Factorization of cyclotomic number Phi

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Φ₁₀₆₇₀₁(10) = 1109999889..._<60961> = 68915063431831_<14> × [1610678179..._<60947>] (0.02%)

Φ₁₀₆₇₀₂(10) = 1099999999..._<51601> = 106703 × 11152786562747486167813_<23> × [9243419519..._<51573>] (0.05%)

Φ₁₀₆₇₀₃(10) = 1111111111..._<106703> = [1111111111..._<106703>] (0.00%)

Φ₁₀₆₇₀₄(10) = 9999999999..._<31104> = 14084929 × 908264449 × [7816872393..._<31088>] (0.05%)

Φ₁₀₆₇₀₅(10) = 9000090000..._<85360> = 127832591 × [7040528499..._<85352>] (0.01%)

Φ₁₀₆₇₀₆(10) = 9090909090..._<53352> = 2898668491_<10> × 384007683971_<12> × 11927925260319331_<17> × [6847056968..._<53315>] (0.07%)

Φ₁₀₆₇₀₇(10) = 9009009009..._<71136> = 2899229191_<10> × 16967590618453_<14> × [1831362407..._<71114>] (0.03%)

Φ₁₀₆₇₀₈(10) = 9900990099..._<44064> = 47058229 × [2103986977..._<44057>] (0.02%)

Φ₁₀₆₇₀₉(10) = 9000000000..._<100416> = 11601402481_<11> × [7757682758..._<100406>] (0.01%)

Φ₁₀₆₇₁₀(10) = 9100090999..._<28448> = [9100090999..._<28448>] (0.00%)

Φ₁₀₆₇₁₁(10) = 1111111111..._<95041> = [1111111111..._<95041>] (0.00%)

Φ₁₀₆₇₁₂(10) = 9999000099..._<53352> = 2134241 × 316187657 × 41026765928209_<14> × [3611610591..._<53324>] (0.05%)

Φ₁₀₆₇₁₃(10) = 1001000999..._<69721> = 3201391 × 9177319 × [3407061427..._<69707>] (0.02%)

Φ₁₀₆₇₁₄(10) = 1099999999..._<52897> = [1099999999..._<52897>] (0.00%)

Φ₁₀₆₇₁₅(10) = 1111099888..._<73153> = 624302598991_<12> × [1779745736..._<73141>] (0.02%)

Φ₁₀₆₇₁₆(10) = 1009998990..._<35569> = 6189529 × 4386669281707261_<16> × [3719875835..._<35546>] (0.06%)

Φ₁₀₆₇₁₇(10) = 9000000000..._<98496> = 147909763 × [6084791035..._<98488>] (0.01%)

Φ₁₀₆₇₁₈(10) = 9090909090..._<53358> = 7056146670491_<13> × [1288367364..._<53346>] (0.02%)

Φ₁₀₆₇₁₉(10) = 9009009009..._<71144> = 840732283 × [1071566917..._<71136>] (0.01%)

Φ₁₀₆₇₂₀(10) = 9999999999..._<39424> = 474263681 × 2203981441_<10> × 4788304635841_<13> × [1997976732..._<39394>] (0.08%)

Φ₁₀₆₇₂₁(10) = 1111111111..._<106721> = 119314079 × 567542279 × [1640845073..._<106704>] (0.02%)

Φ₁₀₆₇₂₂(10) = 9999999999..._<27720> = 3897487441_<10> × [2565755541..._<27711>] (0.03%)

Φ₁₀₆₇₂₃(10) = 1111111111..._<97921> = [1111111111..._<97921>] (0.00%)

Φ₁₀₆₇₂₄(10) = 9900990099..._<53360> = 213449 × 3735341 × 4482409 × 1164824006797903141_<19> × 357973937656476985429_<21> × [6644021723..._<53303>] (0.11%)

Φ₁₀₆₇₂₅(10) = 1000010000..._<56881> = 53370184201_<11> × [1873724093..._<56870>] (0.02%)

Φ₁₀₆₇₂₆(10) = 9090909090..._<48384> = 106727 × 294030131 × [2896951173..._<48371>] (0.03%)

Φ₁₀₆₇₂₇(10) = 1111111111..._<106727> = 640363 × 181384030679_<12> × 36338250577133_<14> × 177056480819775559_<18> × [1486813063..._<106679>] (0.04%)

Φ₁₀₆₇₂₈(10) = 1000099999..._<35569> = 640369 × 28816561 × [5419646709..._<35555>] (0.04%)

Φ₁₀₆₇₂₉(10) = 1111110999..._<89857> = 426917 × [2602639388..._<89851>] (0.01%)

Φ₁₀₆₇₃₀(10) = 9091000000..._<39360> = [9091000000..._<39360>] (0.00%)

Φ₁₀₆₇₃₁(10) = 1000000001..._<68905> = 13448107 × [7435990812..._<68897>] (0.01%)

Φ₁₀₆₇₃₂(10) = 9900990099..._<53364> = [9900990099..._<53364>] (0.00%)

Φ₁₀₆₇₃₃(10) = 1111111111..._<93601> = 213467 × [5205072030..._<93595>] (0.01%)

Φ₁₀₆₇₃₄(10) = 1098901098..._<35577> = 54861277 × [2003054174..._<35569>] (0.02%)

Φ₁₀₆₇₃₅(10) = 9000090000..._<85384> = [9000090000..._<85384>] (0.00%)

Φ₁₀₆₇₃₆(10) = 1000000009..._<45697> = 853889 × 1102369409_<10> × [1062359320..._<45682>] (0.03%)

Φ₁₀₆₇₃₇(10) = 1109999999..._<69553> = 215715973753999_<15> × [5145655097..._<69538>] (0.02%)

Φ₁₀₆₇₃₈(10) = 1099999999..._<52645> = 106739 × 121040893 × [8514074309..._<52631>] (0.02%)

Φ₁₀₆₇₃₉(10) = 1111111111..._<106739> = 414360799 × [2681506343..._<106730>] (0.01%)

Φ_106740L(10) = 1105096689..._<14209> = 176674614957902775781_<21> × [6254982868..._<14188>] (0.14%)

Φ_106740M(10) = 9048972901..._<14208> = [9048972901..._<14208>] (0.00%)

Φ₁₀₆₇₄₁(10) = 9000000000..._<105952> = 2854894787_<10> × 91231303979441359_<17> × [3455481081..._<105926>] (0.02%)

Φ₁₀₆₇₄₂(10) = 1000000000..._<49609> = [1000000000..._<49609>] (0.00%)

Φ₁₀₆₇₄₃(10) = 1109999888..._<50689> = 1522368667_<10> × [7291268620..._<50679>] (0.02%)

Φ₁₀₆₇₄₄(10) = 1000099999..._<48481> = 103001776533569_<15> × [9709541268..._<48466>] (0.03%)

Φ₁₀₆₇₄₅(10) = 1111099999..._<82945> = 1819575271_<10> × 52443782420191_<14> × [1164364926..._<82922>] (0.03%)

Φ₁₀₆₇₄₆(10) = 1098901098..._<35581> = 3049519729_<10> × [3603521854..._<35571>] (0.03%)

Φ₁₀₆₇₄₇(10) = 1111111111..._<106747> = 371266067 × [2992762360..._<106738>] (0.01%)

Φ₁₀₆₇₄₈(10) = 9900990099..._<53372> = 21456349 × 7697598281_<10> × 555856050641_<12> × 35785874716282771309_<20> × [3013655355..._<53324>] (0.09%)

Φ₁₀₆₇₄₉(10) = 1001000999..._<68545> = 4269961 × 4696957 × 2169519706441_<13> × [2300543339..._<68519>] (0.04%)

Φ₁₀₆₇₅₀(10) = 9999999999..._<36000> = [9999999999..._<36000>] (0.00%)

Φ₁₀₆₇₅₁(10) = 1111111111..._<106751> = [1111111111..._<106751>] (0.00%)

Φ₁₀₆₇₅₂(10) = 1000000000..._<35329> = 106753 × [9367418245..._<35323>] (0.01%)

Φ₁₀₆₇₅₃(10) = 1111111111..._<106753> = 427013 × 26901757 × 81132281 × 944123533 × [1262737968..._<106723>] (0.03%)

Φ₁₀₆₇₅₄(10) = 9090909090..._<53376> = 13514949647_<11> × 36868454687_<11> × 21841029847331_<14> × [8353429961..._<53342>] (0.06%)

Φ₁₀₆₇₅₅(10) = 9009099100..._<51680> = 84604618561_<11> × [1064847197..._<51670>] (0.02%)

Φ₁₀₆₇₅₆(10) = 1009999999..._<49249> = 121701841 × [8298970596..._<49240>] (0.02%)

Φ₁₀₆₇₅₇(10) = 1111110999..._<90001> = [1111110999..._<90001>] (0.00%)

Φ₁₀₆₇₅₈(10) = 1000000000..._<35533> = 741114037 × [1349320010..._<35524>] (0.02%)

Φ₁₀₆₇₅₉(10) = 1111111111..._<106759> = 2988622267519277_<16> × [3717803762..._<106743>] (0.01%)

Φ₁₀₆₇₆₀(10) = 9999000099..._<39936> = 103130161 × 1978903361_<10> × 10597381081921_<14> × [4623253839..._<39906>] (0.08%)

Φ₁₀₆₇₆₁(10) = 1109999999..._<67393> = 213523 × [5198503205..._<67387>] (0.01%)

Φ₁₀₆₇₆₂(10) = 9090909090..._<53380> = 528133037413_<12> × [1721329370..._<53369>] (0.02%)

Φ₁₀₆₇₆₃(10) = 9000000000..._<106080> = 1281157 × 163366820867_<12> × [4300077648..._<106063>] (0.02%)

Φ₁₀₆₇₆₄(10) = 1009998990..._<28801> = 437281600433749_<15> × 8897202491983261_<16> × [2596009400..._<28770>] (0.11%)

Φ₁₀₆₇₆₅(10) = 1111099999..._<84241> = [1111099999..._<84241>] (0.00%)

Φ₁₀₆₇₆₆(10) = 9090909091..._<46200> = 10142771 × 41300078249_<11> × [2170200304..._<46183>] (0.04%)

Φ₁₀₆₇₆₇(10) = 9990000009..._<71172> = 27989609653_<11> × [3569181611..._<71162>] (0.01%)

Φ₁₀₆₇₆₈(10) = 9999999900..._<53376> = 747377 × 27908098031481496481_<20> × [4794353220..._<53351>] (0.05%)

Φ₁₀₆₇₆₉(10) = 1111111111..._<95761> = [1111111111..._<95761>] (0.00%)

Φ₁₀₆₇₇₀(10) = 9100090999..._<28464> = [9100090999..._<28464>] (0.00%)

Φ₁₀₆₇₇₁(10) = 9999999000..._<91476> = 18364613 × 796298119 × 1844448738511_<13> × 15199677403373_<14> × [2439166943..._<91435>] (0.05%)

Φ₁₀₆₇₇₂(10) = 9900990099..._<53384> = [9900990099..._<53384>] (0.00%)

Φ₁₀₆₇₇₃(10) = 9009009009..._<71180> = [9009009009..._<71180>] (0.00%)

Φ₁₀₆₇₇₄(10) = 1099999999..._<52921> = 13773847 × 18365129 × 46446691 × [9362431826..._<52898>] (0.04%)

Φ₁₀₆₇₇₅(10) = 9999900000..._<85400> = [9999900000..._<85400>] (0.00%)

Φ₁₀₆₇₇₆(10) = 1000000000..._<35569> = 376190747353_<12> × [2658225932..._<35557>] (0.03%)

Φ₁₀₆₇₇₇(10) = 1111111111..._<91201> = 4271081 × 230205573747293_<15> × 15443104098436169_<17> × [7317609826..._<91163>] (0.04%)

Φ₁₀₆₇₇₈(10) = 9090910000..._<44016> = 2883007 × [3153273647..._<44010>] (0.01%)

Φ₁₀₆₇₇₉(10) = 9009009009..._<71184> = 427117 × 2046692675683_<13> × [1030570076..._<71167>] (0.03%)

Φ_106780L(10) = 2796100002..._<20161> = [2796100002..._<20161>] (0.00%)

Φ_106780M(10) = 3540999996..._<20160> = 106781 × 83184946583885292486724441_<26> × [3986458070..._<20129>] (0.15%)

Φ₁₀₆₇₈₁(10) = 1111111111..._<106781> = 19042042169_<11> × 2205649671962573_<16> × [2645497980..._<106755>] (0.02%)

Φ₁₀₆₇₈₂(10) = 9999999999..._<31968> = 106783 × 2930602587149173_<16> × [3195515683..._<31948>] (0.06%)

Φ₁₀₆₇₈₃(10) = 1111111111..._<106783> = 1708529 × 503518636524815609_<18> × [1291574869..._<106759>] (0.02%)

Φ₁₀₆₇₈₄(10) = 1000000000..._<51521> = 121626977 × 2472148909121_<13> × [3325794881..._<51500>] (0.04%)

Φ₁₀₆₇₈₅(10) = 9999999990..._<48384> = 10251361 × 2458640051281_<13> × [3967560155..._<48365>] (0.04%)

Φ₁₀₆₇₈₆(10) = 1099999999..._<52789> = 1874378199421614531613_<22> × [5868612856..._<52767>] (0.04%)

Φ₁₀₆₇₈₇(10) = 1111111111..._<106787> = [1111111111..._<106787>] (0.00%)

Φ₁₀₆₇₈₈(10) = 9901000000..._<32320> = [9901000000..._<32320>] (0.00%)

Φ₁₀₆₇₈₉(10) = 9000000000..._<102124> = [9000000000..._<102124>] (0.00%)

Φ₁₀₆₇₉₀(10) = 9091000000..._<41760> = 5509693358801_<13> × [1650001081..._<41748>] (0.03%)

Φ₁₀₆₇₉₁(10) = 9009009009..._<71192> = 10892683 × 184534849 × [4481916513..._<71177>] (0.02%)

Φ₁₀₆₇₉₂(10) = 1000099999..._<45745> = [1000099999..._<45745>] (0.00%)

Φ₁₀₆₇₉₃(10) = 9000000000..._<106128> = 25843907 × [3482445591..._<106121>] (0.01%)

Φ₁₀₆₇₉₄(10) = 9990010000..._<33408> = 9514455478549597_<16> × 83899018594168489_<17> × [1251483430..._<33376>] (0.10%)

Φ₁₀₆₇₉₅(10) = 9000090000..._<74880> = [9000090000..._<74880>] (0.00%)

Φ₁₀₆₇₉₆(10) = 9900990099..._<53396> = 320389 × 1922329 × [1607582654..._<53385>] (0.02%)

Φ₁₀₆₇₉₇(10) = 1109999999..._<70273> = 313342399 × [3542450697..._<70264>] (0.01%)

Φ₁₀₆₇₉₈(10) = 1099999999..._<52537> = 1792284037_<10> × 8438014141610761_<16> × [7273536113..._<52511>] (0.05%)

Φ₁₀₆₇₉₉(10) = 9000000900..._<77760> = 213599 × 3417569 × 2598569615797_<13> × 4671912429493_<13> × [1015539911..._<77724>] (0.05%)

Φ₁₀₆₈₀₀(10) = 9999999999..._<28160> = [9999999999..._<28160>] (0.00%)

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