Factorization of cyclotomic number Phi

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Φ₈₁₄₀₁(10) = 1111111111..._<81401> = 129319746536359_<15> × [8591967900..._<81386>] (0.02%)

Φ₈₁₄₀₂(10) = 1098901098..._<27133> = 636986767597_<12> × [1725155301..._<27121>] (0.04%)

Φ₈₁₄₀₃(10) = 1111110999..._<67201> = 1302449 × 9768361 × [8733232442..._<67187>] (0.02%)

Φ₈₁₄₀₄(10) = 1009999999..._<39745> = [1009999999..._<39745>] (0.00%)

Φ₈₁₄₀₅(10) = 1000000000..._<42769> = [1000000000..._<42769>] (0.00%)

Φ₈₁₄₀₆(10) = 9090909090..._<36000> = 244219 × 1535398567_<10> × [2424413732..._<35986>] (0.04%)

Φ₈₁₄₀₇(10) = 9000000000..._<80640> = 1366660717_<10> × 1114633735533761_<16> × [5908124178..._<80616>] (0.03%)

Φ₈₁₄₀₈(10) = 1000000000..._<26625> = 5768489473_<10> × 47440335914497_<14> × [3654181714..._<26601>] (0.09%)

Φ₈₁₄₀₉(10) = 1111111111..._<81409> = 213273507203_<12> × [5209794341..._<81397>] (0.01%)

Φ₈₁₄₁₀(10) = 9091000909..._<27888> = 3632595611_<10> × [2502618480..._<27879>] (0.03%)

Φ₈₁₄₁₁(10) = 1109999999..._<49321> = 1791043 × 454932971923_<12> × [1362289947..._<49303>] (0.04%)

Φ₈₁₄₁₂(10) = 9900990099..._<40704> = [9900990099..._<40704>] (0.00%)

Φ₈₁₄₁₃(10) = 9000000000..._<76608> = [9000000000..._<76608>] (0.00%)

Φ₈₁₄₁₄(10) = 1000999998..._<27133> = 588378979 × 662547133 × 99607993651_<11> × 169049169397_<12> × [1524940560..._<27093>] (0.15%)

Φ₈₁₄₁₅(10) = 1111099999..._<61633> = 104374031 × [1064536829..._<61625>] (0.01%)

Φ₈₁₄₁₆(10) = 9999000099..._<40704> = 28209097097_<11> × [3544601255..._<40694>] (0.03%)

Φ₈₁₄₁₇(10) = 1109999889..._<46513> = 12049717 × [9211833680..._<46505>] (0.02%)

Φ₈₁₄₁₈(10) = 9090909090..._<40708> = 569927 × 433284206051_<12> × 71223184880681_<14> × [5168848871..._<40677>] (0.08%)

Φ₈₁₄₁₉(10) = 9000000000..._<75144> = 162839 × 38104093 × [1450482369..._<75132>] (0.02%)

Φ_81420L(10) = 2555229610..._<10209> = 244261 × 14003100121_<11> × 129063320101_<12> × [5788269902..._<10182>] (0.26%)

Φ_81420M(10) = 3952674099..._<10208> = 102344941 × [3862109901..._<10200>] (0.08%)

Φ₈₁₄₂₁(10) = 1111111111..._<81421> = 1146121188298815962197_<22> × 273050887479607951819307_<24> × [3550449638..._<81376>] (0.05%)

Φ₈₁₄₂₂(10) = 1099999999..._<37001> = 1561266851_<10> × [7045560464..._<36991>] (0.02%)

Φ₈₁₄₂₃(10) = 1001000999..._<53137> = 20887930729_<11> × [4792245881..._<53126>] (0.02%)

Φ₈₁₄₂₄(10) = 1000000009..._<34849> = 593825233 × [1683997166..._<34840>] (0.03%)

Φ₈₁₄₂₅(10) = 9999900000..._<65120> = [9999900000..._<65120>] (0.00%)

Φ₈₁₄₂₆(10) = 9100000000..._<26400> = 4315579 × [2108639420..._<26394>] (0.03%)

Φ₈₁₄₂₇(10) = 9000000000..._<80560> = 572920373 × 205784268649_<12> × 14317251659528791_<17> × [5331831461..._<80524>] (0.04%)

Φ₈₁₄₂₈(10) = 9900990099..._<40712> = 1389557012941_<13> × 5386503544514103881_<19> × [1322803410..._<40682>] (0.08%)

Φ₈₁₄₂₉(10) = 9009009009..._<54284> = 220835449 × 15267848090959_<14> × 1419501124773517_<16> × [1882325221..._<54248>] (0.07%)

Φ₈₁₄₃₀(10) = 9091000000..._<30592> = 244291 × 54720961 × [6800650791..._<30579>] (0.04%)

Φ₈₁₄₃₁(10) = 9000000900..._<69792> = 58630321 × 817922930609_<12> × [1876756363..._<69773>] (0.03%)

Φ₈₁₄₃₂(10) = 9999999999..._<24192> = [9999999999..._<24192>] (0.00%)

Φ₈₁₄₃₃(10) = 9999999999..._<73920> = [9999999999..._<73920>] (0.00%)

Φ₈₁₄₃₄(10) = 1099999999..._<38557> = [1099999999..._<38557>] (0.00%)

Φ₈₁₄₃₅(10) = 9009099100..._<42240> = [9009099100..._<42240>] (0.00%)

Φ₈₁₄₃₆(10) = 9900990099..._<40716> = 316215989 × 5894742413662561_<16> × [5311656335..._<40692>] (0.06%)

Φ₈₁₄₃₇(10) = 1111111111..._<75601> = 20960906557_<11> × 423156440253273787_<18> × [1252698258..._<75573>] (0.04%)

Φ₈₁₄₃₈(10) = 9999999000..._<23184> = 98823547117_<11> × [1011904479..._<23174>] (0.05%)

Φ₈₁₄₃₉(10) = 1111111111..._<81439> = 20011353959_<11> × [5552403467..._<81428>] (0.01%)

Φ₈₁₄₄₀(10) = 1000000000..._<32513> = 162881 × 1628801 × 466651201 × [8077354763..._<32492>] (0.06%)

Φ₈₁₄₄₁(10) = 9990000009..._<54288> = [9990000009..._<54288>] (0.00%)

Φ₈₁₄₄₂(10) = 1099999999..._<39733> = 47236361 × [2328714525..._<39725>] (0.02%)

Φ₈₁₄₄₃(10) = 9000000000..._<77880> = 55381241 × 11796219268399_<14> × [1377643950..._<77860>] (0.03%)

Φ₈₁₄₄₄(10) = 9901000000..._<24640> = [9901000000..._<24640>] (0.00%)

Φ₈₁₄₄₅(10) = 9000090900..._<51264> = 68413801 × 252042140351_<12> × 420219061081_<12> × [1242093441..._<51234>] (0.06%)

Φ₈₁₄₄₆(10) = 1099999999..._<40321> = [1099999999..._<40321>] (0.00%)

Φ₈₁₄₄₇(10) = 1109999999..._<51073> = [1109999999..._<51073>] (0.00%)

Φ₈₁₄₄₈(10) = 9999000099..._<40720> = 9348382100537_<13> × [1069596855..._<40708>] (0.03%)

Φ₈₁₄₄₉(10) = 9000000000..._<80340> = 960446609 × [9370640612..._<80331>] (0.01%)

Φ₈₁₄₅₀(10) = 9999999999..._<21600> = 10450529890201_<14> × [9568892778..._<21587>] (0.06%)

Φ₈₁₄₅₁(10) = 9000000000..._<79672> = [9000000000..._<79672>] (0.00%)

Φ₈₁₄₅₂(10) = 1009999999..._<34897> = [1009999999..._<34897>] (0.00%)

Φ₈₁₄₅₃(10) = 1109999999..._<51409> = 162907 × 325813 × [2091292712..._<51398>] (0.02%)

Φ₈₁₄₅₄(10) = 1099999999..._<40297> = 20119139 × 5045097853_<10> × 42288040985077_<14> × 1716742823982049_<16> × [1492763104..._<40251>] (0.11%)

Φ₈₁₄₅₅(10) = 1111099999..._<59201> = [1111099999..._<59201>] (0.00%)

Φ₈₁₄₅₆(10) = 1000000009..._<27137> = 81457 × 200936988288433_<15> × [6109584902..._<27117>] (0.07%)

Φ₈₁₄₅₇(10) = 1111111111..._<81457> = [1111111111..._<81457>] (0.00%)

Φ₈₁₄₅₈(10) = 1000000000..._<37441> = 407291 × 8819353801051_<13> × [2783930706..._<37422>] (0.05%)

Φ₈₁₄₅₉(10) = 1000000001..._<46441> = 5641380158653_<13> × 6138126915733_<13> × [2887877517..._<46415>] (0.05%)

Φ_81460L(10) = 3576409999..._<16288> = [3576409999..._<16288>] (0.00%)

Φ_81460M(10) = 2824060999..._<16289> = 85702417738361_<14> × 1235431534188121_<16> × [2667241359..._<16260>] (0.18%)

Φ₈₁₄₆₁(10) = 9999999999..._<77168> = [9999999999..._<77168>] (0.00%)

Φ₈₁₄₆₂(10) = 1098901098..._<27153> = 81463 × 325849 × 40248337651_<11> × [1028570034..._<27132>] (0.08%)

Φ₈₁₄₆₃(10) = 1111111111..._<81463> = 36562679852801_<14> × [3038921423..._<81449>] (0.02%)

Φ₈₁₄₆₄(10) = 1000099999..._<38273> = [1000099999..._<38273>] (0.00%)

Φ₈₁₄₆₅(10) = 1109988900..._<43441> = 20855041 × [5322400948..._<43433>] (0.02%)

Φ₈₁₄₆₆(10) = 9999999999..._<30360> = 76932348037279967_<17> × [1299843337..._<30344>] (0.06%)

Φ₈₁₄₆₇(10) = 9000000000..._<79440> = [9000000000..._<79440>] (0.00%)

Φ₈₁₄₆₈(10) = 9999990000..._<25920> = 634717189 × [1575503259..._<25912>] (0.03%)

Φ₈₁₄₆₉(10) = 9000000000..._<80896> = 109820213 × 373290959 × [2195395431..._<80880>] (0.02%)

Φ₈₁₄₇₀(10) = 1099989000..._<32585> = 244411 × 45867611 × 675727414891_<12> × [1452077963..._<32560>] (0.08%)

Φ₈₁₄₇₁(10) = 1109999999..._<50113> = 488827 × [2270742000..._<50107>] (0.01%)

Φ₈₁₄₇₂(10) = 1000000000..._<38017> = 2348348929_<10> × [4258310967..._<38007>] (0.02%)

Φ₈₁₄₇₃(10) = 1111110999..._<68545> = 162947 × 30024429961_<11> × [2271100261..._<68529>] (0.02%)

Φ₈₁₄₇₄(10) = 9100000000..._<26352> = [9100000000..._<26352>] (0.00%)

Φ₈₁₄₇₅(10) = 9999900000..._<65160> = 13045965784744801_<17> × [7665128182..._<65144>] (0.02%)

Φ₈₁₄₇₆(10) = 9900990099..._<40736> = [9900990099..._<40736>] (0.00%)

Φ₈₁₄₇₇(10) = 1001000999..._<49321> = [1001000999..._<49321>] (0.00%)

Φ₈₁₄₇₈(10) = 9090909090..._<40738> = 25747049 × [3530854775..._<40731>] (0.02%)

Φ₈₁₄₇₉(10) = 9000000000..._<80040> = [9000000000..._<80040>] (0.00%)

Φ₈₁₄₈₀(10) = 1000099999..._<18433> = [1000099999..._<18433>] (0.00%)

Φ₈₁₄₈₁(10) = 9000000000..._<76672> = 20533213 × 534189437 × [8205221343..._<76656>] (0.02%)

Φ₈₁₄₈₂(10) = 1099999999..._<40301> = 488893 × 266450362804651_<15> × [8444278536..._<40280>] (0.05%)

Φ₈₁₄₈₃(10) = 1109999999..._<53665> = 43674889 × 172510592689_<12> × [1473246444..._<53646>] (0.04%)

Φ₈₁₄₈₄(10) = 1009999999..._<37585> = 814841 × [1239505621..._<37579>] (0.02%)

Φ₈₁₄₈₅(10) = 1111099999..._<63505> = [1111099999..._<63505>] (0.00%)

Φ₈₁₄₈₆(10) = 1000000000..._<27109> = 162973 × [6135985715..._<27103>] (0.02%)

Φ₈₁₄₈₇(10) = 9999999000..._<69804> = 84949314017947_<14> × [1177172425..._<69791>] (0.02%)

Φ₈₁₄₈₈(10) = 1000000009..._<36961> = 105608449 × [9468939459..._<36952>] (0.02%)

Φ₈₁₄₈₉(10) = 1109999999..._<51921> = 725904013 × [1529127791..._<51912>] (0.02%)

Φ₈₁₄₉₀(10) = 9091000000..._<31360> = 359941331 × 3814148902841_<13> × [6621895086..._<31339>] (0.07%)

Φ₈₁₄₉₁(10) = 9000000000..._<77184> = 488947 × [1840690299..._<77179>] (0.01%)

Φ₈₁₄₉₂(10) = 1009998990..._<27161> = 146080032949_<12> × [6914011241..._<27149>] (0.04%)

Φ₈₁₄₉₃(10) = 9000000000..._<80908> = [9000000000..._<80908>] (0.00%)

Φ₈₁₄₉₄(10) = 1099999890..._<34921> = 414339521066863549739_<21> × [2654827343..._<34900>] (0.06%)

Φ₈₁₄₉₅(10) = 1001000999..._<43441> = 30929145391_<11> × 1404461996404921_<16> × [2304393275..._<43415>] (0.06%)

Φ₈₁₄₉₆(10) = 1000099999..._<39841> = 47894892856537_<14> × [2088114077..._<39827>] (0.03%)

Φ₈₁₄₉₇(10) = 9000000000..._<75216> = 68457481 × [1314684658..._<75209>] (0.01%)

Φ₈₁₄₉₈(10) = 9999999999..._<25024> = 162997 × [6135082240..._<25019>] (0.02%)

Φ₈₁₄₉₉(10) = 1111111111..._<71401> = 205377481 × 4236970013_<10> × 10071739980853_<14> × 138223114951215344249_<21> × [9172001062..._<71349>] (0.07%)

Φ_81500L(10) = 1000000000..._<16201> = [1000000000..._<16201>] (0.00%)

Φ_81500M(10) = 9999999999..._<16200> = 19536772501_<11> × 2718382622081501_<16> × 17601677538589951501_<20> × 117287880201077054501_<21> × [9120725764..._<16135>] (0.40%)

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