Factorization of cyclotomic number Phi

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Φ₂₀₇₈₀₁(10) = 1001000999..._<125881> = 415603 × [2408550948..._<125875>] (0.00%)

Φ₂₀₇₈₀₂(10) = 1099999890..._<89053> = [1099999890..._<89053>] (0.00%)

Φ₂₀₇₈₀₃(10) = 9000000000..._<196848> = 44054237 × [2042936301..._<196841>] (0.00%)

Φ₂₀₇₈₀₄(10) = 1009998990..._<69265> = 415609 × [2430166310..._<69259>] (0.01%)

Φ₂₀₇₈₀₅(10) = 9000090000..._<145728> = 1196541191_<10> × [7521755263..._<145719>] (0.01%)

Φ₂₀₇₈₀₆(10) = 9090909090..._<103902> = [9090909090..._<103902>] (0.00%)

Φ₂₀₇₈₀₇(10) = 1109999999..._<137089> = 248537173 × 224740361203_<12> × [1987241051..._<137069>] (0.01%)

Φ₂₀₇₈₀₈(10) = 1000000000..._<97281> = [1000000000..._<97281>] (0.00%)

Φ₂₀₇₈₀₉(10) = 9999999000..._<178080> = [9999999000..._<178080>] (0.00%)

Φ₂₀₇₈₁₀(10) = 9990010000..._<55392> = 207811 × 13866745681_<11> × [3466752521..._<55377>] (0.03%)

Φ₂₀₇₈₁₁(10) = 1111111111..._<207811> = 275997564610249_<15> × [4025800418..._<207796>] (0.01%)

Φ₂₀₇₈₁₂(10) = 1009999999..._<94441> = 120897161111101_<15> × [8354207747..._<94426>] (0.01%)

Φ₂₀₇₈₁₃(10) = 1109999999..._<135825> = 415627 × 131753443 × [2027016356..._<135811>] (0.01%)

Φ₂₀₇₈₁₄(10) = 1099999999..._<100297> = 18927699121_<11> × [5811588576..._<100286>] (0.01%)

Φ₂₀₇₈₁₅(10) = 1111099999..._<164033> = 415631 × [2673284716..._<164027>] (0.00%)

Φ₂₀₇₈₁₆(10) = 9999000100..._<59328> = 16060228297_<11> × [6225938956..._<59318>] (0.02%)

Φ₂₀₇₈₁₇(10) = 9000000000..._<204820> = 63544785146333_<14> × [1416323932..._<204807>] (0.01%)

Φ₂₀₇₈₁₈(10) = 1099999999..._<95905> = [1099999999..._<95905>] (0.00%)

Φ₂₀₇₈₁₉(10) = 1000000001..._<134569> = 2078191 × 17041159 × [2823679573..._<134555>] (0.01%)

Φ_207820L(10) = 2824060999..._<41561> = 3325121 × 5611141 × [1513615050..._<41548>] (0.03%)

Φ_207820M(10) = 3576409999..._<41560> = 207821 × 11430101 × [1505593746..._<41548>] (0.03%)

Φ₂₀₇₈₂₁(10) = 1111111111..._<207821> = 415643 × 2130240065561_<13> × [1254898127..._<207803>] (0.01%)

Φ₂₀₇₈₂₂(10) = 9100000000..._<65592> = 942445847699011_<15> × [9655727193..._<65577>] (0.02%)

Φ₂₀₇₈₂₃(10) = 1111110999..._<161881> = 2493877 × 4572107 × 45102074157757_<14> × [2160575847..._<161854>] (0.02%)

Φ₂₀₇₈₂₄(10) = 1000000009..._<100321> = [1000000009..._<100321>] (0.00%)

Φ₂₀₇₈₂₅(10) = 9999900000..._<103680> = [9999900000..._<103680>] (0.00%)

Φ₂₀₇₈₂₆(10) = 9090909090..._<103912> = [9090909090..._<103912>] (0.00%)

Φ₂₀₇₈₂₇(10) = 9000000000..._<204360> = 1246963 × 48631519 × 12377760467_<11> × 128784988399_<12> × [9310302462..._<204325>] (0.02%)

Φ₂₀₇₈₂₈(10) = 9999990000..._<66000> = 23068909 × 559265149 × [7750946746..._<65984>] (0.02%)

Φ₂₀₇₈₂₉(10) = 1111111111..._<195841> = 123450427 × [9000463895..._<195832>] (0.00%)

Φ₂₀₇₈₃₀(10) = 9091000909..._<71232> = [9091000909..._<71232>] (0.00%)

Φ₂₀₇₈₃₁(10) = 1000000000..._<126145> = [1000000000..._<126145>] (0.00%)

Φ₂₀₇₈₃₂(10) = 1000099999..._<102337> = 207833 × 50202650929_<11> × [9585224082..._<102320>] (0.02%)

Φ₂₀₇₈₃₃(10) = 1111111111..._<207833> = [1111111111..._<207833>] (0.00%)

Φ₂₀₇₈₃₄(10) = 1098901098..._<60721> = 7689859 × 269560699 × 4683260692441_<13> × [1131971059..._<60693>] (0.05%)

Φ₂₀₇₈₃₅(10) = 1111099999..._<164641> = [1111099999..._<164641>] (0.00%)

Φ₂₀₇₈₃₆(10) = 1009999999..._<103009> = [1009999999..._<103009>] (0.00%)

Φ₂₀₇₈₃₇(10) = 1001000999..._<118729> = [1001000999..._<118729>] (0.00%)

Φ₂₀₇₈₃₈(10) = 9090909090..._<103918> = [9090909090..._<103918>] (0.00%)

Φ₂₀₇₈₃₉(10) = 9000000000..._<206856> = 24940681 × 12219778446517_<14> × [2953050473..._<206836>] (0.01%)

Φ₂₀₇₈₄₀(10) = 9999999999..._<55296> = 15380161 × [6501882522..._<55289>] (0.01%)

Φ₂₀₇₈₄₁(10) = 9000000000..._<196884> = 36625075928801_<14> × [2457332789..._<196871>] (0.01%)

Φ₂₀₇₈₄₂(10) = 1099999999..._<97793> = 8249146098211_<13> × [1333471351..._<97780>] (0.01%)

Φ₂₀₇₈₄₃(10) = 1109999999..._<133729> = [1109999999..._<133729>] (0.00%)

Φ₂₀₇₈₄₄(10) = 9900990099..._<82080> = 21823621 × 3488661541_<10> × [1300447960..._<82064>] (0.02%)

Φ₂₀₇₈₄₅(10) = 1111099999..._<151121> = [1111099999..._<151121>] (0.00%)

Φ₂₀₇₈₄₆(10) = 1000000000..._<69229> = 762379129 × 317293962373_<12> × [4133968787..._<69208>] (0.03%)

Φ₂₀₇₈₄₇(10) = 1111111111..._<207847> = 24525947 × 98691575317_<11> × [4590411552..._<207828>] (0.01%)

Φ₂₀₇₈₄₈(10) = 9999000099..._<103920> = 1770657113_<10> × 184235843657_<12> × [3065123493..._<103900>] (0.02%)

Φ₂₀₇₈₄₉(10) = 1109999999..._<136657> = 235932309787_<12> × [4704739257..._<136645>] (0.01%)

Φ₂₀₇₈₅₀(10) = 1000009999..._<83121> = 2494201 × [4009340065..._<83114>] (0.01%)

Φ₂₀₇₈₅₁(10) = 1111110999..._<170281> = 1247107 × 52378453 × [1700987267..._<170267>] (0.01%)

Φ₂₀₇₈₅₂(10) = 1009998990..._<69281> = [1009998990..._<69281>] (0.00%)

Φ₂₀₇₈₅₃(10) = 9000000000..._<206908> = 1247119 × [7216632895..._<206902>] (0.00%)

Φ₂₀₇₈₅₄(10) = 1099999999..._<102817> = 18045884281_<11> × [6095572723..._<102806>] (0.01%)

Φ₂₀₇₈₅₅(10) = 9990000009..._<106560> = [9990000009..._<106560>] (0.00%)

Φ₂₀₇₈₅₆(10) = 1000000009..._<94401> = 1454993 × 225939473 × [3041914401..._<94386>] (0.02%)

Φ₂₀₇₈₅₇(10) = 1111111111..._<187921> = 1995427201_<10> × 5240906399_<10> × [1062466386..._<187902>] (0.01%)

Φ₂₀₇₈₅₈(10) = 9999999999..._<58800> = 1289758891_<10> × [7753387140..._<58791>] (0.02%)

Φ₂₀₇₈₅₉(10) = 9000000000..._<195616> = 21075239729_<11> × [4270414057..._<195606>] (0.01%)

Φ_207860L(10) = 2796100002..._<39313> = 667602669401_<12> × [4188269656..._<39301>] (0.03%)

Φ_207860M(10) = 3540999996..._<39312> = 190815481 × 805665361 × [2303337763..._<39295>] (0.04%)

Φ₂₀₇₈₆₁(10) = 1109999999..._<137473> = 2494333 × [4450087458..._<137466>] (0.00%)

Φ₂₀₇₈₆₂(10) = 1099999999..._<101473> = 187907249 × 23247493943_<11> × 82284043459_<11> × [3060253354..._<101443>] (0.03%)

Φ₂₀₇₈₆₃(10) = 9000000000..._<205848> = 2494357 × [3608144303..._<205842>] (0.00%)

Φ₂₀₇₈₆₄(10) = 1000000000..._<69265> = 415729 × [2405413141..._<69259>] (0.01%)

Φ₂₀₇₈₆₅(10) = 1111099888..._<142513> = [1111099888..._<142513>] (0.00%)

Φ₂₀₇₈₆₆(10) = 1000000000..._<99217> = [1000000000..._<99217>] (0.00%)

Φ₂₀₇₈₆₇(10) = 1109999999..._<125961> = 3735477249373_<13> × [2971507857..._<125948>] (0.01%)

Φ₂₀₇₈₆₈(10) = 1009999999..._<102961> = 207869 × 5196701 × 196643129 × 104368444121_<12> × 3034654746469_<13> × 3041498800369_<13> × [4935816369..._<102904>] (0.05%)

Φ₂₀₇₈₆₉(10) = 1111111111..._<207869> = 572471227 × 81834606058245883_<17> × [2371738650..._<207843>] (0.01%)

Φ₂₀₇₈₇₀(10) = 1000000000..._<49921> = 190408921 × [5251854769..._<49912>] (0.02%)

Φ₂₀₇₈₇₁(10) = 9000000000..._<205632> = 38100259849_<11> × [2362188613..._<205622>] (0.01%)

Φ₂₀₇₈₇₂(10) = 1000000000..._<86017> = 1052663809_<10> × 5652491385857_<13> × 30091904726017_<14> × [5584968406..._<85981>] (0.04%)

Φ₂₀₇₈₇₃(10) = 9999999990..._<138564> = 5663292013_<10> × [1765757437..._<138555>] (0.01%)

Φ₂₀₇₈₇₄(10) = 1099999999..._<99397> = 33883463 × 62985823 × [5154209730..._<99381>] (0.02%)

Φ₂₀₇₈₇₅(10) = 9999999999..._<166200> = [9999999999..._<166200>] (0.00%)

Φ₂₀₇₈₇₆(10) = 9901000000..._<65152> = [9901000000..._<65152>] (0.00%)

Φ₂₀₇₈₇₇(10) = 1111111111..._<207877> = [1111111111..._<207877>] (0.00%)

Φ₂₀₇₈₇₈(10) = 1000000000..._<94381> = 2286659 × [4373192504..._<94374>] (0.01%)

Φ₂₀₇₈₇₉(10) = 9009009909..._<112320> = [9009009909..._<112320>] (0.00%)

Φ₂₀₇₈₈₀(10) = 1000099999..._<83137> = [1000099999..._<83137>] (0.00%)

Φ₂₀₇₈₈₁(10) = 9000000000..._<203412> = 9978289 × 279680187067_<12> × [3224962951..._<203394>] (0.01%)

Φ₂₀₇₈₈₂(10) = 1000999998..._<69289> = 9354691 × [1070051377..._<69282>] (0.01%)

Φ₂₀₇₈₈₃(10) = 9000000000..._<191880> = 2666307359_<10> × 404596590680803_<15> × [8342766320..._<191856>] (0.01%)

Φ₂₀₇₈₈₄(10) = 9900990099..._<103940> = [9900990099..._<103940>] (0.00%)

Φ₂₀₇₈₈₅(10) = 1109988900..._<110865> = [1109988900..._<110865>] (0.00%)

Φ₂₀₇₈₈₆(10) = 9090910000..._<86040> = 1247317 × [7288371761..._<86034>] (0.01%)

Φ₂₀₇₈₈₇(10) = 9000000000..._<206976> = 119882836581961_<15> × [7507329870..._<206962>] (0.01%)

Φ₂₀₇₈₈₈(10) = 9999999900..._<67200> = 11156725297_<11> × [8963203479..._<67190>] (0.01%)

Φ₂₀₇₈₈₉(10) = 9000000000..._<188980> = [9000000000..._<188980>] (0.00%)

Φ₂₀₇₈₉₀(10) = 1099989000..._<83153> = [1099989000..._<83153>] (0.00%)

Φ₂₀₇₈₉₁(10) = 9990000009..._<138588> = [9990000009..._<138588>] (0.00%)

Φ₂₀₇₈₉₂(10) = 9900990099..._<103944> = [9900990099..._<103944>] (0.00%)

Φ₂₀₇₈₉₃(10) = 1111110999..._<167617> = 415787 × 9147293 × 188203869757_<12> × [1552263341..._<167593>] (0.01%)

Φ₂₀₇₈₉₄(10) = 1098901098..._<69297> = [1098901098..._<69297>] (0.00%)

Φ₂₀₇₈₉₅(10) = 9000090000..._<166312> = 87035170234121_<14> × [1034075072..._<166299>] (0.01%)

Φ₂₀₇₈₉₆(10) = 1000099999..._<95905> = 49271353 × [2029779860..._<95897>] (0.01%)

Φ₂₀₇₈₉₇(10) = 1000000000..._<131561> = [1000000000..._<131561>] (0.00%)

Φ₂₀₇₈₉₈(10) = 1099999999..._<98461> = [1099999999..._<98461>] (0.00%)

Φ₂₀₇₈₉₉(10) = 9000000000..._<206136> = 415799 × 2910170203_<10> × [7437734631..._<206121>] (0.01%)

Φ_207900L(10) = 1000000000..._<21601> = 8019443152070033468401_<22> × [1246969373..._<21579>] (0.10%)

Φ_207900M(10) = 9999999999..._<21600> = [9999999999..._<21600>] (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