Factorization of cyclotomic number Phi

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Φ₈₀₈₀₁(10) = 1000000100..._<64513> = 2908837 × [3437800399..._<64506>] (0.01%)

Φ₈₀₈₀₂(10) = 1000000000..._<26533> = 3547046197_<10> × [2819247183..._<26523>] (0.04%)

Φ₈₀₈₀₃(10) = 1111111111..._<80803> = [1111111111..._<80803>] (0.00%)

Φ₈₀₈₀₄(10) = 9900990099..._<40400> = 404021 × [2450612740..._<40395>] (0.01%)

Φ₈₀₈₀₅(10) = 1109988900..._<43089> = 1131271 × 19436511481_<11> × 38298337801_<11> × [1318116319..._<43062>] (0.06%)

Φ₈₀₈₀₆(10) = 1099999999..._<36721> = 242419 × 1777733 × [2552463235..._<36709>] (0.03%)

Φ₈₀₈₀₇(10) = 9000000000..._<76536> = [9000000000..._<76536>] (0.00%)

Φ₈₀₈₀₈(10) = 1000099999..._<20737> = 545964236742289_<15> × 117044397238233193_<18> × [1565051389..._<20705>] (0.15%)

Φ₈₀₈₀₉(10) = 1111111111..._<80809> = 12573245887733_<14> × 43722883119917_<14> × [2021162769..._<80782>] (0.03%)

Φ₈₀₈₁₀(10) = 1099989000..._<32321> = 404051 × 1616201 × 708242436521_<12> × [2378344927..._<32297>] (0.07%)

Φ₈₀₈₁₁(10) = 1000000001..._<51841> = 484867 × [2062421243..._<51835>] (0.01%)

Φ₈₀₈₁₂(10) = 1009999999..._<39777> = 28203389 × [3581129913..._<39769>] (0.02%)

Φ₈₀₈₁₃(10) = 9000000000..._<80220> = 161627 × 2424391 × 557286449 × [4121425477..._<80200>] (0.03%)

Φ₈₀₈₁₄(10) = 1098901098..._<26937> = 33165903973_<11> × 28503039124187161_<17> × [1162453527..._<26910>] (0.10%)

Φ₈₀₈₁₅(10) = 1111099888..._<55393> = 538066271 × 1596212623601_<13> × 2808583196418514481_<19> × [4606162984..._<55353>] (0.07%)

Φ₈₀₈₁₆(10) = 9999999900..._<40400> = 48218157643681_<14> × [2073907504..._<40387>] (0.03%)

Φ₈₀₈₁₇(10) = 9009009009..._<46800> = [9009009009..._<46800>] (0.00%)

Φ₈₀₈₁₈(10) = 1099999999..._<38017> = 80819 × 7084803855967_<13> × [1921106234..._<37999>] (0.05%)

Φ₈₀₈₁₉(10) = 1111111111..._<80819> = 161639 × [6874028613..._<80813>] (0.01%)

Φ_80820L(10) = 9048972901..._<10752> = 9226168741_<10> × 4001295073681_<13> × [2451191911..._<10730>] (0.21%)

Φ_80820M(10) = 1105096689..._<10753> = 1778041 × 617303161 × 154028453221_<12> × [6536707499..._<10726>] (0.24%)

Φ₈₀₈₂₁(10) = 9000000000..._<74592> = [9000000000..._<74592>] (0.00%)

Φ₈₀₈₂₂(10) = 9090910000..._<33000> = [9090910000..._<33000>] (0.00%)

Φ₈₀₈₂₃(10) = 1109999999..._<51969> = [1109999999..._<51969>] (0.00%)

Φ₈₀₈₂₄(10) = 9999000099..._<40408> = 23600609 × 639312909737_<12> × 203504173658297_<15> × [3256466148..._<40375>] (0.08%)

Φ₈₀₈₂₅(10) = 1000010000..._<62401> = 1008696001_<10> × 1714783201_<10> × [5781424035..._<62382>] (0.03%)

Φ₈₀₈₂₆(10) = 9100000000..._<25488> = [9100000000..._<25488>] (0.00%)

Φ₈₀₈₂₇(10) = 9000000000..._<80080> = 2078385479_<10> × 7132954860158689_<16> × [6070814102..._<80055>] (0.03%)

Φ₈₀₈₂₈(10) = 1000000000..._<36521> = 13663180477321_<14> × [7318940137..._<36507>] (0.04%)

Φ₈₀₈₂₉(10) = 1001000999..._<46153> = 7991401573_<10> × 1488474279559_<13> × [8415311996..._<46130>] (0.05%)

Φ₈₀₈₃₀(10) = 9091000000..._<31552> = [9091000000..._<31552>] (0.00%)

Φ₈₀₈₃₁(10) = 1111111111..._<80831> = 484987 × 692560009 × 1896399693653_<13> × 25511600424703733272741187_<26> × [6837579709..._<80778>] (0.06%)

Φ₈₀₈₃₂(10) = 1000000000..._<26881> = 80833 × 1190755637996737_<16> × [1038935667..._<26861>] (0.07%)

Φ₈₀₈₃₃(10) = 1111111111..._<80833> = 323333 × 1317628824791_<13> × [2608040743..._<80815>] (0.02%)

Φ₈₀₈₃₄(10) = 1099999999..._<37297> = 33869447 × 90812951803289_<14> × [3576323422..._<37275>] (0.06%)

Φ₈₀₈₃₅(10) = 9009099100..._<40448> = [9009099100..._<40448>] (0.00%)

Φ₈₀₈₃₆(10) = 1009999999..._<34633> = [1009999999..._<34633>] (0.00%)

Φ₈₀₈₃₇(10) = 9000000000..._<80256> = [9000000000..._<80256>] (0.00%)

Φ₈₀₈₃₈(10) = 1000000000..._<26893> = 87062527 × [1148599787..._<26885>] (0.03%)

Φ₈₀₈₃₉(10) = 9000000000..._<73480> = [9000000000..._<73480>] (0.00%)

Φ₈₀₈₄₀(10) = 9999000099..._<30912> = [9999000099..._<30912>] (0.00%)

Φ₈₀₈₄₁(10) = 9009009009..._<53892> = [9009009009..._<53892>] (0.00%)

Φ₈₀₈₄₂(10) = 1099999999..._<39853> = 485053 × [2267793416..._<39847>] (0.01%)

Φ₈₀₈₄₃(10) = 9000000900..._<69288> = 416008080395994871_<18> × [2163419732..._<69271>] (0.03%)

Φ₈₀₈₄₄(10) = 1009998990..._<26945> = 404221 × [2498630674..._<26939>] (0.02%)

Φ₈₀₈₄₅(10) = 9000090000..._<57024> = 16007311 × 27839137441_<11> × [2019634098..._<57007>] (0.03%)

Φ₈₀₈₄₆(10) = 9090909090..._<40422> = [9090909090..._<40422>] (0.00%)

Φ₈₀₈₄₇(10) = 1001000999..._<49681> = 10510111 × 48993283 × [1943974959..._<49666>] (0.03%)

Φ₈₀₈₄₈(10) = 1000000009..._<38881> = 808481 × [1236887459..._<38875>] (0.02%)

Φ₈₀₈₄₉(10) = 1111111111..._<80849> = 12127351 × [9162026489..._<80841>] (0.01%)

Φ₈₀₈₅₀(10) = 1000000000..._<16801> = 404251 × 5523672970201_<13> × [4478379972..._<16782>] (0.11%)

Φ₈₀₈₅₁(10) = 9000000000..._<80272> = 13421267 × 53199959 × 9812642101000961_<16> × [1284552138..._<80242>] (0.04%)

Φ₈₀₈₅₂(10) = 9900990099..._<35840> = [9900990099..._<35840>] (0.00%)

Φ₈₀₈₅₃(10) = 9009009009..._<53900> = 323413 × 15687907591_<11> × [1775638388..._<53885>] (0.03%)

Φ₈₀₈₅₄(10) = 9090909090..._<40426> = 565979 × 291640379 × 6920871102234356837_<19> × 5495264234383053229592294317_<28> × [1448138176..._<40366>] (0.15%)

Φ₈₀₈₅₅(10) = 1111099999..._<63649> = [1111099999..._<63649>] (0.00%)

Φ₈₀₈₅₆(10) = 1000000000..._<26929> = 26652713672161_<14> × 165686307448393_<15> × [2264498029..._<26901>] (0.10%)

Φ₈₀₈₅₇(10) = 9000000900..._<69300> = 295451479 × 7316546170361_<13> × [4163420411..._<69279>] (0.03%)

Φ₈₀₈₅₈(10) = 9090909090..._<40428> = 165171734191774774764462583_<27> × [5503913327..._<40402>] (0.06%)

Φ₈₀₈₅₉(10) = 9009009009..._<53904> = [9009009009..._<53904>] (0.00%)

Φ_80860L(10) = 3541003541..._<14880> = 139570909661_<12> × 3657616541562828781_<19> × [6936386418..._<14850>] (0.20%)

Φ_80860M(10) = 2796097203..._<14881> = [2796097203..._<14881>] (0.00%)

Φ₈₀₈₆₁(10) = 9000000000..._<73500> = [9000000000..._<73500>] (0.00%)

Φ₈₀₈₆₂(10) = 1098901098..._<26953> = 80863 × [1358966522..._<26948>] (0.02%)

Φ₈₀₈₆₃(10) = 1111111111..._<80863> = [1111111111..._<80863>] (0.00%)

Φ₈₀₈₆₄(10) = 1000000000..._<32833> = 161729 × 5486957904737_<13> × [1126887263..._<32815>] (0.05%)

Φ₈₀₈₆₅(10) = 1000000001..._<43057> = 3072871 × 22642201 × [1437265596..._<43043>] (0.03%)

Φ₈₀₈₆₆(10) = 9090909090..._<40432> = [9090909090..._<40432>] (0.00%)

Φ₈₀₈₆₇(10) = 9000000000..._<80256> = [9000000000..._<80256>] (0.00%)

Φ₈₀₈₆₈(10) = 9901000000..._<25696> = 1213021 × 16448146861_<11> × [4962422827..._<25680>] (0.06%)

Φ₈₀₈₆₉(10) = 1111111111..._<73921> = 206054213 × [5392324160..._<73912>] (0.01%)

Φ₈₀₈₇₀(10) = 1099989000..._<32345> = [1099989000..._<32345>] (0.00%)

Φ₈₀₈₇₁(10) = 1109999889..._<46201> = [1109999889..._<46201>] (0.00%)

Φ₈₀₈₇₂(10) = 1000099999..._<36721> = 808721 × 65432160377_<11> × [1889963631..._<36704>] (0.05%)

Φ₈₀₈₇₃(10) = 9000000000..._<74640> = 3098244631_<10> × [2904870683..._<74631>] (0.01%)

Φ₈₀₈₇₄(10) = 1000999998..._<26953> = 1395885241_<10> × [7171076601..._<26943>] (0.03%)

Φ₈₀₈₇₅(10) = 9999999999..._<64600> = 37687751 × [2653381996..._<64593>] (0.01%)

Φ₈₀₈₇₆(10) = 9900990099..._<40436> = 6308329 × 2165859281_<10> × 40292882117587660369_<20> × [1798480450..._<40401>] (0.09%)

Φ₈₀₈₇₇(10) = 9009009009..._<53916> = 4847605627_<10> × [1858445117..._<53907>] (0.02%)

Φ₈₀₈₇₈(10) = 9090910000..._<33696> = [9090910000..._<33696>] (0.00%)

Φ₈₀₈₇₉(10) = 9000000000..._<78240> = [9000000000..._<78240>] (0.00%)

Φ₈₀₈₈₀(10) = 9999999900..._<21504> = 50792641 × [1968789120..._<21497>] (0.04%)

Φ₈₀₈₈₁(10) = 9000000000..._<78064> = 3404119529_<10> × [2643855459..._<78055>] (0.01%)

Φ₈₀₈₈₂(10) = 1099999999..._<39313> = 889703 × [1236367641..._<39307>] (0.02%)

Φ₈₀₈₈₃(10) = 9990000009..._<45360> = [9990000009..._<45360>] (0.00%)

Φ₈₀₈₈₄(10) = 1009999999..._<39745> = [1009999999..._<39745>] (0.00%)

Φ₈₀₈₈₅(10) = 1111099888..._<55441> = 6470801 × [1717097912..._<55434>] (0.01%)

Φ₈₀₈₈₆(10) = 1098901098..._<23041> = 18438368131_<11> × 129490154743_<12> × 58536138674287_<14> × [7862765172..._<23005>] (0.15%)

Φ₈₀₈₈₇(10) = 9000000000..._<79120> = [9000000000..._<79120>] (0.00%)

Φ₈₀₈₈₈(10) = 9999000099..._<40440> = 253988321 × 7430371681_<10> × 14277633092321_<14> × [3710872815..._<40409>] (0.08%)

Φ₈₀₈₈₉(10) = 1109999999..._<52897> = [1109999999..._<52897>] (0.00%)

Φ₈₀₈₉₀(10) = 1099989000..._<32353> = 1302976121_<10> × [8442127084..._<32343>] (0.03%)

Φ₈₀₈₉₁(10) = 9000000000..._<77352> = 910994443 × [9879313830..._<77343>] (0.01%)

Φ₈₀₈₉₂(10) = 9999999999..._<22896> = [9999999999..._<22896>] (0.00%)

Φ₈₀₈₉₃(10) = 9000000000..._<78880> = 339317498879_<12> × 685953387467_<12> × 242523841223901187_<18> × [1594363006..._<78840>] (0.05%)

Φ₈₀₈₉₄(10) = 1099999999..._<36761> = 728047 × 14472329178583_<14> × [1043986388..._<36742>] (0.05%)

Φ₈₀₈₉₅(10) = 1109988900..._<43137> = 647161 × [1715166550..._<43131>] (0.01%)

Φ₈₀₈₉₆(10) = 9999999999..._<39936> = 80897 × 10431633707318273_<17> × [1184991552..._<39916>] (0.05%)

Φ₈₀₈₉₇(10) = 1111111111..._<80897> = [1111111111..._<80897>] (0.00%)

Φ₈₀₈₉₈(10) = 9100000000..._<26496> = [9100000000..._<26496>] (0.00%)

Φ₈₀₈₉₉(10) = 1000000100..._<63505> = 323597 × 4437310151_<10> × [6964272747..._<63489>] (0.02%)

Φ_80900L(10) = 1010050200..._<16161> = 10295334001_<11> × 16462891570597994425301_<23> × 24886225679926687861901_<23> × [2394624192..._<16106>] (0.34%)

Φ_80900M(10) = 9900498007..._<16160> = [9900498007..._<16160>] (0.00%)

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