Factorization of cyclotomic number Phi

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Φ₂₁₅₁₀₁(10) = 9000000000..._<202432> = 32424952834921_<14> × [2775640120..._<202419>] (0.01%)

Φ₂₁₅₁₀₂(10) = 1099999999..._<106601> = 1277490779_<10> × [8610629666..._<106591>] (0.01%)

Φ₂₁₅₁₀₃(10) = 1109999889..._<122905> = 860413 × [1290078007..._<122899>] (0.00%)

Φ₂₁₅₁₀₄(10) = 9999999999..._<107520> = [9999999999..._<107520>] (0.00%)

Φ₂₁₅₁₀₅(10) = 1111099999..._<156401> = [1111099999..._<156401>] (0.00%)

Φ₂₁₅₁₀₆(10) = 1098901098..._<71701> = 486569773 × 291318498918361_<15> × [7752565037..._<71677>] (0.03%)

Φ₂₁₅₁₀₇(10) = 9000000000..._<214000> = [9000000000..._<214000>] (0.00%)

Φ₂₁₅₁₀₈(10) = 9900990099..._<107552> = 1290649 × [7671326672..._<107546>] (0.01%)

Φ₂₁₅₁₀₉(10) = 1000000001..._<138241> = 78299677 × [1277144477..._<138233>] (0.01%)

Φ₂₁₅₁₁₀(10) = 9999999000..._<73584> = 860441 × 75503611 × 5320100521_<10> × 42910788131_<11> × [6742559822..._<73550>] (0.05%)

Φ₂₁₅₁₁₁(10) = 9000000000..._<198552> = [9000000000..._<198552>] (0.00%)

Φ₂₁₅₁₁₂(10) = 1000099999..._<71697> = [1000099999..._<71697>] (0.00%)

Φ₂₁₅₁₁₃(10) = 9000000000..._<212608> = 812815855570639_<15> × [1107261864..._<212594>] (0.01%)

Φ₂₁₅₁₁₄(10) = 1099999999..._<105677> = 26889251 × 223465801051_<12> × 387633707089_<12> × 2245937082863_<13> × [2102731356..._<105634>] (0.04%)

Φ₂₁₅₁₁₅(10) = 1109988900..._<114721> = 7464201815671_<13> × [1487083183..._<114708>] (0.01%)

Φ₂₁₅₁₁₆(10) = 1009999999..._<97761> = [1009999999..._<97761>] (0.00%)

Φ₂₁₅₁₁₇(10) = 1111110999..._<181585> = [1111110999..._<181585>] (0.00%)

Φ₂₁₅₁₁₈(10) = 1000999998..._<62209> = [1000999998..._<62209>] (0.00%)

Φ₂₁₅₁₁₉(10) = 1111111111..._<200377> = 5249333839_<10> × [2116670696..._<200367>] (0.00%)

Φ₂₁₅₁₂₀(10) = 1000000009..._<86017> = 2581441 × 36204696001_<11> × [1069973189..._<86000>] (0.02%)

Φ₂₁₅₁₂₁(10) = 9009009009..._<143412> = 595237284921397_<15> × [1513515573..._<143398>] (0.01%)

Φ₂₁₅₁₂₂(10) = 1099999999..._<103825> = 645367 × 241999342681_<12> × [7043227949..._<103807>] (0.02%)

Φ₂₁₅₁₂₃(10) = 1111111111..._<215123> = 2581477 × [4304168160..._<215116>] (0.00%)

Φ₂₁₅₁₂₄(10) = 1009998990..._<56449> = [1009998990..._<56449>] (0.00%)

Φ₂₁₅₁₂₅(10) = 9999999999..._<172000> = 8605001 × 41747587751_<11> × [2783669612..._<171983>] (0.01%)

Φ₂₁₅₁₂₆(10) = 9090909090..._<107562> = 14628569 × 30332767 × [2048771108..._<107548>] (0.01%)

Φ₂₁₅₁₂₇(10) = 9990000009..._<124800> = 129497418667_<12> × [7714439494..._<124789>] (0.01%)

Φ₂₁₅₁₂₈(10) = 9999000099..._<107560> = 49263886046561_<14> × [2029681558..._<107547>] (0.01%)

Φ₂₁₅₁₂₉(10) = 9000000000..._<210084> = 396697877 × [2268729055..._<210076>] (0.00%)

Φ₂₁₅₁₃₀(10) = 1098890109..._<56001> = 81696908281_<11> × [1345081635..._<55990>] (0.02%)

Φ₂₁₅₁₃₁(10) = 1111110999..._<181441> = 8736113222803_<13> × [1271859660..._<181428>] (0.01%)

Φ₂₁₅₁₃₂(10) = 9900990099..._<107564> = 1936189 × 3226981 × 101972569 × [1554000337..._<107544>] (0.02%)

Φ₂₁₅₁₃₃(10) = 9009009009..._<143420> = 206527681 × 1289507203_<10> × 677853103849_<12> × [4990446352..._<143391>] (0.02%)

Φ₂₁₅₁₃₄(10) = 1099999999..._<106897> = [1099999999..._<106897>] (0.00%)

Φ₂₁₅₁₃₅(10) = 1111099999..._<161921> = 53498854894631_<14> × [2076866882..._<161907>] (0.01%)

Φ₂₁₅₁₃₆(10) = 1000000000..._<70849> = 8820577 × 96380929 × 1608787009_<10> × 343571974712641_<15> × [2128117557..._<70810>] (0.05%)

Φ₂₁₅₁₃₇(10) = 1000000000..._<185329> = 8605481 × 83903431 × 401445643 × 1165864836839_<13> × [2959171780..._<185293>] (0.02%)

Φ₂₁₅₁₃₈(10) = 9999999999..._<83160> = [9999999999..._<83160>] (0.00%)

Φ₂₁₅₁₃₉(10) = 9009009009..._<143424> = 430279 × 23235013 × 6296688253_<10> × [1431105855..._<143402>] (0.02%)

Φ_215140L(10) = 3541000000..._<41520> = 11800827030721179821_<20> × [3000637150..._<41501>] (0.05%)

Φ_215140M(10) = 2796099999..._<41521> = 59986882266303532901_<20> × [4661185736..._<41501>] (0.05%)

Φ₂₁₅₁₄₁(10) = 1111111111..._<215141> = [1111111111..._<215141>] (0.00%)

Φ₂₁₅₁₄₂(10) = 9100000000..._<68552> = 860569 × 1290853 × [8191791808..._<68540>] (0.02%)

Φ₂₁₅₁₄₃(10) = 1111111111..._<215143> = 2105389399_<10> × [5277461317..._<215133>] (0.00%)

Φ₂₁₅₁₄₄(10) = 9999000099..._<107568> = 645433 × [1549192573..._<107563>] (0.01%)

Φ₂₁₅₁₄₅(10) = 9990000009..._<98208> = [9990000009..._<98208>] (0.00%)

Φ₂₁₅₁₄₆(10) = 1099999999..._<106369> = 9681571 × 105702305531_<12> × [1074885960..._<106351>] (0.02%)

Φ₂₁₅₁₄₇(10) = 9000000000..._<211560> = 140548650397_<12> × 447773833163_<12> × [1430069416..._<211538>] (0.01%)

Φ₂₁₅₁₄₈(10) = 1009998990..._<71713> = 45396229 × [2224852178..._<71705>] (0.01%)

Φ₂₁₅₁₄₉(10) = 9000000000..._<195580> = [9000000000..._<195580>] (0.00%)

Φ₂₁₅₁₅₀(10) = 9999900000..._<79200> = 74913508801_<11> × 323358186451_<12> × [4128113767..._<79178>] (0.03%)

Φ₂₁₅₁₅₁(10) = 1109999999..._<138433> = 714713549317_<12> × [1553069759..._<138421>] (0.01%)

Φ₂₁₅₁₅₂(10) = 9999999900..._<86016> = 215153 × [4647855200..._<86011>] (0.01%)

Φ₂₁₅₁₅₃(10) = 1111111111..._<215153> = [1111111111..._<215153>] (0.00%)

Φ₂₁₅₁₅₄(10) = 1000999998..._<71713> = 2429518969_<10> × 598245646796731_<15> × [6887065853..._<71688>] (0.03%)

Φ₂₁₅₁₅₅(10) = 1111099999..._<167329> = [1111099999..._<167329>] (0.00%)

Φ₂₁₅₁₅₆(10) = 1000000000..._<101233> = [1000000000..._<101233>] (0.00%)

Φ₂₁₅₁₅₇(10) = 9009009009..._<143436> = [9009009009..._<143436>] (0.00%)

Φ₂₁₅₁₅₈(10) = 1099999999..._<106801> = [1099999999..._<106801>] (0.00%)

Φ₂₁₅₁₅₉(10) = 9999999000..._<184380> = 430319 × [2323857185..._<184375>] (0.00%)

Φ₂₁₅₁₆₀(10) = 1000099999..._<51841> = [1000099999..._<51841>] (0.00%)

Φ₂₁₅₁₆₁(10) = 1111111111..._<215161> = 3792075352283_<13> × [2930087110..._<215148>] (0.01%)

Φ₂₁₅₁₆₂(10) = 9090909090..._<107580> = 24794758730899_<14> × [3666464025..._<107567>] (0.01%)

Φ₂₁₅₁₆₃(10) = 1000000001..._<132193> = [1000000001..._<132193>] (0.00%)

Φ₂₁₅₁₆₄(10) = 9900990099..._<107580> = 7961069 × [1243675955..._<107574>] (0.01%)

Φ₂₁₅₁₆₅(10) = 1111099999..._<164561> = [1111099999..._<164561>] (0.00%)

Φ₂₁₅₁₆₆(10) = 1098900989..._<59617> = 430333 × [2553606135..._<59611>] (0.01%)

Φ₂₁₅₁₆₇(10) = 9000000000..._<212976> = 44184295147283_<14> × [2036922841..._<212963>] (0.01%)

Φ₂₁₅₁₆₈(10) = 9999999999..._<104960> = 7746049 × [1290980730..._<104954>] (0.01%)

Φ₂₁₅₁₆₉(10) = 1109999999..._<134977> = 15061831 × 81912322544053_<14> × [8996963702..._<134955>] (0.02%)

Φ₂₁₅₁₇₀(10) = 1099989000..._<86065> = 69930251 × 983972411 × [1598601931..._<86048>] (0.02%)

Φ₂₁₅₁₇₁(10) = 1111111111..._<189001> = [1111111111..._<189001>] (0.00%)

Φ₂₁₅₁₇₂(10) = 9999990000..._<69552> = [9999990000..._<69552>] (0.00%)

Φ₂₁₅₁₇₃(10) = 1111110999..._<180961> = 2582077 × 86069201 × [4999660176..._<180946>] (0.01%)

Φ₂₁₅₁₇₄(10) = 1099999999..._<106921> = [1099999999..._<106921>] (0.00%)

Φ₂₁₅₁₇₅(10) = 9999900000..._<108000> = 149152090878751_<15> × [6704498704..._<107986>] (0.01%)

Φ₂₁₅₁₇₆(10) = 1000099999..._<99265> = 6024929 × 9174768965441_<13> × [1809240733..._<99245>] (0.02%)

Φ₂₁₅₁₇₇(10) = 9000000000..._<213060> = 5058811271_<10> × [1779074078..._<213051>] (0.00%)

Φ₂₁₅₁₇₈(10) = 1098901098..._<71725> = 215179 × [5106916097..._<71719>] (0.01%)

Φ₂₁₅₁₇₉(10) = 1111111111..._<215179> = 151657496018323_<15> × [7326450325..._<215164>] (0.01%)

Φ_215180L(10) = 2826886473..._<34945> = [2826886473..._<34945>] (0.00%)

Φ_215180M(10) = 3572835377..._<34944> = 62127845501_<11> × [5750779458..._<34933>] (0.03%)

Φ₂₁₅₁₈₁(10) = 9990000009..._<143448> = [9990000009..._<143448>] (0.00%)

Φ₂₁₅₁₈₂(10) = 1099999999..._<97801> = 215183 × [5111927986..._<97795>] (0.01%)

Φ₂₁₅₁₈₃(10) = 1111111111..._<215183> = 826302721 × 328435103999_<12> × [4094197023..._<215162>] (0.01%)

Φ₂₁₅₁₈₄(10) = 1000000009..._<71713> = 45684303863329_<14> × [2188935641..._<71699>] (0.02%)

Φ₂₁₅₁₈₅(10) = 9000090000..._<172144> = 1291111 × [6970810411..._<172138>] (0.00%)

Φ₂₁₅₁₈₆(10) = 1099999999..._<101249> = 2300524475891_<13> × [4781518351..._<101236>] (0.01%)

Φ₂₁₅₁₈₇(10) = 1109999889..._<122953> = [1109999889..._<122953>] (0.00%)

Φ₂₁₅₁₈₈(10) = 1009999999..._<102873> = 9683461 × 10530401234161_<14> × [9904803106..._<102852>] (0.02%)

Φ₂₁₅₁₈₉(10) = 9000000000..._<198624> = 43898557 × [2050181285..._<198617>] (0.00%)

Φ₂₁₅₁₉₀(10) = 9999999990..._<57312> = 96592550491_<11> × 129597322550131_<15> × [7988409817..._<57287>] (0.04%)

Φ₂₁₅₁₉₁(10) = 1111111111..._<215191> = 1414506505850467_<16> × [7855114886..._<215175>] (0.01%)

Φ₂₁₅₁₉₂(10) = 1000099999..._<104545> = [1000099999..._<104545>] (0.00%)

Φ₂₁₅₁₉₃(10) = 1109999999..._<130401> = [1109999999..._<130401>] (0.00%)

Φ₂₁₅₁₉₄(10) = 9090910000..._<87264> = [9090910000..._<87264>] (0.00%)

Φ₂₁₅₁₉₅(10) = 1111099999..._<170497> = 105015161 × [1058037705..._<170489>] (0.00%)

Φ₂₁₅₁₉₆(10) = 9901000000..._<70512> = [9901000000..._<70512>] (0.00%)

Φ₂₁₅₁₉₇(10) = 1111111111..._<215197> = 179061119761_<12> × 733122379751_<12> × [8464079176..._<215173>] (0.01%)

Φ₂₁₅₁₉₈(10) = 9090909090..._<107598> = 1936783 × 32064503 × [1463867731..._<107585>] (0.01%)

Φ₂₁₅₁₉₉(10) = 9990000009..._<143460> = 2151991 × 352359095437_<12> × 24024773750599_<14> × [5483782800..._<143429>] (0.02%)

Φ₂₁₅₂₀₀(10) = 1000000000..._<85761> = 40056918259201_<14> × [2496447663..._<85747>] (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