Factorization of cyclotomic number Phi

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

Φ₅₂₁₀₁(10) = 1001000999..._<29737> = [1001000999..._<29737>] (0.00%)

Φ₅₂₁₀₂(10) = 1099999999..._<25705> = 52103 × [2111202809..._<25700>] (0.02%)

Φ₅₂₁₀₃(10) = 1111111111..._<52103> = [1111111111..._<52103>] (0.00%)

Φ₅₂₁₀₄(10) = 9999000100..._<15936> = [9999000100..._<15936>] (0.00%)

Φ₅₂₁₀₅(10) = 1111099999..._<39169> = 6565231 × [1692400465..._<39162>] (0.02%)

Φ₅₂₁₀₆(10) = 9090909090..._<26052> = 3039864041_<10> × [2990564370..._<26043>] (0.04%)

Φ₅₂₁₀₇(10) = 1109999999..._<31561> = 3855919 × 6773911 × 1412308129_<10> × 109323341255173_<15> × [2752410682..._<31524>] (0.12%)

Φ₅₂₁₀₈(10) = 1009999999..._<22321> = 20843201 × 1572570719021_<13> × [3081390733..._<22301>] (0.09%)

Φ₅₂₁₀₉(10) = 9000000000..._<51516> = [9000000000..._<51516>] (0.00%)

Φ₅₂₁₁₀(10) = 9999999990..._<13824> = [9999999990..._<13824>] (0.00%)

Φ₅₂₁₁₁(10) = 9999999999..._<49200> = 492357026197_<12> × 1810719989627_<13> × 264070100248452317_<18> × [4247655960..._<49159>] (0.08%)

Φ₅₂₁₁₂(10) = 9999999900..._<26048> = 1042241 × 606137653393_<12> × [1582925876..._<26031>] (0.07%)

Φ₅₂₁₁₃(10) = 1109999999..._<33489> = [1109999999..._<33489>] (0.00%)

Φ₅₂₁₁₄(10) = 1099999999..._<25621> = 625369 × [1758961509..._<25615>] (0.02%)

Φ₅₂₁₁₅(10) = 1111099888..._<35713> = 104231 × 66290281 × [1608075146..._<35700>] (0.04%)

Φ₅₂₁₁₆(10) = 9901000000..._<16800> = [9901000000..._<16800>] (0.00%)

Φ₅₂₁₁₇(10) = 1111111111..._<45361> = 2889548785267_<13> × [3845275486..._<45348>] (0.03%)

Φ₅₂₁₁₈(10) = 9090909091..._<22440> = 7140167 × 163494167 × [7787475304..._<22425>] (0.07%)

Φ₅₂₁₁₉(10) = 9990000009..._<34740> = 104239 × 391778276894083_<15> × 44662941442010191146013_<23> × [5477061011..._<34698>] (0.12%)

Φ₅₂₁₂₀(10) = 1000099999..._<20833> = 4065361 × [2460052133..._<20826>] (0.03%)

Φ₅₂₁₂₁(10) = 1111111111..._<52121> = 104243 × [1065885585..._<52116>] (0.01%)

Φ₅₂₁₂₂(10) = 1098900989..._<13825> = 25049447809933_<14> × [4386926998..._<13811>] (0.10%)

Φ₅₂₁₂₃(10) = 9000000000..._<50968> = 521231 × [1726681644..._<50963>] (0.01%)

Φ₅₂₁₂₄(10) = 1009999999..._<25585> = [1009999999..._<25585>] (0.00%)

Φ₅₂₁₂₅(10) = 1000000000..._<27601> = [1000000000..._<27601>] (0.00%)

Φ₅₂₁₂₆(10) = 1099999999..._<25609> = 52127 × 1506441401_<10> × 54446747569007_<14> × [2572798473..._<25581>] (0.11%)

Φ₅₂₁₂₇(10) = 1111111111..._<52127> = 91639267 × [1212483630..._<52119>] (0.02%)

Φ₅₂₁₂₈(10) = 1000000000..._<17281> = 639091886401_<12> × 420784642467649_<15> × [3718577311..._<17254>] (0.15%)

Φ₅₂₁₂₉(10) = 1111110999..._<40561> = [1111110999..._<40561>] (0.00%)

Φ₅₂₁₃₀(10) = 9091000000..._<19200> = 10346762401_<11> × 168256508291_<12> × [5221981266..._<19179>] (0.11%)

Φ₅₂₁₃₁(10) = 9009009009..._<34752> = [9009009009..._<34752>] (0.00%)

Φ₅₂₁₃₂(10) = 9900990099..._<26064> = 208529 × 13033001 × 204565969 × 3368243039295930664009849_<25> × [5287263182..._<26019>] (0.17%)

Φ₅₂₁₃₃(10) = 9000000000..._<50688> = 1400083849_<10> × [6428186430..._<50679>] (0.02%)

Φ₅₂₁₃₄(10) = 1098901098..._<17377> = 566137130047_<12> × [1941051099..._<17365>] (0.07%)

Φ₅₂₁₃₅(10) = 9000090000..._<41704> = [9000090000..._<41704>] (0.00%)

Φ₅₂₁₃₆(10) = 1000000000..._<21169> = 573497 × 858523513 × 652284965921_<12> × [3113718067..._<21142>] (0.13%)

Φ₅₂₁₃₇(10) = 9999999990..._<34740> = [9999999990..._<34740>] (0.00%)

Φ₅₂₁₃₈(10) = 1099999999..._<25741> = 7806635805887077_<16> × [1409057662..._<25725>] (0.06%)

Φ₅₂₁₃₉(10) = 9000000000..._<49056> = [9000000000..._<49056>] (0.00%)

Φ_52140L(10) = 3952634573..._<6240> = 1459921 × [2707430452..._<6234>] (0.10%)

Φ_52140M(10) = 2555255162..._<6241> = [2555255162..._<6241>] (0.00%)

Φ₅₂₁₄₁(10) = 9000000000..._<49852> = [9000000000..._<49852>] (0.00%)

Φ₅₂₁₄₂(10) = 1000000000..._<24361> = [1000000000..._<24361>] (0.00%)

Φ₅₂₁₄₃(10) = 9009009909..._<27360> = [9009009909..._<27360>] (0.00%)

Φ₅₂₁₄₄(10) = 9999999900..._<26064> = 250755848405281_<15> × [3987942839..._<26050>] (0.06%)

Φ₅₂₁₄₅(10) = 9000090000..._<41712> = 19677511350191_<14> × [4573794846..._<41699>] (0.03%)

Φ₅₂₁₄₆(10) = 1000999998..._<17377> = [1000999998..._<17377>] (0.00%)

Φ₅₂₁₄₇(10) = 1111111111..._<52147> = 1060978174020566009811787_<25> × [1047251619..._<52123>] (0.05%)

Φ₅₂₁₄₈(10) = 9900990099..._<26072> = 94179289 × [1051291659..._<26065>] (0.03%)

Φ₅₂₁₄₉(10) = 9009009009..._<34764> = 1403538187_<10> × 978271229268643_<15> × [6561354561..._<34740>] (0.07%)

Φ₅₂₁₅₀(10) = 9999900000..._<17760> = [9999900000..._<17760>] (0.00%)

Φ₅₂₁₅₁(10) = 9999999999..._<47300> = [9999999999..._<47300>] (0.00%)

Φ₅₂₁₅₂(10) = 9999000100..._<16640> = 52153 × 208609 × [9190607856..._<16630>] (0.06%)

Φ₅₂₁₅₃(10) = 1111111111..._<52153> = 7174377065203_<13> × [1548721374..._<52140>] (0.02%)

Φ₅₂₁₅₄(10) = 1099999999..._<25697> = 38177623901413_<14> × 308804330193157_<15> × [9330403129..._<25668>] (0.11%)

Φ₅₂₁₅₅(10) = 9990000009..._<25920> = 104311 × 521551 × 76325400271_<11> × 2891101543471_<13> × [8321587062..._<25886>] (0.13%)

Φ₅₂₁₅₆(10) = 9900990099..._<22272> = [9900990099..._<22272>] (0.00%)

Φ₅₂₁₅₇(10) = 9000000900..._<44700> = 10225797107_<11> × [8801270752..._<44690>] (0.02%)

Φ₅₂₁₅₈(10) = 1098901098..._<17385> = [1098901098..._<17385>] (0.00%)

Φ₅₂₁₅₉(10) = 9000000000..._<50904> = [9000000000..._<50904>] (0.00%)

Φ₅₂₁₆₀(10) = 1000000000..._<20737> = [1000000000..._<20737>] (0.00%)

Φ₅₂₁₆₁(10) = 9009009009..._<34772> = 104323 × 1877797 × 56229559 × [8178687893..._<34753>] (0.05%)

Φ₅₂₁₆₂(10) = 1099999999..._<23701> = 156487 × [7029337900..._<23695>] (0.02%)

Φ₅₂₁₆₃(10) = 1111111111..._<52163> = 5317106002102105027_<19> × [2089691480..._<52144>] (0.04%)

Φ₅₂₁₆₄(10) = 9999999999..._<14256> = 116325721 × 97613815069_<11> × 375379455924024876829_<21> × [2346078068..._<14217>] (0.28%)

Φ₅₂₁₆₅(10) = 9000090000..._<41728> = [9000090000..._<41728>] (0.00%)

Φ₅₂₁₆₆(10) = 9090909090..._<26082> = 105525610247_<12> × 22627172717659_<14> × [3807317987..._<26058>] (0.09%)

Φ₅₂₁₆₇(10) = 9009009009..._<34776> = [9009009009..._<34776>] (0.00%)

Φ₅₂₁₆₈(10) = 9999000099..._<26080> = 3651761 × 631076297 × 28479867569_<11> × 1162490863006633_<16> × [1310523594..._<26040>] (0.16%)

Φ₅₂₁₆₉(10) = 9000000000..._<48144> = [9000000000..._<48144>] (0.00%)

Φ₅₂₁₇₀(10) = 1098890109..._<13249> = 1206013891_<10> × [9111753340..._<13239>] (0.07%)

Φ₅₂₁₇₁(10) = 1111110999..._<43009> = 81556107067_<11> × [1362388470..._<42998>] (0.03%)

Φ₅₂₁₇₂(10) = 9900990099..._<26084> = 399452013459098149022329_<24> × [2478643182..._<26061>] (0.09%)

Φ₅₂₁₇₃(10) = 9990000009..._<28800> = 31408147 × [3180703404..._<28793>] (0.03%)

Φ₅₂₁₇₄(10) = 1099999999..._<24697> = [1099999999..._<24697>] (0.00%)

Φ₅₂₁₇₅(10) = 9999900000..._<41720> = 1252201 × [7985858500..._<41714>] (0.01%)

Φ₅₂₁₇₆(10) = 1000000009..._<17377> = 15704977 × 1242673035385393_<16> × [5123961110..._<17354>] (0.13%)

Φ₅₂₁₇₇(10) = 1111111111..._<52177> = 2454514265148403_<16> × 6218642053753237_<16> × [7279413179..._<52145>] (0.06%)

Φ₅₂₁₇₈(10) = 1099999890..._<22357> = 60346778969_<11> × 54405260507249_<14> × [3350407661..._<22332>] (0.11%)

Φ₅₂₁₇₉(10) = 9009009009..._<34784> = [9009009009..._<34784>] (0.00%)

Φ_52180L(10) = 2824060999..._<10433> = 12731921 × 10150836301_<11> × 22963842141521_<14> × [9515547053..._<10402>] (0.29%)

Φ_52180M(10) = 3576409999..._<10432> = 52181 × 208721 × 669977184605146472708581_<24> × [4901271297..._<10398>] (0.32%)

Φ₅₂₁₈₁(10) = 1111111111..._<52181> = 76788507109231_<14> × 128141968375482359_<18> × [1129197415..._<52150>] (0.06%)

Φ₅₂₁₈₂(10) = 9990010000..._<15984> = 52183 × 607363778971_<12> × 792558837981613_<15> × [3977008123..._<15953>] (0.20%)

Φ₅₂₁₈₃(10) = 1111111111..._<52183> = 21009084533_<11> × 60194969089_<11> × [8785979108..._<52161>] (0.04%)

Φ₅₂₁₈₄(10) = 1000099999..._<23681> = 6203633921_<10> × 119724707521_<12> × [1346522083..._<23660>] (0.09%)

Φ₅₂₁₈₅(10) = 9999999000..._<23520> = 905289381227071_<15> × [1104619054..._<23506>] (0.06%)

Φ₅₂₁₈₆(10) = 1099999999..._<25729> = 5328707563775414167_<19> × [2064290424..._<25710>] (0.07%)

Φ₅₂₁₈₇(10) = 9000000000..._<49896> = 1340594581483_<13> × [6713439039..._<49884>] (0.02%)

Φ₅₂₁₈₈(10) = 1009998990..._<17393> = 313129 × 8826097682669094169_<19> × [3654508015..._<17368>] (0.14%)

Φ₅₂₁₈₉(10) = 1111111111..._<52189> = 1461293 × 156775757 × [4849994880..._<52174>] (0.03%)

Φ₅₂₁₉₀(10) = 9091000000..._<19584> = 78232811 × [1162044401..._<19577>] (0.04%)

Φ₅₂₁₉₁(10) = 9999999990..._<34776> = 291330163 × 29928719158780913281_<20> × [1146902281..._<34749>] (0.08%)

Φ₅₂₁₉₂(10) = 1000000000..._<22273> = 156577 × [6386634052..._<22267>] (0.02%)

Φ₅₂₁₉₃(10) = 1111111111..._<47521> = 480488759 × [2312460157..._<47512>] (0.02%)

Φ₅₂₁₉₄(10) = 1098901098..._<17397> = [1098901098..._<17397>] (0.00%)

Φ₅₂₁₉₅(10) = 9000090000..._<34560> = 1252681 × [7184662337..._<34554>] (0.02%)

Φ₅₂₁₉₆(10) = 9900990099..._<26096> = 782941 × [1264589553..._<26091>] (0.02%)

Φ₅₂₁₉₇(10) = 1109999999..._<34273> = 18774659068591_<14> × 707033314957213_<15> × [8362016910..._<34244>] (0.08%)

Φ₅₂₁₉₈(10) = 9090909090..._<26098> = [9090909090..._<26098>] (0.00%)

Φ₅₂₁₉₉(10) = 9000000900..._<44736> = [9000000900..._<44736>] (0.00%)

Φ₅₂₂₀₀(10) = 9999999999..._<13440> = [9999999999..._<13440>] (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