Factorization of cyclotomic number Phi

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Φ₈₇₁₀₁(10) = 1111110999..._<71281> = 564414481 × 20948313107_<11> × [9397454741..._<71261>] (0.03%)

Φ₈₇₁₀₂(10) = 1000000000..._<29017> = 87103 × [1148066083..._<29012>] (0.02%)

Φ₈₇₁₀₃(10) = 1111111111..._<87103> = 1393649 × 70353615719_<11> × [1133228950..._<87086>] (0.02%)

Φ₈₇₁₀₄(10) = 9999999999..._<43520> = 15852929 × 1223639856850561_<16> × 1486826817030768885761_<22> × [3467180770..._<43477>] (0.10%)

Φ₈₇₁₀₅(10) = 1109988900..._<46449> = [1109988900..._<46449>] (0.00%)

Φ₈₇₁₀₆(10) = 1099999999..._<43009> = [1099999999..._<43009>] (0.00%)

Φ₈₇₁₀₇(10) = 1111111111..._<87107> = 29309414933_<11> × 626866347267439_<15> × 11109210970380151_<17> × [5443674777..._<87065>] (0.05%)

Φ₈₇₁₀₈(10) = 1009998990..._<23041> = 7055749 × [1431455384..._<23034>] (0.03%)

Φ₈₇₁₀₉(10) = 9000000000..._<79180> = 348437 × 78557335253_<11> × [3287997663..._<79164>] (0.02%)

Φ₈₇₁₁₀(10) = 9091000000..._<33600> = 29670505304851_<14> × [3063985566..._<33587>] (0.04%)

Φ₈₇₁₁₁(10) = 9990000009..._<58068> = 11386801477_<11> × [8773315342..._<58058>] (0.02%)

Φ₈₇₁₁₂(10) = 9999000099..._<43552> = 5488057 × 19671464105114349889_<20> × [9261925313..._<43526>] (0.06%)

Φ₈₇₁₁₃(10) = 9000000000..._<80400> = 670721373608273521_<18> × 1233198397364072231_<19> × [1088096495..._<80365>] (0.04%)

Φ₈₇₁₁₄(10) = 1098901098..._<29037> = 435571 × 48712145179_<11> × 5179196579..._<29020> (100.00%)

Φ₈₇₁₁₅(10) = 9000090900..._<56160> = 28051031 × [3208470626..._<56153>] (0.01%)

Φ₈₇₁₁₆(10) = 1009999999..._<42001> = [1009999999..._<42001>] (0.00%)

Φ₈₇₁₁₇(10) = 1109999999..._<57121> = [1109999999..._<57121>] (0.00%)

Φ₈₇₁₁₈(10) = 1099999999..._<42505> = 3604964706619_<13> × 75998594755481_<14> × [4015005142..._<42478>] (0.06%)

Φ₈₇₁₁₉(10) = 1111111111..._<87119> = [1111111111..._<87119>] (0.00%)

Φ₈₇₁₂₀(10) = 9999999999..._<21120> = 108203041 × [9241884430..._<21112>] (0.04%)

Φ₈₇₁₂₁(10) = 1111111111..._<87121> = [1111111111..._<87121>] (0.00%)

Φ₈₇₁₂₂(10) = 1000000000..._<37045> = 958343 × [1043467735..._<37039>] (0.02%)

Φ₈₇₁₂₃(10) = 1109999999..._<57345> = [1109999999..._<57345>] (0.00%)

Φ₈₇₁₂₄(10) = 1009999999..._<41625> = 10200823540909_<14> × [9901161371..._<41611>] (0.03%)

Φ₈₇₁₂₅(10) = 1000000000..._<64001> = 315379178239001_<15> × [3170786370..._<63986>] (0.02%)

Φ₈₇₁₂₆(10) = 9100000000..._<26784> = 522757 × 1807690249_<10> × 38213724979_<11> × [2519986105..._<26759>] (0.10%)

Φ₈₇₁₂₇(10) = 9000000000..._<86400> = 1908175222907_<13> × [4716547983..._<86388>] (0.01%)

Φ₈₇₁₂₈(10) = 9999000099..._<43560> = 30852175270057_<14> × [3240938446..._<43547>] (0.03%)

Φ₈₇₁₂₉(10) = 1000000001..._<49681> = [1000000001..._<49681>] (0.00%)

Φ₈₇₁₃₀(10) = 1099989000..._<34849> = 784171 × 10580805811_<11> × 4460591858491_<13> × [2972119955..._<34820>] (0.08%)

Φ₈₇₁₃₁(10) = 9999999999..._<78320> = 7897205317_<10> × [1266270737..._<78311>] (0.01%)

Φ₈₇₁₃₂(10) = 9901000000..._<28288> = 435661 × 1155718849_<10> × 121354748509_<12> × [1620396907..._<28263>] (0.09%)

Φ₈₇₁₃₃(10) = 1111111111..._<87133> = 275033049043_<12> × [4039918529..._<87121>] (0.01%)

Φ₈₇₁₃₄(10) = 1099999999..._<41257> = 1742681 × [6312113347..._<41250>] (0.02%)

Φ₈₇₁₃₅(10) = 9009099100..._<44928> = 9029790465151_<13> × [9977085442..._<44915>] (0.03%)

Φ₈₇₁₃₆(10) = 1000000000..._<37249> = 46269217 × [2161264151..._<37241>] (0.02%)

Φ₈₇₁₃₇(10) = 9000000000..._<85956> = [9000000000..._<85956>] (0.00%)

Φ₈₇₁₃₈(10) = 9990010000..._<28152> = 386805583 × [2582695400..._<28144>] (0.03%)

Φ₈₇₁₃₉(10) = 9000000000..._<80424> = [9000000000..._<80424>] (0.00%)

Φ_87140L(10) = 2824060999..._<17425> = 174281 × 3921301 × 224995481 × 2363933921_<10> × 9213057388961547061_<19> × [8432977575..._<17376>] (0.28%)

Φ_87140M(10) = 3576409999..._<17424> = 15054717094753935301_<20> × [2375607576..._<17405>] (0.11%)

Φ₈₇₁₄₁(10) = 1109999999..._<56161> = 3568081464781879_<16> × [3110915518..._<56145>] (0.03%)

Φ₈₇₁₄₂(10) = 9090909091..._<37120> = [9090909091..._<37120>] (0.00%)

Φ₈₇₁₄₃(10) = 1111110999..._<73081> = 30892988592733_<14> × 56790161192759_<14> × [6333217770..._<73053>] (0.04%)

Φ₈₇₁₄₄(10) = 1000099999..._<29041> = 184919569 × [5408297268..._<29032>] (0.03%)

Φ₈₇₁₄₅(10) = 1111099999..._<67201> = 1394321 × [7968753249..._<67194>] (0.01%)

Φ₈₇₁₄₆(10) = 9090909090..._<43572> = 45056251064322877_<17> × 45595930653188946253837_<23> × [4425131461..._<43533>] (0.09%)

Φ₈₇₁₄₇(10) = 1001000999..._<55441> = [1001000999..._<55441>] (0.00%)

Φ₈₇₁₄₈(10) = 9900990099..._<43572> = 87149 × 67191109 × 70138928131846241_<17> × [2410711747..._<43543>] (0.07%)

Φ₈₇₁₄₉(10) = 1111111111..._<87149> = 186039255172483_<15> × [5972455168..._<87134>] (0.02%)

Φ₈₇₁₅₀(10) = 1000009999..._<19681> = 110070451 × 125496001 × [7239418945..._<19664>] (0.08%)

Φ₈₇₁₅₁(10) = 1111111111..._<87151> = 1790255843_<10> × [6206437562..._<87141>] (0.01%)

Φ₈₇₁₅₂(10) = 1000000009..._<40129> = 56125889 × 7287040177_<10> × [2445037966..._<40111>] (0.04%)

Φ₈₇₁₅₃(10) = 9009009009..._<49680> = 9562601467_<10> × 170103163011409_<15> × [5538454287..._<49656>] (0.05%)

Φ₈₇₁₅₄(10) = 9090909090..._<43576> = 30995056088080879493_<20> × [2933019080..._<43557>] (0.04%)

Φ₈₇₁₅₅(10) = 9000090000..._<69720> = 450417041 × [1998168182..._<69712>] (0.01%)

Φ₈₇₁₅₆(10) = 1000000000..._<28945> = 36866989 × 52677347869_<11> × 1286168761729_<13> × [4003505890..._<28914>] (0.11%)

Φ₈₇₁₅₇(10) = 9000000900..._<74700> = [9000000900..._<74700>] (0.00%)

Φ₈₇₁₅₈(10) = 9090909090..._<43578> = 784423 × 333530093530677369167_<21> × [3474737253..._<43552>] (0.06%)

Φ₈₇₁₅₉(10) = 1109999999..._<54657> = [1109999999..._<54657>] (0.00%)

Φ₈₇₁₆₀(10) = 1000099999..._<34849> = [1000099999..._<34849>] (0.00%)

Φ₈₇₁₆₁(10) = 9000000000..._<85092> = 770832359761679_<15> × [1167569042..._<85078>] (0.02%)

Φ₈₇₁₆₂(10) = 9100000000..._<28512> = 6972961 × [1305041000..._<28506>] (0.02%)

Φ₈₇₁₆₃(10) = 9000000000..._<86200> = 280316209 × 7020653383375987_<16> × [4573163897..._<86176>] (0.03%)

Φ₈₇₁₆₄(10) = 9900990099..._<33840> = 174329 × [5679485397..._<33835>] (0.02%)

Φ₈₇₁₆₅(10) = 9990000009..._<42624> = 215894455921_<12> × [4627261023..._<42613>] (0.03%)

Φ₈₇₁₆₆(10) = 1099999999..._<42481> = [1099999999..._<42481>] (0.00%)

Φ₈₇₁₆₇(10) = 9000000000..._<85800> = 2538303041_<10> × [3545675931..._<85791>] (0.01%)

Φ₈₇₁₆₈(10) = 1000000000..._<28929> = 827747329 × [1208098129..._<28920>] (0.03%)

Φ₈₇₁₆₉(10) = 9000000000..._<85680> = 29384894970359_<14> × [3062798083..._<85667>] (0.02%)

Φ₈₇₁₇₀(10) = 9091000000..._<33264> = [9091000000..._<33264>] (0.00%)

Φ₈₇₁₇₁(10) = 1000000100..._<49729> = 38066703991_<11> × 20016670905583843_<17> × [1312390020..._<49702>] (0.05%)

Φ₈₇₁₇₂(10) = 9900990099..._<38880> = [9900990099..._<38880>] (0.00%)

Φ₈₇₁₇₃(10) = 9000000000..._<86508> = 174347 × [5162119222..._<86503>] (0.01%)

Φ₈₇₁₇₄(10) = 9990010000..._<27888> = 38966779 × 250104559699_<12> × [1025061223..._<27870>] (0.07%)

Φ₈₇₁₇₅(10) = 1000010000..._<63201> = 5753551 × 12420046987151_<14> × [1399410528..._<63181>] (0.03%)

Φ₈₇₁₇₆(10) = 1000099999..._<40961> = [1000099999..._<40961>] (0.00%)

Φ₈₇₁₇₇(10) = 9009009009..._<58116> = [9009009009..._<58116>] (0.00%)

Φ₈₇₁₇₈(10) = 9090910000..._<34416> = 87179 × 4707613 × [2215107062..._<34405>] (0.03%)

Φ₈₇₁₇₉(10) = 1111111111..._<87179> = 303369843151_<12> × [3662562829..._<87167>] (0.01%)

Φ_87180L(10) = 3913542626..._<11616> = [3913542626..._<11616>] (0.00%)

Φ_87180M(10) = 2529932837..._<11617> = [2529932837..._<11617>] (0.00%)

Φ₈₇₁₈₁(10) = 1111111111..._<87181> = 177849241 × [6247488630..._<87172>] (0.01%)

Φ₈₇₁₈₂(10) = 9090909090..._<43590> = 5230921 × 336609703 × 975217853 × 820149239104103_<15> × [6455174599..._<43551>] (0.09%)

Φ₈₇₁₈₃(10) = 9999999990..._<58104> = [9999999990..._<58104>] (0.00%)

Φ₈₇₁₈₄(10) = 9999999900..._<43584> = [9999999900..._<43584>] (0.00%)

Φ₈₇₁₈₅(10) = 9000090900..._<57408> = 136706081 × [6583533691..._<57400>] (0.01%)

Φ₈₇₁₈₆(10) = 9100000000..._<26400> = 675848609173_<12> × 2301544746601_<13> × [5850224672..._<26376>] (0.09%)

Φ₈₇₁₈₇(10) = 1111111111..._<87187> = 56979834161587643_<17> × [1950007625..._<87170>] (0.02%)

Φ₈₇₁₈₈(10) = 1009999999..._<42841> = [1009999999..._<42841>] (0.00%)

Φ₈₇₁₈₉(10) = 9009009009..._<58124> = 348757 × [2583176540..._<58119>] (0.01%)

Φ₈₇₁₉₀(10) = 1099989000..._<34873> = 4213718321_<10> × 23769713997131_<14> × [1098244116..._<34850>] (0.07%)

Φ₈₇₁₉₁(10) = 1111111111..._<76033> = [1111111111..._<76033>] (0.00%)

Φ₈₇₁₉₂(10) = 9999999999..._<24768> = 261577 × 27378289 × [1396349525..._<24756>] (0.05%)

Φ₈₇₁₉₃(10) = 1111111111..._<78145> = 21232716203_<11> × 55150054328519_<14> × 94509930163799_<14> × [1003988061..._<78107>] (0.05%)

Φ₈₇₁₉₄(10) = 9090909090..._<43596> = 24850291 × 2085060080327275768577891_<25> × [1754515715..._<43565>] (0.07%)

Φ₈₇₁₉₅(10) = 1109988900..._<46497> = [1109988900..._<46497>] (0.00%)

Φ₈₇₁₉₆(10) = 9900990099..._<43596> = 25193104301_<11> × 2312722614941_<13> × [1699313056..._<43574>] (0.05%)

Φ₈₇₁₉₇(10) = 9000000000..._<79260> = 21606021449_<11> × [4165505445..._<79250>] (0.01%)

Φ₈₇₁₉₈(10) = 1098901098..._<29065> = [1098901098..._<29065>] (0.00%)

Φ₈₇₁₉₉(10) = 9000000900..._<74736> = 4708747 × 98883667 × 212765561 × 14865657965117_<14> × [6111209384..._<74700>] (0.05%)

Φ₈₇₂₀₀(10) = 1000000000..._<34561> = 76038401 × [1315124972..._<34553>] (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