Factorization of cyclotomic number Phi

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Φ₁₁₁₅₀₁(10) = 1001000999..._<68545> = 3001160917_<10> × [3335379300..._<68535>] (0.01%)

Φ₁₁₁₅₀₂(10) = 1099999999..._<55273> = 132678571343_<12> × 1924174147376903_<16> × [4308712566..._<55246>] (0.05%)

Φ₁₁₁₅₀₃(10) = 1111110999..._<89857> = 546587707 × [2032813738..._<89848>] (0.01%)

Φ₁₁₁₅₀₄(10) = 9999999900..._<35200> = 223009 × 334513 × 569387836050531027667153_<24> × [2354270822..._<35166>] (0.10%)

Φ₁₁₁₅₀₅(10) = 1111099999..._<86017> = [1111099999..._<86017>] (0.00%)

Φ₁₁₁₅₀₆(10) = 1099999999..._<55189> = 2230121 × 54962199449_<11> × [8974291129..._<55171>] (0.03%)

Φ₁₁₁₅₀₇(10) = 9009009009..._<64800> = 2358150037_<10> × [3820371421..._<64791>] (0.01%)

Φ₁₁₁₅₀₈(10) = 1009999999..._<54721> = 111509 × 2454402589_<10> × [3690333811..._<54706>] (0.03%)

Φ₁₁₁₅₀₉(10) = 1111111111..._<111509> = [1111111111..._<111509>] (0.00%)

Φ₁₁₁₅₁₀(10) = 1000000000..._<25057> = 685005931 × [1459841376..._<25048>] (0.04%)

Φ₁₁₁₅₁₁(10) = 9000000000..._<105624> = 27431707 × [3280874937..._<105617>] (0.01%)

Φ₁₁₁₅₁₂(10) = 1000099999..._<54497> = [1000099999..._<54497>] (0.00%)

Φ₁₁₁₅₁₃(10) = 9009009009..._<74340> = 446053 × 15165769 × [1331760470..._<74328>] (0.02%)

Φ₁₁₁₅₁₄(10) = 1099999999..._<51457> = 381712423 × 9706309341165893_<16> × [2968945752..._<51432>] (0.05%)

Φ₁₁₁₅₁₅(10) = 9000090000..._<89208> = 29439961 × 220724761921_<12> × 34111954078841_<14> × [4060242442..._<89176>] (0.04%)

Φ₁₁₁₅₁₆(10) = 1009998990..._<37169> = 81406681 × 135397660805089_<15> × 109371842843310349_<18> × [8378074149..._<37129>] (0.11%)

Φ₁₁₁₅₁₇(10) = 1111110999..._<93985> = 62941756039_<11> × [1765300287..._<93974>] (0.01%)

Φ₁₁₁₅₁₈(10) = 9090909091..._<48960> = 223037 × 3903131 × 582527677017529_<15> × [1792671474..._<48934>] (0.05%)

Φ₁₁₁₅₁₉(10) = 9990000009..._<74340> = [9990000009..._<74340>] (0.00%)

Φ₁₁₁₅₂₀(10) = 9999999999..._<40960> = [9999999999..._<40960>] (0.00%)

Φ₁₁₁₅₂₁(10) = 1111111111..._<111521> = 462753712997_<12> × [2401085242..._<111509>] (0.01%)

Φ₁₁₁₅₂₂(10) = 1098901098..._<37173> = [1098901098..._<37173>] (0.00%)

Φ₁₁₁₅₂₃(10) = 9000000000..._<110808> = 1338277 × [6725065139..._<110802>] (0.01%)

Φ₁₁₁₅₂₄(10) = 1000000000..._<47713> = 223049 × 13382881 × [3350040853..._<47700>] (0.03%)

Φ₁₁₁₅₂₅(10) = 1000010000..._<59441> = 240426379912951_<15> × 16382075180553151_<17> × [2538945104..._<59410>] (0.05%)

Φ₁₁₁₅₂₆(10) = 9090909090..._<55762> = 1573349398202626973_<19> × [5778061186..._<55744>] (0.03%)

Φ₁₁₁₅₂₇(10) = 1111111111..._<98209> = 16189928483_<11> × 92220529133279_<14> × [7441919201..._<98184>] (0.02%)

Φ₁₁₁₅₂₈(10) = 1000000000..._<37153> = 1128953221273_<13> × [8857762936..._<37140>] (0.03%)

Φ₁₁₁₅₂₉(10) = 9000000000..._<101380> = 387451747 × 15724919827_<11> × [1477190296..._<101362>] (0.02%)

Φ₁₁₁₅₃₀(10) = 9091000000..._<42192> = [9091000000..._<42192>] (0.00%)

Φ₁₁₁₅₃₁(10) = 9009009909..._<61824> = 352630685569_<12> × [2554800327..._<61813>] (0.02%)

Φ₁₁₁₅₃₂(10) = 9900990099..._<55764> = 446129 × [2219311028..._<55759>] (0.01%)

Φ₁₁₁₅₃₃(10) = 1111111111..._<111533> = 125363093 × 10365600864293_<14> × [8550535411..._<111511>] (0.02%)

Φ₁₁₁₅₃₄(10) = 9100000000..._<35840> = 120154908997_<12> × 63629922357439296551383_<23> × [1190250794..._<35807>] (0.09%)

Φ₁₁₁₅₃₅(10) = 9000090000..._<89224> = 1115351 × 958308721 × [8420344323..._<89209>] (0.02%)

Φ₁₁₁₅₃₆(10) = 9999999900..._<55760> = 1792948147577441_<16> × [5577406080..._<55745>] (0.03%)

Φ₁₁₁₅₃₇(10) = 9999999999..._<69984> = 436109671 × [2293001202..._<69976>] (0.01%)

Φ₁₁₁₅₃₈(10) = 9090910000..._<46080> = [9090910000..._<46080>] (0.00%)

Φ₁₁₁₅₃₉(10) = 1111111111..._<111539> = 18292397 × 514640947 × 14353284677_<11> × 15990007963_<11> × [5142597757..._<111502>] (0.03%)

Φ_111540L(10) = 9999990000..._<12480> = 35395284493629061_<17> × [2825232271..._<12464>] (0.13%)

Φ_111540M(10) = 1000001000..._<12481> = 838132752601_<12> × 12762508727758192261_<20> × [9348707455..._<12449>] (0.25%)

Φ₁₁₁₅₄₁(10) = 9000000000..._<109900> = [9000000000..._<109900>] (0.00%)

Φ₁₁₁₅₄₂(10) = 1099999999..._<54433> = 12682042830093691_<17> × [8673681478..._<54416>] (0.03%)

Φ₁₁₁₅₄₃(10) = 9009009009..._<74360> = [9009009009..._<74360>] (0.00%)

Φ₁₁₁₅₄₄(10) = 1000099999..._<54721> = 1003897 × [9962177394..._<54714>] (0.01%)

Φ₁₁₁₅₄₅(10) = 1111099888..._<76465> = 40156201 × 74962693130499511_<17> × [3691095688..._<76440>] (0.03%)

Φ₁₁₁₅₄₆(10) = 1000999998..._<37177> = 19630418905891_<14> × [5099228925..._<37163>] (0.04%)

Φ₁₁₁₅₄₇(10) = 9000000000..._<110880> = [9000000000..._<110880>] (0.00%)

Φ₁₁₁₅₄₈(10) = 1009999999..._<54913> = 669289 × 73348344721617993839249_<23> × [2057393526..._<54884>] (0.05%)

Φ₁₁₁₅₄₉(10) = 1000000000..._<69769> = 446197 × 3346471 × 753401947 × 2488435093_<10> × [3572179161..._<69738>] (0.04%)

Φ₁₁₁₅₅₀(10) = 9999900000..._<42240> = 780851 × 158735651 × 12779587428001_<14> × 2310051976469609201_<19> × [2732841371..._<42195>] (0.11%)

Φ₁₁₁₅₅₁(10) = 9000000000..._<101400> = [9000000000..._<101400>] (0.00%)

Φ₁₁₁₅₅₂(10) = 9999999999..._<31488> = 109320961 × 434048833 × [2107453332..._<31472>] (0.05%)

Φ₁₁₁₅₅₃(10) = 9000000000..._<102960> = 1841740031_<10> × [4886683162..._<102951>] (0.01%)

Φ₁₁₁₅₅₄(10) = 1000000000..._<52225> = [1000000000..._<52225>] (0.00%)

Φ₁₁₁₅₅₅(10) = 9990000009..._<57024> = 10039951 × 29133703801_<11> × 132044010060691741321_<21> × [2586541732..._<56987>] (0.07%)

Φ₁₁₁₅₅₆(10) = 9999999999..._<55444> = 151320470869_<12> × 26739036937596437300020201_<26> × [2471476895..._<55408>] (0.07%)

Φ₁₁₁₅₅₇(10) = 9000000000..._<110880> = 110930428507573_<15> × [8113193215..._<110866>] (0.01%)

Φ₁₁₁₅₅₈(10) = 1098901098..._<37185> = 76082557 × 111111769 × 2006867210148058099_<19> × [6477311877..._<37150>] (0.09%)

Φ₁₁₁₅₅₉(10) = 9000000900..._<95616> = [9000000900..._<95616>] (0.00%)

Φ₁₁₁₅₆₀(10) = 1000099999..._<44609> = 275532226721_<12> × 3876892289041_<13> × [9362402112..._<44584>] (0.05%)

Φ₁₁₁₅₆₁(10) = 1109999999..._<72481> = [1109999999..._<72481>] (0.00%)

Φ₁₁₁₅₆₂(10) = 1000000000..._<50601> = [1000000000..._<50601>] (0.00%)

Φ₁₁₁₅₆₃(10) = 9000000000..._<107688> = 6258907427_<10> × 67717179119_<11> × 97818438401_<11> × 240356905351_<12> × [9031664443..._<107645>] (0.04%)

Φ₁₁₁₅₆₄(10) = 1000000000..._<37153> = 223129 × [4481712372..._<37147>] (0.01%)

Φ₁₁₁₅₆₅(10) = 1111099999..._<87361> = 1785041 × 603205445147831_<15> × [1031904956..._<87340>] (0.02%)

Φ₁₁₁₅₆₆(10) = 9090910000..._<44064> = [9090910000..._<44064>] (0.00%)

Φ₁₁₁₅₆₇(10) = 9009009009..._<74376> = [9009009009..._<74376>] (0.00%)

Φ₁₁₁₅₆₈(10) = 1000000009..._<52705> = 7475057 × 47527969 × [2814726744..._<52690>] (0.03%)

Φ₁₁₁₅₆₉(10) = 1111111111..._<104401> = [1111111111..._<104401>] (0.00%)

Φ₁₁₁₅₇₀(10) = 9100090999..._<29744> = [9100090999..._<29744>] (0.00%)

Φ₁₁₁₅₇₁(10) = 9000000000..._<104992> = 14961495040963_<14> × [6015441622..._<104979>] (0.01%)

Φ₁₁₁₅₇₂(10) = 9900990099..._<55784> = [9900990099..._<55784>] (0.00%)

Φ₁₁₁₅₇₃(10) = 9999999999..._<55440> = [9999999999..._<55440>] (0.00%)

Φ₁₁₁₅₇₄(10) = 9090909090..._<55786> = [9090909090..._<55786>] (0.00%)

Φ₁₁₁₅₇₅(10) = 9999900000..._<89240> = 223151 × [4481225717..._<89235>] (0.01%)

Φ₁₁₁₅₇₆(10) = 1000099999..._<37185> = 111577 × [8963316812..._<37179>] (0.01%)

Φ₁₁₁₅₇₇(10) = 1111111111..._<111577> = 1112724840517_<13> × [9985497498..._<111564>] (0.01%)

Φ₁₁₁₅₇₈(10) = 1099999999..._<54557> = 323687779 × [3398336518..._<54548>] (0.02%)

Φ₁₁₁₅₇₉(10) = 1109999999..._<68641> = 60414895867_<11> × [1837295230..._<68630>] (0.02%)

Φ_111580L(10) = 2798897498..._<19105> = 293401283701_<12> × 14337717916542161_<17> × [6653420203..._<19077>] (0.14%)

Φ_111580M(10) = 3537460769..._<19104> = 2454761 × 3341821001_<10> × 2860343209932181_<16> × [1507582497..._<19073>] (0.16%)

Φ₁₁₁₅₈₁(10) = 1111111111..._<111581> = [1111111111..._<111581>] (0.00%)

Φ₁₁₁₅₈₂(10) = 1000999998..._<37189> = 2637796899440971_<16> × [3794833480..._<37173>] (0.04%)

Φ₁₁₁₅₈₃(10) = 9000000000..._<110880> = 446333 × 1115831 × 297456399239_<12> × 181813475438597_<15> × [3341455668..._<110843>] (0.03%)

Φ₁₁₁₅₈₄(10) = 1000000000..._<50561> = 137201658220099605793_<21> × [7288541647..._<50540>] (0.04%)

Φ₁₁₁₅₈₅(10) = 9009099100..._<57792> = [9009099100..._<57792>] (0.00%)

Φ₁₁₁₅₈₆(10) = 9090909090..._<55792> = [9090909090..._<55792>] (0.00%)

Φ₁₁₁₅₈₇(10) = 1111110999..._<90505> = 71192507 × [1560713404..._<90497>] (0.01%)

Φ₁₁₁₅₈₈(10) = 9901000000..._<34944> = [9901000000..._<34944>] (0.00%)

Φ₁₁₁₅₈₉(10) = 9000000000..._<110700> = 89834686732919_<14> × [1001840194..._<110687>] (0.01%)

Φ₁₁₁₅₉₀(10) = 1099989000..._<44633> = 334771 × 122167281331_<12> × [2689587039..._<44616>] (0.04%)

Φ₁₁₁₅₉₁(10) = 9999999990..._<74376> = 1115911 × 6343501987_<10> × [1412672076..._<74361>] (0.02%)

Φ₁₁₁₅₉₂(10) = 9999000099..._<48384> = 334777 × 28842615650694270863257_<23> × [1035538659..._<48357>] (0.06%)

Φ₁₁₁₅₉₃(10) = 1111111111..._<111593> = 2829426181716422235631_<22> × [3926983917..._<111571>] (0.02%)

Φ₁₁₁₅₉₄(10) = 9100000909..._<31872> = 7030423 × 59925979 × [2159955689..._<31858>] (0.05%)

Φ₁₁₁₅₉₅(10) = 1111099999..._<81121> = 66957001 × [1659423187..._<81113>] (0.01%)

Φ₁₁₁₅₉₆(10) = 1009999999..._<53329> = [1009999999..._<53329>] (0.00%)

Φ₁₁₁₅₉₇(10) = 9009009009..._<74396> = 104231599 × [8643260868..._<74388>] (0.01%)

Φ₁₁₁₅₉₈(10) = 9090909090..._<55798> = 2309319733601_<13> × 9810177757613_<13> × [4012789434..._<55773>] (0.05%)

Φ₁₁₁₅₉₉(10) = 1111111111..._<111599> = [1111111111..._<111599>] (0.00%)

Φ₁₁₁₆₀₀(10) = 9999999999..._<28800> = 25668001 × 13039006298401_<14> × [2987882105..._<28780>] (0.07%)

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