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

Φ₂₇₀₆₀₁(10) = 1111111111..._<270601> = 332839231 × 75029124168067_<14> × (4449314487..._<270578>) (0.01%)

Φ₂₇₀₆₀₂(10) = 9090909090..._<135300> = 17840910277891_<14> × 7769592492064009_<16> × [6558311864..._<135271>] (0.02%)

Φ₂₇₀₆₀₃(10) = 1001000999..._<178081> = 21567748055239_<14> × [4641193867..._<178067>] (0.01%)

Φ₂₇₀₆₀₄(10) = 9900990099..._<135300> = 700864361 × [1412682774..._<135292>] (0.01%)

Φ₂₇₀₆₀₅(10) = 9000090000..._<216480> = 1501857751_<10> × (5992638114..._<216471>) (0.00%)

Φ₂₇₀₆₀₆(10) = 1098900989..._<72577> = [1098900989..._<72577>] (0.00%)

Φ₂₇₀₆₀₇(10) = 9000000000..._<269560> = 7576997 × 3963310123_<10> × (2997004103..._<269544>) (0.01%)

Φ₂₇₀₆₀₈(10) = 1000000009..._<124801> = [1000000009..._<124801>] (0.00%)

Φ₂₇₀₆₀₉(10) = 9009009009..._<180404> = 78887088132613_<14> × [1142013125..._<180391>] (0.01%)

Φ₂₇₀₆₁₀(10) = 1099989000..._<108241> = 174543451 × 6923286241_<10> × [9102747500..._<108222>] (0.02%)

Φ₂₇₀₆₁₁(10) = 1111111111..._<241921> = (1111111111..._<241921>) (0.00%)

Φ₂₇₀₆₁₂(10) = 1000000999..._<90193> = 1671451254721_<13> × [5982830771..._<90180>] (0.01%)

Φ₂₇₀₆₁₃(10) = 1111110999..._<228097> = (1111110999..._<228097>) (0.00%)

Φ₂₇₀₆₁₄(10) = 1099999999..._<134537> = [1099999999..._<134537>] (0.00%)

Φ₂₇₀₆₁₅(10) = 1109988900..._<144321> = 541231 × [2050859799..._<144315>] (0.00%)

Φ₂₇₀₆₁₆(10) = 9999000099..._<135304> = 4713829795009_<13> × [2121205163..._<135292>] (0.01%)

Φ₂₇₀₆₁₇(10) = 9000000000..._<256356> = (9000000000..._<256356>) (0.00%)

Φ₂₇₀₆₁₈(10) = 1098901098..._<82369> = 270619 × 9201013 × [4413312481..._<82356>] (0.02%)

Φ₂₇₀₆₁₉(10) = 1111111111..._<270619> = 368041841 × (3018980418..._<270610>) (0.00%)

Φ_270620L(10) = 2798897498..._<46369> = [2798897498..._<46369>] (0.00%)

Φ_270620M(10) = 3537460769..._<46368> = 30038821 × [1177629697..._<46361>] (0.02%)

Φ₂₇₀₆₂₁(10) = 1000000000..._<165889> = [1000000000..._<165889>] (0.00%)

Φ₂₇₀₆₂₂(10) = 1099999999..._<123001> = 1623733 × [6774512804..._<122994>] (0.01%)

Φ₂₇₀₆₂₃(10) = 9000000000..._<254688> = 3247477 × (2771382214..._<254682>) (0.00%)

Φ₂₇₀₆₂₄(10) = 1000000000..._<90177> = [1000000000..._<90177>] (0.00%)

Φ₂₇₀₆₂₅(10) = 9999999999..._<216000> = (9999999999..._<216000>) (0.00%)

Φ₂₇₀₆₂₆(10) = 1099999999..._<132389> = [1099999999..._<132389>] (0.00%)

Φ₂₇₀₆₂₇(10) = 1000000000..._<154057> = 62257451779111_<14> × [1606233424..._<154043>] (0.01%)

Φ₂₇₀₆₂₈(10) = 1009999999..._<130593> = 182944529 × [5520799148..._<130584>] (0.01%)

Φ₂₇₀₆₂₉(10) = 9000000000..._<269376> = 977706800881_<12> × (9205213661..._<269364>) (0.00%)

Φ₂₇₀₆₃₀(10) = 1000999998..._<69121> = 2388851011_<10> × [4190298994..._<69111>] (0.01%)

Φ₂₇₀₆₃₁(10) = 1111111111..._<270631> = 4871359 × 23815529 × (9577388868..._<270616>) (0.01%)

Φ₂₇₀₆₃₂(10) = 9999000099..._<135312> = 219913939409_<12> × [4546778674..._<135301>] (0.01%)

Φ₂₇₀₆₃₃(10) = 9009009009..._<160080> = 508790041 × [1770673221..._<160072>] (0.01%)

Φ₂₇₀₆₃₄(10) = 9090910000..._<106992> = 10536864157_<11> × 12097339801_<11> × 40271151103_<11> × [1770973464..._<106962>] (0.03%)

Φ₂₇₀₆₃₅(10) = 1111099999..._<214145> = 541271 × (2052761001..._<214139>) (0.00%)

Φ₂₇₀₆₃₆(10) = 9901000000..._<85392> = [9901000000..._<85392>] (0.00%)

Φ₂₇₀₆₃₇(10) = 9000000000..._<268380> = 8087682549013_<13> × (1112803321..._<268368>) (0.00%)

Φ₂₇₀₆₃₈(10) = 9090909090..._<135318> = [9090909090..._<135318>] (0.00%)

Φ₂₇₀₆₃₉(10) = 9990000009..._<180420> = 55210357 × 706367791 × [2561616106..._<180404>] (0.01%)

Φ₂₇₀₆₄₀(10) = 9999999900..._<101376> = [9999999900..._<101376>] (0.00%)

Φ₂₇₀₆₄₁(10) = 1000000000..._<216481> = 194861521 × (5131849504..._<216472>) (0.00%)

Φ₂₇₀₆₄₂(10) = 9100000000..._<88032> = [9100000000..._<88032>] (0.00%)

Φ₂₇₀₆₄₃(10) = 9000000000..._<269280> = 1082573 × 220303403 × (3773671678..._<269266>) (0.01%)

Φ₂₇₀₆₄₄(10) = 1009999999..._<123001> = 2855294201_<10> × 715563633134549_<15> × [4943360124..._<122976>] (0.02%)

Φ₂₇₀₆₄₅(10) = 1109988900..._<144337> = 549409351 × [2020331284..._<144328>] (0.01%)

Φ₂₇₀₆₄₆(10) = 1099999999..._<134161> = 341658638773_<12> × 29884105586449_<14> × [1077357940..._<134136>] (0.02%)

Φ₂₇₀₆₄₇(10) = 1111111111..._<246241> = 6495529 × 279848999 × (6112504708..._<246225>) (0.01%)

Φ₂₇₀₆₄₈(10) = 9999999999..._<76896> = 16473328830001_<14> × [6070418494..._<76883>] (0.02%)

Φ₂₇₀₆₄₉(10) = 9000000000..._<267520> = 1082597 × 614914529 × 190974806083_<12> × (7079211016..._<267494>) (0.01%)

Φ₂₇₀₆₅₀(10) = 1000009999..._<108241> = [1000009999..._<108241>] (0.00%)

Φ₂₇₀₆₅₁(10) = 9009009009..._<180432> = 3247813 × [2773869372..._<180426>] (0.00%)

Φ₂₇₀₆₅₂(10) = 1009999999..._<133281> = [1009999999..._<133281>] (0.00%)

Φ₂₇₀₆₅₃(10) = 1111111111..._<270653> = 25013499635323_<14> × (4442045804..._<270639>) (0.00%)

Φ₂₇₀₆₅₄(10) = 9100000000..._<88920> = 41633073858997_<14> × [2185762221..._<88907>] (0.02%)

Φ₂₇₀₆₅₅(10) = 1111099888..._<155521> = [1111099888..._<155521>] (0.00%)

Φ₂₇₀₆₅₆(10) = 9999999999..._<135296> = [9999999999..._<135296>] (0.00%)

Φ₂₇₀₆₅₇(10) = 9990000009..._<161280> = [9990000009..._<161280>] (0.00%)

Φ₂₇₀₆₅₈(10) = 9090909090..._<135328> = 270659 × 9202373 × 5693020373_<10> × [6411243494..._<135306>] (0.02%)

Φ₂₇₀₆₅₉(10) = 1111111111..._<270659> = 8661089 × 16031266275547_<14> × (8002342983..._<270638>) (0.01%)

Φ_270660L(10) = 2555227054..._<33217> = [2555227054..._<33217>] (0.00%)

Φ_270660M(10) = 3952678052..._<33216> = 1561537401297236221_<19> × [2531273378..._<33198>] (0.05%)

Φ₂₇₀₆₆₁(10) = 9000000000..._<261900> = 68206573 × (1319520920..._<261893>) (0.00%)

Φ₂₇₀₆₆₂(10) = 1099999890..._<115993> = 3406010609_<10> × 25749823995197_<14> × [1254216126..._<115970>] (0.02%)

Φ₂₇₀₆₆₃(10) = 1109999999..._<178105> = [1109999999..._<178105>] (0.00%)

Φ₂₇₀₆₆₄(10) = 1000099999..._<129361> = 3518633 × 8119921 × 8701576937_<10> × [4022718913..._<129337>] (0.02%)

Φ₂₇₀₆₆₅(10) = 9000090000..._<216528> = 2165321 × 29773151 × (1396046115..._<216515>) (0.01%)

Φ₂₇₀₆₆₆(10) = 9990010000..._<81960> = 1894663 × 804148687 × [6556885377..._<81945>] (0.02%)

Φ₂₇₀₆₆₇(10) = 1111111111..._<270667> = 63336079 × 13034240053_<11> × (1345924199..._<270649>) (0.01%)

Φ₂₇₀₆₆₈(10) = 1009999999..._<134161> = 64960321 × 3167821402289_<13> × [4908090056..._<134140>] (0.02%)

Φ₂₇₀₆₆₉(10) = 1109999889..._<154657> = [1109999889..._<154657>] (0.00%)

Φ₂₇₀₆₇₀(10) = 1099989000..._<108265> = 1082681 × [1015986241..._<108259>] (0.01%)

Φ₂₇₀₆₇₁(10) = 9000000000..._<265512> = 3248053 × (2770890745..._<265506>) (0.00%)

Φ₂₇₀₆₇₂(10) = 1000000009..._<90209> = [1000000009..._<90209>] (0.00%)

Φ₂₇₀₆₇₃(10) = 1111111111..._<243985> = (1111111111..._<243985>) (0.00%)

Φ₂₇₀₆₇₄(10) = 9090909090..._<120384> = 65333070593201_<14> × [1391471273..._<120371>] (0.01%)

Φ₂₇₀₆₇₅(10) = 1000000000..._<144001> = 6763085551_<10> × [1478615038..._<143991>] (0.01%)

Φ₂₇₀₆₇₆(10) = 1000000000..._<115921> = 17052589 × 169172501 × [3466409811..._<115905>] (0.01%)

Φ₂₇₀₆₇₇(10) = 9999999999..._<245960> = 313183009011071_<15> × (3193021240..._<245946>) (0.01%)

Φ₂₇₀₆₇₈(10) = 9100000000..._<89376> = [9100000000..._<89376>] (0.00%)

Φ₂₇₀₆₇₉(10) = 1111111111..._<270679> = 1082717 × 347501489707_<12> × 14444676718953266363_<20> × (2044457267..._<270642>) (0.01%)

Φ₂₇₀₆₈₀(10) = 9999000099..._<105600> = 5241230976001_<13> × [1907757957..._<105588>] (0.01%)

Φ₂₇₀₆₈₁(10) = 9009009009..._<180452> = 541363 × 9744517 × 1118453893_<10> × 35920992787_<11> × [4250712349..._<180420>] (0.02%)

Φ₂₇₀₆₈₂(10) = 1099999999..._<132001> = 18852730619_<11> × [5834698549..._<131990>] (0.01%)

Φ₂₇₀₆₈₃(10) = 9000000900..._<232008> = (9000000900..._<232008>) (0.00%)

Φ₂₇₀₆₈₄(10) = 9999990000..._<88128> = 1668766861_<10> × [5992442823..._<88119>] (0.01%)

Φ₂₇₀₆₈₅(10) = 1111099999..._<211345> = 15556808321_<11> × (7142210516..._<211334>) (0.00%)

Φ₂₇₀₆₈₆(10) = 9090909090..._<120288> = [9090909090..._<120288>] (0.00%)

Φ₂₇₀₆₈₇(10) = 1109999999..._<172569> = [1109999999..._<172569>] (0.00%)

Φ₂₇₀₆₈₈(10) = 1000000000..._<122881> = 39791137 × 281244833 × [8935710678..._<122864>] (0.01%)

Φ₂₇₀₆₈₉(10) = 1111111111..._<270689> = (1111111111..._<270689>) (0.00%)

Φ₂₇₀₆₉₀(10) = 1098890000..._<61825> = 1082761 × 12317748451_<11> × 666266621161_<12> × [1236636980..._<61797>] (0.05%)

Φ₂₇₀₆₉₁(10) = 9000000000..._<254752> = (9000000000..._<254752>) (0.00%)

Φ₂₇₀₆₉₂(10) = 9900990099..._<125280> = [9900990099..._<125280>] (0.00%)

Φ₂₇₀₆₉₃(10) = 1001000999..._<170857> = 6999525996787_<13> × [1430098267..._<170844>] (0.01%)

Φ₂₇₀₆₉₄(10) = 9090909090..._<135346> = 218450059 × [4161550302..._<135338>] (0.01%)

Φ₂₇₀₆₉₅(10) = 9000090000..._<216552> = 541391 × 28942118743511_<14> × (5743881870..._<216533>) (0.01%)

Φ₂₇₀₆₉₆(10) = 1000099999..._<90225> = 1894873 × 694843925697193_<15> × [7595844307..._<90203>] (0.02%)

Φ₂₇₀₆₉₇(10) = 9000000900..._<232020> = 204397890761_<12> × 66745639100533_<14> × (6596950830..._<231995>) (0.01%)

Φ₂₇₀₆₉₈(10) = 9090909090..._<135348> = [9090909090..._<135348>] (0.00%)

Φ₂₇₀₆₉₉(10) = 9009009009..._<151200> = 54139801 × [1664026989..._<151193>] (0.01%)

Φ_270700L(10) = 1010050200..._<54121> = 812101 × [1243749485..._<54115>] (0.01%)

Φ_270700M(10) = 9900498007..._<54120> = 270701 × 14888501 × 62341456912601_<14> × [3940390457..._<54094>] (0.05%)

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