Factorization of cyclotomic number Phi

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Φ₂₆₉₄₀₁(10) = 1111111111..._<231841> = 250004129 × (4444371041..._<231832>) (0.00%)

Φ₂₆₉₄₀₂(10) = 1000000099..._<115417> = 5388041 × 53880401 × [3444596312..._<115402>] (0.01%)

Φ₂₆₉₄₀₃(10) = 1109999999..._<177409> = [1109999999..._<177409>] (0.00%)

Φ₂₆₉₄₀₄(10) = 1009999999..._<131745> = [1009999999..._<131745>] (0.00%)

Φ₂₆₉₄₀₅(10) = 9000090000..._<215520> = 2374535671_<10> × (3790252600..._<215511>) (0.00%)

Φ₂₆₉₄₀₆(10) = 1000000000..._<89749> = 83203887853_<11> × [1201866914..._<89738>] (0.01%)

Φ₂₆₉₄₀₇(10) = 9000000000..._<265320> = 1616443 × (5567780614..._<265314>) (0.00%)

Φ₂₆₉₄₀₈(10) = 9999999999..._<134688> = 109007595553_<12> × [9173672668..._<134677>] (0.01%)

Φ₂₆₉₄₀₉(10) = 1109999889..._<153937> = 149609283517_<12> × 310990123879_<12> × [2385710790..._<153914>] (0.01%)

Φ₂₆₉₄₁₀(10) = 9091000000..._<103936> = 1869705401_<10> × [4862263325..._<103927>] (0.01%)

Φ₂₆₉₄₁₁(10) = 9000000000..._<262800> = 69508039 × 2029203653_<10> × 119161024123_<12> × (5354853709..._<262772>) (0.01%)

Φ₂₆₉₄₁₂(10) = 1009998990..._<74881> = 3285479341_<10> × [3074129784..._<74871>] (0.01%)

Φ₂₆₉₄₁₃(10) = 1111111111..._<269413> = 1028147900077_<13> × (1080691903..._<269401>) (0.00%)

Φ₂₆₉₄₁₄(10) = 9090909090..._<134706> = [9090909090..._<134706>] (0.00%)

Φ₂₆₉₄₁₅(10) = 1001000999..._<143665> = [1001000999..._<143665>] (0.00%)

Φ₂₆₉₄₁₆(10) = 9999000099..._<108288> = 1885913 × 145291758889033_<15> × [3649168666..._<108268>] (0.02%)

Φ₂₆₉₄₁₇(10) = 9000000000..._<268356> = (9000000000..._<268356>) (0.00%)

Φ₂₆₉₄₁₈(10) = 9100000000..._<88560> = 269419 × [3377638548..._<88555>] (0.01%)

Φ₂₆₉₄₁₉(10) = 1111111111..._<269419> = 1077677 × 1095996493_<10> × 1862224129_<10> × 3222467314039_<13> × 3837362385443044747_<19> × (4085135133..._<269363>) (0.02%)

Φ_269420L(10) = 3540999996..._<50976> = [3540999996..._<50976>] (0.00%)

Φ_269420M(10) = 2796100002..._<50977> = 538841 × 89954465808721_<14> × 9079145715791853301_<19> × [6353665564..._<50938>] (0.08%)

Φ₂₆₉₄₂₁(10) = 1109999999..._<173761> = 1381289136481_<13> × [8035971402..._<173748>] (0.01%)

Φ₂₆₉₄₂₂(10) = 1099999999..._<128833> = 1616533 × [6804686325..._<128826>] (0.00%)

Φ₂₆₉₄₂₃(10) = 1111110999..._<209881> = (1111110999..._<209881>) (0.00%)

Φ₂₆₉₄₂₄(10) = 1000000000..._<89761> = 56579041 × [1767438935..._<89753>] (0.01%)

Φ₂₆₉₄₂₅(10) = 1000010000..._<198721> = 1616551 × 5927351 × [1043648580..._<198708>] (0.01%)

Φ₂₆₉₄₂₆(10) = 1099999999..._<133349> = 12562256677_<11> × 5671187749049_<13> × [1544013158..._<133326>] (0.02%)

Φ₂₆₉₄₂₇(10) = 9009009009..._<179616> = 7543957 × 1992682093_<10> × [5992938194..._<179600>] (0.01%)

Φ₂₆₉₄₂₈(10) = 1009999999..._<133633> = 269429 × 1616569 × 3530853941_<10> × [6567544672..._<133611>] (0.02%)

Φ₂₆₉₄₂₉(10) = 1111111111..._<269429> = 8017313613437_<13> × (1385889544..._<269416>) (0.00%)

Φ₂₆₉₄₃₀(10) = 1098890000..._<61537> = [1098890000..._<61537>] (0.00%)

Φ₂₆₉₄₃₁(10) = 1111111111..._<269431> = 15626999 × 47958719 × (1482567009..._<269416>) (0.01%)

Φ₂₆₉₄₃₂(10) = 9999000099..._<134712> = [9999000099..._<134712>] (0.00%)

Φ₂₆₉₄₃₃(10) = 1000000001..._<168769> = 33948559 × 131546351323_<12> × [2239235904..._<168750>] (0.01%)

Φ₂₆₉₄₃₄(10) = 9090909091..._<118800> = [9090909091..._<118800>] (0.00%)

Φ₂₆₉₄₃₅(10) = 9000090000..._<215544> = 538871 × 91069031 × (1833966188..._<215531>) (0.01%)

Φ₂₆₉₄₃₆(10) = 1009998990..._<89809> = [1009998990..._<89809>] (0.00%)

Φ₂₆₉₄₃₇(10) = 1111110999..._<226801> = (1111110999..._<226801>) (0.00%)

Φ₂₆₉₄₃₈(10) = 9090909090..._<120960> = 1588337011_<10> × [5723539165..._<120951>] (0.01%)

Φ₂₆₉₄₃₉(10) = 9009009009..._<163296> = 113190475167151_<15> × [7959158220..._<163282>] (0.01%)

Φ₂₆₉₄₄₀(10) = 1000000000..._<107521> = 2694401 × [3711400047..._<107514>] (0.01%)

Φ₂₆₉₄₄₁(10) = 1111111111..._<269441> = 26099227328351_<14> × 322702709797733_<15> × (1319250380..._<269413>) (0.01%)

Φ₂₆₉₄₄₂(10) = 1000999998..._<89809> = 577438725223_<12> × 4205234643517_<13> × [4122284273..._<89784>] (0.03%)

Φ₂₆₉₄₄₃(10) = 9000000000..._<265680> = 596546803 × (1508682965..._<265672>) (0.00%)

Φ₂₆₉₄₄₄(10) = 1009999999..._<115465> = 81372089 × 316596701 × [3920482532..._<115448>] (0.01%)

Φ₂₆₉₄₄₅(10) = 1109988899..._<123201> = 85683511 × 285134782351_<12> × [4543297581..._<123181>] (0.02%)

Φ₂₆₉₄₄₆(10) = 1099999999..._<133849> = [1099999999..._<133849>] (0.00%)

Φ₂₆₉₄₄₇(10) = 9000000000..._<267960> = (9000000000..._<267960>) (0.00%)

Φ₂₆₉₄₄₈(10) = 9999000100..._<88128> = 1616689 × 12394609 × 34629187513_<11> × 301369886367817_<15> × [4781400271..._<88090>] (0.04%)

Φ₂₆₉₄₄₉(10) = 9000000000..._<268036> = 49692451196827_<14> × (1811140280..._<268023>) (0.01%)

Φ₂₆₉₄₅₀(10) = 9999900000..._<101120> = 12125251 × [8247169482..._<101113>] (0.01%)

Φ₂₆₉₄₅₁(10) = 9999999999..._<139104> = [9999999999..._<139104>] (0.00%)

Φ₂₆₉₄₅₂(10) = 9900990099..._<124800> = 4041781 × 390435949 × [6274166653..._<124785>] (0.01%)

Φ₂₆₉₄₅₃(10) = 9000000000..._<264828> = 15089369 × (5964464120..._<264821>) (0.00%)

Φ₂₆₉₄₅₄(10) = 1098901098..._<89817> = 124318800343_<12> × 315828919579_<12> × [2798787350..._<89794>] (0.03%)

Φ₂₆₉₄₅₅(10) = 9000090000..._<215560> = 17245121 × 534490746686951_<15> × (9764284290..._<215538>) (0.01%)

Φ₂₆₉₄₅₆(10) = 1000000009..._<122401> = 432134940337_<12> × [2314092003..._<122389>] (0.01%)

Φ₂₆₉₄₅₇(10) = 9009009009..._<179636> = 136345243 × 115708608199_<12> × [5710463516..._<179617>] (0.01%)

Φ₂₆₉₄₅₈(10) = 9090910000..._<109296> = 210446699 × [4319815916..._<109288>] (0.01%)

Φ₂₆₉₄₅₉(10) = 9000000000..._<268416> = (9000000000..._<268416>) (0.00%)

Φ_269460L(10) = 1000100005..._<35857> = 538921 × 7925896441_<10> × 8587959661_<10> × 288124955281_<12> × 963391176361_<12> × [9821920021..._<35807>] (0.14%)

Φ_269460M(10) = 9999000049..._<35856> = 1077841 × 9161641 × 444900825181_<12> × [2275964007..._<35832>] (0.07%)

Φ₂₆₉₄₆₁(10) = 1111111111..._<269461> = 3233533 × 35125563325667_<14> × (9782658543..._<269440>) (0.01%)

Φ₂₆₉₄₆₂(10) = 9090909090..._<134730> = 26799343211_<11> × 1134522548263613_<16> × [2989992042..._<134705>] (0.02%)

Φ₂₆₉₄₆₃(10) = 9009009009..._<179640> = 1231984837_<10> × [7312597313..._<179631>] (0.01%)

Φ₂₆₉₄₆₄(10) = 1000099999..._<124321> = 147736063177_<12> × [6769504875..._<124309>] (0.01%)

Φ₂₆₉₄₆₅(10) = 1111099888..._<184753> = [1111099888..._<184753>] (0.00%)

Φ₂₆₉₄₆₆(10) = 9100000000..._<88704> = [9100000000..._<88704>] (0.00%)

Φ₂₆₉₄₆₇(10) = 1000000000..._<228801> = (1000000000..._<228801>) (0.00%)

Φ₂₆₉₄₆₈(10) = 9900990099..._<123200> = 1347341 × 5389361 × [1363527261..._<123188>] (0.01%)

Φ₂₆₉₄₆₉(10) = 1001000999..._<176905> = 201562813 × [4966198799..._<176896>] (0.00%)

Φ₂₆₉₄₇₀(10) = 1099989000..._<107785> = [1099989000..._<107785>] (0.00%)

Φ₂₆₉₄₇₁(10) = 9000000000..._<262152> = 1616827 × 5814979382041_<13> × (9572619073..._<262133>) (0.01%)

Φ₂₆₉₄₇₂(10) = 9999999999..._<76800> = 269473 × 808417 × 271431330913_<12> × [1691178033..._<76778>] (0.03%)

Φ₂₆₉₄₇₃(10) = 1111111111..._<269473> = 1077893 × 583678519 × (1766070875..._<269458>) (0.01%)

Φ₂₆₉₄₇₄(10) = 1099999999..._<132661> = 5389481 × 1911109609_<10> × [1067972681..._<132645>] (0.01%)

Φ₂₆₉₄₇₅(10) = 1000010000..._<143681> = 8064847801_<10> × [1239961403..._<143671>] (0.01%)

Φ₂₆₉₄₇₆(10) = 9900990099..._<134736> = 465654529 × [2126252292..._<134728>] (0.01%)

Φ₂₆₉₄₇₇(10) = 1111111111..._<235441> = 26408747 × (4207360201..._<235433>) (0.00%)

Φ₂₆₉₄₇₈(10) = 9990010000..._<81600> = 10740045691_<11> × [9301645716..._<81590>] (0.01%)

Φ₂₆₉₄₇₉(10) = 1111110999..._<228481> = 1077917 × 24519989066609_<14> × (4203894936..._<228461>) (0.01%)

Φ₂₆₉₄₈₀(10) = 1000099999..._<107777> = [1000099999..._<107777>] (0.00%)

Φ₂₆₉₄₈₁(10) = 1109999999..._<175393> = 2155849 × 86425251511_<11> × 165852882347533_<15> × [3592038348..._<175361>] (0.02%)

Φ₂₆₉₄₈₂(10) = 9090909090..._<134740> = [9090909090..._<134740>] (0.00%)

Φ₂₆₉₄₈₃(10) = 9000000000..._<260760> = 17785879 × 660233351 × 36261031532911_<14> × (2113632912..._<260731>) (0.01%)

Φ₂₆₉₄₈₄(10) = 9901000000..._<84480> = [9901000000..._<84480>] (0.00%)

Φ₂₆₉₄₈₅(10) = 9000090000..._<215584> = 495485361431_<12> × (1816418950..._<215573>) (0.01%)

Φ₂₆₉₄₈₆(10) = 1099999890..._<115489> = [1099999890..._<115489>] (0.00%)

Φ₂₆₉₄₈₇(10) = 9999999999..._<179496> = [9999999999..._<179496>] (0.00%)

Φ₂₆₉₄₈₈(10) = 9999999900..._<134736> = [9999999900..._<134736>] (0.00%)

Φ₂₆₉₄₈₉(10) = 9000000000..._<244980> = 367582997 × (2448426633..._<244972>) (0.00%)

Φ₂₆₉₄₉₀(10) = 1098890109..._<66241> = [1098890109..._<66241>] (0.00%)

Φ₂₆₉₄₉₁(10) = 9000000000..._<257752> = 1616947 × 4821368620169_<13> × (1154453348..._<257734>) (0.01%)

Φ₂₆₉₄₉₂(10) = 1009999999..._<133057> = [1009999999..._<133057>] (0.00%)

Φ₂₆₉₄₉₃(10) = 9009009909..._<149760> = 765899107 × 49274100121_<11> × [2387188973..._<149741>] (0.01%)

Φ₂₆₉₄₉₄(10) = 1099999999..._<133561> = 14013689 × 1422928321_<10> × 96165621010259_<14> × [5736372513..._<133530>] (0.02%)

Φ₂₆₉₄₉₅(10) = 9000090000..._<215592> = 40726623391_<11> × 54464400511_<11> × 7540515375161_<13> × 127778038600951_<15> × (4211128296..._<215544>) (0.02%)

Φ₂₆₉₄₉₆(10) = 9999999999..._<84672> = [9999999999..._<84672>] (0.00%)

Φ₂₆₉₄₉₇(10) = 9000000000..._<260176> = (9000000000..._<260176>) (0.00%)

Φ₂₆₉₄₉₈(10) = 1000000000..._<129721> = 25785299143_<11> × 34494203010437_<14> × [1124298706..._<129697>] (0.02%)

Φ₂₆₉₄₉₉(10) = 9009009009..._<179664> = [9009009009..._<179664>] (0.00%)

Φ_269500L(10) = 9999999999..._<42000> = [9999999999..._<42000>] (0.00%)

Φ_269500M(10) = 1000000000..._<42001> = 283407817001_<12> × [3528484184..._<41989>] (0.03%)

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