Factorization of cyclotomic number Phi

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Φ₂₇₀₁₀₁(10) = 1111111111..._<245233> = 540203 × (2056839949..._<245227>) (0.00%)

Φ₂₇₀₁₀₂(10) = 1098900989..._<75169> = 1620613 × 6035159089_<10> × [1123545133..._<75153>] (0.02%)

Φ₂₇₀₁₀₃(10) = 9000000000..._<261360> = 5638191065279_<13> × (1596256653..._<261348>) (0.00%)

Φ₂₇₀₁₀₄(10) = 1000099999..._<127873> = 154499489 × [6473160568..._<127864>] (0.01%)

Φ₂₇₀₁₀₅(10) = 9009099100..._<130880> = 1620631 × 18907351 × 689307961 × [4265335931..._<130858>] (0.02%)

Φ₂₇₀₁₀₆(10) = 1099999999..._<130369> = 45377809 × [2424092357..._<130361>] (0.01%)

Φ₂₇₀₁₀₇(10) = 9000000000..._<268800> = (9000000000..._<268800>) (0.00%)

Φ₂₇₀₁₀₈(10) = 9999999999..._<86400> = 1350541 × [7404440146..._<86394>] (0.01%)

Φ₂₇₀₁₀₉(10) = 1111110999..._<226321> = 366514143409_<12> × (3031563774..._<226309>) (0.01%)

Φ₂₇₀₁₁₀(10) = 1099989000..._<108041> = 280539487321_<12> × 1062222431051_<13> × [3691296025..._<108017>] (0.02%)

Φ₂₇₀₁₁₁(10) = 1109999999..._<178713> = [1109999999..._<178713>] (0.00%)

Φ₂₇₀₁₁₂(10) = 1000000000..._<128833> = 1080449 × [9255411407..._<128826>] (0.00%)

Φ₂₇₀₁₁₃(10) = 9000000000..._<254208> = 1620679 × (5553227998..._<254202>) (0.00%)

Φ₂₇₀₁₁₄(10) = 9100000000..._<83088> = [9100000000..._<83088>] (0.00%)

Φ₂₇₀₁₁₅(10) = 1111099999..._<213313> = 723908201 × (1534863120..._<213304>) (0.00%)

Φ₂₇₀₁₁₆(10) = 9900990099..._<105120> = [9900990099..._<105120>] (0.00%)

Φ₂₇₀₁₁₇(10) = 9990000009..._<180072> = [9990000009..._<180072>] (0.00%)

Φ₂₇₀₁₁₈(10) = 9090909090..._<135058> = [9090909090..._<135058>] (0.00%)

Φ₂₇₀₁₁₉(10) = 9000000000..._<268944> = 44299517 × 85897843 × (2365164000..._<268929>) (0.01%)

Φ₂₇₀₁₂₀(10) = 9999000100..._<72000> = [9999000100..._<72000>] (0.00%)

Φ₂₇₀₁₂₁(10) = 1111111111..._<270121> = 1634871692746307_<16> × 64153540708747871_<17> × (1059383454..._<270089>) (0.01%)

Φ₂₇₀₁₂₂(10) = 1099999999..._<133901> = 1387886837_<10> × 8451847259_<10> × 8994129598613_<13> × 103667124836167_<15> × 129031503651397_<15> × [7794549783..._<133840>] (0.04%)

Φ₂₇₀₁₂₃(10) = 9009009909..._<146016> = 152882594803_<12> × 29874005752333_<14> × [1972538820..._<145992>] (0.02%)

Φ₂₇₀₁₂₄(10) = 9900990099..._<135060> = 247163461 × [4005847004..._<135052>] (0.01%)

Φ₂₇₀₁₂₅(10) = 9999999999..._<216000> = 32415001 × (3084991421..._<215993>) (0.00%)

Φ₂₇₀₁₂₆(10) = 9990010000..._<87696> = [9990010000..._<87696>] (0.00%)

Φ₂₇₀₁₂₇(10) = 1111111111..._<226561> = 6512221717_<10> × 871947265333_<12> × (1956762389..._<226539>) (0.01%)

Φ₂₇₀₁₂₈(10) = 9999999900..._<135056> = [9999999900..._<135056>] (0.00%)

Φ₂₇₀₁₂₉(10) = 1109999999..._<178417> = [1109999999..._<178417>] (0.00%)

Φ₂₇₀₁₃₀(10) = 1099988890..._<86785> = 270131 × [4072057224..._<86779>] (0.01%)

Φ₂₇₀₁₃₁(10) = 1111111111..._<270131> = 3241573 × 166940959 × 2073508261673119_<16> × (9902230014..._<270100>) (0.01%)

Φ₂₇₀₁₃₂(10) = 1009998990..._<90041> = [1009998990..._<90041>] (0.00%)

Φ₂₇₀₁₃₃(10) = 1111111111..._<270133> = 12426119 × 101570009 × (8803522757..._<270117>) (0.01%)

Φ₂₇₀₁₃₄(10) = 1099999999..._<130681> = [1099999999..._<130681>] (0.00%)

Φ₂₇₀₁₃₅(10) = 9999999999..._<133056> = 540271 × [1850922962..._<133051>] (0.00%)

Φ₂₇₀₁₃₆(10) = 9999000099..._<135064> = [9999000099..._<135064>] (0.00%)

Φ₂₇₀₁₃₇(10) = 1000000100..._<223777> = (1000000100..._<223777>) (0.00%)

Φ₂₇₀₁₃₈(10) = 9100000000..._<81840> = 326056567 × 524847608407_<12> × [5317594519..._<81820>] (0.02%)

Φ₂₇₀₁₃₉(10) = 9000000000..._<268200> = 1080557 × (8329037709..._<268194>) (0.00%)

Φ_270140L(10) = 3541003541..._<49824> = [3541003541..._<49824>] (0.00%)

Φ_270140M(10) = 2796097203..._<49825> = 177296034533801_<15> × [1577078252..._<49811>] (0.03%)

Φ₂₇₀₁₄₁(10) = 1109999999..._<176593> = 2161129 × [5136204271..._<176586>] (0.00%)

Φ₂₇₀₁₄₂(10) = 1099999999..._<127945> = 270143 × 552128715018211_<15> × [7374942391..._<127924>] (0.02%)

Φ₂₇₀₁₄₃(10) = 1111111111..._<270143> = 127352433919_<12> × 1894594335335258639_<19> × (4605046359..._<270113>) (0.01%)

Φ₂₇₀₁₄₄(10) = 9999999999..._<76032> = [9999999999..._<76032>] (0.00%)

Φ₂₇₀₁₄₅(10) = 1111099999..._<213505> = (1111099999..._<213505>) (0.00%)

Φ₂₇₀₁₄₆(10) = 1099999999..._<134321> = 44302623256207_<14> × [2482922949..._<134307>] (0.01%)

Φ₂₇₀₁₄₇(10) = 1109999999..._<169473> = [1109999999..._<169473>] (0.00%)

Φ₂₇₀₁₄₈(10) = 9900990099..._<135072> = [9900990099..._<135072>] (0.00%)

Φ₂₇₀₁₄₉(10) = 1111111111..._<239201> = 228989098361_<12> × 604717190243_<12> × (8023989820..._<239177>) (0.01%)

Φ₂₇₀₁₅₀(10) = 9999900001..._<72000> = 5132851 × 2672053651_<10> × [7291079366..._<71984>] (0.02%)

Φ₂₇₀₁₅₁(10) = 9000000900..._<231552> = 1593528357359_<13> × 457673778851507_<15> × (1234032862..._<231526>) (0.01%)

Φ₂₇₀₁₅₂(10) = 9999000099..._<135072> = 810457 × 514574723521_<12> × [2397607815..._<135055>] (0.01%)

Φ₂₇₀₁₅₃(10) = 1001000999..._<166177> = [1001000999..._<166177>] (0.00%)

Φ₂₇₀₁₅₄(10) = 9090909090..._<135076> = [9090909090..._<135076>] (0.00%)

Φ₂₇₀₁₅₅(10) = 1111099999..._<212801> = (1111099999..._<212801>) (0.00%)

Φ₂₇₀₁₅₆(10) = 9901000000..._<87952> = 183142003187149_<15> × [5406187454..._<87938>] (0.02%)

Φ₂₇₀₁₅₇(10) = 1111111111..._<270157> = 27696561374601241_<17> × (4011729456..._<270140>) (0.01%)

Φ₂₇₀₁₅₈(10) = 9090910000..._<110616> = [9090910000..._<110616>] (0.00%)

Φ₂₇₀₁₅₉(10) = 9009009009..._<180104> = 29177173 × [3087690849..._<180097>] (0.00%)

Φ₂₇₀₁₆₀(10) = 9999999900..._<97920> = 39970712321_<11> × [2501831796..._<97910>] (0.01%)

Φ₂₇₀₁₆₁(10) = 1111111111..._<250561> = 3569367133_<10> × (3112907890..._<250551>) (0.00%)

Φ₂₇₀₁₆₂(10) = 1000000000..._<90037> = 6483889 × 57004183 × [2705563325..._<90022>] (0.02%)

Φ₂₇₀₁₆₃(10) = 1111111111..._<270163> = 89664272714369_<14> × 1866555551028361_<16> × (6638915496..._<270133>) (0.01%)

Φ₂₇₀₁₆₄(10) = 9900990099..._<121856> = [9900990099..._<121856>] (0.00%)

Φ₂₇₀₁₆₅(10) = 1109988789..._<118081> = [1109988789..._<118081>] (0.00%)

Φ₂₇₀₁₆₆(10) = 1099999999..._<124681> = 270167 × [4071555741..._<124675>] (0.00%)

Φ₂₇₀₁₆₇(10) = 1111111111..._<270167> = 979585167703187_<15> × 30111798604818757_<17> × (3766852309..._<270135>) (0.01%)

Φ₂₇₀₁₆₈(10) = 1000099999..._<90049> = [1000099999..._<90049>] (0.00%)

Φ₂₇₀₁₆₉(10) = 1111111111..._<257041> = 1919289761747_<13> × (5789178545..._<257028>) (0.00%)

Φ₂₇₀₁₇₀(10) = 1099989000..._<108065> = 1350851 × 100369440198691_<15> × [8112961063..._<108044>] (0.02%)

Φ₂₇₀₁₇₁(10) = 1001000999..._<163681> = 116175691369_<12> × [8616268930..._<163669>] (0.01%)

Φ₂₇₀₁₇₂(10) = 1009999999..._<115777> = [1009999999..._<115777>] (0.00%)

Φ₂₇₀₁₇₃(10) = 9000000000..._<266400> = 540347 × 810519001 × 60814664381711_<14> × (3379078258..._<266372>) (0.01%)

Φ₂₇₀₁₇₄(10) = 9100000000..._<87552> = [9100000000..._<87552>] (0.00%)

Φ₂₇₀₁₇₅(10) = 1000010000..._<212001> = (1000010000..._<212001>) (0.00%)

Φ₂₇₀₁₇₆(10) = 9999999999..._<135072> = 8105281 × [1233763517..._<135066>] (0.01%)

Φ₂₇₀₁₇₇(10) = 9009009009..._<180116> = 1938249799_<10> × 3407436660637_<13> × 33922535237671_<14> × [4021158387..._<180081>] (0.02%)

Φ₂₇₀₁₇₈(10) = 9090909090..._<135088> = 12158011 × 75649841 × 365499354824237_<15> × [2704270612..._<135059>] (0.02%)

Φ₂₇₀₁₇₉(10) = 1111110999..._<213697> = 289707970406401_<15> × (3835279362..._<213682>) (0.01%)

Φ_270180L(10) = 9048981950..._<33696> = 513071821 × 520742500381_<12> × [3386870060..._<33676>] (0.06%)

Φ_270180M(10) = 1105097795..._<33697> = 14449669299408069326881_<23> × 769236860099296774693801_<24> × [9942205101..._<33650>] (0.14%)

Φ₂₇₀₁₈₁(10) = 1111111111..._<242881> = (1111111111..._<242881>) (0.00%)

Φ₂₇₀₁₈₂(10) = 1099999999..._<122801> = 1621093 × 184804489 × 883611240717767_<15> × [4155382499..._<122771>] (0.02%)

Φ₂₇₀₁₈₃(10) = 1109999999..._<178305> = [1109999999..._<178305>] (0.00%)

Φ₂₇₀₁₈₄(10) = 9999000099..._<135088> = [9999000099..._<135088>] (0.00%)

Φ₂₇₀₁₈₅(10) = 9000090000..._<216144> = 8105551 × 135479249293441_<15> × (8195803327..._<216123>) (0.01%)

Φ₂₇₀₁₈₆(10) = 9999999000..._<77112> = 3161716573_<10> × [3162838530..._<77103>] (0.01%)

Φ₂₇₀₁₈₇(10) = 9000000000..._<268920> = 2701871 × 3157405283_<10> × 3274503787427_<13> × (3221825919..._<268892>) (0.01%)

Φ₂₇₀₁₈₈(10) = 9900990099..._<135092> = 81191494001_<11> × [1219461499..._<135082>] (0.01%)

Φ₂₇₀₁₈₉(10) = 9999999990..._<180108> = 242058002077_<12> × [4131241233..._<180097>] (0.01%)

Φ₂₇₀₁₉₀(10) = 9091000000..._<105280> = 810571 × [1121555051..._<105275>] (0.01%)

Φ₂₇₀₁₉₁(10) = 1111111111..._<270191> = 55659347 × (1996270475..._<270183>) (0.00%)

Φ₂₇₀₁₉₂(10) = 9999999900..._<82944> = 7726500405937_<13> × [1294246990..._<82932>] (0.02%)

Φ₂₇₀₁₉₃(10) = 1000000000..._<203281> = (1000000000..._<203281>) (0.00%)

Φ₂₇₀₁₉₄(10) = 1099999999..._<132497> = 810583 × 228039142703_<12> × [5950943052..._<132479>] (0.01%)

Φ₂₇₀₁₉₅(10) = 1109988900..._<144097> = [1109988900..._<144097>] (0.00%)

Φ₂₇₀₁₉₆(10) = 1009999999..._<130681> = 24317641 × 31072541 × 729529201 × [1832232073..._<130657>] (0.02%)

Φ₂₇₀₁₉₇(10) = 9000000000..._<268320> = 2853280321_<10> × (3154264210..._<268311>) (0.00%)

Φ₂₇₀₁₉₈(10) = 9990010000..._<84672> = 3782773 × 9727129 × 332614864995859_<15> × [8162614990..._<84644>] (0.03%)

Φ₂₇₀₁₉₉(10) = 9000000000..._<255960> = 1080797 × (8327188176..._<255954>) (0.00%)

Φ₂₇₀₂₀₀(10) = 9999999999..._<92160> = 19994801 × 24318001 × 471769201 × 44635418801_<11> × [9766654911..._<92126>] (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