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

Φ₁₆₅₂₀₁(10) = 1109999999..._<107953> = 3161947470403_<13> × [3510494751..._<107940>] (0.01%)

Φ₁₆₅₂₀₂(10) = 9090909090..._<82600> = 4599719287_<10> × [1976405194..._<82591>] (0.01%)

Φ₁₆₅₂₀₃(10) = 1111111111..._<165203> = 12435056239188598807243_<23> × [8935312311..._<165180>] (0.01%)

Φ₁₆₅₂₀₄(10) = 9999990000..._<50688> = [9999990000..._<50688>] (0.00%)

Φ₁₆₅₂₀₅(10) = 9000090000..._<119232> = 3502015591_<10> × 1114877021431_<13> × 601586953907321_<15> × [3831805030..._<119196>] (0.03%)

Φ₁₆₅₂₀₆(10) = 9090909090..._<75264> = [9090909090..._<75264>] (0.00%)

Φ₁₆₅₂₀₇(10) = 1109999889..._<94393> = [1109999889..._<94393>] (0.00%)

Φ₁₆₅₂₀₈(10) = 1000099999..._<81409> = 1156457 × 6608321 × 170310405465089_<15> × [7683898588..._<81381>] (0.03%)

Φ₁₆₅₂₀₉(10) = 1111111111..._<143441> = [1111111111..._<143441>] (0.00%)

Φ₁₆₅₂₁₀(10) = 9100090999..._<44048> = 1696376281_<10> × [5364429520..._<44039>] (0.02%)

Φ₁₆₅₂₁₁(10) = 1111111111..._<165211> = 5947597 × 3903186134088280643_<19> × [4786264494..._<165185>] (0.02%)

Φ₁₆₅₂₁₂(10) = 1009999999..._<81601> = [1009999999..._<81601>] (0.00%)

Φ₁₆₅₂₁₃(10) = 1000000001..._<105841> = 330427 × [3026387071..._<105835>] (0.01%)

Φ₁₆₅₂₁₄(10) = 1099999890..._<70801> = 21973463 × [5006037919..._<70793>] (0.01%)

Φ₁₆₅₂₁₅(10) = 1111099999..._<130721> = 330431 × 113998351 × [2949672461..._<130707>] (0.01%)

Φ₁₆₅₂₁₆(10) = 1000000000..._<55041> = [1000000000..._<55041>] (0.00%)

Φ₁₆₅₂₁₇(10) = 1111111111..._<149521> = 11628963763_<11> × [9554687191..._<149510>] (0.01%)

Φ₁₆₅₂₁₈(10) = 9090909090..._<82608> = [9090909090..._<82608>] (0.00%)

Φ₁₆₅₂₁₉(10) = 9009009009..._<110144> = 330439 × 1970640039799_<13> × [1383497629..._<110127>] (0.02%)

Φ_165220L(10) = 2796127961..._<30001> = 5532912473441_<13> × 20120043113404901041_<20> × [2511737996..._<29969>] (0.11%)

Φ_165220M(10) = 3540964590..._<30000> = [3540964590..._<30000>] (0.00%)

Φ₁₆₅₂₂₁(10) = 9000000900..._<141612> = 33044201 × 133048110787369_<15> × [2047097771..._<141591>] (0.02%)

Φ₁₆₅₂₂₂(10) = 9990010000..._<53856> = 42792499 × [2334523627..._<53849>] (0.01%)

Φ₁₆₅₂₂₃(10) = 9000000000..._<155488> = 660893 × 4611288674933_<13> × [2953174072..._<155470>] (0.01%)

Φ₁₆₅₂₂₄(10) = 1000099999..._<78193> = 501161071729_<12> × 836252071501433_<15> × [2386321155..._<78166>] (0.03%)

Φ₁₆₅₂₂₅(10) = 1000010000..._<88081> = [1000010000..._<88081>] (0.00%)

Φ₁₆₅₂₂₆(10) = 9090909090..._<82612> = 4014692906167_<13> × 5402762480303_<13> × 34916587017077_<14> × [1200348413..._<82574>] (0.05%)

Φ₁₆₅₂₂₇(10) = 9000000000..._<163800> = [9000000000..._<163800>] (0.00%)

Φ₁₆₅₂₂₈(10) = 9999999999..._<47040> = 165229 × [6052206331..._<47035>] (0.01%)

Φ₁₆₅₂₂₉(10) = 1111111111..._<165229> = 660917 × [1681165881..._<165223>] (0.00%)

Φ₁₆₅₂₃₀(10) = 1099989000..._<57601> = [1099989000..._<57601>] (0.00%)

Φ₁₆₅₂₃₁(10) = 1001000999..._<100081> = 991387 × 89555203 × [1127458250..._<100067>] (0.01%)

Φ₁₆₅₂₃₂(10) = 1000000009..._<78849> = 165233 × [6052059879..._<78843>] (0.01%)

Φ₁₆₅₂₃₃(10) = 1111111111..._<165233> = 1982797 × 51916654392685613_<17> × [1079375458..._<165210>] (0.01%)

Φ₁₆₅₂₃₄(10) = 1098901098..._<55077> = [1098901098..._<55077>] (0.00%)

Φ₁₆₅₂₃₅(10) = 1111099888..._<113281> = 770440573561_<12> × 2268121690871_<13> × [6358396499..._<113256>] (0.02%)

Φ₁₆₅₂₃₆(10) = 1009999999..._<81601> = [1009999999..._<81601>] (0.00%)

Φ₁₆₅₂₃₇(10) = 9009009009..._<110156> = 24455077 × [3683901305..._<110149>] (0.01%)

Φ₁₆₅₂₃₈(10) = 9090909090..._<82618> = [9090909090..._<82618>] (0.00%)

Φ₁₆₅₂₃₉(10) = 9000000000..._<164424> = 441255371367227_<15> × [2039635228..._<164410>] (0.01%)

Φ₁₆₅₂₄₀(10) = 9999999999..._<41472> = 92534401 × 16297621201_<11> × 82379361580515939601_<20> × [8049226356..._<41434>] (0.09%)

Φ₁₆₅₂₄₁(10) = 9000000000..._<163984> = 4732682022209_<13> × [1901670122..._<163972>] (0.01%)

Φ₁₆₅₂₄₂(10) = 1099999889..._<60481> = [1099999889..._<60481>] (0.00%)

Φ₁₆₅₂₄₃(10) = 9009009009..._<95904> = 660973 × [1362991984..._<95899>] (0.01%)

Φ₁₆₅₂₄₄(10) = 1009999999..._<81649> = 1265769041_<10> × [7979338783..._<81639>] (0.01%)

Φ₁₆₅₂₄₅(10) = 9000090000..._<132192> = [9000090000..._<132192>] (0.00%)

Φ₁₆₅₂₄₆(10) = 1098901098..._<55081> = 165247 × 612049371529_<12> × [1086522108..._<55064>] (0.03%)

Φ₁₆₅₂₄₇(10) = 1111111111..._<165247> = 991483 × 6609881 × 3134912921658196867_<19> × [5408204380..._<165215>] (0.02%)

Φ₁₆₅₂₄₈(10) = 9999999999..._<82560> = 7766657 × 1799949345957293953_<19> × [7153286027..._<82535>] (0.03%)

Φ₁₆₅₂₄₉(10) = 9990000009..._<90720> = 19392300649_<11> × 451441785229849_<15> × [1141128095..._<90696>] (0.03%)

Φ₁₆₅₂₅₀(10) = 1000000000..._<66001> = 36355001 × [2750653204..._<65993>] (0.01%)

Φ₁₆₅₂₅₁(10) = 9000000000..._<164352> = 578047999 × [1556964130..._<164344>] (0.01%)

Φ₁₆₅₂₅₂(10) = 9901000000..._<53728> = [9901000000..._<53728>] (0.00%)

Φ₁₆₅₂₅₃(10) = 1111111111..._<147601> = 1810285471391_<13> × [6137767377..._<147588>] (0.01%)

Φ₁₆₅₂₅₄(10) = 1099999999..._<81017> = [1099999999..._<81017>] (0.00%)

Φ₁₆₅₂₅₅(10) = 9009099100..._<84128> = 129524288708431_<15> × 287342090222041_<15> × 530990416366231_<15> × [4558733650..._<84085>] (0.05%)

Φ₁₆₅₂₅₆(10) = 9999000099..._<65088> = [9999000099..._<65088>] (0.00%)

Φ₁₆₅₂₅₇(10) = 9000000000..._<155520> = 2313599 × 256148351 × 26496976867_<11> × [5731476691..._<155495>] (0.02%)

Φ₁₆₅₂₅₈(10) = 1000999998..._<55081> = 213183976807_<12> × 28828693082899_<14> × [1628750503..._<55056>] (0.05%)

Φ₁₆₅₂₅₉(10) = 9000000000..._<162400> = [9000000000..._<162400>] (0.00%)

Φ_165260L(10) = 3576409999..._<33048> = 9756881321321_<13> × [3665525778..._<33035>] (0.04%)

Φ_165260M(10) = 2824060999..._<33049> = 57870061834297698843041_<23> × [4880003425..._<33026>] (0.07%)

Φ₁₆₅₂₆₁(10) = 1109999999..._<106561> = 629487742573_<12> × [1763338544..._<106549>] (0.01%)

Φ₁₆₅₂₆₂(10) = 1099999999..._<78265> = [1099999999..._<78265>] (0.00%)

Φ₁₆₅₂₆₃(10) = 9000000900..._<141648> = [9000000900..._<141648>] (0.00%)

Φ₁₆₅₂₆₄(10) = 9999999900..._<49920> = 1919210833_<10> × [5210474913..._<49911>] (0.02%)

Φ₁₆₅₂₆₅(10) = 9000090000..._<132208> = 15865441 × 97836881 × [5798185491..._<132193>] (0.01%)

Φ₁₆₅₂₆₆(10) = 9090909090..._<82632> = 1322129 × 615120053 × [1117824433..._<82618>] (0.02%)

Φ₁₆₅₂₆₇(10) = 9999999990..._<110160> = 59496121 × [1680781842..._<110153>] (0.01%)

Φ₁₆₅₂₆₈(10) = 1009999999..._<81433> = [1009999999..._<81433>] (0.00%)

Φ₁₆₅₂₆₉(10) = 9000000000..._<152544> = [9000000000..._<152544>] (0.00%)

Φ₁₆₅₂₇₀(10) = 1098890000..._<37729> = 33979226248171_<14> × [3234005365..._<37715>] (0.04%)

Φ₁₆₅₂₇₁(10) = 1111111111..._<154561> = 23538226363_<11> × [4720453843..._<154550>] (0.01%)

Φ₁₆₅₂₇₂(10) = 1000099999..._<81217> = 7271969 × [1375280890..._<81210>] (0.01%)

Φ₁₆₅₂₇₃(10) = 1109999999..._<108769> = [1109999999..._<108769>] (0.00%)

Φ₁₆₅₂₇₄(10) = 1099999999..._<77761> = [1099999999..._<77761>] (0.00%)

Φ₁₆₅₂₇₅(10) = 1000010000..._<120001> = 191531578151_<12> × [5221123376..._<119989>] (0.01%)

Φ₁₆₅₂₇₆(10) = 1000000999..._<55081> = [1000000999..._<55081>] (0.00%)

Φ₁₆₅₂₇₇(10) = 9999999000..._<141624> = 2974987 × 12669143159_<11> × 18370538551_<11> × [1444261227..._<141598>] (0.02%)

Φ₁₆₅₂₇₈(10) = 1099999999..._<79025> = [1099999999..._<79025>] (0.00%)

Φ₁₆₅₂₇₉(10) = 1109999999..._<107137> = [1109999999..._<107137>] (0.00%)

Φ₁₆₅₂₈₀(10) = 1000000000..._<66049> = 661121 × [1512582416..._<66043>] (0.01%)

Φ₁₆₅₂₈₁(10) = 9000000000..._<156564> = 330563 × 896814707 × [3035886608..._<156550>] (0.01%)

Φ₁₆₅₂₈₂(10) = 9999999999..._<50544> = 144149704609_<12> × [6937232391..._<50533>] (0.02%)

Φ₁₆₅₂₈₃(10) = 9000000000..._<164248> = [9000000000..._<164248>] (0.00%)

Φ₁₆₅₂₈₄(10) = 1009999999..._<70825> = 7768349 × [1300147560..._<70818>] (0.01%)

Φ₁₆₅₂₈₅(10) = 1001000999..._<88129> = 40660111 × 205692045442201_<15> × [1196874059..._<88107>] (0.02%)

Φ₁₆₅₂₈₆(10) = 1000000000..._<75021> = 165287 × [6050082583..._<75015>] (0.01%)

Φ₁₆₅₂₈₇(10) = 1111111111..._<165287> = [1111111111..._<165287>] (0.00%)

Φ₁₆₅₂₈₈(10) = 9999000100..._<53760> = 96249544530961_<14> × [1038862069..._<53747>] (0.03%)

Φ₁₆₅₂₈₉(10) = 9000000000..._<162756> = 3024458123_<10> × [2975739664..._<162747>] (0.01%)

Φ₁₆₅₂₉₀(10) = 1099989000..._<66113> = [1099989000..._<66113>] (0.00%)

Φ₁₆₅₂₉₁(10) = 9009009909..._<88704> = [9009009909..._<88704>] (0.00%)

Φ₁₆₅₂₉₂(10) = 1000000000..._<78121> = 36071507869_<11> × [2772271133..._<78110>] (0.01%)

Φ₁₆₅₂₉₃(10) = 1111111111..._<165293> = 330587 × 6212728153123_<13> × [5409901630..._<165274>] (0.01%)

Φ₁₆₅₂₉₄(10) = 1000000000..._<55081> = [1000000000..._<55081>] (0.00%)

Φ₁₆₅₂₉₅(10) = 1111099999..._<122017> = 1632087126281_<13> × [6807847339..._<122004>] (0.01%)

Φ₁₆₅₂₉₆(10) = 9999999900..._<82640> = [9999999900..._<82640>] (0.00%)

Φ₁₆₅₂₉₇(10) = 1109999999..._<100161> = 6611881 × [1678796094..._<100154>] (0.01%)

Φ₁₆₅₂₉₈(10) = 1099999890..._<70837> = [1099999890..._<70837>] (0.00%)

Φ₁₆₅₂₉₉(10) = 9000000000..._<161736> = 5289569 × 12542335029547_<14> × [1356575050..._<161717>] (0.01%)

Φ_165300L(10) = 1010050099..._<20161> = 489319899263401_<15> × [2064191751..._<20146>] (0.07%)

Φ_165300M(10) = 9900498998..._<20160> = [9900498998..._<20160>] (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