Factorization of cyclotomic number Phi

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Φ₁₃₅₃₀₁(10) = 1111111111..._<135301> = 17859733 × 21648161 × 73874347 × 286767763481_<12> × 1289375461271976917_<19> × [1052102698..._<135249>] (0.04%)

Φ₁₃₅₃₀₂(10) = 9090909090..._<67650> = 4761953891_<10> × 605379533102172089_<18> × [3153511324..._<67623>] (0.04%)

Φ₁₃₅₃₀₃(10) = 9009009909..._<72576> = 21648481 × 3581249054293_<13> × [1162024035..._<72557>] (0.03%)

Φ₁₃₅₃₀₄(10) = 1000099999..._<62401> = 7284943255201_<13> × [1372831558..._<62388>] (0.02%)

Φ₁₃₅₃₀₅(10) = 9000090000..._<108240> = [9000090000..._<108240>] (0.00%)

Φ₁₃₅₃₀₆(10) = 1000999998..._<45097> = [1000999998..._<45097>] (0.00%)

Φ₁₃₅₃₀₇(10) = 9000000000..._<134536> = [9000000000..._<134536>] (0.00%)

Φ₁₃₅₃₀₈(10) = 9900990099..._<67652> = 23002361 × 904669289 × [4757911544..._<67636>] (0.02%)

Φ₁₃₅₃₀₉(10) = 9009009009..._<82368> = [9009009009..._<82368>] (0.00%)

Φ₁₃₅₃₁₀(10) = 9091000909..._<46368> = 32391996211_<11> × 9692839151283961_<16> × 13393513461117371_<17> × [2161864469..._<46326>] (0.09%)

Φ₁₃₅₃₁₁(10) = 9000000000..._<123000> = 49794449 × [1807430382..._<122993>] (0.01%)

Φ₁₃₅₃₁₂(10) = 1000000009..._<45089> = [1000000009..._<45089>] (0.00%)

Φ₁₃₅₃₁₃(10) = 9000000000..._<132388> = [9000000000..._<132388>] (0.00%)

Φ₁₃₅₃₁₄(10) = 1099999999..._<65297> = 143070604423_<12> × [7688511587..._<65285>] (0.02%)

Φ₁₃₅₃₁₅(10) = 9990000009..._<69120> = 175368241 × 2175053311_<10> × [2619055108..._<69103>] (0.03%)

Φ₁₃₅₃₁₆(10) = 9900990099..._<67656> = 405949 × 6089221 × 117724921 × 35039036672749_<14> × [9710125622..._<67622>] (0.05%)

Φ₁₃₅₃₁₇(10) = 1111110999..._<106993> = 3247609 × 276046681 × [1239399113..._<106978>] (0.01%)

Φ₁₃₅₃₁₈(10) = 9100000000..._<42696> = 7713127 × [1179806840..._<42690>] (0.02%)

Φ₁₃₅₃₁₉(10) = 1111111111..._<135319> = 548041951 × [2027419815..._<135310>] (0.01%)

Φ₁₃₅₃₂₀(10) = 9999000099..._<50688> = 12985307201_<11> × [7700241469..._<50678>] (0.02%)

Φ₁₃₅₃₂₁(10) = 1109999999..._<88033> = 70366921 × 2601425789311_<13> × [6063773757..._<88012>] (0.02%)

Φ₁₃₅₃₂₂(10) = 1099999999..._<61501> = [1099999999..._<61501>] (0.00%)

Φ₁₃₅₃₂₃(10) = 9000000000..._<134160> = [9000000000..._<134160>] (0.00%)

Φ₁₃₅₃₂₄(10) = 9999999999..._<38448> = 74258512500061_<14> × [1346646958..._<38435>] (0.04%)

Φ₁₃₅₃₂₅(10) = 9999900000..._<108240> = 2977151 × 122052324001_<12> × [2752001975..._<108223>] (0.02%)

Φ₁₃₅₃₂₆(10) = 1099999999..._<66641> = [1099999999..._<66641>] (0.00%)

Φ₁₃₅₃₂₇(10) = 1109999999..._<88921> = [1109999999..._<88921>] (0.00%)

Φ₁₃₅₃₂₈(10) = 9999999999..._<67648> = 18375726972038113_<17> × [5441961569..._<67632>] (0.02%)

Φ₁₃₅₃₂₉(10) = 1111111111..._<135329> = 401952621111757_<15> × 3400056295910957_<16> × 28995488492650319_<17> × 43565497582552453_<17> × [6436109276..._<135265>] (0.05%)

Φ₁₃₅₃₃₀(10) = 1098890109..._<33217> = 2841931 × 3247921 × 16891400840731_<14> × 31104037709161_<14> × [2265963136..._<33177>] (0.12%)

Φ₁₃₅₃₃₁(10) = 9000000900..._<115992> = 6990116813_<10> × 455909839351_<12> × 399793957841881_<15> × [7063873740..._<115956>] (0.03%)

Φ₁₃₅₃₃₂(10) = 1009999999..._<64681> = 676661 × [1492623337..._<64675>] (0.01%)

Φ₁₃₅₃₃₃(10) = 1001000999..._<81961> = 14657917231_<11> × [6829080722..._<81950>] (0.01%)

Φ₁₃₅₃₃₄(10) = 1099999999..._<67081> = 22871447 × 33698167 × [1427226053..._<67066>] (0.02%)

Φ₁₃₅₃₃₅(10) = 9000090000..._<108264> = 2099316521_<10> × [4287152466..._<108255>] (0.01%)

Φ₁₃₅₃₃₆(10) = 1000099999..._<45105> = 5007433 × 45003426242881_<14> × 2554005110412241_<16> × [1737644536..._<45069>] (0.08%)

Φ₁₃₅₃₃₇(10) = 1111111111..._<120385> = [1111111111..._<120385>] (0.00%)

Φ₁₃₅₃₃₈(10) = 1000000099..._<57961> = 51428441 × 77954689 × [2494333048..._<57945>] (0.03%)

Φ₁₃₅₃₃₉(10) = 1109999999..._<89377> = [1109999999..._<89377>] (0.00%)

Φ_135340L(10) = 2796099999..._<26401> = 162835522413181_<15> × [1717131470..._<26387>] (0.05%)

Φ_135340M(10) = 3541000000..._<26400> = [3541000000..._<26400>] (0.00%)

Φ₁₃₅₃₄₁(10) = 9000000000..._<132000> = 1082729 × [8312329308..._<131994>] (0.00%)

Φ₁₃₅₃₄₂(10) = 9990010000..._<44064> = 29951996653_<11> × [3335340249..._<44054>] (0.02%)

Φ₁₃₅₃₄₃(10) = 1111111111..._<120289> = 21654881 × 2080221911_<10> × [2466561921..._<120272>] (0.01%)

Φ₁₃₅₃₄₄(10) = 1000000009..._<61441> = 174999793 × [5714292530..._<61432>] (0.01%)

Φ₁₃₅₃₄₅(10) = 9009100000..._<61824> = 7110214231_<10> × 20192739888721_<14> × [6274851761..._<61801>] (0.04%)

Φ₁₃₅₃₄₆(10) = 9090909090..._<62640> = [9090909090..._<62640>] (0.00%)

Φ₁₃₅₃₄₇(10) = 1111111111..._<135347> = 4515988003_<10> × [2460394293..._<135337>] (0.01%)

Φ₁₃₅₃₄₈(10) = 1009998990..._<45113> = 135349 × 1182944362309_<13> × [6308143572..._<45095>] (0.04%)

Φ₁₃₅₃₄₉(10) = 1111111111..._<135349> = [1111111111..._<135349>] (0.00%)

Φ₁₃₅₃₅₀(10) = 1000009999..._<54121> = 2030251 × 23958032801_<11> × 138786671851_<12> × [1481343217..._<54093>] (0.05%)

Φ₁₃₅₃₅₁(10) = 9999999999..._<90072> = [9999999999..._<90072>] (0.00%)

Φ₁₃₅₃₅₂(10) = 1000099999..._<57985> = 135353 × 16307615017_<11> × [4530906404..._<57969>] (0.03%)

Φ₁₃₅₃₅₃(10) = 1111111111..._<135353> = 209797151 × [5296121066..._<135344>] (0.01%)

Φ₁₃₅₃₅₄(10) = 9100000000..._<42432> = 4923369655188967_<16> × [1848327596..._<42417>] (0.04%)

Φ₁₃₅₃₅₅(10) = 9000090000..._<93280> = [9000090000..._<93280>] (0.00%)

Φ₁₃₅₃₅₆(10) = 9900990099..._<58752> = 8703716331181_<13> × [1137558914..._<58740>] (0.02%)

Φ₁₃₅₃₅₇(10) = 9009009009..._<90236> = [9009009009..._<90236>] (0.00%)

Φ₁₃₅₃₅₈(10) = 9090909090..._<67678> = [9090909090..._<67678>] (0.00%)

Φ₁₃₅₃₅₉(10) = 1111110999..._<113761> = [1111110999..._<113761>] (0.00%)

Φ₁₃₅₃₆₀(10) = 9999999999..._<35328> = [9999999999..._<35328>] (0.00%)

Φ₁₃₅₃₆₁(10) = 9000000000..._<134532> = [9000000000..._<134532>] (0.00%)

Φ₁₃₅₃₆₂(10) = 1099999999..._<66353> = 26238206866664813_<17> × [4192359659..._<66336>] (0.02%)

Φ₁₃₅₃₆₃(10) = 9009009009..._<90240> = 2165809 × [4159650739..._<90234>] (0.01%)

Φ₁₃₅₃₆₄(10) = 1009999999..._<66025> = [1009999999..._<66025>] (0.00%)

Φ₁₃₅₃₆₅(10) = 9000090000..._<108288> = 812191 × 3248761 × [3410915155..._<108276>] (0.01%)

Φ₁₃₅₃₆₆(10) = 1098900989..._<35041> = 135367 × 2707321 × [2998513497..._<35029>] (0.03%)

Φ₁₃₅₃₆₇(10) = 1111111111..._<135367> = 24869354507_<11> × 4122402061906136284267_<22> × [1083783739..._<135335>] (0.02%)

Φ₁₃₅₃₆₈(10) = 9999000099..._<67680> = 9375181577_<10> × 140529040369_<12> × 3488136904081_<13> × [2175791532..._<67647>] (0.05%)

Φ₁₃₅₃₆₉(10) = 1000000000..._<82369> = 773909411358799_<15> × [1292140895..._<82354>] (0.02%)

Φ₁₃₅₃₇₀(10) = 1099989000..._<54145> = 66195931 × [1661716941..._<54137>] (0.01%)

Φ₁₃₅₃₇₁(10) = 9000000000..._<127392> = 1082969 × [8310487188..._<127386>] (0.00%)

Φ₁₃₅₃₇₂(10) = 9901000000..._<43456> = 6633229 × 2190318961_<10> × 16421941311049_<14> × [4149752653..._<43427>] (0.07%)

Φ₁₃₅₃₇₃(10) = 1111110999..._<114145> = 99634529 × [1115186683..._<114137>] (0.01%)

Φ₁₃₅₃₇₄(10) = 1099999999..._<66977> = [1099999999..._<66977>] (0.00%)

Φ₁₃₅₃₇₅(10) = 1000000000..._<68401> = [1000000000..._<68401>] (0.00%)

Φ₁₃₅₃₇₆(10) = 9999999900..._<67680> = [9999999900..._<67680>] (0.00%)

Φ₁₃₅₃₇₇(10) = 1111111111..._<118801> = [1111111111..._<118801>] (0.00%)

Φ₁₃₅₃₇₈(10) = 9999999990..._<42768> = 2668248394849_<13> × [3747777009..._<42756>] (0.03%)

Φ₁₃₅₃₇₉(10) = 9000000000..._<134640> = 15162449 × 242057653 × 2157845682427_<13> × [1136407144..._<134613>] (0.02%)

Φ_135380L(10) = 3537460769..._<23184> = 62951701 × 469362461 × 533126441 × [2245668193..._<23159>] (0.11%)

Φ_135380M(10) = 2798897498..._<23185> = [2798897498..._<23185>] (0.00%)

Φ₁₃₅₃₈₁(10) = 9009009009..._<90252> = 2090282641_<10> × [4309947770..._<90243>] (0.01%)

Φ₁₃₅₃₈₂(10) = 9090909090..._<60480> = 18005807 × 20391065311007_<14> × [2476023763..._<60460>] (0.03%)

Φ₁₃₅₃₈₃(10) = 9000000000..._<131688> = 8393747 × 740003479 × [1448948244..._<131673>] (0.01%)

Φ₁₃₅₃₈₄(10) = 1000099999..._<45121> = 3113833 × 909477219841_<12> × [3531476208..._<45102>] (0.04%)

Φ₁₃₅₃₈₅(10) = 9000090000..._<108304> = 795362776471_<12> × 1573274426441_<13> × [7192454236..._<108280>] (0.02%)

Φ₁₃₅₃₈₆(10) = 1099999999..._<67069> = [1099999999..._<67069>] (0.00%)

Φ₁₃₅₃₈₇(10) = 1000000000..._<77113> = [1000000000..._<77113>] (0.00%)

Φ₁₃₅₃₈₈(10) = 9900990099..._<57600> = 135389 × [7312994481..._<57595>] (0.01%)

Φ₁₃₅₃₈₉(10) = 1111111111..._<135389> = [1111111111..._<135389>] (0.00%)

Φ₁₃₅₃₉₀(10) = 9100090999..._<36096> = 12997441 × 33035161 × 43189411 × 4098330441451_<13> × [1197366765..._<36062>] (0.10%)

Φ₁₃₅₃₉₁(10) = 1111111111..._<135391> = 211209961 × [5260694646..._<135382>] (0.01%)

Φ₁₃₅₃₉₂(10) = 9999999999..._<67680> = 406177 × 2249294509793_<13> × 239594665087942662529_<21> × [4568369312..._<67642>] (0.06%)

Φ₁₃₅₃₉₃(10) = 9009009009..._<90260> = 4061791 × 22475239 × 318173551 × [3101637612..._<90238>] (0.02%)

Φ₁₃₅₃₉₄(10) = 9090910000..._<54864> = [9090910000..._<54864>] (0.00%)

Φ₁₃₅₃₉₅(10) = 1111099999..._<99937> = 270791 × 5686591 × 8936071 × 351214631 × [2299046301..._<99909>] (0.03%)

Φ₁₃₅₃₉₆(10) = 1000000999..._<45121> = 5944593604249_<13> × [1682202462..._<45108>] (0.03%)

Φ₁₃₅₃₉₇(10) = 9000000000..._<133420> = [9000000000..._<133420>] (0.00%)

Φ₁₃₅₃₉₈(10) = 9090909090..._<67698> = 933840007 × [9734974966..._<67689>] (0.01%)

Φ₁₃₅₃₉₉(10) = 1000000000..._<81841> = 270799 × 10454120773867_<14> × [3532363842..._<81822>] (0.02%)

Φ₁₃₅₄₀₀(10) = 1000000000..._<54081> = 653982001 × 377094599331601_<15> × [4054934950..._<54057>] (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