Factorization of cyclotomic number Phi

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Φ₂₁₆₅₀₁(10) = 9009009009..._<144332> = 31754201671_<11> × [2837107700..._<144322>] (0.01%)

Φ₂₁₆₅₀₂(10) = 9090909091..._<90720> = [9090909091..._<90720>] (0.00%)

Φ₂₁₆₅₀₃(10) = 1111110999..._<183457> = [1111110999..._<183457>] (0.00%)

Φ₂₁₆₅₀₄(10) = 9999999999..._<69120> = 6495121 × 1491496057_<10> × 58359086209_<11> × [1768813976..._<69094>] (0.04%)

Φ₂₁₆₅₀₅(10) = 9000090000..._<157248> = [9000090000..._<157248>] (0.00%)

Φ₂₁₆₅₀₆(10) = 1099999999..._<107101> = 1082531 × 29300816343859_<14> × [3467948368..._<107081>] (0.02%)

Φ₂₁₆₅₀₇(10) = 9009009009..._<144336> = [9009009009..._<144336>] (0.00%)

Φ₂₁₆₅₀₈(10) = 1009999999..._<107073> = 216509 × 4212163141_<10> × [1107491077..._<107058>] (0.01%)

Φ₂₁₆₅₀₉(10) = 1111111111..._<216509> = 96129997 × 428493037678151_<15> × [2697458625..._<216486>] (0.01%)

Φ₂₁₆₅₁₀(10) = 1098890000..._<49441> = 6711811 × 569424547651_<12> × 564871875614131_<15> × [5090124033..._<49407>] (0.07%)

Φ₂₁₆₅₁₁(10) = 9000000000..._<215512> = 127653103281449_<15> × [7050357389..._<215498>] (0.01%)

Φ₂₁₆₅₁₂(10) = 1000000000..._<101377> = 17537473 × [5702075777..._<101369>] (0.01%)

Φ₂₁₆₅₁₃(10) = 9999999999..._<131220> = 866053 × [1154663744..._<131215>] (0.00%)

Φ₂₁₆₅₁₄(10) = 1099999999..._<104497> = 24106452247_<11> × [4563093684..._<104486>] (0.01%)

Φ₂₁₆₅₁₅(10) = 1111099999..._<159841> = 9093631 × [1221844167..._<159834>] (0.00%)

Φ₂₁₆₅₁₆(10) = 1009998990..._<72169> = 1082581 × 12557929 × [7429207961..._<72155>] (0.02%)

Φ₂₁₆₅₁₇(10) = 9000000900..._<185580> = 14428692881_<11> × [6237571881..._<185570>] (0.01%)

Φ₂₁₆₅₁₈(10) = 1099999999..._<106705> = [1099999999..._<106705>] (0.00%)

Φ₂₁₆₅₁₉(10) = 9009009009..._<144344> = 1061179105711_<13> × [8489621554..._<144332>] (0.01%)

Φ₂₁₆₅₂₀(10) = 1000099999..._<86593> = [1000099999..._<86593>] (0.00%)

Φ₂₁₆₅₂₁(10) = 9000000000..._<211200> = 32478151 × [2771093711..._<211193>] (0.00%)

Φ₂₁₆₅₂₂(10) = 9990010000..._<68904> = 1453079143_<10> × [6875062551..._<68895>] (0.01%)

Φ₂₁₆₅₂₃(10) = 1111111111..._<216523> = 8660921 × 8219213081_<10> × [1560857206..._<216506>] (0.01%)

Φ₂₁₆₅₂₄(10) = 1009999999..._<77761> = 433049 × [2332299578..._<77755>] (0.01%)

Φ₂₁₆₅₂₅(10) = 1000010000..._<115441> = [1000010000..._<115441>] (0.00%)

Φ₂₁₆₅₂₆(10) = 9090909090..._<108262> = [9090909090..._<108262>] (0.00%)

Φ₂₁₆₅₂₇(10) = 9000000000..._<215496> = 2903627071_<10> × [3099571597..._<215487>] (0.00%)

Φ₂₁₆₅₂₈(10) = 9999999900..._<66432> = 138693979009_<12> × [7210118255..._<66421>] (0.02%)

Φ₂₁₆₅₂₉(10) = 1111111111..._<198721> = 469893913481_<12> × [2364599921..._<198709>] (0.01%)

Φ₂₁₆₅₃₀(10) = 9091000000..._<84912> = [9091000000..._<84912>] (0.00%)

Φ₂₁₆₅₃₁(10) = 1000000000..._<123481> = 29881279 × 15966659450827_<14> × [2095978169..._<123460>] (0.02%)

Φ₂₁₆₅₃₂(10) = 9900990099..._<108264> = 48719701 × [2032235398..._<108257>] (0.01%)

Φ₂₁₆₅₃₃(10) = 9000000000..._<215340> = 55443707717_<11> × 10349871617159_<14> × [1568394394..._<215317>] (0.01%)

Φ₂₁₆₅₃₄(10) = 9100000000..._<71400> = 72322357 × 1236842209_<10> × [1017312833..._<71384>] (0.02%)

Φ₂₁₆₅₃₅(10) = 9000090000..._<151200> = [9000090000..._<151200>] (0.00%)

Φ₂₁₆₅₃₆(10) = 9999000099..._<108264> = [9999000099..._<108264>] (0.00%)

Φ₂₁₆₅₃₇(10) = 1109999999..._<142561> = 84524351803_<11> × 227124735553159_<15> × [5781981465..._<142535>] (0.02%)

Φ₂₁₆₅₃₈(10) = 1099999890..._<92797> = [1099999890..._<92797>] (0.00%)

Φ₂₁₆₅₃₉(10) = 9000000000..._<213720> = 433079 × 1169310601_<10> × 94844515079_<11> × [1873843327..._<213695>] (0.01%)

Φ_216540L(10) = 9999000049..._<28800> = 164247971941_<12> × [6087746431..._<28789>] (0.04%)

Φ_216540M(10) = 1000100005..._<28801> = 24579404946181_<14> × [4068853608..._<28787>] (0.05%)

Φ₂₁₆₅₄₁(10) = 9000000000..._<199872> = [9000000000..._<199872>] (0.00%)

Φ₂₁₆₅₄₂(10) = 9090909090..._<108270> = [9090909090..._<108270>] (0.00%)

Φ₂₁₆₅₄₃(10) = 9009009009..._<131040> = [9009009009..._<131040>] (0.00%)

Φ₂₁₆₅₄₄(10) = 1000000000..._<105601> = [1000000000..._<105601>] (0.00%)

Φ₂₁₆₅₄₅(10) = 9000090900..._<141504> = 2686890361_<10> × [3349630871..._<141495>] (0.01%)

Φ₂₁₆₅₄₆(10) = 1098901098..._<61441> = 433093 × 11019577906327_<14> × [2302568100..._<61422>] (0.03%)

Φ₂₁₆₅₄₇(10) = 9000000000..._<213856> = 398705037119_<12> × [2257307824..._<213845>] (0.01%)

Φ₂₁₆₅₄₈(10) = 1009999999..._<105673> = 66758500181_<11> × [1512915954..._<105662>] (0.01%)

Φ₂₁₆₅₄₉(10) = 9990000009..._<144360> = [9990000009..._<144360>] (0.00%)

Φ₂₁₆₅₅₀(10) = 9999900000..._<84000> = [9999900000..._<84000>] (0.00%)

Φ₂₁₆₅₅₁(10) = 1111111111..._<216551> = 1788278159_<10> × [6213301356..._<216541>] (0.00%)

Φ₂₁₆₅₅₂(10) = 9999000100..._<61824> = 216553 × 649657 × 50456617 × 121918777 × [1155365831..._<61798>] (0.04%)

Φ₂₁₆₅₅₃(10) = 1111111111..._<216553> = 866213 × 1056821536320251609_<19> × [1213755297..._<216529>] (0.01%)

Φ₂₁₆₅₅₄(10) = 1099999999..._<99937> = 151233312362809_<15> × [7273529772..._<99922>] (0.01%)

Φ₂₁₆₅₅₅(10) = 1109988900..._<115489> = 2165551 × 9095311 × 161740598401_<12> × [3484284592..._<115464>] (0.02%)

Φ₂₁₆₅₅₆(10) = 9900990099..._<108276> = 5278552501_<10> × [1875701737..._<108267>] (0.01%)

Φ₂₁₆₅₅₇(10) = 9000000000..._<196860> = 82670634751_<11> × 162249950375437_<15> × [6709755030..._<196835>] (0.01%)

Φ₂₁₆₅₅₈(10) = 9990010000..._<70512> = 433117 × 1949023 × 110744762737933_<15> × [1068613192..._<70487>] (0.04%)

Φ₂₁₆₅₅₉(10) = 9000000900..._<185616> = [9000000900..._<185616>] (0.00%)

Φ₂₁₆₅₆₀(10) = 1000000009..._<86593> = [1000000009..._<86593>] (0.00%)

Φ₂₁₆₅₆₁(10) = 1109999999..._<140401> = 433123 × 3779922827911_<13> × [6779986029..._<140382>] (0.01%)

Φ₂₁₆₅₆₂(10) = 9090909090..._<99360> = [9090909090..._<99360>] (0.00%)

Φ₂₁₆₅₆₃(10) = 9000000000..._<203808> = [9000000000..._<203808>] (0.00%)

Φ₂₁₆₅₆₄(10) = 1009998990..._<72185> = [1009998990..._<72185>] (0.00%)

Φ₂₁₆₅₆₅(10) = 9000090000..._<173248> = 615563922871_<12> × 4582204845791_<13> × [3190797135..._<173224>] (0.01%)

Φ₂₁₆₅₆₆(10) = 9090910000..._<89640> = 7319281103_<10> × [1242049577..._<89631>] (0.01%)

Φ₂₁₆₅₆₇(10) = 1000000001..._<133057> = 42447133 × 19646958241_<11> × [1199102521..._<133039>] (0.01%)

Φ₂₁₆₅₆₈(10) = 9999000099..._<93280> = 59042171304073_<14> × [1693535295..._<93267>] (0.01%)

Φ₂₁₆₅₆₉(10) = 1111111111..._<216569> = 359937679 × 8639628265111_<13> × 28488204816450791_<17> × [1254209364..._<216531>] (0.02%)

Φ₂₁₆₅₇₀(10) = 9100090999..._<57744> = 216571 × 199460971 × [2106626313..._<57731>] (0.02%)

Φ₂₁₆₅₇₁(10) = 1111111111..._<216571> = 134748095218427_<15> × [8245839091..._<216556>] (0.01%)

Φ₂₁₆₅₇₂(10) = 1009999999..._<104497> = 14943469 × 389262181361_<12> × [1736311872..._<104478>] (0.02%)

Φ₂₁₆₅₇₃(10) = 1109999889..._<123745> = 866293 × 1299439 × [9860574828..._<123732>] (0.01%)

Φ₂₁₆₅₇₄(10) = 9090909090..._<108286> = [9090909090..._<108286>] (0.00%)

Φ₂₁₆₅₇₅(10) = 9999900000..._<173240> = 433151 × [2308640635..._<173235>] (0.00%)

Φ₂₁₆₅₇₆(10) = 1000000000..._<70657> = 216577 × [4617295465..._<70651>] (0.01%)

Φ₂₁₆₅₇₇(10) = 1111111111..._<216577> = 379948394719_<12> × 3644916840667_<13> × 8769145986827_<13> × [9149301771..._<216539>] (0.02%)

Φ₂₁₆₅₇₈(10) = 9090909090..._<108288> = [9090909090..._<108288>] (0.00%)

Φ₂₁₆₅₇₉(10) = 1109999999..._<131241> = [1109999999..._<131241>] (0.00%)

Φ_216580L(10) = 1001000500..._<32257> = [1001000500..._<32257>] (0.00%)

Φ_216580M(10) = 9990004998..._<32256> = 4001748661_<10> × 4291532701_<10> × [5817059031..._<32237>] (0.06%)

Φ₂₁₆₅₈₁(10) = 9000000000..._<205164> = [9000000000..._<205164>] (0.00%)

Φ₂₁₆₅₈₂(10) = 1098901098..._<72193> = 70810185409_<11> × [1551896937..._<72182>] (0.02%)

Φ₂₁₆₅₈₃(10) = 9000000000..._<214488> = [9000000000..._<214488>] (0.00%)

Φ₂₁₆₅₈₄(10) = 9999000099..._<108288> = 1949257 × [5129646885..._<108282>] (0.01%)

Φ₂₁₆₅₈₅(10) = 1001000999..._<115489> = 161154400951_<12> × [6211440668..._<115477>] (0.01%)

Φ₂₁₆₅₈₆(10) = 9090909090..._<108292> = 2590683715588117_<16> × [3509077173..._<108277>] (0.01%)

Φ₂₁₆₅₈₇(10) = 9000000900..._<185640> = 2013120718729_<13> × [4470671240..._<185628>] (0.01%)

Φ₂₁₆₅₈₈(10) = 1009998990..._<72193> = [1009998990..._<72193>] (0.00%)

Φ₂₁₆₅₈₉(10) = 9000000000..._<212860> = 155944081 × [5771299521..._<212852>] (0.00%)

Φ₂₁₆₅₉₀(10) = 9999999999..._<78320> = 649771 × [1539003741..._<78315>] (0.01%)

Φ₂₁₆₅₉₁(10) = 9009009009..._<133056> = 11619673969_<11> × [7753237339..._<133046>] (0.01%)

Φ₂₁₆₅₉₂(10) = 9999999900..._<108288> = 649777 × [1538989514..._<108283>] (0.01%)

Φ₂₁₆₅₉₃(10) = 9000000000..._<199920> = 433187 × 2599117 × 11601587453_<11> × [6890073370..._<199898>] (0.01%)

Φ₂₁₆₅₉₄(10) = 9999999999..._<61560> = [9999999999..._<61560>] (0.00%)

Φ₂₁₆₅₉₅(10) = 9000090000..._<173272> = [9000090000..._<173272>] (0.00%)

Φ₂₁₆₅₉₆(10) = 1009999999..._<107329> = [1009999999..._<107329>] (0.00%)

Φ₂₁₆₅₉₇(10) = 9009009009..._<130560> = 112714912831_<12> × [7992739188..._<130549>] (0.01%)

Φ₂₁₆₅₉₈(10) = 1099999999..._<105337> = [1099999999..._<105337>] (0.00%)

Φ₂₁₆₅₉₉(10) = 9000000000..._<215136> = 1496265893_<10> × 6526994267_<10> × [9215533915..._<215117>] (0.01%)

Φ₂₁₆₆₀₀(10) = 9999999999..._<54720> = 1299601 × 12996001 × 258187201 × 71886507601_<11> × [3190054718..._<54688>] (0.06%)

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