Factorization of cyclotomic number Phi

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Φ₆₅₅₀₁(10) = 9000000000..._<61632> = 762562643 × 115028026887276443387_<21> × [1026037687..._<61604>] (0.05%)

Φ₆₅₅₀₂(10) = 1000000000..._<21817> = 393013 × 98966054773_<11> × 18663895754047_<14> × [1377540977..._<21787>] (0.14%)

Φ₆₅₅₀₃(10) = 9000000000..._<63360> = 1048049 × 791891954380327354406399_<24> × [1084413688..._<63331>] (0.05%)

Φ₆₅₅₀₄(10) = 1000000000..._<30977> = 116064113953_<12> × [8615927576..._<30965>] (0.04%)

Φ₆₅₅₀₅(10) = 9009099100..._<31680> = [9009099100..._<31680>] (0.00%)

Φ₆₅₅₀₆(10) = 1099999890..._<28069> = 530806123009_<12> × [2072319519..._<28057>] (0.04%)

Φ₆₅₅₀₇(10) = 9000000000..._<60456> = 5109547 × [1761408594..._<60450>] (0.01%)

Φ₆₅₅₀₈(10) = 9901000000..._<21216> = [9901000000..._<21216>] (0.00%)

Φ₆₅₅₀₉(10) = 9000000000..._<64800> = [9000000000..._<64800>] (0.00%)

Φ₆₅₅₁₀(10) = 1099989000..._<26201> = 67174472468937481_<17> × [1637510440..._<26184>] (0.06%)

Φ₆₅₅₁₁(10) = 1001000999..._<42001> = 655111 × 22142719 × 29489252563_<11> × 557655852908773_<15> × [4196223785..._<41962>] (0.09%)

Φ₆₅₅₁₂(10) = 1000099999..._<30961> = [1000099999..._<30961>] (0.00%)

Φ₆₅₅₁₃(10) = 9999999999..._<55860> = 125129831 × 244042214249_<12> × [3274720097..._<55841>] (0.03%)

Φ₆₅₅₁₄(10) = 9100000000..._<21360> = 196543 × 12120091 × [3820128140..._<21348>] (0.06%)

Φ₆₅₅₁₅(10) = 9000090000..._<52408> = [9000090000..._<52408>] (0.00%)

Φ₆₅₅₁₆(10) = 1009999999..._<29761> = 196549 × 327581 × [1568670866..._<29750>] (0.04%)

Φ₆₅₅₁₇(10) = 9009009009..._<43676> = 430013622631_<12> × 1718351368242961_<16> × [1219222122..._<43650>] (0.06%)

Φ₆₅₅₁₈(10) = 9090909090..._<29440> = [9090909090..._<29440>] (0.00%)

Φ₆₅₅₁₉(10) = 1111111111..._<65519> = 209661455191_<12> × 7217004335081_<13> × [7343142034..._<65494>] (0.04%)

Φ₆₅₅₂₀(10) = 1000000000..._<13825> = 1153907583847201_<16> × [8666205283..._<13809>] (0.11%)

Φ₆₅₅₂₁(10) = 1111111111..._<65521> = [1111111111..._<65521>] (0.00%)

Φ₆₅₅₂₂(10) = 9999999999..._<32580> = [9999999999..._<32580>] (0.00%)

Φ₆₅₅₂₃(10) = 9009009009..._<43680> = 10608304747_<11> × 4573218239555431_<16> × [1856988041..._<43655>] (0.06%)

Φ₆₅₅₂₄(10) = 9900990099..._<32760> = 655241 × 3127225682105022829_<19> × [4831904451..._<32736>] (0.07%)

Φ₆₅₅₂₅(10) = 9999900000..._<52400> = 1989863201_<10> × 571668406801_<12> × [8790796868..._<52379>] (0.04%)

Φ₆₅₅₂₆(10) = 9100000000..._<21384> = [9100000000..._<21384>] (0.00%)

Φ₆₅₅₂₇(10) = 9000000900..._<47520> = [9000000900..._<47520>] (0.00%)

Φ₆₅₅₂₈(10) = 9999000099..._<32760> = 19592873 × [5103386369..._<32753>] (0.02%)

Φ₆₅₅₂₉(10) = 9999999999..._<43632> = [9999999999..._<43632>] (0.00%)

Φ₆₅₅₃₀(10) = 1099989000..._<26209> = 262121 × [4196493223..._<26203>] (0.02%)

Φ₆₅₅₃₁(10) = 9000000000..._<62064> = [9000000000..._<62064>] (0.00%)

Φ₆₅₅₃₂(10) = 9901000000..._<21168> = 982981 × [1007242255..._<21163>] (0.03%)

Φ₆₅₅₃₃(10) = 9999999999..._<59640> = 262133 × 42096040013_<11> × 248084739319_<12> × 2443433382207665585887437289_<28> × [1494983866..._<59586>] (0.09%)

Φ₆₅₅₃₄(10) = 9090910000..._<27000> = 589807 × 5727356315927_<13> × 2532326346893939_<16> × [1062731514..._<26967>] (0.13%)

Φ₆₅₅₃₅(10) = 9009099100..._<32768> = 362408551 × 1475669072529151_<16> × [1684588969..._<32745>] (0.07%)

Φ₆₅₅₃₆(10) = 1000000000..._<32769> = 65537 × 5767169 × [2645761938..._<32757>] (0.04%)

Φ₆₅₅₃₇(10) = 1111111111..._<65537> = 2359333 × 5242961 × [8982384077..._<65523>] (0.02%)

Φ₆₅₅₃₈(10) = 9990010000..._<19800> = 65539 × 4146064957_<10> × [3676461398..._<19786>] (0.07%)

Φ₆₅₅₃₉(10) = 1111111111..._<65539> = 2752639 × 139204837 × 1735603799_<10> × [1670718623..._<65515>] (0.04%)

Φ_65540L(10) = 3540999999..._<12544> = 462494144787221_<15> × 50279271079639063000815652861_<29> × [1522757386..._<12501>] (0.35%)

Φ_65540M(10) = 2796100000..._<12545> = [2796100000..._<12545>] (0.00%)

Φ₆₅₅₄₁(10) = 1109999889..._<37441> = [1109999889..._<37441>] (0.00%)

Φ₆₅₅₄₂(10) = 9090909090..._<32770> = 65543 × [1387014492..._<32766>] (0.01%)

Φ₆₅₅₄₃(10) = 1111111111..._<65543> = 392078227 × 127632447300057521329_<21> × [2220361397..._<65514>] (0.04%)

Φ₆₅₅₄₄(10) = 1000099999..._<21841> = 1900777 × 92548129 × 432131593 × 33631867344553_<14> × [3911808768..._<21804>] (0.17%)

Φ₆₅₅₄₅(10) = 9000090000..._<52432> = [9000090000..._<52432>] (0.00%)

Φ₆₅₅₄₆(10) = 1099999999..._<30241> = 531451276408726346011_<21> × [2069804041..._<30220>] (0.07%)

Φ₆₅₅₄₇(10) = 9990000009..._<43692> = 655471 × [1524094889..._<43687>] (0.01%)

Φ₆₅₅₄₈(10) = 1009999999..._<28081> = [1009999999..._<28081>] (0.00%)

Φ₆₅₅₄₉(10) = 1111111111..._<58001> = [1111111111..._<58001>] (0.00%)

Φ₆₅₅₅₀(10) = 1000009999..._<15841> = 895937401 × [1116160569..._<15832>] (0.06%)

Φ₆₅₅₅₁(10) = 1111111111..._<65551> = 655511 × [1695030458..._<65545>] (0.01%)

Φ₆₅₅₅₂(10) = 1000000009..._<30721> = 160799057 × [6218942005..._<30712>] (0.03%)

Φ₆₅₅₅₃(10) = 9009009009..._<43700> = [9009009009..._<43700>] (0.00%)

Φ₆₅₅₅₄(10) = 1099999999..._<32257> = [1099999999..._<32257>] (0.00%)

Φ₆₅₅₅₅(10) = 1111099888..._<44929> = [1111099888..._<44929>] (0.00%)

Φ₆₅₅₅₆(10) = 1000000000..._<21817> = [1000000000..._<21817>] (0.00%)

Φ₆₅₅₅₇(10) = 1111111111..._<65557> = 238388065837_<12> × [4660934293..._<65545>] (0.02%)

Φ₆₅₅₅₈(10) = 9090909090..._<32778> = 71392663 × 238408943939_<12> × 80086676893016850627790579_<26> × [6669156604..._<32733>] (0.14%)

Φ₆₅₅₅₉(10) = 1000000000..._<39361> = 2491243 × [4014060450..._<39354>] (0.02%)

Φ₆₅₅₆₀(10) = 9999000099..._<23680> = 880208561 × 8923601191121_<13> × [1273007117..._<23659>] (0.09%)

Φ₆₅₅₆₁(10) = 9000000000..._<64272> = [9000000000..._<64272>] (0.00%)

Φ₆₅₅₆₂(10) = 9999999000..._<18648> = 393373 × 1311241 × [1938710169..._<18637>] (0.06%)

Φ₆₅₅₆₃(10) = 1111111111..._<65563> = 262253 × 2240819163679_<13> × 892481350761203132896489_<24> × [2118512670..._<65521>] (0.06%)

Φ₆₅₅₆₄(10) = 1009999999..._<31825> = 131129 × 76733483041_<11> × [1003778091..._<31809>] (0.05%)

Φ₆₅₅₆₅(10) = 9990000009..._<33120> = [9990000009..._<33120>] (0.00%)

Φ₆₅₅₆₆(10) = 9090909090..._<32782> = 983491 × 209548365379103_<15> × [4411158342..._<32762>] (0.06%)

Φ₆₅₅₆₇(10) = 9000000000..._<65016> = 286384849350311_<15> × [3142624346..._<65002>] (0.02%)

Φ₆₅₅₆₈(10) = 1000000000..._<21825> = 87276233048353_<14> × [1145787306..._<21811>] (0.06%)

Φ₆₅₅₆₉(10) = 9000000900..._<48384> = 2598499471_<10> × [3463537707..._<48375>] (0.02%)

Φ₆₅₅₇₀(10) = 9091000000..._<25584> = 327851 × 9245371 × 111527117379371_<15> × [2689244719..._<25558>] (0.10%)

Φ₆₅₅₇₁(10) = 1109999999..._<39721> = 3278551 × 1836774853_<10> × 28547383987_<11> × [6456821692..._<39694>] (0.07%)

Φ₆₅₅₇₂(10) = 1000000000..._<29953> = 41573631581_<11> × [2405370813..._<29942>] (0.04%)

Φ₆₅₅₇₃(10) = 9000000000..._<62700> = 485771997031_<12> × 2247585000403_<13> × [8243163398..._<62676>] (0.04%)

Φ₆₅₅₇₄(10) = 1000999998..._<21853> = [1000999998..._<21853>] (0.00%)

Φ₆₅₅₇₅(10) = 1000010000..._<50401> = 88788551 × 1903523654992123001_<19> × [5916830065..._<50374>] (0.05%)

Φ₆₅₅₇₆(10) = 1000099999..._<28081> = 721337 × 1180369 × 1372648701257_<13> × [8557127823..._<28056>] (0.09%)

Φ₆₅₅₇₇(10) = 9009009009..._<43716> = 5771242605143107_<16> × [1561017206..._<43701>] (0.04%)

Φ₆₅₅₇₈(10) = 9090909090..._<32788> = 65579 × 52767181840373933_<17> × 10426256588157555491_<20> × 126227594768721379321_<21> × [1996162575..._<32728>] (0.19%)

Φ₆₅₅₇₉(10) = 1111111111..._<65579> = 2250802439_<10> × 2310713051557_<13> × [2136358318..._<65557>] (0.03%)

Φ_65580L(10) = 3913542626..._<8736> = 667276501 × 1944468444661_<13> × [3016222240..._<8715>] (0.24%)

Φ_65580M(10) = 2529932837..._<8737> = 3592603561_<10> × [7042059593..._<8727>] (0.11%)

Φ₆₅₅₈₁(10) = 1111111111..._<65581> = 1523840117_<10> × [7291520276..._<65571>] (0.01%)

Φ₆₅₅₈₂(10) = 1000000000..._<29701> = 7819774635619_<13> × [1278809232..._<29688>] (0.04%)

Φ₆₅₅₈₃(10) = 1000000001..._<37369> = [1000000001..._<37369>] (0.00%)

Φ₆₅₅₈₄(10) = 9999999900..._<32784> = 2557777 × 788254097 × [4959878994..._<32769>] (0.05%)

Φ₆₅₅₈₅(10) = 1111099999..._<48385> = [1111099999..._<48385>] (0.00%)

Φ₆₅₅₈₆(10) = 9100000000..._<20544> = 4656607 × [1954212584..._<20538>] (0.03%)

Φ₆₅₅₈₇(10) = 1111111111..._<65587> = 67418582563_<11> × 81172045289_<11> × [2030352217..._<65565>] (0.03%)

Φ₆₅₅₈₈(10) = 1009999999..._<31033> = [1009999999..._<31033>] (0.00%)

Φ₆₅₅₈₉(10) = 9009009009..._<43724> = 15085471 × 65034248239_<11> × 190223092202443_<15> × 760697595584191_<15> × [6346009849..._<43677>] (0.11%)

Φ₆₅₅₉₀(10) = 9091000909..._<22464> = 46634491 × 442601321 × [4404450712..._<22448>] (0.07%)

Φ₆₅₅₉₁(10) = 9000000000..._<64872> = 1186278827_<10> × [7586749249..._<64863>] (0.01%)

Φ₆₅₅₉₂(10) = 1000000000..._<21841> = 3476377 × [2876557979..._<21834>] (0.03%)

Φ₆₅₅₉₃(10) = 1111111111..._<58081> = [1111111111..._<58081>] (0.00%)

Φ₆₅₅₉₄(10) = 9090909090..._<32796> = [9090909090..._<32796>] (0.00%)

Φ₆₅₅₉₅(10) = 1109988900..._<34977> = 333878551 × 168425001751_<12> × [1973892765..._<34957>] (0.06%)

Φ₆₅₅₉₆(10) = 1000000000..._<30361> = 1491521849_<10> × [6704561523..._<30351>] (0.03%)

Φ₆₅₅₉₇(10) = 9000000900..._<56220> = 25320443 × 514638902009_<12> × 190224995902646321_<18> × [3630789392..._<56184>] (0.06%)

Φ₆₅₅₉₈(10) = 9999999999..._<19488> = 251550552943_<12> × [3975344074..._<19477>] (0.06%)

Φ₆₅₅₉₉(10) = 1111111111..._<65599> = [1111111111..._<65599>] (0.00%)

Φ₆₅₆₀₀(10) = 1000000000..._<25601> = 158230949827201_<15> × [6319876112..._<25586>] (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