Factorization of cyclotomic number Phi

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Φ₈₂₄₀₁(10) = 1000000000..._<49721> = [1000000000..._<49721>] (0.00%)

Φ₈₂₄₀₂(10) = 9090909090..._<41200> = [9090909090..._<41200>] (0.00%)

Φ₈₂₄₀₃(10) = 9000000000..._<78048> = 1153643 × [7801373561..._<78042>] (0.01%)

Φ₈₂₄₀₄(10) = 9999999999..._<23328> = [9999999999..._<23328>] (0.00%)

Φ₈₂₄₀₅(10) = 9000090000..._<65920> = 1763472933161_<13> × [5103616750..._<65908>] (0.02%)

Φ₈₂₄₀₆(10) = 9090909090..._<41202> = 82488407 × 34835580601043312738489_<23> × 73254063432482910416893_<23> × [4318765513..._<41149>] (0.13%)

Φ₈₂₄₀₇(10) = 1109999999..._<50689> = [1109999999..._<50689>] (0.00%)

Φ₈₂₄₀₈(10) = 9999000099..._<41200> = [9999000099..._<41200>] (0.00%)

Φ₈₂₄₀₉(10) = 9000000000..._<78804> = 325523787933277_<15> × 40394595839440597_<17> × [6844417793..._<78773>] (0.04%)

Φ₈₂₄₁₀(10) = 1098890109..._<21121> = 5924290081_<10> × 8415049921_<10> × [2204252046..._<21101>] (0.09%)

Φ₈₂₄₁₁(10) = 1111110999..._<69121> = [1111110999..._<69121>] (0.00%)

Φ₈₂₄₁₂(10) = 1009999999..._<37441> = 21756769 × [4642233412..._<37433>] (0.02%)

Φ₈₂₄₁₃(10) = 9990000009..._<54936> = [9990000009..._<54936>] (0.00%)

Φ₈₂₄₁₄(10) = 1099999999..._<40657> = 50437369 × [2180922640..._<40649>] (0.02%)

Φ₈₂₄₁₅(10) = 1111099999..._<64481> = 164831 × [6740843651..._<64475>] (0.01%)

Φ₈₂₄₁₆(10) = 9999999900..._<25600> = [9999999900..._<25600>] (0.00%)

Φ₈₂₄₁₇(10) = 9000000000..._<81216> = 4780187 × 5025922999711_<13> × [3746120925..._<81197>] (0.02%)

Φ₈₂₄₁₈(10) = 1000000000..._<34105> = 530771921 × [1884048421..._<34096>] (0.03%)

Φ₈₂₄₁₉(10) = 1109999999..._<54121> = 164839 × 329677 × 36099523 × [5658129650..._<54102>] (0.03%)

Φ_82420L(10) = 3541003541..._<15168> = [3541003541..._<15168>] (0.00%)

Φ_82420M(10) = 2796097203..._<15169> = 82421 × 425122361 × 13542677461_<11> × [5892449938..._<15145>] (0.16%)

Φ₈₂₄₂₁(10) = 1111111111..._<82421> = 221053123 × 1397695319_<10> × 24779234063041_<14> × [1451310866..._<82390>] (0.04%)

Φ₈₂₄₂₂(10) = 9990010000..._<25920> = [9990010000..._<25920>] (0.00%)

Φ₈₂₄₂₃(10) = 1111111111..._<73081> = 2734300603_<10> × [4063602626..._<73071>] (0.01%)

Φ₈₂₄₂₄(10) = 9999000099..._<41208> = 2871838813158580315657_<22> × [3481741403..._<41187>] (0.05%)

Φ₈₂₄₂₅(10) = 9999900000..._<37440> = 1872221067151_<13> × [5341196173..._<37428>] (0.03%)

Φ₈₂₄₂₆(10) = 9090909090..._<41212> = 19782241 × 334649561 × [1373224574..._<41197>] (0.04%)

Φ₈₂₄₂₇(10) = 9000000000..._<81696> = 494563 × [1819788378..._<81691>] (0.01%)

Φ₈₂₄₂₈(10) = 1009998990..._<27473> = 5852389 × 2185990561_<10> × 9149338280749_<13> × [8628787754..._<27443>] (0.11%)

Φ₈₂₄₂₉(10) = 9000000000..._<79740> = 2358953123_<10> × [3815251736..._<79731>] (0.01%)

Φ₈₂₄₃₀(10) = 1099989000..._<32969> = [1099989000..._<32969>] (0.00%)

Φ₈₂₄₃₁(10) = 1000000001..._<52921> = 987688243 × 5645412330121_<13> × [1793430076..._<52899>] (0.04%)

Φ₈₂₄₃₂(10) = 1000000000..._<33793> = [1000000000..._<33793>] (0.00%)

Φ₈₂₄₃₃(10) = 1111111111..._<71425> = [1111111111..._<71425>] (0.00%)

Φ₈₂₄₃₄(10) = 9100000000..._<24960> = [9100000000..._<24960>] (0.00%)

Φ₈₂₄₃₅(10) = 9000090000..._<65944> = 1978441 × [4549081828..._<65938>] (0.01%)

Φ₈₂₄₃₆(10) = 1009999999..._<40033> = 247309 × [4083959742..._<40027>] (0.01%)

Φ₈₂₄₃₇(10) = 9009009009..._<54956> = 24252635653_<11> × [3714651528..._<54946>] (0.02%)

Φ₈₂₄₃₈(10) = 1099999999..._<40297> = 261410899 × 213148395281_<12> × 2540966665055419_<16> × [7769408557..._<40261>] (0.09%)

Φ₈₂₄₃₉(10) = 9000000900..._<70656> = [9000000900..._<70656>] (0.00%)

Φ₈₂₄₄₀(10) = 9999999999..._<21888> = 329761 × [3032499294..._<21883>] (0.03%)

Φ₈₂₄₄₁(10) = 9000000000..._<78084> = 200031379879_<12> × [4499294063..._<78073>] (0.01%)

Φ₈₂₄₄₂(10) = 9090909090..._<41220> = 21434921 × 1036401960413_<13> × 279714874028063_<15> × [1462990954..._<41187>] (0.08%)

Φ₈₂₄₄₃(10) = 9009009009..._<54960> = 24370975231_<11> × 4811858182183321_<16> × 198598773288048658916119_<24> × [3868251763..._<54911>] (0.09%)

Φ₈₂₄₄₄(10) = 9900990099..._<41220> = 43703602910483809838309_<23> × [2265486010..._<41198>] (0.05%)

Φ₈₂₄₄₅(10) = 1111099999..._<59921> = 263659111 × 110170805061198641_<18> × [3825109228..._<59895>] (0.04%)

Φ₈₂₄₄₆(10) = 1098900989..._<21601> = [1098900989..._<21601>] (0.00%)

Φ₈₂₄₄₇(10) = 9000000000..._<79576> = 4824468653_<10> × [1865490408..._<79567>] (0.01%)

Φ₈₂₄₄₈(10) = 9999999900..._<41216> = [9999999900..._<41216>] (0.00%)

Φ₈₂₄₄₉(10) = 9990000009..._<54960> = 2308573 × 73907113919959_<14> × [5855117747..._<54940>] (0.04%)

Φ₈₂₄₅₀(10) = 9999900000..._<30720> = 329801 × 380919001 × 3627882451_<10> × [2194107214..._<30697>] (0.08%)

Φ₈₂₄₅₁(10) = 9000000000..._<80400> = [9000000000..._<80400>] (0.00%)

Φ₈₂₄₅₂(10) = 1009998990..._<27481> = 176149984390189_<15> × [5733744419..._<27466>] (0.05%)

Φ₈₂₄₅₃(10) = 9000000900..._<70668> = [9000000900..._<70668>] (0.00%)

Φ₈₂₄₅₄(10) = 9090909090..._<41226> = [9090909090..._<41226>] (0.00%)

Φ₈₂₄₅₅(10) = 9009099100..._<41888> = 364121281 × [2474202846..._<41880>] (0.02%)

Φ₈₂₄₅₆(10) = 1000099999..._<37441> = 82457 × 314549685649_<12> × 2599822673009_<13> × [1483142619..._<37412>] (0.08%)

Φ₈₂₄₅₇(10) = 1111111111..._<82457> = [1111111111..._<82457>] (0.00%)

Φ₈₂₄₅₈(10) = 1000000000..._<27433> = 2607848568815264407_<19> × [3834578479..._<27414>] (0.07%)

Φ₈₂₄₅₉(10) = 9000000000..._<76104> = [9000000000..._<76104>] (0.00%)

Φ_82460L(10) = 2826886476..._<12961> = 1236901 × [2285458962..._<12955>] (0.05%)

Φ_82460M(10) = 3572835373..._<12960> = 728820790121421761_<18> × 29918578086001502002561_<23> × [1638518327..._<12920>] (0.31%)

Φ₈₂₄₆₁(10) = 9009009009..._<54972> = 659689 × [1365644873..._<54967>] (0.01%)

Φ₈₂₄₆₂(10) = 9090909090..._<41230> = 82463 × 48277402842940837_<17> × 182469657820493772523517_<24> × [1251450362..._<41186>] (0.11%)

Φ₈₂₄₆₃(10) = 1111111111..._<82463> = 989557 × [1122836896..._<82457>] (0.01%)

Φ₈₂₄₆₄(10) = 1000000000..._<27457> = 247393 × [4042151556..._<27451>] (0.02%)

Φ₈₂₄₆₅(10) = 9000090000..._<65968> = 1087751030567521_<16> × [8274034910..._<65953>] (0.02%)

Φ₈₂₄₆₆(10) = 9090909090..._<41232> = 9861215893255249_<16> × 240040423917015242453_<21> × [3840541503..._<41196>] (0.09%)

Φ₈₂₄₆₇(10) = 9999999999..._<40320> = 456042511 × [2192778032..._<40312>] (0.02%)

Φ₈₂₄₆₈(10) = 1009999999..._<40353> = 82469 × [1224702615..._<40348>] (0.01%)

Φ₈₂₄₆₉(10) = 1111111111..._<82469> = 28317820976641627_<17> × [3923716842..._<82452>] (0.02%)

Φ₈₂₄₇₀(10) = 9100090999..._<21984> = 50059291 × 43176921091_<11> × 13765838243930281_<17> × [3058487493..._<21950>] (0.16%)

Φ₈₂₄₇₁(10) = 1111111111..._<82471> = 240815321 × [4613955235..._<82462>] (0.01%)

Φ₈₂₄₇₂(10) = 1000000000..._<37441> = 4139517097_<10> × [2415740717..._<37431>] (0.03%)

Φ₈₂₄₇₃(10) = 1109999999..._<53425> = 5124496473013_<13> × 57738047690467_<14> × [3751540897..._<53398>] (0.05%)

Φ₈₂₄₇₄(10) = 9090910000..._<34272> = 4948441 × 29195797 × 801171308962413437441_<21> × [7854042340..._<34237>] (0.10%)

Φ₈₂₄₇₅(10) = 9999900000..._<65960> = [9999900000..._<65960>] (0.00%)

Φ₈₂₄₇₆(10) = 9999990000..._<26208> = 1649521 × [6062359921..._<26202>] (0.02%)

Φ₈₂₄₇₇(10) = 9000000000..._<81180> = [9000000000..._<81180>] (0.00%)

Φ₈₂₄₇₈(10) = 9090909091..._<35640> = [9090909091..._<35640>] (0.00%)

Φ₈₂₄₇₉(10) = 1109999999..._<52057> = 16330843 × [6796954694..._<52049>] (0.01%)

Φ₈₂₄₈₀(10) = 1000000009..._<32961> = 23027901408764641_<17> × [4342558152..._<32944>] (0.05%)

Φ₈₂₄₈₁(10) = 9000000900..._<70692> = 164963 × 659849 × 2144507 × 49488601 × [7790741579..._<70667>] (0.04%)

Φ₈₂₄₈₂(10) = 9100000000..._<26912> = 412411 × 380901877 × [5792926778..._<26898>] (0.05%)

Φ₈₂₄₈₃(10) = 1111111111..._<82483> = 20218555493980164787759_<23> × 1795716550338982195640129_<25> × [3060339309..._<82436>] (0.06%)

Φ₈₂₄₈₄(10) = 1009999999..._<38785> = [1009999999..._<38785>] (0.00%)

Φ₈₂₄₈₅(10) = 9999999990..._<39744> = 659881 × [1515424749..._<39739>] (0.01%)

Φ₈₂₄₈₆(10) = 9090909090..._<41242> = 82487 × 494917 × 14416399997887_<14> × 384192011664361_<15> × 6939451425161799117493_<22> × [5793741840..._<41182>] (0.15%)

Φ₈₂₄₈₇(10) = 1111111111..._<82487> = 346445401 × 853780795494551191_<18> × 1283524344367593917_<19> × [2926659501..._<82442>] (0.05%)

Φ₈₂₄₈₈(10) = 9999000100..._<23520> = [9999000100..._<23520>] (0.00%)

Φ₈₂₄₈₉(10) = 9000000000..._<74980> = 329957 × 216286159 × 1170518911_<10> × 338549328379033651133_<21> × [3182409365..._<74937>] (0.06%)

Φ₈₂₄₉₀(10) = 9091000000..._<32256> = 12291011 × [7396462341..._<32249>] (0.02%)

Φ₈₂₄₉₁(10) = 1109999999..._<53161> = [1109999999..._<53161>] (0.00%)

Φ₈₂₄₉₂(10) = 1009999999..._<40161> = [1009999999..._<40161>] (0.00%)

Φ₈₂₄₉₃(10) = 1111111111..._<82493> = 164987 × 494959 × 6929413 × 2106386722112401_<16> × 4107030439084907_<16> × [2269739745..._<82444>] (0.06%)

Φ₈₂₄₉₄(10) = 1000999998..._<27493> = 5503528556767_<13> × [1818833115..._<27480>] (0.05%)

Φ₈₂₄₉₅(10) = 1111099888..._<56545> = 62696201 × [1772196514..._<56537>] (0.01%)

Φ₈₂₄₉₆(10) = 9999999999..._<41216> = 907457 × 2474881 × 2486028985441921_<16> × [1791073612..._<41189>] (0.07%)

Φ₈₂₄₉₇(10) = 1109999999..._<54273> = [1109999999..._<54273>] (0.00%)

Φ₈₂₄₉₈(10) = 9090909090..._<35856> = [9090909090..._<35856>] (0.00%)

Φ₈₂₄₉₉(10) = 1111111111..._<82499> = 164999 × 6599921 × 53954347 × [1891084785..._<82479>] (0.02%)

Φ_82500L(10) = 1000000000..._<10001> = 7811035805807182194840001_<25> × [1280239938..._<9976>] (0.25%)

Φ_82500M(10) = 9999999999..._<10000> = 36493050001_<11> × [2740247800..._<9990>] (0.11%)

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