Factorization of cyclotomic number Phi

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Φ₁₅₀₅₀₁(10) = 9009009009..._<86784> = 1137787561_<10> × [7918006241..._<86775>] (0.01%)

Φ₁₅₀₅₀₂(10) = 1099999999..._<68401> = 150503 × 18210743 × [4013468538..._<68388>] (0.02%)

Φ₁₅₀₅₀₃(10) = 1111111111..._<150503> = [1111111111..._<150503>] (0.00%)

Φ₁₅₀₅₀₄(10) = 1000099999..._<50161> = 520743841 × [1920521994..._<50152>] (0.02%)

Φ₁₅₀₅₀₅(10) = 1111099999..._<116401> = [1111099999..._<116401>] (0.00%)

Φ₁₅₀₅₀₆(10) = 9090909090..._<75252> = 903037 × [1006703943..._<75247>] (0.01%)

Φ₁₅₀₅₀₇(10) = 1001000999..._<85969> = 1633722781573_<13> × [6127116615..._<85956>] (0.01%)

Φ₁₅₀₅₀₈(10) = 1009999999..._<74481> = 14649846689_<11> × 71876448617429_<14> × [9591834645..._<74456>] (0.03%)

Φ₁₅₀₅₀₉(10) = 9000000000..._<147900> = 919609991 × 27591911917_<11> × [3546966065..._<147881>] (0.01%)

Φ₁₅₀₅₁₀(10) = 1098890109..._<38529> = [1098890109..._<38529>] (0.00%)

Φ₁₅₀₅₁₁(10) = 9000000000..._<146800> = 1505111 × 713121119 × [8385147015..._<146785>] (0.01%)

Φ₁₅₀₅₁₂(10) = 1000000009..._<71809> = 12044572289_<11> × [8302494982..._<71798>] (0.01%)

Φ₁₅₀₅₁₃(10) = 1109999999..._<91201> = [1109999999..._<91201>] (0.00%)

Φ₁₅₀₅₁₄(10) = 9090910000..._<59472> = 720209491 × 835187586143_<12> × [1511348041..._<59452>] (0.03%)

Φ₁₅₀₅₁₅(10) = 9000090000..._<120408> = 5598254911_<10> × [1607659912..._<120399>] (0.01%)

Φ₁₅₀₅₁₆(10) = 9999990000..._<48384> = 10153845483841_<14> × 2380058839507370509_<19> × [4137912679..._<48353>] (0.06%)

Φ₁₅₀₅₁₇(10) = 1111111111..._<150517> = 11439293 × [9713109989..._<150509>] (0.00%)

Φ₁₅₀₅₁₈(10) = 9090909090..._<66816> = 9042317222327_<13> × [1005373829..._<66804>] (0.02%)

Φ₁₅₀₅₁₉(10) = 1109999999..._<99321> = [1109999999..._<99321>] (0.00%)

Φ₁₅₀₅₂₀(10) = 9999000099..._<58240> = 1505201 × 348914692241_<12> × [1903894228..._<58223>] (0.03%)

Φ₁₅₀₅₂₁(10) = 9000000900..._<129012> = [9000000900..._<129012>] (0.00%)

Φ₁₅₀₅₂₂(10) = 1098901098..._<50173> = 144501121 × 267628117 × 910507579 × [3120844197..._<50147>] (0.05%)

Φ₁₅₀₅₂₃(10) = 1111111111..._<150523> = 33599141969_<11> × 2064437976527827_<16> × [1601870723..._<150497>] (0.02%)

Φ₁₅₀₅₂₄(10) = 1000000000..._<68201> = 140739941 × [7105303532..._<68192>] (0.01%)

Φ₁₅₀₅₂₅(10) = 1000000000..._<79921> = [1000000000..._<79921>] (0.00%)

Φ₁₅₀₅₂₆(10) = 1099999999..._<74161> = 21374693 × 875308691 × [5879380379..._<74144>] (0.02%)

Φ₁₅₀₅₂₇(10) = 9000000000..._<138936> = 2900895832147_<13> × [3102489893..._<138924>] (0.01%)

Φ₁₅₀₅₂₈(10) = 1000000000..._<43009> = 1005234802983937_<16> × [9947924574..._<42993>] (0.03%)

Φ₁₅₀₅₂₉(10) = 9000000000..._<149040> = 4515871 × [1992971012..._<149034>] (0.00%)

Φ₁₅₀₅₃₀(10) = 1099989000..._<60209> = [1099989000..._<60209>] (0.00%)

Φ₁₅₀₅₃₁(10) = 9009009009..._<100352> = 1505311 × [5984815768..._<100346>] (0.01%)

Φ₁₅₀₅₃₂(10) = 9900990099..._<75264> = [9900990099..._<75264>] (0.00%)

Φ₁₅₀₅₃₃(10) = 1111111111..._<150533> = 54368304677_<11> × [2043674375..._<150522>] (0.01%)

Φ₁₅₀₅₃₄(10) = 1000999998..._<50173> = [1000999998..._<50173>] (0.00%)

Φ₁₅₀₅₃₅(10) = 1111099888..._<84481> = [1111099888..._<84481>] (0.00%)

Φ₁₅₀₅₃₆(10) = 1000099999..._<72721> = [1000099999..._<72721>] (0.00%)

Φ₁₅₀₅₃₇(10) = 1000000000..._<94393> = 2709667 × [3690490381..._<94386>] (0.01%)

Φ₁₅₀₅₃₈(10) = 9090909090..._<75268> = 38989343 × 6361164483214477_<16> × [3665428668..._<75245>] (0.03%)

Φ₁₅₀₅₃₉(10) = 9999999999..._<144536> = 301079 × 8212203529_<10> × 275097076147_<12> × [1470191326..._<144510>] (0.02%)

Φ_150540L(10) = 3952678052..._<18432> = 27247288381_<11> × 3422016368233247461_<19> × [4239221132..._<18403>] (0.16%)

Φ_150540M(10) = 2555227054..._<18433> = 143647977721_<12> × 385250886449521_<15> × [4617281300..._<18407>] (0.14%)

Φ₁₅₀₅₄₁(10) = 9000000000..._<147292> = 20979735488071_<14> × [4289853895..._<147279>] (0.01%)

Φ₁₅₀₅₄₂(10) = 1099999890..._<64513> = 150391459 × 715804192730369_<15> × [1021821958..._<64490>] (0.04%)

Φ₁₅₀₅₄₃(10) = 1001000999..._<97777> = 1839936547_<10> × 1804940115877_<13> × [3014177807..._<97755>] (0.02%)

Φ₁₅₀₅₄₄(10) = 9999999999..._<74496> = [9999999999..._<74496>] (0.00%)

Φ₁₅₀₅₄₅(10) = 9000090000..._<120432> = 18065401 × [4981948643..._<120425>] (0.01%)

Φ₁₅₀₅₄₆(10) = 9100000000..._<45600> = 296123983 × [3073037147..._<45592>] (0.02%)

Φ₁₅₀₅₄₇(10) = 9000000000..._<149400> = 1149877987_<10> × 1944465053_<10> × [4025229132..._<149382>] (0.01%)

Φ₁₅₀₅₄₈(10) = 1009999999..._<73921> = 1389228339881_<13> × [7270223123..._<73908>] (0.02%)

Φ₁₅₀₅₄₉(10) = 9009009909..._<83952> = 602197 × 23184547 × 162343245335709043369_<21> × [3974711751..._<83919>] (0.04%)

Φ₁₅₀₅₅₀(10) = 1000009999..._<60201> = [1000009999..._<60201>] (0.00%)

Φ₁₅₀₅₅₁(10) = 1111111111..._<150551> = 57498437921_<11> × 385207015049_<12> × 7808738631274081_<16> × 6424308237..._<150512> (100.00%)

Φ₁₅₀₅₅₂(10) = 9999999999..._<46080> = 451657 × 6557018630870161_<16> × [3376640590..._<46059>] (0.05%)

Φ₁₅₀₅₅₃(10) = 1111111111..._<134785> = 5923333444627_<13> × [1875820636..._<134772>] (0.01%)

Φ₁₅₀₅₅₄(10) = 9090909090..._<75276> = 752771 × 811713029188241_<15> × 926513967968047_<15> × 58579474963977400219_<20> × [2741223662..._<75221>] (0.07%)

Φ₁₅₀₅₅₅(10) = 1109988900..._<80289> = 22884361 × [4850425581..._<80281>] (0.01%)

Φ₁₅₀₅₅₆(10) = 9900990099..._<60912> = [9900990099..._<60912>] (0.00%)

Φ₁₅₀₅₅₇(10) = 9000000000..._<136860> = 20174639 × 920806613 × [4844715821..._<136844>] (0.01%)

Φ₁₅₀₅₅₈(10) = 9100000000..._<47960> = [9100000000..._<47960>] (0.00%)

Φ₁₅₀₅₅₉(10) = 1111111111..._<150559> = [1111111111..._<150559>] (0.00%)

Φ₁₅₀₅₆₀(10) = 1000000000..._<60161> = 7303665601_<10> × 39446117761_<11> × [3471001907..._<60140>] (0.03%)

Φ₁₅₀₅₆₁(10) = 9990000009..._<100368> = [9990000009..._<100368>] (0.00%)

Φ₁₅₀₅₆₂(10) = 1099999999..._<74293> = 45238611331_<11> × [2431551207..._<74282>] (0.01%)

Φ₁₅₀₅₆₃(10) = 1111110999..._<127297> = 38922097440563_<14> × [2854704841..._<127283>] (0.01%)

Φ₁₅₀₅₆₄(10) = 1009998990..._<50185> = [1009998990..._<50185>] (0.00%)

Φ₁₅₀₅₆₅(10) = 9000090000..._<120448> = [9000090000..._<120448>] (0.00%)

Φ₁₅₀₅₆₆(10) = 1099999999..._<69481> = [1099999999..._<69481>] (0.00%)

Φ₁₅₀₅₆₇(10) = 1109999999..._<97081> = 372717767677_<12> × [2978124726..._<97069>] (0.01%)

Φ₁₅₀₅₆₈(10) = 9999000099..._<64960> = 14454529 × 495218153 × 19874976001_<11> × [7028286536..._<64934>] (0.04%)

Φ₁₅₀₅₆₉(10) = 9999999999..._<141440> = 191050680203_<12> × [5234213240..._<141429>] (0.01%)

Φ₁₅₀₅₇₀(10) = 1000999998..._<34273> = 150571 × 662658571 × 565724163691_<12> × 1029808608571_<13> × [1722033816..._<34235>] (0.11%)

Φ₁₅₀₅₇₁(10) = 1111111111..._<150571> = 3312563 × [3354233900..._<150564>] (0.00%)

Φ₁₅₀₅₇₂(10) = 9900990099..._<75284> = 934271404181_<12> × 10912843322809_<14> × [9711082638..._<75259>] (0.03%)

Φ₁₅₀₅₇₃(10) = 1109999999..._<98385> = 18972199 × 405342517 × 777860119 × [1855588369..._<98360>] (0.03%)

Φ₁₅₀₅₇₄(10) = 1099999999..._<74257> = 106069294543_<12> × 66284684511179_<14> × [1564551312..._<74232>] (0.03%)

Φ₁₅₀₅₇₅(10) = 1000010000..._<113761> = [1000010000..._<113761>] (0.00%)

Φ₁₅₀₅₇₆(10) = 1000000009..._<50177> = 3137757949393_<13> × [3186989009..._<50164>] (0.02%)

Φ₁₅₀₅₇₇(10) = 9999999999..._<128772> = 565567213 × [1768136442..._<128764>] (0.01%)

Φ₁₅₀₅₇₈(10) = 9090909090..._<75288> = 15358957 × 45926291 × 1088792714026397_<16> × 768507066647107621733_<21> × [1540249745..._<75238>] (0.07%)

Φ₁₅₀₅₇₉(10) = 1000000000..._<84241> = 301159 × 20567886769_<11> × [1614412385..._<84225>] (0.02%)

Φ_150580L(10) = 2824060999..._<30113> = 43065881 × [6557536811..._<30105>] (0.03%)

Φ_150580M(10) = 3576409999..._<30112> = 602321 × 607509193696921_<15> × 47159498067175310592341_<23> × [2072513015..._<30069>] (0.14%)

Φ₁₅₀₅₈₁(10) = 9000000000..._<144012> = 150882163 × [5964919789..._<144004>] (0.01%)

Φ₁₅₀₅₈₂(10) = 1098901098..._<50193> = 150583 × 60371486023_<11> × 845249506441933_<15> × [1430098235..._<50162>] (0.06%)

Φ₁₅₀₅₈₃(10) = 1111111111..._<150583> = 602333 × 904100333 × [2040347799..._<150568>] (0.01%)

Φ₁₅₀₅₈₄(10) = 1000099999..._<64513> = [1000099999..._<64513>] (0.00%)

Φ₁₅₀₅₈₅(10) = 1109988900..._<80305> = 8989109835151_<13> × 14082820030561_<14> × [8768237798..._<80278>] (0.03%)

Φ₁₅₀₅₈₆(10) = 9090909090..._<68544> = [9090909090..._<68544>] (0.00%)

Φ₁₅₀₅₈₇(10) = 1111111111..._<150587> = 17881905077_<11> × 7949058009834310093_<19> × 519041823604897911577681_<24> × [1506002472..._<150534>] (0.04%)

Φ₁₅₀₅₈₈(10) = 9999990000..._<48576> = 150589 × 1228195729_<10> × 67687975555021_<14> × [7987800477..._<48548>] (0.06%)

Φ₁₅₀₅₈₉(10) = 1111111111..._<150589> = [1111111111..._<150589>] (0.00%)

Φ₁₅₀₅₉₀(10) = 9999999999..._<53280> = [9999999999..._<53280>] (0.00%)

Φ₁₅₀₅₉₁(10) = 9009009909..._<84000> = [9009009909..._<84000>] (0.00%)

Φ₁₅₀₅₉₂(10) = 1000000000..._<69121> = [1000000000..._<69121>] (0.00%)

Φ₁₅₀₅₉₃(10) = 9000000000..._<146880> = 11143883 × 225287129 × [3584838417..._<146865>] (0.01%)

Φ₁₅₀₅₉₄(10) = 9100000000..._<47520> = 451783 × [2014241350..._<47515>] (0.01%)

Φ₁₅₀₅₉₅(10) = 9000090000..._<120472> = [9000090000..._<120472>] (0.00%)

Φ₁₅₀₅₉₆(10) = 9900990099..._<75296> = 908412075041381_<15> × [1089922775..._<75282>] (0.02%)

Φ₁₅₀₅₉₇(10) = 1001000999..._<96769> = [1001000999..._<96769>] (0.00%)

Φ₁₅₀₅₉₈(10) = 9090910000..._<62280> = [9090910000..._<62280>] (0.00%)

Φ₁₅₀₅₉₉(10) = 9000000000..._<148464> = [9000000000..._<148464>] (0.00%)

Φ₁₅₀₆₀₀(10) = 9999999999..._<40000> = 1354369293601_<13> × 1485863652547515130801_<22> × [4969171001..._<39967>] (0.08%)

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