Factorization of cyclotomic number Phi

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Φ₁₂₂₂₀₁(10) = 1111111111..._<122201> = 244403 × 5132443 × 19307759 × [4587699400..._<122181>] (0.02%)

Φ₁₂₂₂₀₂(10) = 9999999990..._<38880> = [9999999990..._<38880>] (0.00%)

Φ₁₂₂₂₀₃(10) = 1111111111..._<122203> = 4227311187997_<13> × [2628410972..._<122190>] (0.01%)

Φ₁₂₂₂₀₄(10) = 1009999999..._<60385> = 1466449 × [6887385787..._<60378>] (0.01%)

Φ₁₂₂₂₀₅(10) = 1109988900..._<65169> = 1000858951_<10> × 881910498169201_<15> × [1257538372..._<65145>] (0.04%)

Φ₁₂₂₂₀₆(10) = 9999999000..._<49392> = 122207 × [8182836498..._<49387>] (0.01%)

Φ₁₂₂₂₀₇(10) = 1111111111..._<122207> = 482908292921_<12> × [2300873949..._<122195>] (0.01%)

Φ₁₂₂₂₀₈(10) = 9999999999..._<38016> = 939006074000353_<15> × [1064955837..._<38002>] (0.04%)

Φ₁₂₂₂₀₉(10) = 1111111111..._<122209> = 3700488521_<10> × [3002606560..._<122199>] (0.01%)

Φ₁₂₂₂₁₀(10) = 9999999999..._<44000> = 2493084001_<10> × [4011096295..._<43991>] (0.02%)

Φ₁₂₂₂₁₁(10) = 1001000999..._<79057> = [1001000999..._<79057>] (0.00%)

Φ₁₂₂₂₁₂(10) = 9900990099..._<61104> = 15765349 × 788811243401_<12> × [7961629155..._<61085>] (0.03%)

Φ₁₂₂₂₁₃(10) = 9000000900..._<89856> = [9000000900..._<89856>] (0.00%)

Φ₁₂₂₂₁₄(10) = 1098901098..._<40737> = 13200578569_<11> × [8324643447..._<40726>] (0.02%)

Φ₁₂₂₂₁₅(10) = 9000090000..._<97768> = [9000090000..._<97768>] (0.00%)

Φ₁₂₂₂₁₆(10) = 9999000099..._<61104> = [9999000099..._<61104>] (0.00%)

Φ₁₂₂₂₁₇(10) = 9009009009..._<81476> = 1500824761_<10> × 16937616982009_<14> × 220397488014043_<15> × [1608007562..._<81440>] (0.05%)

Φ₁₂₂₂₁₈(10) = 1099999999..._<59905> = 122219 × 44949947131_<11> × 628443934257521_<15> × [3186091435..._<59874>] (0.05%)

Φ₁₂₂₂₁₉(10) = 1111111111..._<122219> = [1111111111..._<122219>] (0.00%)

Φ_122220L(10) = 1105097795..._<13825> = [1105097795..._<13825>] (0.00%)

Φ_122220M(10) = 9048981949..._<13824> = 89746340818681_<14> × [1008284222..._<13811>] (0.10%)

Φ₁₂₂₂₂₁(10) = 1111111111..._<108001> = 6700888547_<10> × [1658154889..._<107991>] (0.01%)

Φ₁₂₂₂₂₂(10) = 1099999999..._<58433> = 33366607 × 17170242659099_<14> × [1920013163..._<58412>] (0.04%)

Φ₁₂₂₂₂₃(10) = 1109999999..._<80601> = 1222231 × [9081752958..._<80594>] (0.01%)

Φ₁₂₂₂₂₄(10) = 9999999900..._<61104> = 429326833553_<12> × [2329227786..._<61093>] (0.02%)

Φ₁₂₂₂₂₅(10) = 9999900000..._<97760> = 733351 × 6844601 × 2680061553551_<13> × [7433457511..._<97735>] (0.03%)

Φ₁₂₂₂₂₆(10) = 9100000000..._<37584> = 611131 × 149967268543_<12> × [9929116279..._<37567>] (0.05%)

Φ₁₂₂₂₂₇(10) = 1111110999..._<99145> = 95737196729987_<14> × [1160584431..._<99131>] (0.01%)

Φ₁₂₂₂₂₈(10) = 9900990099..._<61112> = [9900990099..._<61112>] (0.00%)

Φ₁₂₂₂₂₉(10) = 9999999999..._<81324> = 34224121 × [2921915803..._<81317>] (0.01%)

Φ₁₂₂₂₃₀(10) = 9091000000..._<45952> = 27868441 × 170675982731_<12> × 477819763710721_<15> × [4000022756..._<45919>] (0.07%)

Φ₁₂₂₂₃₁(10) = 1111111111..._<122231> = [1111111111..._<122231>] (0.00%)

Φ₁₂₂₂₃₂(10) = 9999000100..._<36960> = 20779441 × 191314040465593_<15> × 940980263432617_<15> × [2672977814..._<36924>] (0.10%)

Φ₁₂₂₂₃₃(10) = 9000000000..._<118260> = 114410089 × [7866439121..._<118252>] (0.01%)

Φ₁₂₂₂₃₄(10) = 1099999890..._<52381> = 24308753372123042887_<20> × [4525118475..._<52361>] (0.04%)

Φ₁₂₂₂₃₅(10) = 9009099100..._<62720> = 244471 × [3685140200..._<62715>] (0.01%)

Φ₁₂₂₂₃₆(10) = 9900990099..._<61116> = 59242044109_<11> × [1671277594..._<61106>] (0.02%)

Φ₁₂₂₂₃₇(10) = 9000000000..._<121500> = 561430648973921_<15> × [1603047503..._<121486>] (0.01%)

Φ₁₂₂₂₃₈(10) = 1000999998..._<40741> = 6723091 × [1488898482..._<40734>] (0.02%)

Φ₁₂₂₂₃₉(10) = 9000000000..._<112824> = 70049582377399_<14> × [1284804233..._<112811>] (0.01%)

Φ₁₂₂₂₄₀(10) = 1000000000..._<48641> = 244481 × [4090297405..._<48635>] (0.01%)

Φ₁₂₂₂₄₁(10) = 1109999889..._<69841> = 4688425935397_<13> × [2367532097..._<69828>] (0.02%)

Φ₁₂₂₂₄₂(10) = 9090909090..._<61120> = [9090909090..._<61120>] (0.00%)

Φ₁₂₂₂₄₃(10) = 9000000000..._<111120> = 707372566231_<12> × [1272313972..._<111109>] (0.01%)

Φ₁₂₂₂₄₄(10) = 9901000000..._<39840> = 5081316349_<10> × [1948510842..._<39831>] (0.02%)

Φ₁₂₂₂₄₅(10) = 1111099999..._<93457> = 3050990711_<10> × [3641767888..._<93447>] (0.01%)

Φ₁₂₂₂₄₆(10) = 1099999999..._<57889> = 40158055493_<11> × 13260841207115809_<17> × [2065612889..._<57862>] (0.05%)

Φ₁₂₂₂₄₇(10) = 1000000000..._<75073> = 1222471 × [8180153148..._<75066>] (0.01%)

Φ₁₂₂₂₄₈(10) = 9999000099..._<50112> = 3300697 × 418943897 × [7230944798..._<50097>] (0.03%)

Φ₁₂₂₂₄₉(10) = 9000000000..._<119364> = 178172118007441_<15> × [5051295399..._<119350>] (0.01%)

Φ₁₂₂₂₅₀(10) = 9999999999..._<32400> = [9999999999..._<32400>] (0.00%)

Φ₁₂₂₂₅₁(10) = 1111111111..._<122251> = 38040224101933_<14> × 268772625261599_<15> × 3347752229883317_<16> × [3246206047..._<122207>] (0.04%)

Φ₁₂₂₂₅₂(10) = 1009999999..._<56401> = [1009999999..._<56401>] (0.00%)

Φ₁₂₂₂₅₃(10) = 9009009009..._<81500> = 244507 × 733519 × [5023129288..._<81489>] (0.01%)

Φ₁₂₂₂₅₄(10) = 1099999999..._<55561> = [1099999999..._<55561>] (0.00%)

Φ₁₂₂₂₅₅(10) = 1000000100..._<83665> = [1000000100..._<83665>] (0.00%)

Φ₁₂₂₂₅₆(10) = 1000000000..._<40609> = 144384337 × [6925959011..._<40600>] (0.02%)

Φ₁₂₂₂₅₇(10) = 9000000000..._<121396> = [9000000000..._<121396>] (0.00%)

Φ₁₂₂₂₅₈(10) = 9090909090..._<61128> = 694669957 × [1308665935..._<61120>] (0.01%)

Φ₁₂₂₂₅₉(10) = 1109999999..._<80361> = 82891603 × [1339098243..._<80353>] (0.01%)

Φ_122260L(10) = 3576409999..._<24448> = 8067286610021_<13> × [4433225410..._<24435>] (0.05%)

Φ_122260M(10) = 2824060999..._<24449> = 11573135145541_<14> × [2440186660..._<24436>] (0.05%)

Φ₁₂₂₂₆₁(10) = 9000000000..._<120972> = 49882489 × [1804240361..._<120965>] (0.01%)

Φ₁₂₂₂₆₂(10) = 1098900989..._<33601> = 122263 × [8988009365..._<33595>] (0.02%)

Φ₁₂₂₂₆₃(10) = 1111111111..._<122263> = 489053 × 264577133 × 2920129493_<10> × 804214959199_<12> × [3656579325..._<122227>] (0.03%)

Φ₁₂₂₂₆₄(10) = 9999000099..._<53760> = 3861553120010740484233_<22> × [2589372666..._<53739>] (0.04%)

Φ₁₂₂₂₆₅(10) = 1001000999..._<51841> = 1060460086836151_<16> × [9439308583..._<51825>] (0.03%)

Φ₁₂₂₂₆₆(10) = 1099999999..._<60481> = 1046596961_<10> × [1051025409..._<60472>] (0.01%)

Φ₁₂₂₂₆₇(10) = 1111111111..._<122267> = 11949153911_<11> × 568643678402431_<15> × [1635234796..._<122242>] (0.02%)

Φ₁₂₂₂₆₈(10) = 9901000000..._<38896> = 1222681 × 3790309 × [2136442852..._<38884>] (0.03%)

Φ₁₂₂₂₆₉(10) = 9000000900..._<104796> = [9000000900..._<104796>] (0.00%)

Φ₁₂₂₂₇₀(10) = 1099989000..._<48905> = 8974618001_<10> × [1225666652..._<48895>] (0.02%)

Φ₁₂₂₂₇₁(10) = 1109999999..._<79873> = [1109999999..._<79873>] (0.00%)

Φ₁₂₂₂₇₂(10) = 9999999999..._<61120> = 122273 × 2082720629210561_<16> × [3926796664..._<61100>] (0.03%)

Φ₁₂₂₂₇₃(10) = 1111111111..._<122273> = 244547 × 10162696521685843_<17> × [4470809800..._<122251>] (0.02%)

Φ₁₂₂₂₇₄(10) = 1000999998..._<40753> = [1000999998..._<40753>] (0.00%)

Φ₁₂₂₂₇₅(10) = 1000010000..._<95041> = 18779728151_<11> × [5324943961..._<95030>] (0.01%)

Φ₁₂₂₂₇₆(10) = 9900990099..._<47520> = 283257514343719301_<18> × [3495402450..._<47503>] (0.04%)

Φ₁₂₂₂₇₇(10) = 9009009009..._<81516> = [9009009009..._<81516>] (0.00%)

Φ₁₂₂₂₇₈(10) = 1099999999..._<56425> = 1100503 × [9995429362..._<56418>] (0.01%)

Φ₁₂₂₂₇₉(10) = 1111111111..._<122279> = 24944917 × [4454258601..._<122271>] (0.01%)

Φ₁₂₂₂₈₀(10) = 9999000100..._<32576> = 136149242161_<12> × 4313667320112681121_<19> × [1702529697..._<32547>] (0.09%)

Φ₁₂₂₂₈₁(10) = 9000000000..._<115072> = 6358613 × [1415403013..._<115066>] (0.01%)

Φ₁₂₂₂₈₂(10) = 9090909090..._<61140> = 64020616739207_<14> × 35405875169819438012717099_<26> × [4010625653..._<61101>] (0.06%)

Φ₁₂₂₂₈₃(10) = 1000000001..._<69769> = 489133 × 1222831 × 465898231 × [3588521354..._<69748>] (0.03%)

Φ₁₂₂₂₈₄(10) = 1009999999..._<57889> = [1009999999..._<57889>] (0.00%)

Φ₁₂₂₂₈₅(10) = 1111099999..._<95041> = 2717349524111_<13> × [4088910867..._<95028>] (0.01%)

Φ₁₂₂₂₈₆(10) = 9100000000..._<40128> = [9100000000..._<40128>] (0.00%)

Φ₁₂₂₂₈₇(10) = 9000000000..._<111160> = 960642404107_<12> × 5375951500547_<13> × [1742711167..._<111136>] (0.02%)

Φ₁₂₂₂₈₈(10) = 9999999900..._<61136> = 79638470257_<11> × 333899563315537_<15> × [3760635447..._<61111>] (0.04%)

Φ₁₂₂₂₈₉(10) = 9009009009..._<81524> = 3913249 × 28126471 × [8185105719..._<81510>] (0.02%)

Φ₁₂₂₂₉₀(10) = 9091000909..._<41904> = [9091000909..._<41904>] (0.00%)

Φ₁₂₂₂₉₁(10) = 1111111111..._<107713> = [1111111111..._<107713>] (0.00%)

Φ₁₂₂₂₉₂(10) = 9999990000..._<39312> = [9999990000..._<39312>] (0.00%)

Φ₁₂₂₂₉₃(10) = 9000000000..._<118048> = 323342693 × 908268888071_<12> × [3064538066..._<118028>] (0.02%)

Φ₁₂₂₂₉₄(10) = 1099999999..._<59801> = [1099999999..._<59801>] (0.00%)

Φ₁₂₂₂₉₅(10) = 9009099100..._<62880> = [9009099100..._<62880>] (0.00%)

Φ₁₂₂₂₉₆(10) = 9999000099..._<61144> = [9999000099..._<61144>] (0.00%)

Φ₁₂₂₂₉₇(10) = 9000000900..._<104820> = [9000000900..._<104820>] (0.00%)

Φ₁₂₂₂₉₈(10) = 1098901098..._<34561> = 122299 × 244597 × 31501396543_<11> × [1166150943..._<34540>] (0.06%)

Φ₁₂₂₂₉₉(10) = 1111111111..._<122299> = 489197 × 184810177067_<12> × [1228988509..._<122282>] (0.01%)

Φ_122300L(10) = 9900498007..._<24440> = 25789645601_<11> × 252340513270801_<15> × 29983988840444508601_<20> × [5073822580..._<24396>] (0.18%)

Φ_122300M(10) = 1010050200..._<24441> = 663093826503355889801_<21> × [1523238733..._<24420>] (0.09%)

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