Factorization of cyclotomic number Phi

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Φ₂₇₈₀₀₁(10) = 9990000009..._<164736> = 2224009 × 92296333 × [4866811232..._<164722>] (0.01%)

Φ₂₇₈₀₀₂(10) = 1099999999..._<137473> = 834007 × [1318933773..._<137467>] (0.00%)

Φ₂₇₈₀₀₃(10) = 1111111111..._<249481> = 18348199 × 70952481667_<11> × (8534861120..._<249462>) (0.01%)

Φ₂₇₈₀₀₄(10) = 1009998990..._<92665> = 8340121 × [1211012394..._<92658>] (0.01%)

Φ₂₇₈₀₀₅(10) = 9999999999..._<172224> = 1283021431511_<13> × [7794102073..._<172212>] (0.01%)

Φ₂₇₈₀₀₆(10) = 1099999999..._<138169> = [1099999999..._<138169>] (0.00%)

Φ₂₇₈₀₀₇(10) = 9009009009..._<185336> = [9009009009..._<185336>] (0.00%)

Φ₂₇₈₀₀₈(10) = 9999000099..._<125280> = 16332691993_<11> × 20861891850937_<14> × [2934574307..._<125257>] (0.02%)

Φ₂₇₈₀₀₉(10) = 9000000000..._<276816> = 8896289 × (1011657782..._<276810>) (0.00%)

Φ₂₇₈₀₁₀(10) = 9990010000..._<74112> = 5838211 × 60202536168961_<14> × [2842309383..._<74092>] (0.03%)

Φ₂₇₈₀₁₁(10) = 9000000000..._<276232> = 37107796237_<11> × (2425366341..._<276222>) (0.00%)

Φ₂₇₈₀₁₂(10) = 1009999999..._<119137> = [1009999999..._<119137>] (0.00%)

Φ₂₇₈₀₁₃(10) = 9009009009..._<185340> = [9009009009..._<185340>] (0.00%)

Φ₂₇₈₀₁₄(10) = 1099999999..._<126361> = 4170211 × [2637756219..._<126354>] (0.01%)

Φ₂₇₈₀₁₅(10) = 9000090000..._<222408> = 705875885861441_<15> × (1275024431..._<222394>) (0.01%)

Φ₂₇₈₀₁₆(10) = 1000000000..._<92161> = 8840908801_<10> × [1131105435..._<92151>] (0.01%)

Φ₂₇₈₀₁₇(10) = 1111111111..._<278017> = (1111111111..._<278017>) (0.00%)

Φ₂₇₈₀₁₈(10) = 9999999999..._<117504> = 12510811 × [7993086938..._<117497>] (0.01%)

Φ₂₇₈₀₁₉(10) = 1000000001..._<158761> = [1000000001..._<158761>] (0.00%)

Φ_278020L(10) = 3576409999..._<55600> = 4448321 × 190829591761_<12> × 25680429013393280839351321_<26> × [1640601805..._<55557>] (0.08%)

Φ_278020M(10) = 2824060999..._<55601> = [2824060999..._<55601>] (0.00%)

Φ₂₇₈₀₂₁(10) = 9000000000..._<271200> = 556043 × 213682303209721_<15> × (7574702414..._<271180>) (0.01%)

Φ₂₇₈₀₂₂(10) = 1098901098..._<92673> = [1098901098..._<92673>] (0.00%)

Φ₂₇₈₀₂₃(10) = 9000000000..._<268408> = (9000000000..._<268408>) (0.00%)

Φ₂₇₈₀₂₄(10) = 1000099999..._<132881> = [1000099999..._<132881>] (0.00%)

Φ₂₇₈₀₂₅(10) = 9999900000..._<134400> = 3371331151_<10> × [2966157743..._<134391>] (0.01%)

Φ₂₇₈₀₂₆(10) = 1000000099..._<119113> = 1946183 × [5138263462..._<119106>] (0.01%)

Φ₂₇₈₀₂₇(10) = 9000000000..._<263376> = (9000000000..._<263376>) (0.00%)

Φ₂₇₈₀₂₈(10) = 1000000999..._<92665> = [1000000999..._<92665>] (0.00%)

Φ₂₇₈₀₂₉(10) = 1111111111..._<278029> = 341975671 × 4560787717_<10> × 1104117105671_<13> × (6452192017..._<277998>) (0.01%)

Φ₂₇₈₀₃₀(10) = 1099989000..._<111209> = [1099989000..._<111209>] (0.00%)

Φ₂₇₈₀₃₁(10) = 1109999999..._<171073> = [1109999999..._<171073>] (0.00%)

Φ₂₇₈₀₃₂(10) = 9999999900..._<139008> = 8340961 × 1703674721873_<13> × [7037156759..._<138989>] (0.01%)

Φ₂₇₈₀₃₃(10) = 9000000900..._<238308> = 556067 × 4086416152603_<13> × 5853640054081_<13> × (6766231059..._<238277>) (0.01%)

Φ₂₇₈₀₃₄(10) = 9100000000..._<91760> = 243094023288001_<15> × [3743407541..._<91746>] (0.02%)

Φ₂₇₈₀₃₅(10) = 1111099999..._<209281> = (1111099999..._<209281>) (0.00%)

Φ₂₇₈₀₃₆(10) = 9900990099..._<123200> = 4170541 × 20852701 × [1138476092..._<123187>] (0.01%)

Φ₂₇₈₀₃₇(10) = 9990000009..._<185352> = [9990000009..._<185352>] (0.00%)

Φ₂₇₈₀₃₈(10) = 9090909090..._<131040> = 20852851 × 266082367 × [1638422032..._<131025>] (0.01%)

Φ₂₇₈₀₃₉(10) = 9000000000..._<269040> = 42261929 × 979809437 × 350940269723_<12> × (6193246555..._<269012>) (0.01%)

Φ₂₇₈₀₄₀(10) = 1000099999..._<63361> = 22243201 × [4496205379..._<63353>] (0.01%)

Φ₂₇₈₀₄₁(10) = 1111111111..._<278041> = 45042643 × 463216307 × 1122715655951_<13> × (4743293583..._<278012>) (0.01%)

Φ₂₇₈₀₄₂(10) = 9090909090..._<139020> = 6394967 × 8291212441_<10> × 421024820459_<12> × 40133110049314889_<17> × [1014706515..._<138976>] (0.03%)

Φ₂₇₈₀₄₃(10) = 9009009009..._<185360> = [9009009009..._<185360>] (0.00%)

Φ₂₇₈₀₄₄(10) = 1009999999..._<128305> = 62559901 × [1614452682..._<128297>] (0.01%)

Φ₂₇₈₀₄₅(10) = 9000090000..._<222432> = 2005981232641_<13> × (4486627219..._<222420>) (0.01%)

Φ₂₇₈₀₄₆(10) = 9999999990..._<87480> = 556093 × 126510931 × [1421426865..._<87467>] (0.02%)

Φ₂₇₈₀₄₇(10) = 9000000900..._<205920> = (9000000900..._<205920>) (0.00%)

Φ₂₇₈₀₄₈(10) = 9999999999..._<139008> = 4726817 × [2115588566..._<139002>] (0.00%)

Φ₂₇₈₀₄₉(10) = 9009009009..._<185364> = [9009009009..._<185364>] (0.00%)

Φ₂₇₈₀₅₀(10) = 9999900000..._<108240> = 278051 × 39205051 × 700964051 × [1308679884..._<108219>] (0.02%)

Φ₂₇₈₀₅₁(10) = 1111111111..._<278051> = (1111111111..._<278051>) (0.00%)

Φ₂₇₈₀₅₂(10) = 1009998990..._<82433> = [1009998990..._<82433>] (0.00%)

Φ₂₇₈₀₅₃(10) = 9000000000..._<275200> = (9000000000..._<275200>) (0.00%)

Φ₂₇₈₀₅₄(10) = 1099999890..._<119161> = 226057903 × [4866009440..._<119152>] (0.01%)

Φ₂₇₈₀₅₅(10) = 9990000009..._<143424> = 278611111 × 38986924046671_<14> × [9197040196..._<143402>] (0.02%)

Φ₂₇₈₀₅₆(10) = 9999000099..._<139024> = [9999000099..._<139024>] (0.00%)

Φ₂₇₈₀₅₇(10) = 1111111111..._<252289> = 407141069453_<12> × (2729056817..._<252277>) (0.00%)

Φ₂₇₈₀₅₈(10) = 9999999999..._<84040> = 11293609289161_<14> × [8854565218..._<84027>] (0.02%)

Φ₂₇₈₀₅₉(10) = 9000000000..._<275400> = 943809571427311_<15> × (9535821920..._<275385>) (0.01%)

Φ_278060L(10) = 3576409999..._<55608> = 170526968441_<12> × [2097269442..._<55597>] (0.02%)

Φ_278060M(10) = 2824060999..._<55609> = [2824060999..._<55609>] (0.00%)

Φ₂₇₈₀₆₁(10) = 1109999889..._<158881> = 3680971519_<10> × [3015507952..._<158871>] (0.01%)

Φ₂₇₈₀₆₂(10) = 1099999999..._<135601> = 278063 × 140648764717_<12> × 537000564013_<12> × [5237678260..._<135572>] (0.02%)

Φ₂₇₈₀₆₃(10) = 1111111111..._<278063> = 66419795223297601_<17> × (1672861392..._<278046>) (0.01%)

Φ₂₇₈₀₆₄(10) = 1000000000..._<92641> = [1000000000..._<92641>] (0.00%)

Φ₂₇₈₀₆₅(10) = 1111099999..._<210673> = 4524117551_<10> × 377333766213431_<15> × (6508690139..._<210648>) (0.01%)

Φ₂₇₈₀₆₆(10) = 9090909090..._<139032> = 1390331 × 7507783 × [8709182615..._<139019>] (0.01%)

Φ₂₇₈₀₆₇(10) = 1109999999..._<182121> = [1109999999..._<182121>] (0.00%)

Φ₂₇₈₀₆₈(10) = 1009999999..._<119161> = [1009999999..._<119161>] (0.00%)

Φ₂₇₈₀₆₉(10) = 1111111111..._<237761> = (1111111111..._<237761>) (0.00%)

Φ₂₇₈₀₇₀(10) = 9100091000..._<63360> = 1395911401_<10> × [6519103571..._<63351>] (0.01%)

Φ₂₇₈₀₇₁(10) = 1111111111..._<278071> = 1668427 × (6659632762..._<278064>) (0.00%)

Φ₂₇₈₀₇₂(10) = 9999000099..._<139032> = 5839513 × [1712300340..._<139026>] (0.00%)

Φ₂₇₈₀₇₃(10) = 9999999999..._<185328> = 6506908201_<10> × [1536828197..._<185319>] (0.01%)

Φ₂₇₈₀₇₄(10) = 1099999999..._<138241> = 9176442001_<10> × [1198721683..._<138231>] (0.01%)

Φ₂₇₈₀₇₅(10) = 1000000000..._<189841> = 87315551 × [1145271361..._<189833>] (0.00%)

Φ₂₇₈₀₇₆(10) = 1009998990..._<92689> = 693799621 × [1455750276..._<92680>] (0.01%)

Φ₂₇₈₀₇₇(10) = 9000000000..._<277020> = 41120306575679_<14> × (2188699635..._<277007>) (0.00%)

Φ₂₇₈₀₇₈(10) = 1099999999..._<138025> = 52935484237_<11> × 117147031373_<12> × [1773840258..._<138003>] (0.02%)

Φ₂₇₈₀₇₉(10) = 9009009009..._<185384> = [9009009009..._<185384>] (0.00%)

Φ₂₇₈₀₈₀(10) = 9999999999..._<99840> = 2780801 × [3596086163..._<99834>] (0.01%)

Φ₂₇₈₀₈₁(10) = 1111111111..._<261073> = 934069665298369_<15> × (1189537731..._<261058>) (0.01%)

Φ₂₇₈₀₈₂(10) = 9990010000..._<79416> = [9990010000..._<79416>] (0.00%)

Φ₂₇₈₀₈₃(10) = 9000000000..._<256680> = 236910968159711_<15> × (3798895454..._<256666>) (0.01%)

Φ₂₇₈₀₈₄(10) = 1009999999..._<131689> = [1009999999..._<131689>] (0.00%)

Φ₂₇₈₀₈₅(10) = 1109988900..._<148305> = 2224681 × 18166736881_<11> × 2311693352671_<13> × [1188074678..._<148276>] (0.02%)

Φ₂₇₈₀₈₆(10) = 1099999999..._<130849> = 278087 × 30602448284717_<14> × [1292575219..._<130830>] (0.01%)

Φ₂₇₈₀₈₇(10) = 1111111111..._<278087> = 832695079285413997_<18> × (1334355322..._<278069>) (0.01%)

Φ₂₇₈₀₈₈(10) = 1000099999..._<92689> = 704481998929_<12> × [1419624634..._<92677>] (0.01%)

Φ₂₇₈₀₈₉(10) = 9000000900..._<238356> = (9000000900..._<238356>) (0.00%)

Φ₂₇₈₀₉₀(10) = 1099989000..._<111233> = 31424171 × [3500455111..._<111225>] (0.01%)

Φ₂₇₈₀₉₁(10) = 1000000000..._<165361> = 2070665587_<10> × [4829365042..._<165351>] (0.01%)

Φ₂₇₈₀₉₂(10) = 1009999999..._<135217> = [1009999999..._<135217>] (0.00%)

Φ₂₇₈₀₉₃(10) = 1111111111..._<261185> = 2571247879_<10> × 964098754135039_<15> × (4482208165..._<261160>) (0.01%)

Φ₂₇₈₀₉₄(10) = 1098901098..._<92697> = [1098901098..._<92697>] (0.00%)

Φ₂₇₈₀₉₅(10) = 9000090000..._<222472> = 131260841 × 19260303511_<11> × (3559988075..._<222454>) (0.01%)

Φ₂₇₈₀₉₆(10) = 9999999900..._<109440> = 922722529 × 62091088489249_<14> × [1745418592..._<109418>] (0.02%)

Φ₂₇₈₀₉₇(10) = 9009009009..._<185396> = 5588081119_<10> × 1061027933653_<13> × [1519453807..._<185375>] (0.01%)

Φ₂₇₈₀₉₈(10) = 1099999999..._<138181> = 124309807 × 15269174813933_<14> × [5795243995..._<138159>] (0.02%)

Φ₂₇₈₀₉₉(10) = 1111111111..._<264961> = (1111111111..._<264961>) (0.00%)

Φ_278100L(10) = 1000000000..._<36721> = 11958301 × [8362391948..._<36713>] (0.02%)

Φ_278100M(10) = 9999999999..._<36720> = 28366201 × [3525322266..._<36713>] (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