)

Φ₂₂₀₀₈₄(10) = 9900990099..._<110040> = 1617617401_<10> × [6120724278..._<110031>] (0.01%)

Φ₂₂₀₀₈₅(10) = 9000090000..._<176064> = [9000090000..._<176064>] (0.00%)

Φ₂₂₀₀₈₆(10) = 1000999998..._<73357> = [1000999998..._<73357>] (0.00%)

Φ₂₂₀₀₈₇(10) = 1111110999..._<180313> = 7656386557_<10> × [1451221136..._<180303>] (0.01%)

Φ₂₂₀₀₈₈(10) = 9999000099..._<96000> = [9999000099..._<96000>] (0.00%)

Φ₂₂₀₀₈₉(10) = 9009009009..._<146724> = 6162493 × 658066111 × 3800496853_<10> × [5845352133..._<146699>] (0.02%)

Φ₂₂₀₀₉₀(10) = 9091000000..._<81216> = [9091000000..._<81216>] (0.00%)

Φ₂₂₀₀₉₁(10) = 9000000000..._<218232> = [9000000000..._<218232>] (0.00%)

Φ₂₂₀₀₉₂(10) = 1009998990..._<73361> = [1009998990..._<73361>] (0.00%)

Φ₂₂₀₀₉₃(10) = 9000000000..._<217728> = 13400582399_<11> × 38928729283_<11> × 113624331809_<12> × [1518368781..._<217697>] (0.01%)

Φ₂₂₀₀₉₄(10) = 9090910000..._<92664> = 60750345881_<11> × [1496437570..._<92654>] (0.01%)

Φ₂₂₀₀₉₅(10) = 9990000009..._<114048> = 8803801 × [1134737144..._<114042>] (0.01%)

Φ₂₂₀₀₉₆(10) = 1000000000..._<103681> = 66028801 × [1514490623..._<103673>] (0.01%)

Φ₂₂₀₀₉₇(10) = 9000000000..._<217536> = 22890089 × [3931832680..._<217529>] (0.00%)

Φ₂₂₀₀₉₈(10) = 1098901098..._<73365> = [1098901098..._<73365>] (0.00%)

Φ₂₂₀₀₉₉(10) = 1000000000..._<186561> = 21597884356357_<14> × [4630083129..._<186547>] (0.01%)

Φ_220100L(10) = 9900498006..._<42000> = 679448701 × 602371220701_<12> × [2419001588..._<41980>] (0.05%)

Φ_220100M(10) = 1010050200..._<42001> = 902586300101_<12> × [1119062188..._<41989>] (0.03%)

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