Factorization of cyclotomic number Phi

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Φ₂₅₁₅₀₁(10) = 1111111111..._<251501> = 503003 × 2012009 × 3018013 × 3810240151_<10> × [9547365324..._<251472>] (0.01%)

Φ₂₅₁₅₀₂(10) = 9100000000..._<83000> = 4381416343_<10> × [2076953954..._<82991>] (0.01%)

Φ₂₅₁₅₀₃(10) = 9000000900..._<194400> = [9000000900..._<194400>] (0.00%)

Φ₂₅₁₅₀₄(10) = 1000000009..._<114241> = [1000000009..._<114241>] (0.00%)

Φ₂₅₁₅₀₅(10) = 1000000000..._<128305> = 1509031 × 1468286191_<10> × 4325777349841_<13> × 38046366058951_<14> × [2742292523..._<128263>] (0.03%)

Φ₂₅₁₅₀₆(10) = 9090909090..._<125752> = [9090909090..._<125752>] (0.00%)

Φ₂₅₁₅₀₇(10) = 9000000000..._<245616> = 235729462877_<12> × [3817935989..._<245605>] (0.00%)

Φ₂₅₁₅₀₈(10) = 1009998990..._<83833> = [1009998990..._<83833>] (0.00%)

Φ₂₅₁₅₀₉(10) = 9000000000..._<249804> = 1006037 × 60362161 × [1482053142..._<249791>] (0.01%)

Φ₂₅₁₅₁₀(10) = 9091000909..._<86208> = 18108721 × 4251141738761_<13> × [1180914182..._<86189>] (0.02%)

Φ₂₅₁₅₁₁(10) = 1109999999..._<154753> = [1109999999..._<154753>] (0.00%)

Φ₂₅₁₅₁₂(10) = 1000099999..._<124321> = 251513 × 50980808347841_<14> × 258263528519657_<15> × [3020043456..._<124287>] (0.03%)

Φ₂₅₁₅₁₃(10) = 1111111111..._<251513> = 8094390061271_<13> × 373513355058427_<15> × [3675083635..._<251485>] (0.01%)

Φ₂₅₁₅₁₄(10) = 9990010000..._<82368> = 177960994327_<12> × 112221408137131_<15> × [5002249914..._<82343>] (0.03%)

Φ₂₅₁₅₁₅(10) = 9000090000..._<171520> = [9000090000..._<171520>] (0.00%)

Φ₂₅₁₅₁₆(10) = 1009999999..._<124753> = 41920777873561_<14> × 280674539123401_<15> × [8583986438..._<124724>] (0.02%)

Φ₂₅₁₅₁₇(10) = 9999999000..._<136416> = [9999999000..._<136416>] (0.00%)

Φ₂₅₁₅₁₈(10) = 1099999999..._<123817> = 972874390699_<12> × [1130670115..._<123805>] (0.01%)

Φ₂₅₁₅₁₉(10) = 1111111111..._<251519> = 503039 × 10563799 × 54473474436431_<14> × [3838403514..._<251492>] (0.01%)

Φ₂₅₁₅₂₀(10) = 9999999999..._<66560> = 103955228161_<12> × 127909393336321_<15> × [7520578086..._<66535>] (0.04%)

Φ₂₅₁₅₂₁(10) = 9000000000..._<248832> = 4454900211683_<13> × 21244286133671_<14> × [9509603002..._<248806>] (0.01%)

Φ₂₅₁₅₂₂(10) = 1099999999..._<119125> = 2263699 × 88195937779_<11> × 65198764188769_<14> × 116576430445183_<15> × [7248953379..._<119079>] (0.04%)

Φ₂₅₁₅₂₃(10) = 9990000009..._<167676> = 4024369 × 13582243 × [1827663326..._<167663>] (0.01%)

Φ₂₅₁₅₂₄(10) = 9900990099..._<99360> = 253576938889_<12> × [3904530964..._<99349>] (0.01%)

Φ₂₅₁₅₂₅(10) = 9999900000..._<201200> = [9999900000..._<201200>] (0.00%)

Φ₂₅₁₅₂₆(10) = 1098901098..._<73441> = 251527 × 503053 × [8684808634..._<73429>] (0.02%)

Φ₂₅₁₅₂₇(10) = 1111111111..._<251527> = 4889684881_<10> × [2272357295..._<251517>] (0.00%)

Φ₂₅₁₅₂₈(10) = 1000099999..._<120209> = [1000099999..._<120209>] (0.00%)

Φ₂₅₁₅₂₉(10) = 9009009009..._<167684> = [9009009009..._<167684>] (0.00%)

Φ₂₅₁₅₃₀(10) = 1099989000..._<100609> = 2796007481_<10> × [3934141834..._<100599>] (0.01%)

Φ₂₅₁₅₃₁(10) = 9000000900..._<215592> = [9000000900..._<215592>] (0.00%)

Φ₂₅₁₅₃₂(10) = 9999999999..._<78336> = [9999999999..._<78336>] (0.00%)

Φ₂₅₁₅₃₃(10) = 1111111111..._<251533> = 8552123 × 300330403 × 16196209871_<11> × 276614361563_<12> × 2406617458025707_<16> × [4012260018..._<251480>] (0.02%)

Φ₂₅₁₅₃₄(10) = 1099999999..._<121681> = [1099999999..._<121681>] (0.00%)

Φ₂₅₁₅₃₅(10) = 9009099100..._<130560> = 199215721 × [4522283208..._<130552>] (0.01%)

Φ₂₅₁₅₃₆(10) = 1000000009..._<123553> = 1760753 × 44793782417_<11> × [1267896582..._<123536>] (0.01%)

Φ₂₅₁₅₃₇(10) = 1111111111..._<210961> = 6539963 × 47987725787_<11> × 2606725723031_<13> × [1358178005..._<210931>] (0.01%)

Φ₂₅₁₅₃₈(10) = 1098900989..._<69889> = 251539 × [4368710176..._<69883>] (0.01%)

Φ₂₅₁₅₃₉(10) = 1111111111..._<251539> = 3235455099883_<13> × 632711389633213361_<18> × [5427707818..._<251508>] (0.01%)

Φ_251540L(10) = 3576409999..._<50304> = 42695393441_<11> × [8376571127..._<50293>] (0.02%)

Φ_251540M(10) = 2824060999..._<50305> = 15092401 × [1871180735..._<50298>] (0.01%)

Φ₂₅₁₅₄₁(10) = 1001000999..._<158761> = 6540067 × [1530566888..._<158754>] (0.00%)

Φ₂₅₁₅₄₂(10) = 1099999999..._<124873> = 251543 × 1006169 × 132311093 × [3284832729..._<124853>] (0.02%)

Φ₂₅₁₅₄₃(10) = 1111111111..._<251543> = 3018517 × 15595667 × 63418047688591_<14> × [3721748677..._<251515>] (0.01%)

Φ₂₅₁₅₄₄(10) = 9999000100..._<81696> = [9999000100..._<81696>] (0.00%)

Φ₂₅₁₅₄₅(10) = 1111099888..._<172465> = [1111099888..._<172465>] (0.00%)

Φ₂₅₁₅₄₆(10) = 1099999999..._<121409> = [1099999999..._<121409>] (0.00%)

Φ₂₅₁₅₄₇(10) = 1109999999..._<166441> = 30185641 × [3677245084..._<166433>] (0.00%)

Φ₂₅₁₅₄₈(10) = 1009999999..._<114321> = [1009999999..._<114321>] (0.00%)

Φ₂₅₁₅₄₉(10) = 9000000000..._<236736> = 7546471 × 57353173 × [2079414903..._<236722>] (0.01%)

Φ₂₅₁₅₅₀(10) = 1000000000..._<60481> = [1000000000..._<60481>] (0.00%)

Φ₂₅₁₅₅₁(10) = 9000000000..._<240592> = 2176419253_<10> × [4135232670..._<240583>] (0.00%)

Φ₂₅₁₅₅₂(10) = 1000000000..._<107713> = 3521729 × [2839514340..._<107706>] (0.01%)

Φ₂₅₁₅₅₃(10) = 1109999999..._<165201> = 3018637 × [3677156279..._<165194>] (0.00%)

Φ₂₅₁₅₅₄(10) = 9090909090..._<125776> = 65152487 × [1395328023..._<125769>] (0.01%)

Φ₂₅₁₅₅₅(10) = 9000090000..._<201240> = 6540431 × 51665875231_<11> × 288984371561_<12> × 12585397272001_<14> × [7323107470..._<201198>] (0.02%)

Φ₂₅₁₅₅₆(10) = 1009998990..._<83849> = 751595998129_<12> × [1343805704..._<83837>] (0.01%)

Φ₂₅₁₅₅₇(10) = 9000000000..._<249100> = [9000000000..._<249100>] (0.00%)

Φ₂₅₁₅₅₈(10) = 1099999999..._<123985> = [1099999999..._<123985>] (0.00%)

Φ₂₅₁₅₅₉(10) = 1000000000..._<130681> = 1006237 × [9938016590..._<130674>] (0.00%)

Φ₂₅₁₅₆₀(10) = 9999000099..._<95040> = 1805636802481_<13> × [5537658562..._<95028>] (0.01%)

Φ₂₅₁₅₆₁(10) = 1111111111..._<251561> = 503123 × 7439168432587_<13> × [2968649518..._<251542>] (0.01%)

Φ₂₅₁₅₆₂(10) = 1098901098..._<83853> = [1098901098..._<83853>] (0.00%)

Φ₂₅₁₅₆₃(10) = 1111111111..._<225505> = 196211593111_<12> × [5662820904..._<225493>] (0.01%)

Φ₂₅₁₅₆₄(10) = 1009999999..._<123601> = 5031281 × 1129167654761_<13> × 99617472866969_<14> × [1784632718..._<123568>] (0.03%)

Φ₂₅₁₅₆₅(10) = 9009099100..._<129600> = [9009099100..._<129600>] (0.00%)

Φ₂₅₁₅₆₆(10) = 9999999000..._<100800> = 251567 × 4373726477_<10> × [9088551366..._<100785>] (0.01%)

Φ₂₅₁₅₆₇(10) = 1111111111..._<251567> = 108284499481_<12> × [1026103566..._<251556>] (0.00%)

Φ₂₅₁₅₆₈(10) = 1000000000..._<83809> = 2264113 × [4416740683..._<83802>] (0.01%)

Φ₂₅₁₅₆₉(10) = 9000000000..._<250096> = 375502958437_<12> × [2396785377..._<250085>] (0.00%)

Φ₂₅₁₅₇₀(10) = 9091000000..._<91440> = [9091000000..._<91440>] (0.00%)

Φ₂₅₁₅₇₁(10) = 9009009009..._<167712> = 11490756997_<11> × [7840222372..._<167702>] (0.01%)

Φ₂₅₁₅₇₂(10) = 1009999999..._<124417> = 58867849 × [1715707329..._<124409>] (0.01%)

Φ₂₅₁₅₇₃(10) = 1111110999..._<212545> = [1111110999..._<212545>] (0.00%)

Φ₂₅₁₅₇₄(10) = 9100000000..._<80168> = 337532339921047_<15> × [2696037956..._<80154>] (0.02%)

Φ₂₅₁₅₇₅(10) = 1000010000..._<193761> = 8318578951_<10> × [1202140420..._<193751>] (0.01%)

Φ₂₅₁₅₇₆(10) = 9999000099..._<111360> = 4528369 × 264017250067273_<15> × [8363392149..._<111339>] (0.02%)

Φ₂₅₁₅₇₇(10) = 9990000009..._<167712> = 187173289 × 214846759 × [2484235766..._<167696>] (0.01%)

Φ₂₅₁₅₇₈(10) = 9090909090..._<125788> = [9090909090..._<125788>] (0.00%)

Φ₂₅₁₅₇₉(10) = 9000000000..._<238320> = 503159 × [1788698999..._<238315>] (0.00%)

Φ_251580L(10) = 3948723401..._<28704> = 502656841 × [7855704090..._<28695>] (0.03%)

Φ_251580M(10) = 2557786117..._<28705> = [2557786117..._<28705>] (0.00%)

Φ₂₅₁₅₈₁(10) = 9000000000..._<228700> = [9000000000..._<228700>] (0.00%)

Φ₂₅₁₅₈₂(10) = 9090909090..._<125790> = 115764450973_<12> × [7852936730..._<125779>] (0.01%)

Φ₂₅₁₅₈₃(10) = 1109999999..._<157825> = 1006333 × 475491871 × [2319733891..._<157810>] (0.01%)

Φ₂₅₁₅₈₄(10) = 9999999999..._<125760> = [9999999999..._<125760>] (0.00%)

Φ₂₅₁₅₈₅(10) = 1111099999..._<198001> = 49813831 × 34495143391481_<14> × [6466142182..._<197979>] (0.01%)

Φ₂₅₁₅₈₆(10) = 1000000000..._<83809> = 26416531 × [3785508400..._<83801>] (0.01%)

Φ₂₅₁₅₈₇(10) = 1111110999..._<213193> = [1111110999..._<213193>] (0.00%)

Φ₂₅₁₅₈₈(10) = 9900990099..._<125792> = 1200654921929_<13> × 79363041116369_<14> × [1039063572..._<125767>] (0.02%)

Φ₂₅₁₅₈₉(10) = 1109999999..._<154801> = 11069917 × 2785593409_<10> × [3599655075..._<154784>] (0.01%)

Φ₂₅₁₅₉₀(10) = 9091000000..._<99360> = 1306003691_<10> × 2270348161_<10> × [3066018644..._<99342>] (0.02%)

Φ₂₅₁₅₉₁(10) = 1111111111..._<239201> = [1111111111..._<239201>] (0.00%)

Φ₂₅₁₅₉₂(10) = 9999000100..._<76160> = 2085697681_<10> × [4794079310..._<76151>] (0.01%)

Φ₂₅₁₅₉₃(10) = 9000000000..._<245700> = [9000000000..._<245700>] (0.00%)

Φ₂₅₁₅₉₄(10) = 1099999890..._<107821> = 19387994660161_<14> × [5673613539..._<107807>] (0.01%)

Φ₂₅₁₅₉₅(10) = 1001000999..._<134161> = 4025521 × 118856716530841_<15> × [2092130092..._<134140>] (0.02%)

Φ₂₅₁₅₉₆(10) = 1009999999..._<121681> = [1009999999..._<121681>] (0.00%)

Φ₂₅₁₅₉₇(10) = 9000000000..._<240636> = 691891751 × [1300781514..._<240628>] (0.00%)

Φ₂₅₁₅₉₈(10) = 9100000000..._<79416> = 3743023447_<10> × [2431189686..._<79407>] (0.01%)

Φ₂₅₁₅₉₉(10) = 9000000000..._<250480> = [9000000000..._<250480>] (0.00%)

Φ₂₅₁₆₀₀(10) = 9999999999..._<92160> = 3019201 × 1676138065601_<13> × [1976051159..._<92142>] (0.02%)

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