Factorization of cyclotomic number Phi

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Φ₁₆₈₂₀₁(10) = 1001000999..._<101881> = 2018413 × 38686231 × 82137930733_<11> × [1560717493..._<101856>] (0.02%)

Φ₁₆₈₂₀₂(10) = 1099999999..._<81793> = 3027637 × [3633196449..._<81786>] (0.01%)

Φ₁₆₈₂₀₃(10) = 9000000900..._<144168> = 22539203 × [3993043099..._<144161>] (0.01%)

Φ₁₆₈₂₀₄(10) = 9901000000..._<55120> = [9901000000..._<55120>] (0.00%)

Φ₁₆₈₂₀₅(10) = 9000090000..._<134560> = 17156911 × 47884632704591_<14> × [1095498011..._<134540>] (0.02%)

Φ₁₆₈₂₀₆(10) = 1099999999..._<81361> = 504619 × 1009237 × 1345649 × 269466013 × [5956623258..._<81334>] (0.03%)

Φ₁₆₈₂₀₇(10) = 9009009009..._<97632> = 523796599 × 19073961611563_<14> × [9017236135..._<97610>] (0.02%)

Φ₁₆₈₂₀₈(10) = 9999999900..._<84096> = 2691329 × 625733761 × 257751603275252929_<18> × [2303786566..._<84064>] (0.04%)

Φ₁₆₈₂₀₉(10) = 9000000000..._<165300> = [9000000000..._<165300>] (0.00%)

Φ₁₆₈₂₁₀(10) = 1000000000..._<38017> = 262417969810081_<15> × [3810714646..._<38002>] (0.04%)

Φ₁₆₈₂₁₁(10) = 1111111111..._<168211> = 37342843 × [2975432564..._<168203>] (0.00%)

Φ₁₆₈₂₁₂(10) = 1009999999..._<76441> = [1009999999..._<76441>] (0.00%)

Φ₁₆₈₂₁₃(10) = 1109999999..._<109665> = 500601889 × [2217330825..._<109656>] (0.01%)

Φ₁₆₈₂₁₄(10) = 1099999999..._<83401> = 50464201 × 118110893891677_<15> × [1845522427..._<83379>] (0.03%)

Φ₁₆₈₂₁₅(10) = 1111099999..._<126593> = [1111099999..._<126593>] (0.00%)

Φ₁₆₈₂₁₆(10) = 9999000100..._<54432> = 2859673 × [3496553661..._<54426>] (0.01%)

Φ₁₆₈₂₁₇(10) = 9999999000..._<144144> = [9999999000..._<144144>] (0.00%)

Φ₁₆₈₂₁₈(10) = 1099999999..._<83521> = 336437 × 841091 × [3887281106..._<83509>] (0.01%)

Φ₁₆₈₂₁₉(10) = 9990000009..._<112140> = [9990000009..._<112140>] (0.00%)

Φ_168220L(10) = 2796097203..._<31009> = 504661 × 48761258521_<11> × 26636119453214854441_<20> × 739747520709391758461_<21> × [5766644021..._<30952>] (0.18%)

Φ_168220M(10) = 3541003541..._<31008> = 1009321 × 633010114143800998021_<21> × [5542253707..._<30981>] (0.09%)

Φ₁₆₈₂₂₁(10) = 9000000000..._<166944> = 132221707 × 797782494441563_<15> × [8532086452..._<166921>] (0.01%)

Φ₁₆₈₂₂₂(10) = 9999999999..._<52624> = [9999999999..._<52624>] (0.00%)

Φ₁₆₈₂₂₃(10) = 1111111111..._<148801> = 2018677 × [5504155003..._<148794>] (0.00%)

Φ₁₆₈₂₂₄(10) = 1000000000..._<72001> = 1425854848321_<13> × [7013336604..._<71988>] (0.02%)

Φ₁₆₈₂₂₅(10) = 1000010000..._<89681> = 18800826001_<11> × [5318968432..._<89670>] (0.01%)

Φ₁₆₈₂₂₆(10) = 1000000000..._<79345> = [1000000000..._<79345>] (0.00%)

Φ₁₆₈₂₂₇(10) = 1111111111..._<168227> = 96126590071_<11> × [1155883205..._<168216>] (0.01%)

Φ₁₆₈₂₂₈(10) = 1000000999..._<56065> = 1009369 × 1850509 × [5353764581..._<56052>] (0.02%)

Φ₁₆₈₂₂₉(10) = 9000000000..._<162400> = [9000000000..._<162400>] (0.00%)

Φ₁₆₈₂₃₀(10) = 1099989000..._<67289> = [1099989000..._<67289>] (0.00%)

Φ₁₆₈₂₃₁(10) = 1109999889..._<96121> = 1009387 × 6729241 × 61831793672083_<14> × [2642939981..._<96094>] (0.03%)

Φ₁₆₈₂₃₂(10) = 1000099999..._<79105> = [1000099999..._<79105>] (0.00%)

Φ₁₆₈₂₃₃(10) = 9000000000..._<155280> = 106538424324671_<15> × [8447656380..._<155266>] (0.01%)

Φ₁₆₈₂₃₄(10) = 9100000000..._<50960> = 2355277 × 2999241095797_<13> × 16074159786961_<14> × [8014191982..._<50928>] (0.06%)

Φ₁₆₈₂₃₅(10) = 9000090000..._<134584> = 208918260641_<12> × [4307947985..._<134573>] (0.01%)

Φ₁₆₈₂₃₆(10) = 1009999999..._<83233> = [1009999999..._<83233>] (0.00%)

Φ₁₆₈₂₃₇(10) = 1000000000..._<106921> = [1000000000..._<106921>] (0.00%)

Φ₁₆₈₂₃₈(10) = 9090910000..._<70560> = [9090910000..._<70560>] (0.00%)

Φ₁₆₈₂₃₉(10) = 9000000000..._<163656> = 2355347 × 5383649 × [7097589437..._<163643>] (0.01%)

Φ₁₆₈₂₄₀(10) = 9999999900..._<44800> = 2691841 × 9084961 × [4089098052..._<44787>] (0.03%)

Φ₁₆₈₂₄₁(10) = 9000000000..._<166132> = [9000000000..._<166132>] (0.00%)

Φ₁₆₈₂₄₂(10) = 9090909090..._<84120> = 504727 × [1801153710..._<84115>] (0.01%)

Φ₁₆₈₂₄₃(10) = 9009009009..._<112160> = 291060391 × [3095237032..._<112152>] (0.01%)

Φ₁₆₈₂₄₄(10) = 9900990099..._<84120> = 4206101 × 13796009 × 13404998920863701_<17> × [1272854249..._<84091>] (0.04%)

Φ₁₆₈₂₄₅(10) = 1111099888..._<95041> = [1111099888..._<95041>] (0.00%)

Φ₁₆₈₂₄₆(10) = 9990010000..._<51696> = [9990010000..._<51696>] (0.00%)

Φ₁₆₈₂₄₇(10) = 1111111111..._<168247> = [1111111111..._<168247>] (0.00%)

Φ₁₆₈₂₄₈(10) = 9999000099..._<84120> = 6561673 × 33584992769_<11> × [4537292005..._<84103>] (0.02%)

Φ₁₆₈₂₄₉(10) = 1109999999..._<105537> = [1109999999..._<105537>] (0.00%)

Φ₁₆₈₂₅₀(10) = 1000000000..._<67201> = 34323001 × 122654251 × [2375374786..._<67185>] (0.02%)

Φ₁₆₈₂₅₁(10) = 9000000000..._<167400> = 1009507 × 2728694719_<10> × 744646958311_<12> × [4387607846..._<167373>] (0.02%)

Φ₁₆₈₂₅₂(10) = 9901000000..._<48048> = 360900541 × 1097608747201_<13> × 13592267298169471818229_<23> × [1838874377..._<48006>] (0.09%)

Φ₁₆₈₂₅₃(10) = 1111111111..._<168253> = 261927742885359431_<18> × 6044993586619713653_<19> × [7017463228..._<168216>] (0.02%)

Φ₁₆₈₂₅₄(10) = 9090909090..._<84126> = 11129773274561_<14> × 4135977461104387201_<19> × [1974889651..._<84095>] (0.04%)

Φ₁₆₈₂₅₅(10) = 1001000999..._<89713> = [1001000999..._<89713>] (0.00%)

Φ₁₆₈₂₅₆(10) = 1000000000..._<76161> = [1000000000..._<76161>] (0.00%)

Φ₁₆₈₂₅₇(10) = 9000000000..._<166656> = 3754785858947_<13> × [2396940954..._<166644>] (0.01%)

Φ₁₆₈₂₅₈(10) = 9100000000..._<54096> = [9100000000..._<54096>] (0.00%)

Φ₁₆₈₂₅₉(10) = 1000000000..._<130033> = [1000000000..._<130033>] (0.00%)

Φ_168260L(10) = 3540999999..._<32752> = 336521 × [1052237453..._<32747>] (0.02%)

Φ_168260M(10) = 2796100000..._<32753> = 779212061 × [3588368481..._<32744>] (0.03%)

Φ₁₆₈₂₆₁(10) = 9009009009..._<112172> = [9009009009..._<112172>] (0.00%)

Φ₁₆₈₂₆₂(10) = 9090909090..._<84130> = 168263 × [5402797460..._<84125>] (0.01%)

Φ₁₆₈₂₆₃(10) = 1111111111..._<168263> = 236241253 × 164954331894791_<15> × [2851267921..._<168240>] (0.01%)

Φ₁₆₈₂₆₄(10) = 9999999999..._<51840> = [9999999999..._<51840>] (0.00%)

Φ₁₆₈₂₆₅(10) = 1111099999..._<132481> = 181389671 × 176779209001_<12> × [3465049221..._<132461>] (0.01%)

Φ₁₆₈₂₆₆(10) = 9999999000..._<67200> = 305822277139_<12> × [3269872650..._<67189>] (0.02%)

Φ₁₆₈₂₆₇(10) = 1109999999..._<101961> = [1109999999..._<101961>] (0.00%)

Φ₁₆₈₂₆₈(10) = 9900990099..._<76560> = 168269 × 8777700221_<10> × [6703378897..._<76545>] (0.02%)

Φ₁₆₈₂₆₉(10) = 1111111111..._<168269> = [1111111111..._<168269>] (0.00%)

Φ₁₆₈₂₇₀(10) = 1098890109..._<43681> = 2098487568739291_<16> × 74287255658676721_<17> × [7049098011..._<43648>] (0.07%)

Φ₁₆₈₂₇₁(10) = 9000000000..._<167200> = [9000000000..._<167200>] (0.00%)

Φ₁₆₈₂₇₂(10) = 1000000009..._<77569> = [1000000009..._<77569>] (0.00%)

Φ₁₆₈₂₇₃(10) = 1001000999..._<96121> = 673093 × 199390379707_<12> × [7458564279..._<96103>] (0.02%)

Φ₁₆₈₂₇₄(10) = 9090909090..._<84136> = 6730961 × [1350610869..._<84130>] (0.01%)

Φ₁₆₈₂₇₅(10) = 1000010000..._<131041> = 336551 × 7168851551_<10> × 90601952401_<11> × 42161125234351_<14> × [1085060916..._<131001>] (0.03%)

Φ₁₆₈₂₇₆(10) = 9901000000..._<54432> = [9901000000..._<54432>] (0.00%)

Φ₁₆₈₂₇₇(10) = 1111111111..._<168277> = 106086196003_<12> × [1047366342..._<168266>] (0.01%)

Φ₁₆₈₂₇₈(10) = 1099999999..._<76481> = 305656671470173_<15> × [3598809064..._<76466>] (0.02%)

Φ₁₆₈₂₇₉(10) = 9009009009..._<112184> = [9009009009..._<112184>] (0.00%)

Φ₁₆₈₂₈₀(10) = 9999000099..._<57600> = [9999000099..._<57600>] (0.00%)

Φ₁₆₈₂₈₁(10) = 1111111111..._<168281> = 336563 × 1324634672590547_<16> × [2492269494..._<168260>] (0.01%)

Φ₁₆₈₂₈₂(10) = 1000999998..._<56089> = 613244008891_<12> × [1632302940..._<56077>] (0.02%)

Φ₁₆₈₂₈₃(10) = 1111111111..._<149761> = 521728251380477_<15> × [2129674036..._<149746>] (0.01%)

Φ₁₆₈₂₈₄(10) = 9900990099..._<84140> = [9900990099..._<84140>] (0.00%)

Φ₁₆₈₂₈₅(10) = 9009099100..._<82752> = [9009099100..._<82752>] (0.00%)

Φ₁₆₈₂₈₆(10) = 9090909090..._<84142> = 895786379 × 180955407302851_<15> × [5608300752..._<84119>] (0.03%)

Φ₁₆₈₂₈₇(10) = 1111110999..._<139105> = 17507906333_<11> × [6346338499..._<139094>] (0.01%)

Φ₁₆₈₂₈₈(10) = 1000000000..._<56065> = 2692609 × 317559457 × 91336629121_<11> × [1280432464..._<56039>] (0.05%)

Φ₁₆₈₂₈₉(10) = 9000000000..._<152980> = [9000000000..._<152980>] (0.00%)

Φ₁₆₈₂₉₀(10) = 1099989000..._<67313> = [1099989000..._<67313>] (0.00%)

Φ₁₆₈₂₉₁(10) = 1000000001..._<106921> = 1009747 × 7741387 × 97272199 × 130483080523_<12> × [1007919192..._<106889>] (0.03%)

Φ₁₆₈₂₉₂(10) = 9900990099..._<84144> = 21709669 × [4560636138..._<84137>] (0.01%)

Φ₁₆₈₂₉₃(10) = 1111111111..._<168293> = 336587 × 4156163929_<10> × 118598452387403_<15> × [6697125873..._<168263>] (0.02%)

Φ₁₆₈₂₉₄(10) = 9100000909..._<48072> = 133723046521_<12> × [6805110373..._<48061>] (0.02%)

Φ₁₆₈₂₉₅(10) = 1111099999..._<132865> = [1111099999..._<132865>] (0.00%)

Φ₁₆₈₂₉₆(10) = 1000099999..._<82945> = 91380015375409_<14> × [1094440612..._<82931>] (0.02%)

Φ₁₆₈₂₉₇(10) = 9009009009..._<112196> = 39718093 × 199936837 × [1134477313..._<112181>] (0.01%)

Φ₁₆₈₂₉₈(10) = 1099999999..._<77665> = 832916712227731_<15> × [1320660257..._<77650>] (0.02%)

Φ₁₆₈₂₉₉(10) = 1111111111..._<158401> = 336599 × 1730786917_<10> × [1907221199..._<158386>] (0.01%)

Φ_168300L(10) = 1000000100..._<19201> = [1000000100..._<19201>] (0.00%)

Φ_168300M(10) = 9999999000..._<19200> = 215104136088601_<15> × 30046524748712772301_<20> × 108288317612122648560645158701_<30> × [1428812829..._<19138>] (0.33%)

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