Factorization of cyclotomic number Phi

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Φ₂₆₉₁₀₁(10) = 1111110999..._<224209> = 39168385733933_<14> × (2836754640..._<224195>) (0.01%)

Φ₂₆₉₁₀₂(10) = 1099999999..._<133673> = 130354085209_<12> × [8438554098..._<133661>] (0.01%)

Φ₂₆₉₁₀₃(10) = 1109999999..._<178201> = [1109999999..._<178201>] (0.00%)

Φ₂₆₉₁₀₄(10) = 1000000000..._<121441> = 3207437928113_<13> × [3117753242..._<121428>] (0.01%)

Φ₂₆₉₁₀₅(10) = 1111099999..._<212849> = 1614631 × 3767471 × 963750580391_<12> × (1895244698..._<212824>) (0.01%)

Φ₂₆₉₁₀₆(10) = 1098901098..._<89701> = 1361676361_<10> × 15630214693_<11> × [5163209726..._<89681>] (0.02%)

Φ₂₆₉₁₀₇(10) = 9000000000..._<268056> = 109257443 × (8237425069..._<268048>) (0.00%)

Φ₂₆₉₁₀₈(10) = 1000000000..._<115249> = [1000000000..._<115249>] (0.00%)

Φ₂₆₉₁₀₉(10) = 9999999990..._<179388> = 371908639 × [2688832401..._<179380>] (0.00%)

Φ₂₆₉₁₁₀(10) = 9091000000..._<101248> = 3337771331_<10> × [2723673702..._<101239>] (0.01%)

Φ₂₆₉₁₁₁(10) = 9000000000..._<260400> = 19378144889_<11> × (4644407424..._<260390>) (0.00%)

Φ₂₆₉₁₁₂(10) = 1000099999..._<89697> = [1000099999..._<89697>] (0.00%)

Φ₂₆₉₁₁₃(10) = 1111111111..._<244945> = 9149843 × 50306907769_<11> × 61649946442813_<14> × (3915466580..._<244913>) (0.01%)

Φ₂₆₉₁₁₄(10) = 1099999999..._<133757> = [1099999999..._<133757>] (0.00%)

Φ₂₆₉₁₁₅(10) = 1109988788..._<111361> = 10764601 × 1190564761_<10> × 1476903121_<10> × [5864292490..._<111335>] (0.02%)

Φ₂₆₉₁₁₆(10) = 1009999999..._<127441> = 13104065389_<11> × [7707531746..._<127430>] (0.01%)

Φ₂₆₉₁₁₇(10) = 1111111111..._<269117> = 18751043161639769_<17> × 178225823410173031_<18> × (3324768622..._<269083>) (0.01%)

Φ₂₆₉₁₁₈(10) = 1000999998..._<89701> = 14801491 × [6762832197..._<89693>] (0.01%)

Φ₂₆₉₁₁₉(10) = 9000000000..._<267520> = 1173897079_<10> × (7666770929..._<267511>) (0.00%)

Φ₂₆₉₁₂₀(10) = 1000000000..._<103937> = 74815361 × 37891019521_<11> × 33517925015041_<14> × [1052436273..._<103905>] (0.03%)

Φ₂₆₉₁₂₁(10) = 1109999999..._<177553> = 112943624797_<12> × 307102810495399_<15> × [3200202543..._<177527>] (0.01%)

Φ₂₆₉₁₂₂(10) = 9090910000..._<112608> = [9090910000..._<112608>] (0.00%)

Φ₂₆₉₁₂₃(10) = 9000000000..._<257400> = 757312123 × 2821485533_<10> × (4212013675..._<257382>) (0.01%)

Φ₂₆₉₁₂₄(10) = 9901000000..._<87360> = 6728101 × [1471589085..._<87354>] (0.01%)

Φ₂₆₉₁₂₅(10) = 9999999999..._<215200> = (9999999999..._<215200>) (0.00%)

Φ₂₆₉₁₂₆(10) = 9090909091..._<112800> = [9090909091..._<112800>] (0.00%)

Φ₂₆₉₁₂₇(10) = 1001000999..._<168769> = 3198843523_<10> × [3129259036..._<168759>] (0.01%)

Φ₂₆₉₁₂₈(10) = 9999000099..._<134560> = 72664561 × [1376049061..._<134553>] (0.01%)

Φ₂₆₉₁₂₉(10) = 9000000900..._<230676> = (9000000900..._<230676>) (0.00%)

Φ₂₆₉₁₃₀(10) = 9100090999..._<71760> = 269131 × 1345651 × 288776491 × 618343668451_<12> × [1407206455..._<71729>] (0.04%)

Φ₂₆₉₁₃₁(10) = 1111111111..._<269131> = 26303993570347_<14> × (4224115658..._<269117>) (0.00%)

Φ₂₆₉₁₃₂(10) = 1009999999..._<132241> = 9963266641_<10> × [1013723747..._<132231>] (0.01%)

Φ₂₆₉₁₃₃(10) = 1109999999..._<178225> = 538267 × 11841853 × 32834227 × 5608731721_<10> × [9456144382..._<178194>] (0.02%)

Φ₂₆₉₁₃₄(10) = 1099999999..._<131977> = [1099999999..._<131977>] (0.00%)

Φ₂₆₉₁₃₅(10) = 1111099999..._<203905> = (1111099999..._<203905>) (0.00%)

Φ₂₆₉₁₃₆(10) = 9999999999..._<76032> = 35256817 × 300064045494529_<15> × [9452418431..._<76010>] (0.03%)

Φ₂₆₉₁₃₇(10) = 1111111111..._<238561> = (1111111111..._<238561>) (0.00%)

Φ₂₆₉₁₃₈(10) = 1099999999..._<130897> = 8828356452059_<13> × [1245985032..._<130884>] (0.01%)

Φ₂₆₉₁₃₉(10) = 9009009009..._<161568> = 1076557 × 550120117 × 2367602864329_<13> × [6425007051..._<161541>] (0.02%)

Φ_269140L(10) = 3576409999..._<53824> = 63247901 × 50873430870901_<14> × [1111501763..._<53803>] (0.04%)

Φ_269140M(10) = 2824060999..._<53825> = 269141 × 8279900203181_<13> × 9942017066441_<13> × [1274660726..._<53794>] (0.06%)

Φ₂₆₉₁₄₁(10) = 1111111111..._<269141> = 538283 × 663701707 × 8270164649_<10> × (3760622462..._<269116>) (0.01%)

Φ₂₆₉₁₄₂(10) = 9100000000..._<86760> = [9100000000..._<86760>] (0.00%)

Φ₂₆₉₁₄₃(10) = 9000000900..._<230688> = 62702782997_<11> × (1435343133..._<230678>) (0.00%)

Φ₂₆₉₁₄₄(10) = 1000099999..._<126593> = 7805177 × 233886137 × 4055680606073_<13> × [1350804330..._<126565>] (0.02%)

Φ₂₆₉₁₄₅(10) = 1001000999..._<143521> = 84402713061631_<14> × [1185982018..._<143507>] (0.01%)

Φ₂₆₉₁₄₆(10) = 1099999999..._<128701> = 755761969 × 8904695411_<10> × 37179996656251_<14> × [4396218162..._<128668>] (0.03%)

Φ₂₆₉₁₄₇(10) = 9000000000..._<267480> = (9000000000..._<267480>) (0.00%)

Φ₂₆₉₁₄₈(10) = 9901000000..._<81520> = [9901000000..._<81520>] (0.00%)

Φ₂₆₉₁₄₉(10) = 9000000000..._<259840> = 4472718083_<10> × 232275625219159_<15> × (8662980690..._<259816>) (0.01%)

Φ₂₆₉₁₅₀(10) = 9999900000..._<92160> = 270226601 × 88881790730251_<14> × [4163463509..._<92138>] (0.02%)

Φ₂₆₉₁₅₁(10) = 1109999999..._<176833> = 13457551 × [8248157484..._<176825>] (0.00%)

Φ₂₆₉₁₅₂(10) = 1000000000..._<124033> = 797102799169_<12> × [1254543329..._<124021>] (0.01%)

Φ₂₆₉₁₅₃(10) = 9000000000..._<265668> = (9000000000..._<265668>) (0.00%)

Φ₂₆₉₁₅₄(10) = 9990010000..._<84888> = [9990010000..._<84888>] (0.00%)

Φ₂₆₉₁₅₅(10) = 9000090000..._<215320> = (9000090000..._<215320>) (0.00%)

Φ₂₆₉₁₅₆(10) = 9900990099..._<134576> = 100933501 × [9809419073..._<134568>] (0.01%)

Φ₂₆₉₁₅₇(10) = 1000000100..._<153721> = 3768199 × 90975067 × [2917049705..._<153706>] (0.01%)

Φ₂₆₉₁₅₈(10) = 1099999999..._<132241> = 2422423 × 13079463853_<11> × [3471784515..._<132224>] (0.01%)

Φ₂₆₉₁₅₉(10) = 9000000000..._<244680> = (9000000000..._<244680>) (0.00%)

Φ₂₆₉₁₆₀(10) = 9999000100..._<71744> = [9999000100..._<71744>] (0.00%)

Φ₂₆₉₁₆₁(10) = 1111111111..._<248641> = 11304763 × 168982183277123_<15> × (5816411328..._<248619>) (0.01%)

Φ₂₆₉₁₆₂(10) = 9090909090..._<134580> = 1741747303_<10> × [5219419071..._<134571>] (0.01%)

Φ₂₆₉₁₆₃(10) = 9999999999..._<179388> = 8926847957557_<13> × [1120216233..._<179376>] (0.01%)

Φ₂₆₉₁₆₄(10) = 1009999999..._<115345> = 12112380001_<11> × 601199865449_<12> × [1386988983..._<115323>] (0.02%)

Φ₂₆₉₁₆₅(10) = 9000090000..._<192000> = 8753245801_<10> × [1028200304..._<191991>] (0.01%)

Φ₂₆₉₁₆₆(10) = 9100000000..._<88704> = 10772021974171_<14> × 286729163057299_<15> × [2946268310..._<88677>] (0.03%)

Φ₂₆₉₁₆₇(10) = 1111111111..._<269167> = (1111111111..._<269167>) (0.00%)

Φ₂₆₉₁₆₈(10) = 9999999900..._<134576> = [9999999900..._<134576>] (0.00%)

Φ₂₆₉₁₆₉(10) = 9009009009..._<165968> = [9009009009..._<165968>] (0.00%)

Φ₂₆₉₁₇₀(10) = 9091000000..._<97840> = 81552319091_<11> × [1114744510..._<97830>] (0.01%)

Φ₂₆₉₁₇₁(10) = 9000000900..._<230712> = (9000000900..._<230712>) (0.00%)

Φ₂₆₉₁₇₂(10) = 1000000999..._<89713> = 666732314701_<12> × 987259640581_<12> × [1519209075..._<89689>] (0.03%)

Φ₂₆₉₁₇₃(10) = 1111111111..._<246241> = 87212053 × 1367398841_<10> × 139120988359_<12> × (6697197688..._<246212>) (0.01%)

Φ₂₆₉₁₇₄(10) = 9090909090..._<134586> = 3153373411_<10> × 78625725401_<11> × 119517901108561573489_<21> × [3067851194..._<134546>] (0.03%)

Φ₂₆₉₁₇₅(10) = 9999900000..._<138240> = [9999900000..._<138240>] (0.00%)

Φ₂₆₉₁₇₆(10) = 9999000099..._<134584> = 269177 × 80752801 × [4600033864..._<134571>] (0.01%)

Φ₂₆₉₁₇₇(10) = 1111111111..._<269177> = (1111111111..._<269177>) (0.00%)

Φ₂₆₉₁₇₈(10) = 9100000910..._<64512> = 269179 × 538357 × 284377674127_<12> × 41158070167579_<14> × 191712090833173_<15> × [2798529512..._<64462>] (0.08%)

Φ₂₆₉₁₇₉(10) = 1111111111..._<269179> = (1111111111..._<269179>) (0.00%)

Φ_269180L(10) = 2796099999..._<52417> = 83012420201_<11> × 3594660675701_<13> × [9370261758..._<52393>] (0.04%)

Φ_269180M(10) = 3541000000..._<52416> = 4845241 × 465950581 × [1568450025..._<52401>] (0.03%)

Φ₂₆₉₁₈₁(10) = 1001000999..._<163081> = 37007003881_<11> × [2704896087..._<163070>] (0.01%)

Φ₂₆₉₁₈₂(10) = 9090909090..._<134590> = 269183 × [3377222592..._<134585>] (0.00%)

Φ₂₆₉₁₈₃(10) = 1111111111..._<269183> = (1111111111..._<269183>) (0.00%)

Φ₂₆₉₁₈₄(10) = 1000000000..._<89601> = 809974657 × 3408676993_<10> × 15731112961_<11> × [2302413221..._<89572>] (0.03%)

Φ₂₆₉₁₈₅(10) = 1111099888..._<184561> = 182360060903161_<15> × [6092890534..._<184546>] (0.01%)

Φ₂₆₉₁₈₆(10) = 9090909090..._<134592> = 1132734689_<10> × 22790632691_<11> × 1571645456094002515813_<22> × [2240619705..._<134552>] (0.03%)

Φ₂₆₉₁₈₇(10) = 1109999999..._<175969> = [1109999999..._<175969>] (0.00%)

Φ₂₆₉₁₈₈(10) = 1009999999..._<133473> = 269189 × 4037821 × 2346242609_<10> × [3960445895..._<133451>] (0.02%)

Φ₂₆₉₁₈₉(10) = 1111111111..._<269189> = (1111111111..._<269189>) (0.00%)

Φ₂₆₉₁₉₀(10) = 9999999990..._<71712> = [9999999990..._<71712>] (0.00%)

Φ₂₆₉₁₉₁(10) = 9000000000..._<248472> = (9000000000..._<248472>) (0.00%)

Φ₂₆₉₁₉₂(10) = 1000099999..._<95041> = [1000099999..._<95041>] (0.00%)

Φ₂₆₉₁₉₃(10) = 1109999999..._<176401> = 4307089 × [2577146652..._<176394>] (0.00%)

Φ₂₆₉₁₉₄(10) = 9090909090..._<134596> = 5114687 × 28645617023567_<14> × [6204832638..._<134576>] (0.01%)

Φ₂₆₉₁₉₅(10) = 1111099999..._<202625> = (1111099999..._<202625>) (0.00%)

Φ₂₆₉₁₉₆(10) = 1009998990..._<89729> = [1009998990..._<89729>] (0.00%)

Φ₂₆₉₁₉₇(10) = 9000000000..._<267840> = (9000000000..._<267840>) (0.00%)

Φ₂₆₉₁₉₈(10) = 1099999999..._<133841> = [1099999999..._<133841>] (0.00%)

Φ₂₆₉₁₉₉(10) = 1001000999..._<153793> = [1001000999..._<153793>] (0.00%)

Φ₂₆₉₂₀₀(10) = 1000000000..._<107521> = [1000000000..._<107521>] (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