Factorization of cyclotomic number Phi

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Φ₁₇₈₇₀₁(10) = 9009009009..._<119132> = 3729287937871_<13> × [2415745085..._<119120>] (0.01%)

Φ₁₇₈₇₀₂(10) = 1099999999..._<88705> = [1099999999..._<88705>] (0.00%)

Φ₁₇₈₇₀₃(10) = 9999999999..._<152880> = 15133284853_<11> × [6607950684..._<152870>] (0.01%)

Φ₁₇₈₇₀₄(10) = 9999999999..._<55296> = 1608337 × 37885249 × [1641167095..._<55283>] (0.02%)

Φ₁₇₈₇₀₅(10) = 1111099999..._<141169> = 33953951 × 68915675752831_<14> × [4748372827..._<141147>] (0.02%)

Φ₁₇₈₇₀₆(10) = 1099999999..._<81221> = 18199419041_<11> × [6044148978..._<81210>] (0.01%)

Φ₁₇₈₇₀₇(10) = 1109999999..._<117321> = 11437249 × 14296561 × 47893477 × [1417403345..._<117299>] (0.02%)

Φ₁₇₈₇₀₈(10) = 1009999999..._<87193> = 3276789889_<10> × [3082284901..._<87183>] (0.01%)

Φ₁₇₈₇₀₉(10) = 9000000000..._<177504> = 1383904982519_<13> × [6503336655..._<177492>] (0.01%)

Φ₁₇₈₇₁₀(10) = 9100091910..._<38016> = [9100091910..._<38016>] (0.00%)

Φ₁₇₈₇₁₁(10) = 1111111111..._<161473> = 22517587 × [4934414647..._<161465>] (0.00%)

Φ₁₇₈₇₁₂(10) = 1000099999..._<88001> = 5897497 × 3326545169_<10> × [5097793906..._<87984>] (0.02%)

Φ₁₇₈₇₁₃(10) = 9999999990..._<119124> = 714853 × 352765879813_<12> × 2265104352169_<13> × [1750686844..._<119095>] (0.02%)

Φ₁₇₈₇₁₄(10) = 1099999999..._<84637> = 326592150299_<12> × [3368115244..._<84625>] (0.01%)

Φ₁₇₈₇₁₅(10) = 1111099999..._<138241> = 357431 × [3108572004..._<138235>] (0.00%)

Φ₁₇₈₇₁₆(10) = 9901000000..._<58240> = 536149 × [1846688140..._<58235>] (0.01%)

Φ₁₇₈₇₁₇(10) = 1000000000..._<138601> = [1000000000..._<138601>] (0.00%)

Φ₁₇₈₇₁₈(10) = 1099999999..._<88705> = [1099999999..._<88705>] (0.00%)

Φ₁₇₈₇₁₉(10) = 1109999999..._<116161> = 426780973 × [2600865713..._<116152>] (0.01%)

Φ₁₇₈₇₂₀(10) = 1000000000..._<71425> = 4469303941121_<13> × [2237484881..._<71412>] (0.02%)

Φ₁₇₈₇₂₁(10) = 9000000000..._<168192> = [9000000000..._<168192>] (0.00%)

Φ₁₇₈₇₂₂(10) = 1000999998..._<59569> = 7685047 × 895880663011_<12> × [1453909540..._<59550>] (0.03%)

Φ₁₇₈₇₂₃(10) = 9000000000..._<177840> = 37043888329213_<14> × [2429550569..._<177827>] (0.01%)

Φ₁₇₈₇₂₄(10) = 9900990099..._<70560> = 8170159446541_<13> × [1211847842..._<70548>] (0.02%)

Φ₁₇₈₇₂₅(10) = 1000010000..._<95281> = 2502151 × [3996601324..._<95274>] (0.01%)

Φ₁₇₈₇₂₆(10) = 9090909090..._<89362> = [9090909090..._<89362>] (0.00%)

Φ₁₇₈₇₂₇(10) = 9000000000..._<172536> = 1885212397_<10> × 23734945601_<11> × 961585933039_<12> × [2091731228..._<172505>] (0.02%)

Φ₁₇₈₇₂₈(10) = 9999000100..._<54080> = 1629463177_<10> × [6136376839..._<54071>] (0.02%)

Φ₁₇₈₇₂₉(10) = 9000000000..._<177876> = [9000000000..._<177876>] (0.00%)

Φ₁₇₈₇₃₀(10) = 9091000000..._<70080> = [9091000000..._<70080>] (0.00%)

Φ₁₇₈₇₃₁(10) = 1001000999..._<102097> = 598095052003_<12> × [1673648689..._<102085>] (0.01%)

Φ₁₇₈₇₃₂(10) = 9900990099..._<89364> = 144772921 × 65774216167299721_<17> × [1039765990..._<89340>] (0.03%)

Φ₁₇₈₇₃₃(10) = 1111111111..._<161569> = [1111111111..._<161569>] (0.00%)

Φ₁₇₈₇₃₄(10) = 1098901098..._<59577> = 34316929 × 673290979 × [4756060777..._<59560>] (0.03%)

Φ₁₇₈₇₃₅(10) = 9000090000..._<142984> = [9000090000..._<142984>] (0.00%)

Φ₁₇₈₇₃₆(10) = 9999999900..._<89360> = 3574721 × 1124428177_<10> × [2487861068..._<89345>] (0.02%)

Φ₁₇₈₇₃₇(10) = 1109999999..._<109969> = 194696831748043_<15> × [5701171354..._<109954>] (0.01%)

Φ₁₇₈₇₃₈(10) = 9090910000..._<72000> = [9090910000..._<72000>] (0.00%)

Φ₁₇₈₇₃₉(10) = 9000000000..._<162480> = 62201173 × 109745747 × 1343759803_<10> × [9811481520..._<162455>] (0.02%)

Φ_178740L(10) = 1000100005..._<23761> = [1000100005..._<23761>] (0.00%)

Φ_178740M(10) = 9999000049..._<23760> = 1995989581_<10> × 121003583941_<12> × 94016065141981_<14> × 116837229690463663656070921_<27> × [3768918491..._<23700>] (0.25%)

Φ₁₇₈₇₄₁(10) = 9000000000..._<174892> = 587700409 × 10968977689_<11> × [1396112332..._<174874>] (0.01%)

Φ₁₇₈₇₄₂(10) = 9090909090..._<89370> = 3942869779_<10> × [2305657959..._<89361>] (0.01%)

Φ₁₇₈₇₄₃(10) = 9009009009..._<119160> = 4647319 × 729271441 × [2658185780..._<119145>] (0.01%)

Φ₁₇₈₇₄₄(10) = 9999000099..._<89368> = 536233 × 1608697 × 5712658241_<10> × 122286277649_<12> × 13062625108118881_<17> × [1270229960..._<89320>] (0.05%)

Φ₁₇₈₇₄₅(10) = 1111099888..._<122545> = 1072471 × 8579761 × 24959951801_<11> × 3415865568641_<13> × [1416275829..._<122509>] (0.03%)

Φ₁₇₈₇₄₆(10) = 1000000000..._<57661> = [1000000000..._<57661>] (0.00%)

Φ₁₇₈₇₄₇(10) = 9000000000..._<173880> = 133702757 × [6731349601..._<173872>] (0.00%)

Φ₁₇₈₇₄₈(10) = 9900990099..._<89372> = 331756289 × [2984416702..._<89364>] (0.01%)

Φ₁₇₈₇₄₉(10) = 9990000009..._<119160> = [9990000009..._<119160>] (0.00%)

Φ₁₇₈₇₅₀(10) = 9999999999..._<60000> = 14936171251_<11> × 84461035230001_<14> × [7926917082..._<59976>] (0.04%)

Φ₁₇₈₇₅₁(10) = 9000000000..._<174552> = 3086611135159_<13> × [2915819196..._<174540>] (0.01%)

Φ₁₇₈₇₅₂(10) = 9999999999..._<48384> = 178753 × 82275970561_<11> × [6799447840..._<48368>] (0.03%)

Φ₁₇₈₇₅₃(10) = 1111111111..._<178753> = 7507627 × 86873959 × 2982315053_<10> × 27483273751_<11> × 528718700811649_<15> × [3931140206..._<178703>] (0.03%)

Φ₁₇₈₇₅₄(10) = 1099999999..._<88597> = 49693613 × 358596703739557_<15> × [6172851346..._<88574>] (0.03%)

Φ₁₇₈₇₅₅(10) = 9009099100..._<89600> = 490503721 × [1836703518..._<89592>] (0.01%)

Φ₁₇₈₇₅₆(10) = 9900990099..._<81312> = 178756001 × 14527426830041_<14> × [3812670719..._<81291>] (0.03%)

Φ₁₇₈₇₅₇(10) = 1111111111..._<178757> = [1111111111..._<178757>] (0.00%)

Φ₁₇₈₇₅₈(10) = 1000999998..._<59581> = 3038887 × 38906857459_<11> × 2127982066597_<13> × [3978555385..._<59551>] (0.05%)

Φ₁₇₈₇₅₉(10) = 9000000900..._<153216> = 21451081 × [4195593173..._<153209>] (0.00%)

Φ₁₇₈₇₆₀(10) = 9999000099..._<69120> = 184480321 × 230600401 × [2350425384..._<69104>] (0.02%)

Φ₁₇₈₇₆₁(10) = 1109999999..._<108321> = 7507963 × 40102217724427_<14> × [3686654716..._<108300>] (0.02%)

Φ₁₇₈₇₆₂(10) = 9090909090..._<89380> = [9090909090..._<89380>] (0.00%)

Φ₁₇₈₇₆₃(10) = 9000000000..._<165000> = 317637896759_<12> × [2833415059..._<164989>] (0.01%)

Φ₁₇₈₇₆₄(10) = 1009998990..._<59585> = [1009998990..._<59585>] (0.00%)

Φ₁₇₈₇₆₅(10) = 9000090000..._<143008> = 3643276106311_<13> × [2470328829..._<142996>] (0.01%)

Φ₁₇₈₇₆₆(10) = 1000000000..._<75937> = 93137087 × 7531054049_<10> × [1425678449..._<75919>] (0.02%)

Φ₁₇₈₇₆₇(10) = 9999999999..._<119124> = [9999999999..._<119124>] (0.00%)

Φ₁₇₈₇₆₈(10) = 9999999900..._<89376> = 2860289 × 359323681 × 1693730086513_<13> × [5744603222..._<89349>] (0.03%)

Φ₁₇₈₇₆₉(10) = 9000000000..._<175344> = 1464118111_<10> × [6147045058..._<175335>] (0.01%)

Φ₁₇₈₇₇₀(10) = 1098890109..._<46401> = 8759731 × 2562203173996018321_<19> × [4896096062..._<46375>] (0.05%)

Φ₁₇₈₇₇₁(10) = 9999999999..._<167616> = 1072627 × 2552849881_<10> × [3651959883..._<167601>] (0.01%)

Φ₁₇₈₇₇₂(10) = 9900990099..._<76160> = 52558969 × [1883786970..._<76153>] (0.01%)

Φ₁₇₈₇₇₃(10) = 1109999889..._<102145> = 20380123 × 43978159 × [1238451745..._<102130>] (0.01%)

Φ₁₇₈₇₇₄(10) = 9090909090..._<89386> = 3131047837_<10> × 3152500717_<10> × [9210059118..._<89367>] (0.02%)

Φ₁₇₈₇₇₅(10) = 9999900000..._<143000> = [9999900000..._<143000>] (0.00%)

Φ₁₇₈₇₇₆(10) = 9999999999..._<54720> = 455521249 × [2195287271..._<54712>] (0.02%)

Φ₁₇₈₇₇₇(10) = 1111111111..._<168481> = [1111111111..._<168481>] (0.00%)

Φ₁₇₈₇₇₈(10) = 1099999999..._<88061> = 15553687 × [7072278103..._<88053>] (0.01%)

Φ₁₇₈₇₇₉(10) = 1109999999..._<113961> = 11407887991_<11> × 162431090683_<12> × 1179348568837_<13> × [5079329485..._<113927>] (0.03%)

Φ_178780L(10) = 2798897498..._<30625> = 8223881 × 1140795181_<10> × 3362639588141_<13> × 5775589515241709521_<19> × [1536122525..._<30578>] (0.15%)

Φ_178780M(10) = 3537460769..._<30624> = 237241061 × 4009735228381_<13> × [3718656627..._<30603>] (0.07%)

Φ₁₇₈₇₈₁(10) = 1111111111..._<178781> = 357563 × [3107455500..._<178775>] (0.00%)

Φ₁₇₈₇₈₂(10) = 9100000000..._<58712> = [9100000000..._<58712>] (0.00%)

Φ₁₇₈₇₈₃(10) = 9000000000..._<162520> = 409770637 × 719780359 × [3051417853..._<162503>] (0.01%)

Φ₁₇₈₇₈₄(10) = 1000000000..._<86401> = 536353 × 560982763992737_<15> × [3323531260..._<86380>] (0.02%)

Φ₁₇₈₇₈₅(10) = 9990000009..._<91392> = 5680757498401_<13> × [1758568291..._<91380>] (0.01%)

Φ₁₇₈₇₈₆(10) = 9090909090..._<89392> = 13617593263_<11> × [6675855942..._<89382>] (0.01%)

Φ₁₇₈₇₈₇(10) = 9000000900..._<153240> = [9000000900..._<153240>] (0.00%)

Φ₁₇₈₇₈₈(10) = 9901000000..._<58144> = [9901000000..._<58144>] (0.00%)

Φ₁₇₈₇₈₉(10) = 1111111111..._<155137> = 221698361 × 428727440129_<12> × 1857371338759_<13> × [6293829702..._<155104>] (0.02%)

Φ₁₇₈₇₉₀(10) = 9091000000..._<67680> = 19309321 × [4708088906..._<67673>] (0.01%)

Φ₁₇₈₇₉₁(10) = 1109999999..._<117121> = [1109999999..._<117121>] (0.00%)

Φ₁₇₈₇₉₂(10) = 9999000099..._<89392> = 178793 × [5592500880..._<89387>] (0.01%)

Φ₁₇₈₇₉₃(10) = 1111111111..._<178793> = 357587 × [3107246938..._<178787>] (0.00%)

Φ₁₇₈₇₉₄(10) = 1000000000..._<45361> = [1000000000..._<45361>] (0.00%)

Φ₁₇₈₇₉₅(10) = 9000090000..._<143032> = [9000090000..._<143032>] (0.00%)

Φ₁₇₈₇₉₆(10) = 9900990099..._<89396> = 8958215989_<10> × [1105241279..._<89387>] (0.01%)

Φ₁₇₈₇₉₇(10) = 1109999999..._<117873> = 119078803 × 10945594747_<11> × [8516264742..._<117854>] (0.02%)

Φ₁₇₈₇₉₈(10) = 9090909090..._<89398> = 28607681 × [3177786095..._<89391>] (0.01%)

Φ₁₇₈₇₉₉(10) = 1111111111..._<178799> = 164300546689_<12> × [6762674461..._<178787>] (0.01%)

Φ₁₇₈₈₀₀(10) = 9999999999..._<47360> = 2744595443558556001_<19> × [3643524229..._<47342>] (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