Factorization of cyclotomic number Phi

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Φ₂₇₂₀₀₁(10) = 1109999999..._<178641> = 964515547 × 1254468613_<10> × [9173898836..._<178622>] (0.01%)

Φ₂₇₂₀₀₂(10) = 1099999999..._<135253> = 35088259 × [3134951779..._<135245>] (0.01%)

Φ₂₇₂₀₀₃(10) = 1111111111..._<272003> = 933552595110413_<15> × (1190196585..._<271988>) (0.01%)

Φ₂₇₂₀₀₄(10) = 9901000000..._<85824> = 14144209 × [7000037966..._<85817>] (0.01%)

Φ₂₇₂₀₀₅(10) = 9000090000..._<217600> = (9000090000..._<217600>) (0.00%)

Φ₂₇₂₀₀₆(10) = 1099999890..._<116569> = 2176049 × 22032487 × 12245982127_<11> × [1873556642..._<116545>] (0.02%)

Φ₂₇₂₀₀₇(10) = 9990000009..._<181332> = 2720071 × 2936587573_<10> × [1250668730..._<181317>] (0.01%)

Φ₂₇₂₀₀₈(10) = 1000000000..._<123201> = 853017089 × 4095071463737_<13> × [2862732596..._<123179>] (0.02%)

Φ₂₇₂₀₀₉(10) = 1111111111..._<272009> = 1181440626493_<13> × (9404713924..._<271996>) (0.00%)

Φ₂₇₂₀₁₀(10) = 9100090999..._<72528> = 272011 × 14416531 × 1109744493931_<13> × 289808135471161_<15> × [7215475000..._<72489>] (0.05%)

Φ₂₇₂₀₁₁(10) = 1111111111..._<272011> = 989031997 × (1123432926..._<272002>) (0.00%)

Φ₂₇₂₀₁₂(10) = 1009999999..._<125521> = 2448109 × 5440241 × [7583548770..._<125507>] (0.01%)

Φ₂₇₂₀₁₃(10) = 1109999889..._<155425> = 5819446123_<10> × [1907397827..._<155415>] (0.01%)

Φ₂₇₂₀₁₄(10) = 1099999999..._<135241> = 1904099 × [5777010544..._<135234>] (0.00%)

Φ₂₇₂₀₁₅(10) = 9000090000..._<217608> = 544031 × (1654334036..._<217603>) (0.00%)

Φ₂₇₂₀₁₆(10) = 1000000000..._<90625> = [1000000000..._<90625>] (0.00%)

Φ₂₇₂₀₁₇(10) = 9000000000..._<256000> = 76301856569_<11> × (1179525689..._<255990>) (0.00%)

Φ₂₇₂₀₁₈(10) = 1099999999..._<132805> = [1099999999..._<132805>] (0.00%)

Φ₂₇₂₀₁₉(10) = 1109999999..._<164841> = [1109999999..._<164841>] (0.00%)

Φ_272020L(10) = 2826886473..._<44353> = [2826886473..._<44353>] (0.00%)

Φ_272020M(10) = 3572835377..._<44352> = 20401501 × [1751261035..._<44345>] (0.02%)

Φ₂₇₂₀₂₁(10) = 9000000000..._<260172> = (9000000000..._<260172>) (0.00%)

Φ₂₇₂₀₂₂(10) = 1098901098..._<90673> = [1098901098..._<90673>] (0.00%)

Φ₂₇₂₀₂₃(10) = 1111111111..._<253369> = 1088093 × (1021154543..._<253363>) (0.00%)

Φ₂₇₂₀₂₄(10) = 1000099999..._<132193> = 153569979224777_<15> × [6512340530..._<132178>] (0.01%)

Φ₂₇₂₀₂₅(10) = 9999999999..._<129600> = [9999999999..._<129600>] (0.00%)

Φ₂₇₂₀₂₆(10) = 9090909090..._<136012> = 8432807 × [1078040691..._<136006>] (0.01%)

Φ₂₇₂₀₂₇(10) = 9000000900..._<233160> = (9000000900..._<233160>) (0.00%)

Φ₂₇₂₀₂₈(10) = 1009998990..._<90673> = 272029 × [3712835727..._<90667>] (0.01%)

Φ₂₇₂₀₂₉(10) = 1111111111..._<272029> = 295308697763_<12> × (3762541095..._<272017>) (0.00%)

Φ₂₇₂₀₃₀(10) = 9091000000..._<98880> = 2571032786521_<13> × [3535933126..._<98868>] (0.01%)

Φ₂₇₂₀₃₁(10) = 9009009009..._<181352> = [9009009009..._<181352>] (0.00%)

Φ₂₇₂₀₃₂(10) = 9999999999..._<136000> = 1909664641_<10> × [5236521525..._<135991>] (0.01%)

Φ₂₇₂₀₃₃(10) = 9000000000..._<270468> = 734443942523_<12> × (1225416873..._<270457>) (0.00%)

Φ₂₇₂₀₃₄(10) = 1000999998..._<72577> = 6038882767_<10> × 22410977023_<11> × [7396336953..._<72556>] (0.03%)

Φ₂₇₂₀₃₅(10) = 1111099999..._<212161> = 722524961 × 5144725921_<10> × 1390695150721_<13> × (2149344888..._<212130>) (0.01%)

Φ₂₇₂₀₃₆(10) = 1009999999..._<133033> = [1009999999..._<133033>] (0.00%)

Φ₂₇₂₀₃₇(10) = 9009009009..._<181356> = [9009009009..._<181356>] (0.00%)

Φ₂₇₂₀₃₈(10) = 1099999999..._<125545> = 490395013499_<12> × 5883282854411_<13> × [3812649753..._<125520>] (0.02%)

Φ₂₇₂₀₃₉(10) = 1111111111..._<272039> = (1111111111..._<272039>) (0.00%)

Φ₂₇₂₀₄₀(10) = 9999000100..._<72512> = [9999000100..._<72512>] (0.00%)

Φ₂₇₂₀₄₁(10) = 1111110999..._<211921> = 20675117 × (5374146129..._<211913>) (0.00%)

Φ₂₇₂₀₄₂(10) = 1099999999..._<128845> = 2448379 × 16322521 × 13354269739_<11> × [2061136048..._<128821>] (0.02%)

Φ₂₇₂₀₄₃(10) = 1001000999..._<179281> = [1001000999..._<179281>] (0.00%)

Φ₂₇₂₀₄₄(10) = 1009999999..._<130065> = 6801101 × 31285061 × [4746846010..._<130050>] (0.01%)

Φ₂₇₂₀₄₅(10) = 9000090000..._<217632> = (9000090000..._<217632>) (0.00%)

Φ₂₇₂₀₄₆(10) = 1098901098..._<90681> = [1098901098..._<90681>] (0.00%)

Φ₂₇₂₀₄₇(10) = 9000000000..._<270216> = 7157120750707_<13> × (1257488913..._<270204>) (0.00%)

Φ₂₇₂₀₄₈(10) = 1000000000..._<116257> = 13058659566737_<14> × [7657753806..._<116243>] (0.01%)

Φ₂₇₂₀₄₉(10) = 9009009009..._<168896> = [9009009009..._<168896>] (0.00%)

Φ₂₇₂₀₅₀(10) = 1000009999..._<108801> = 39447251 × 3721379567401_<13> × 9008895486601_<13> × [7561571830..._<108767>] (0.03%)

Φ₂₇₂₀₅₁(10) = 1111111111..._<236161> = 1632307 × (6806998383..._<236154>) (0.00%)

Φ₂₇₂₀₅₂(10) = 9999999999..._<82080> = 1426912741_<10> × [7008137016..._<82071>] (0.01%)

Φ₂₇₂₀₅₃(10) = 1111111111..._<272053> = 48059186457493_<14> × 696341486872476043_<18> × (3320158411..._<272021>) (0.01%)

Φ₂₇₂₀₅₄(10) = 9090909090..._<136026> = 3264649 × [2784651302..._<136020>] (0.00%)

Φ₂₇₂₀₅₅(10) = 9009100000..._<124320> = 15779191 × [5709481557..._<124313>] (0.01%)

Φ₂₇₂₀₅₆(10) = 1000099999..._<131521> = [1000099999..._<131521>] (0.00%)

Φ₂₇₂₀₅₇(10) = 9000000000..._<270480> = (9000000000..._<270480>) (0.00%)

Φ₂₇₂₀₅₈(10) = 1098901098..._<90685> = 272059 × 254194399663_<12> × [1589020617..._<90668>] (0.02%)

Φ₂₇₂₀₅₉(10) = 1111111111..._<272059> = (1111111111..._<272059>) (0.00%)

Φ_272060L(10) = 3540999999..._<53280> = [3540999999..._<53280>] (0.00%)

Φ_272060M(10) = 2796100000..._<53281> = [2796100000..._<53281>] (0.00%)

Φ₂₇₂₀₆₁(10) = 9990000009..._<163296> = 544123 × [1835981939..._<163291>] (0.00%)

Φ₂₇₂₀₆₂(10) = 1099999890..._<116593> = [1099999890..._<116593>] (0.00%)

Φ₂₇₂₀₆₃(10) = 9000000000..._<247320> = (9000000000..._<247320>) (0.00%)

Φ₂₇₂₀₆₄(10) = 9999999999..._<82944> = [9999999999..._<82944>] (0.00%)

Φ₂₇₂₀₆₅(10) = 9000090000..._<217648> = 47339311 × 125989692829841_<15> × (1509002303..._<217627>) (0.01%)

Φ₂₇₂₀₆₆(10) = 9090909090..._<136032> = 544133 × 62031049 × 5518858811_<10> × [4880269892..._<136009>] (0.02%)

Φ₂₇₂₀₆₇(10) = 1109999999..._<173449> = [1109999999..._<173449>] (0.00%)

Φ₂₇₂₀₆₈(10) = 1009999999..._<128001> = 2326181401_<10> × 2967173609_<10> × 3429689209_<10> × [4266581738..._<127972>] (0.02%)

Φ₂₇₂₀₆₉(10) = 9000000900..._<233196> = 179484642459403_<15> × (5014357092..._<233182>) (0.01%)

Φ₂₇₂₀₇₀(10) = 9990010000..._<72528> = 43259131 × 5286739904011_<13> × [4368176593..._<72508>] (0.03%)

Φ₂₇₂₀₇₁(10) = 9000000000..._<268272> = 24731093378111_<14> × (3639143592..._<268259>) (0.00%)

Φ₂₇₂₀₇₂(10) = 1000099999..._<133841> = 816217 × 19317113 × 6531320437417_<13> × [9711684820..._<133814>] (0.02%)

Φ₂₇₂₀₇₃(10) = 1109999999..._<179169> = 1088293 × [1019945915..._<179163>] (0.00%)

Φ₂₇₂₀₇₄(10) = 9090909091..._<121360> = 11655051053053_<14> × [7799973633..._<121347>] (0.01%)

Φ₂₇₂₀₇₅(10) = 9999900000..._<217640> = 2246251201_<10> × 772732177167551_<15> × (5761138788..._<217616>) (0.01%)

Φ₂₇₂₀₇₆(10) = 1009998990..._<74881> = 2176609 × 33190551241_<11> × [1398060783..._<74864>] (0.02%)

Φ₂₇₂₀₇₇(10) = 9000000000..._<251136> = (9000000000..._<251136>) (0.00%)

Φ₂₇₂₀₇₈(10) = 1099999999..._<131321> = [1099999999..._<131321>] (0.00%)

Φ₂₇₂₀₇₉(10) = 9999999999..._<181332> = 32105323 × [3114748292..._<181325>] (0.00%)

Φ₂₇₂₀₈₀(10) = 9999999900..._<102528> = 524026081 × [1908301945..._<102520>] (0.01%)

Φ₂₇₂₀₈₁(10) = 9000000000..._<270192> = (9000000000..._<270192>) (0.00%)

Φ₂₇₂₀₈₂(10) = 9100000000..._<89760> = [9100000000..._<89760>] (0.00%)

Φ₂₇₂₀₈₃(10) = 1111110999..._<227977> = (1111110999..._<227977>) (0.00%)

Φ₂₇₂₀₈₄(10) = 1009999999..._<135001> = 15312887521_<11> × [6595751445..._<134990>] (0.01%)

Φ₂₇₂₀₈₅(10) = 1109988899..._<122881> = 3318701282161_<13> × 3984013863391_<13> × 110972644149511_<15> × [7565083006..._<122841>] (0.03%)

Φ₂₇₂₀₈₆(10) = 9090909090..._<136042> = 15508903 × [5861735733..._<136035>] (0.01%)

Φ₂₇₂₀₈₇(10) = 1111111111..._<257401> = (1111111111..._<257401>) (0.00%)

Φ₂₇₂₀₈₈(10) = 1000000000..._<90673> = 2720881 × [3675280175..._<90666>] (0.01%)

Φ₂₇₂₀₈₉(10) = 9000000000..._<270720> = 174136961 × 3913183999_<10> × (1320752007..._<270703>) (0.01%)

Φ₂₇₂₀₉₀(10) = 1000000000..._<82369> = [1000000000..._<82369>] (0.00%)

Φ₂₇₂₀₉₁(10) = 9009009009..._<181392> = [9009009009..._<181392>] (0.00%)

Φ₂₇₂₀₉₂(10) = 9900990099..._<136044> = 92511281 × 3569847041_<10> × [2998018603..._<136027>] (0.01%)

Φ₂₇₂₀₉₃(10) = 1111111111..._<272093> = 44623253 × 295492999 × 4835636797_<10> × (1742590709..._<272067>) (0.01%)

Φ₂₇₂₀₉₄(10) = 9100000000..._<89600> = 929625476641_<12> × [9788888351..._<89588>] (0.01%)

Φ₂₇₂₀₉₅(10) = 9000090000..._<217672> = 177334106921_<12> × (5075216582..._<217661>) (0.01%)

Φ₂₇₂₀₉₆(10) = 1000000000..._<123521> = 22039777 × 3325285217_<10> × [1364469720..._<123504>] (0.01%)

Φ₂₇₂₀₉₇(10) = 1000000000..._<155233> = 184565143595323_<15> × [5418141153..._<155218>] (0.01%)

Φ₂₇₂₀₉₈(10) = 1099999999..._<132337> = 10373736251_<11> × [1060370124..._<132327>] (0.01%)

Φ₂₇₂₀₉₉(10) = 9000000000..._<257760> = 544199 × (1653806787..._<257755>) (0.00%)

Φ_272100L(10) = 9900498997..._<36240> = 19863301 × 13538975370938756701_<20> × 1232555794415584503901_<22> × [2986849048..._<36193>] (0.13%)

Φ_272100M(10) = 1010050099..._<36241> = 170641256701_<12> × 397861549259208662423101_<24> × [1487739540..._<36206>] (0.10%)

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