Factorization of cyclotomic number Phi

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Φ₈₂₅₀₁(10) = 1111111111..._<73921> = [1111111111..._<73921>] (0.00%)

Φ₈₂₅₀₂(10) = 9090910000..._<34440> = 150236143 × 8288672732279689_<16> × [7300421583..._<34416>] (0.07%)

Φ₈₂₅₀₃(10) = 1001000999..._<53857> = 990037 × 38611236848923_<14> × 8922700879941997_<16> × [2934763019..._<53821>] (0.07%)

Φ₈₂₅₀₄(10) = 9999000099..._<41248> = 22523593 × 242570563497150656401_<21> × [1830125214..._<41221>] (0.07%)

Φ₈₂₅₀₅(10) = 1111099999..._<63617> = [1111099999..._<63617>] (0.00%)

Φ₈₂₅₀₆(10) = 1098901098..._<27501> = 13200961 × [8324402283..._<27493>] (0.03%)

Φ₈₂₅₀₇(10) = 1111111111..._<82507> = 495043 × [2244473936..._<82501>] (0.01%)

Φ₈₂₅₀₈(10) = 9900990099..._<41252> = 907589 × [1090911205..._<41247>] (0.01%)

Φ₈₂₅₀₉(10) = 1109999889..._<47137> = 58911427 × 1626482718328987_<16> × [1158441052..._<47114>] (0.05%)

Φ₈₂₅₁₀(10) = 9091000000..._<31968> = 171290761 × [5307349880..._<31960>] (0.03%)

Φ₈₂₅₁₁(10) = 1111111111..._<69121> = 495067 × 1081696106921_<13> × [2074857359..._<69103>] (0.03%)

Φ₈₂₅₁₂(10) = 1000000000..._<27361> = 14109553 × [7087396744..._<27353>] (0.03%)

Φ₈₂₅₁₃(10) = 9000000000..._<81648> = 330053 × [2726834781..._<81643>] (0.01%)

Φ₈₂₅₁₄(10) = 9090909090..._<41256> = 412571 × [2203477484..._<41251>] (0.01%)

Φ₈₂₅₁₅(10) = 1109988900..._<44001> = [1109988900..._<44001>] (0.00%)

Φ₈₂₅₁₆(10) = 1000000000..._<35281> = [1000000000..._<35281>] (0.00%)

Φ₈₂₅₁₇(10) = 1111111111..._<75601> = 1315981622984449_<16> × [8443211452..._<75585>] (0.02%)

Φ₈₂₅₁₈(10) = 9100000000..._<25856> = [9100000000..._<25856>] (0.00%)

Φ₈₂₅₁₉(10) = 9000000000..._<81880> = 509430551387_<12> × 1424002431999283_<16> × 1818505806775249357_<19> × [6822320210..._<81835>] (0.06%)

Φ₈₂₅₂₀(10) = 1000099999..._<32993> = [1000099999..._<32993>] (0.00%)

Φ₈₂₅₂₁(10) = 1001000999..._<53665> = 13863529 × [7220390998..._<53657>] (0.01%)

Φ₈₂₅₂₂(10) = 1000000000..._<36301> = [1000000000..._<36301>] (0.00%)

Φ₈₂₅₂₃(10) = 9000000900..._<70728> = [9000000900..._<70728>] (0.00%)

Φ₈₂₅₂₄(10) = 9999999999..._<24288> = 165049 × 26481126361_<11> × 1439149395150169_<16> × [1589808334..._<24258>] (0.13%)

Φ₈₂₅₂₅(10) = 9999900000..._<66000> = 187460754184349551_<18> × [5334396547..._<65983>] (0.03%)

Φ₈₂₅₂₆(10) = 9090909090..._<41262> = 247579 × 458857846687_<12> × 6270036886579_<13> × 504573451354013_<15> × [2529419462..._<41218>] (0.11%)

Φ₈₂₅₂₇(10) = 9009009009..._<55016> = 92997035437_<11> × [9687415267..._<55005>] (0.02%)

Φ₈₂₅₂₈(10) = 9999999999..._<41248> = [9999999999..._<41248>] (0.00%)

Φ₈₂₅₂₉(10) = 1111111111..._<82529> = 137163199 × 40956065028533_<14> × [1977887843..._<82507>] (0.03%)

Φ₈₂₅₃₀(10) = 1000999998..._<18721> = [1000999998..._<18721>] (0.00%)

Φ₈₂₅₃₁(10) = 1111111111..._<82531> = [1111111111..._<82531>] (0.00%)

Φ₈₂₅₃₂(10) = 1009999999..._<40297> = 742789 × 3218749 × [4224436620..._<40284>] (0.03%)

Φ₈₂₅₃₃(10) = 9009009009..._<48000> = 495199 × [1819270436..._<47995>] (0.01%)

Φ₈₂₅₃₄(10) = 1099999999..._<39817> = 1478417263619_<13> × [7440389307..._<39804>] (0.03%)

Φ₈₂₅₃₅(10) = 1111099999..._<62081> = 499682025103231_<15> × [2223614106..._<62066>] (0.02%)

Φ₈₂₅₃₆(10) = 9999000100..._<25920> = 175636609 × 737624233 × 39916142857_<11> × [1933560586..._<25893>] (0.11%)

Φ₈₂₅₃₇(10) = 1111110999..._<65233> = [1111110999..._<65233>] (0.00%)

Φ₈₂₅₃₈(10) = 9090909090..._<41268> = [9090909090..._<41268>] (0.00%)

Φ₈₂₅₃₉(10) = 9999999999..._<54972> = 165079 × 40870763005213_<14> × [1482161148..._<54954>] (0.03%)

Φ_82540L(10) = 3576409999..._<16504> = 4539701 × 185848714801_<12> × 10063580262024301_<17> × 309041625306587157844381_<24> × [1362984744..._<16447>] (0.35%)

Φ_82540M(10) = 2824060999..._<16505> = 6685741 × 10730201 × [3936558117..._<16491>] (0.08%)

Φ₈₂₅₄₁(10) = 9000000000..._<81084> = 165083 × 660329 × [8256192038..._<81073>] (0.01%)

Φ₈₂₅₄₂(10) = 1098901098..._<27513> = [1098901098..._<27513>] (0.00%)

Φ₈₂₅₄₃(10) = 9000000000..._<81928> = 105222514681_<12> × 446601985306481_<15> × [1915195812..._<81903>] (0.03%)

Φ₈₂₅₄₄(10) = 9999999900..._<31680> = 9079841 × [1101340860..._<31674>] (0.02%)

Φ₈₂₅₄₅(10) = 1109988900..._<44017> = 1320721 × 2476351 × 42923401 × [7906808580..._<43996>] (0.05%)

Φ₈₂₅₄₆(10) = 1099999999..._<40849> = 414665951339_<12> × [2652737695..._<40837>] (0.03%)

Φ₈₂₅₄₇(10) = 1111111111..._<76033> = [1111111111..._<76033>] (0.00%)

Φ₈₂₅₄₈(10) = 1000000999..._<27505> = 82549 × 8722909080080281_<16> × [1388760232..._<27484>] (0.08%)

Φ₈₂₅₄₉(10) = 1111111111..._<82549> = 507015959 × [2191471671..._<82540>] (0.01%)

Φ₈₂₅₅₀(10) = 9999900000..._<30240> = 43503851 × [2298624092..._<30233>] (0.03%)

Φ₈₂₅₅₁(10) = 1109999889..._<47161> = 660409 × 377918479 × 12680880980341477_<17> × [3507215063..._<47130>] (0.06%)

Φ₈₂₅₅₂(10) = 1000099999..._<38785> = 6504272081_<10> × [1537604804..._<38775>] (0.03%)

Φ₈₂₅₅₃(10) = 9000000000..._<79860> = 7594877 × 12155103721_<11> × [9749067908..._<79843>] (0.02%)

Φ₈₂₅₅₄(10) = 1098901098..._<27517> = 1174012898002921_<16> × [9360213169..._<27501>] (0.05%)

Φ₈₂₅₅₅(10) = 9000090000..._<56160> = 47834047159361_<14> × [1881523838..._<56147>] (0.02%)

Φ₈₂₅₅₆(10) = 9900990099..._<41276> = 660449 × [1499130152..._<41271>] (0.01%)

Φ₈₂₅₅₇(10) = 9990000009..._<55032> = [9990000009..._<55032>] (0.00%)

Φ₈₂₅₅₈(10) = 1099999890..._<35377> = 7701044238127423_<16> × [1428377575..._<35361>] (0.04%)

Φ₈₂₅₅₉(10) = 1111111111..._<82559> = 17337391 × 2761103197_<10> × 305241592987_<12> × [7604092595..._<82530>] (0.03%)

Φ₈₂₅₆₀(10) = 9999999999..._<21504> = 2641921 × 79442546618881_<14> × [4764606243..._<21484>] (0.09%)

Φ₈₂₅₆₁(10) = 1111111111..._<82561> = 3435759337679_<13> × 15166392953641_<14> × 15233419745380959677_<20> × [1399764716..._<82516>] (0.05%)

Φ₈₂₅₆₂(10) = 9090909090..._<41280> = [9090909090..._<41280>] (0.00%)

Φ₈₂₅₆₃(10) = 9009009009..._<48384> = [9009009009..._<48384>] (0.00%)

Φ₈₂₅₆₄(10) = 9900990099..._<41280> = 29723041 × 7749044221_<10> × [4298701078..._<41263>] (0.04%)

Φ₈₂₅₆₅(10) = 1000000100..._<56449> = 3070592351_<10> × 903754508441_<12> × [3603523867..._<56427>] (0.04%)

Φ₈₂₅₆₆(10) = 9999999990..._<24840> = 82567 × 24064925553703_<14> × [5032791884..._<24822>] (0.07%)

Φ₈₂₅₆₇(10) = 1111111111..._<82567> = [1111111111..._<82567>] (0.00%)

Φ₈₂₅₆₈(10) = 9999000099..._<41280> = 223648391177_<12> × 3635028126881_<13> × 480194945511696713_<18> × [2561329398..._<41239>] (0.10%)

Φ₈₂₅₆₉(10) = 1109999999..._<51777> = [1109999999..._<51777>] (0.00%)

Φ₈₂₅₇₀(10) = 9091000000..._<31504> = 82571 × [1100991873..._<31500>] (0.02%)

Φ₈₂₅₇₁(10) = 1111111111..._<82571> = [1111111111..._<82571>] (0.00%)

Φ₈₂₅₇₂(10) = 9901000000..._<23568> = 265386409 × 165713746801_<12> × [2251343929..._<23549>] (0.08%)

Φ₈₂₅₇₃(10) = 9000000000..._<81340> = [9000000000..._<81340>] (0.00%)

Φ₈₂₅₇₄(10) = 9090909090..._<37440> = 52927209059_<11> × [1717624876..._<37430>] (0.03%)

Φ₈₂₅₇₅(10) = 1000000000..._<43921> = 117751951 × [8492428291..._<43912>] (0.02%)

Φ₈₂₅₇₆(10) = 1000000009..._<38017> = 39636481 × 181585449761_<12> × [1389389038..._<37998>] (0.05%)

Φ₈₂₅₇₇(10) = 9000000000..._<75060> = [9000000000..._<75060>] (0.00%)

Φ₈₂₅₇₈(10) = 1098901098..._<27525> = 22434873619_<11> × 40131132242689_<14> × [1220544357..._<27501>] (0.09%)

Φ₈₂₅₇₉(10) = 1111110999..._<69001> = 73089081107197_<14> × [1520214761..._<68987>] (0.02%)

Φ_82580L(10) = 2824060999..._<16513> = 12304421 × 182030499808822801_<18> × 7147621074429131033037121_<25> × [1764035045..._<16464>] (0.30%)

Φ_82580M(10) = 3576409999..._<16512> = [3576409999..._<16512>] (0.00%)

Φ₈₂₅₈₁(10) = 9009009009..._<55052> = 10366227769_<11> × [8690730330..._<55042>] (0.02%)

Φ₈₂₅₈₂(10) = 1099999999..._<40873> = 330329 × 7943285933685863_<16> × [4192236611..._<40851>] (0.05%)

Φ₈₂₅₈₃(10) = 9000000000..._<82008> = 11066123 × 1458715535313919_<16> × [5575404844..._<81986>] (0.03%)

Φ₈₂₅₈₄(10) = 9999999999..._<25920> = [9999999999..._<25920>] (0.00%)

Φ₈₂₅₈₅(10) = 1111099999..._<64945> = [1111099999..._<64945>] (0.00%)

Φ₈₂₅₈₆(10) = 9090910000..._<33216> = [9090910000..._<33216>] (0.00%)

Φ₈₂₅₈₇(10) = 9009009009..._<55056> = 5677360729_<10> × 8709627616535281_<16> × [1821926886..._<55031>] (0.05%)

Φ₈₂₅₈₈(10) = 1009999999..._<37521> = 199696821854837869_<18> × [5057666870..._<37503>] (0.05%)

Φ₈₂₅₈₉(10) = 9000000000..._<76224> = 1483080405041_<13> × 12069666732832801_<17> × [5027852563..._<76196>] (0.04%)

Φ₈₂₅₉₀(10) = 9100090999..._<22016> = 908491 × 71027401 × 699186457681_<12> × [2017001283..._<21991>] (0.12%)

Φ₈₂₅₉₁(10) = 1111111111..._<82591> = [1111111111..._<82591>] (0.00%)

Φ₈₂₅₉₂(10) = 1000000000..._<39425> = 792387649 × [1262008565..._<39416>] (0.02%)

Φ₈₂₅₉₃(10) = 9999999990..._<42768> = [9999999990..._<42768>] (0.00%)

Φ₈₂₅₉₄(10) = 1099999999..._<40561> = 991129 × 28494931 × [3894887265..._<40547>] (0.03%)

Φ₈₂₅₉₅(10) = 9000090000..._<66072> = 1486711 × 4625321 × [1308815468..._<66060>] (0.02%)

Φ₈₂₅₉₆(10) = 1009998990..._<27529> = 844131121 × 566966200681_<12> × [2110346935..._<27508>] (0.08%)

Φ₈₂₅₉₇(10) = 9000000000..._<81900> = 4790627 × 1841417519_<10> × [1020229509..._<81885>] (0.02%)

Φ₈₂₅₉₈(10) = 9090909090..._<41298> = 6517269363223444157_<19> × [1394895405..._<41280>] (0.05%)

Φ₈₂₅₉₉(10) = 1109999999..._<50041> = 825991 × 4506931837_<10> × [2981718731..._<50025>] (0.03%)

Φ₈₂₆₀₀(10) = 9999999999..._<27840> = [9999999999..._<27840>] (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