Factorization of cyclotomic number Phi

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

Φ₂₇₆₀₀₁(10) = 9999999999..._<250800> = 29256107 × 948891439 × 185549266693517_<15> × (1941367225..._<250770>) (0.01%)

Φ₂₇₆₀₀₂(10) = 1099999999..._<135605> = 828007 × 78247551223133_<14> × [1697805443..._<135585>] (0.01%)

Φ₂₇₆₀₀₃(10) = 9990000009..._<145152> = 15456169 × [6463438650..._<145145>] (0.00%)

Φ₂₇₆₀₀₄(10) = 9900990099..._<138000> = 385025581 × 1400253025229_<13> × [1836464432..._<137980>] (0.02%)

Φ₂₇₆₀₀₅(10) = 9000090000..._<220800> = (9000090000..._<220800>) (0.00%)

Φ₂₇₆₀₀₆(10) = 9100000000..._<91104> = 9996032848339_<13> × [9103611540..._<91091>] (0.01%)

Φ₂₇₆₀₀₇(10) = 1111111111..._<276007> = (1111111111..._<276007>) (0.00%)

Φ₂₇₆₀₀₈(10) = 9999000099..._<138000> = 40573177 × 9880810393_<10> × [2494163914..._<137983>] (0.01%)

Φ₂₇₆₀₀₉(10) = 9009009009..._<184004> = [9009009009..._<184004>] (0.00%)

Φ₂₇₆₀₁₀(10) = 9091000909..._<94608> = 276011 × 12420451 × 197509443881_<12> × 984918500161_<12> × 1284656527841_<13> × [1061140170..._<94561>] (0.05%)

Φ₂₇₆₀₁₁(10) = 1111111111..._<276011> = (1111111111..._<276011>) (0.00%)

Φ₂₇₆₀₁₂(10) = 1000000999..._<76801> = [1000000999..._<76801>] (0.00%)

Φ₂₇₆₀₁₃(10) = 1111111111..._<256609> = 44714107 × (2484922959..._<256601>) (0.00%)

Φ₂₇₆₀₁₄(10) = 9090909090..._<138006> = 3864197 × 126399693001423_<15> × 128416610103623_<15> × [1449375231..._<137972>] (0.03%)

Φ₂₇₆₀₁₅(10) = 1109988900..._<147201> = 552031 × [2010736534..._<147195>] (0.00%)

Φ₂₇₆₀₁₆(10) = 1000000009..._<127297> = 19321121 × [5175683181..._<127289>] (0.01%)

Φ₂₇₆₀₁₇(10) = 1000000100..._<229321> = (1000000100..._<229321>) (0.00%)

Φ₂₇₆₀₁₈(10) = 9100000000..._<91136> = 276019 × 327081331 × [1007967798..._<91123>] (0.02%)

Φ₂₇₆₀₁₉(10) = 1111111111..._<276019> = 7728533 × (1437674020..._<276012>) (0.00%)

Φ_276020L(10) = 3541000000..._<53568> = 383494183421_<12> × [9233516838..._<53556>] (0.02%)

Φ_276020M(10) = 2796099999..._<53569> = 147118661 × 3488387715310672201_<19> × 5448289643..._<53542> (100.00%)

Φ₂₇₆₀₂₁(10) = 9999999990..._<183996> = [9999999990..._<183996>] (0.00%)

Φ₂₇₆₀₂₂(10) = 1099999999..._<133225> = 18217453 × [6038165708..._<133217>] (0.01%)

Φ₂₇₆₀₂₃(10) = 1111111111..._<239801> = (1111111111..._<239801>) (0.00%)

Φ₂₇₆₀₂₄(10) = 1000099999..._<74881> = 1371563257_<10> × [7291679730..._<74871>] (0.01%)

Φ₂₇₆₀₂₅(10) = 1000010000..._<216001> = (1000010000..._<216001>) (0.00%)

Φ₂₇₆₀₂₆(10) = 1099999999..._<136189> = 552053 × 141625076237_<12> × [1406927615..._<136172>] (0.01%)

Φ₂₇₆₀₂₇(10) = 9009009009..._<184016> = [9009009009..._<184016>] (0.00%)

Φ₂₇₆₀₂₈(10) = 1009999999..._<136801> = [1009999999..._<136801>] (0.00%)

Φ₂₇₆₀₂₉(10) = 1111111111..._<239617> = (1111111111..._<239617>) (0.00%)

Φ₂₇₆₀₃₀(10) = 9990010000..._<73584> = 1755274771_<10> × [5691422314..._<73575>] (0.01%)

Φ₂₇₆₀₃₁(10) = 1111110999..._<231289> = 14353613 × (7740984795..._<231281>) (0.00%)

Φ₂₇₆₀₃₂(10) = 1000000000..._<130177> = 3864449 × 15438745793_<11> × [1676101842..._<130160>] (0.01%)

Φ₂₇₆₀₃₃(10) = 1109999999..._<182001> = [1109999999..._<182001>] (0.00%)

Φ₂₇₆₀₃₄(10) = 1099999999..._<125461> = [1099999999..._<125461>] (0.00%)

Φ₂₇₆₀₃₅(10) = 9000090000..._<220824> = 2208281 × (4075609037..._<220818>) (0.00%)

Φ₂₇₆₀₃₆(10) = 1009998990..._<92009> = 51894769 × 403840669 × [4819337084..._<91992>] (0.02%)

Φ₂₇₆₀₃₇(10) = 1111111111..._<276037> = (1111111111..._<276037>) (0.00%)

Φ₂₇₆₀₃₈(10) = 1099999890..._<118297> = 2587856251_<10> × 15974043023_<11> × 24201355613_<11> × [1099506877..._<118267>] (0.03%)

Φ₂₇₆₀₃₉(10) = 9990000009..._<184020> = 1104157 × [9047626388..._<184014>] (0.00%)

Φ₂₇₆₀₄₀(10) = 9999000099..._<107712> = 4416641 × [2263937707..._<107706>] (0.01%)

Φ₂₇₆₀₄₁(10) = 1111111111..._<276041> = 396394877 × (2803041047..._<276032>) (0.00%)

Φ₂₇₆₀₄₂(10) = 9100000000..._<84912> = 828127 × 146437244539_<12> × [7504001281..._<84895>] (0.02%)

Φ₂₇₆₀₄₃(10) = 1111111111..._<276043> = (1111111111..._<276043>) (0.00%)

Φ₂₇₆₀₄₄(10) = 9900990099..._<138020> = 552089 × 11593849 × 104068589 × [1486353896..._<138000>] (0.02%)

Φ₂₇₆₀₄₅(10) = 1109988788..._<114241> = [1109988788..._<114241>] (0.00%)

Φ₂₇₆₀₄₆(10) = 9090909090..._<123904> = 276047 × [3293246835..._<123899>] (0.00%)

Φ₂₇₆₀₄₇(10) = 1111111111..._<276047> = 1656283 × (6708461724..._<276040>) (0.00%)

Φ₂₇₆₀₄₈(10) = 1000000000..._<90721> = 16562881 × 520302723697_<12> × [1160400798..._<90702>] (0.02%)

Φ₂₇₆₀₄₉(10) = 1111111111..._<276049> = 52449311 × 5736850319_<10> × 81012100031_<11> × 3665455915721_<13> × (1243558709..._<276008>) (0.01%)

Φ₂₇₆₀₅₀(10) = 1000009999..._<110401> = [1000009999..._<110401>] (0.00%)

Φ₂₇₆₀₅₁(10) = 9009009009..._<167328> = 1290814477_<10> × 285030386929_<12> × [2448623602..._<167308>] (0.01%)

Φ₂₇₆₀₅₂(10) = 1009999999..._<118297> = [1009999999..._<118297>] (0.00%)

Φ₂₇₆₀₅₃(10) = 9000000000..._<269280> = 552107 × (1630118799..._<269275>) (0.00%)

Φ₂₇₆₀₅₄(10) = 9100000000..._<91080> = [9100000000..._<91080>] (0.00%)

Φ₂₇₆₀₅₅(10) = 9000090000..._<195840> = [9000090000..._<195840>] (0.00%)

Φ₂₇₆₀₅₆(10) = 1000099999..._<125441> = [1000099999..._<125441>] (0.00%)

Φ₂₇₆₀₅₇(10) = 1001000999..._<178849> = [1001000999..._<178849>] (0.00%)

Φ₂₇₆₀₅₈(10) = 1099999999..._<136285> = 386416326371_<12> × 101283749174291_<15> × [2810589689..._<136259>] (0.02%)

Φ₂₇₆₀₅₉(10) = 1111110999..._<233857> = 6744673489_<10> × (1647390347..._<233847>) (0.00%)

Φ_276060L(10) = 2555229609..._<35617> = [2555229609..._<35617>] (0.00%)

Φ_276060M(10) = 3952674100..._<35616> = 169470171942481_<15> × [2332371564..._<35602>] (0.04%)

Φ₂₇₆₀₆₁(10) = 9000000000..._<271324> = 12509980277_<11> × (7194255946..._<271314>) (0.00%)

Φ₂₇₆₀₆₂(10) = 1099999999..._<136513> = [1099999999..._<136513>] (0.00%)

Φ₂₇₆₀₆₃(10) = 1109999999..._<173185> = 2760631 × 162905328427_<12> × [2468194206..._<173167>] (0.01%)

Φ₂₇₆₀₆₄(10) = 9999999999..._<138016> = [9999999999..._<138016>] (0.00%)

Φ₂₇₆₀₆₅(10) = 9000090000..._<220848> = (9000090000..._<220848>) (0.00%)

Φ₂₇₆₀₆₆(10) = 9999999999..._<78624> = [9999999999..._<78624>] (0.00%)

Φ₂₇₆₀₆₇(10) = 9000000000..._<250960> = 119130088243_<12> × (7554766501..._<250949>) (0.00%)

Φ₂₇₆₀₆₈(10) = 1009999999..._<127393> = 52622977889_<11> × 85119973558049_<14> × [2254833471..._<127368>] (0.02%)

Φ₂₇₆₀₆₉(10) = 1109999999..._<176001> = 126964308127747_<15> × [8742614490..._<175986>] (0.01%)

Φ₂₇₆₀₇₀(10) = 9091000000..._<104544> = 149077801 × 29025723731_<11> × 14911875498451_<14> × 15840846631331_<14> × [8894160540..._<104499>] (0.04%)

Φ₂₇₆₀₇₁(10) = 9000000000..._<274944> = 41126538708197_<14> × 291255345609317_<15> × (7513571861..._<274916>) (0.01%)

Φ₂₇₆₀₇₂(10) = 1000099999..._<92017> = [1000099999..._<92017>] (0.00%)

Φ₂₇₆₀₇₃(10) = 9000000900..._<236628> = 34785199 × (2587307578..._<236621>) (0.00%)

Φ₂₇₆₀₇₄(10) = 1099999999..._<137197> = [1099999999..._<137197>] (0.00%)

Φ₂₇₆₀₇₅(10) = 1000000000..._<146881> = [1000000000..._<146881>] (0.00%)

Φ₂₇₆₀₇₆(10) = 9900990099..._<138036> = 2388057401_<10> × [4146043597..._<138027>] (0.01%)

Φ₂₇₆₀₇₇(10) = 9000000000..._<270816> = 5060253431627_<13> × (1778567046..._<270804>) (0.00%)

Φ₂₇₆₀₇₈(10) = 1098901098..._<80961> = [1098901098..._<80961>] (0.00%)

Φ₂₇₆₀₇₉(10) = 1111111111..._<276079> = 3552584573_<10> × 95061158428471_<14> × (3290106548..._<276055>) (0.01%)

Φ₂₇₆₀₈₀(10) = 1000000009..._<86017> = [1000000009..._<86017>] (0.00%)

Φ₂₇₆₀₈₁(10) = 1109999999..._<169873> = 53932423351_<11> × [2058131140..._<169862>] (0.01%)

Φ₂₇₆₀₈₂(10) = 9090909090..._<138040> = [9090909090..._<138040>] (0.00%)

Φ₂₇₆₀₈₃(10) = 1111111111..._<276083> = 7178159 × (1547905404..._<276076>) (0.00%)

Φ₂₇₆₀₈₄(10) = 1000000999..._<92017> = 14356369 × [6965556541..._<92009>] (0.01%)

Φ₂₇₆₀₈₅(10) = 9000090000..._<220864> = 123686081 × 2551025401_<10> × 21225542903441_<14> × (1343855066..._<220834>) (0.01%)

Φ₂₇₆₀₈₆(10) = 9090909090..._<129600> = 1656517 × 4693463 × [1169278647..._<129588>] (0.01%)

Φ₂₇₆₀₈₇(10) = 1109999889..._<157753> = [1109999889..._<157753>] (0.00%)

Φ₂₇₆₀₈₈(10) = 9999000099..._<138040> = [9999000099..._<138040>] (0.00%)

Φ₂₇₆₀₈₉(10) = 1111111111..._<237601> = 2559897209_<10> × 8899452827_<10> × 7685218373603_<13> × 241319985786881_<15> × (2629796571..._<237554>) (0.02%)

Φ₂₇₆₀₉₀(10) = 9100090999..._<73616> = 276091 × 11319691 × 3281329651_<10> × [8873788035..._<73594>] (0.03%)

Φ₂₇₆₀₉₁(10) = 1111111111..._<276091> = 591978143590426471_<18> × (1876946172..._<276073>) (0.01%)

Φ₂₇₆₀₉₂(10) = 1009999999..._<132001> = 3865289 × [2612999959..._<131994>] (0.00%)

Φ₂₇₆₀₉₃(10) = 9990000009..._<184056> = [9990000009..._<184056>] (0.00%)

Φ₂₇₆₀₉₄(10) = 1099999889..._<103681> = 10207828539637_<14> × [1077604199..._<103668>] (0.01%)

Φ₂₇₆₀₉₅(10) = 9000090000..._<220872> = 2756532481_<10> × 1473750934801_<13> × (2215438224..._<220851>) (0.01%)

Φ₂₇₆₀₉₆(10) = 1000000000..._<91905> = 19326721 × [5174183453..._<91897>] (0.01%)

Φ₂₇₆₀₉₇(10) = 1111111111..._<255745> = 11043881 × 175351965671_<12> × (5737532169..._<255726>) (0.01%)

Φ₂₇₆₀₉₈(10) = 1099999999..._<136837> = 3301016367983_<13> × [3332307015..._<136824>] (0.01%)

Φ₂₇₆₀₉₉(10) = 9009009009..._<184064> = [9009009009..._<184064>] (0.00%)

Φ_276100L(10) = 9900498006..._<50000> = 1068197316856089075701_<22> × [9268416846..._<49979>] (0.04%)

Φ_276100M(10) = 1010050200..._<50001> = [1010050200..._<50001>] (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