Factorization of cyclotomic number Phi

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Φ₁₃₆₉₀₁(10) = 9000000000..._<128832> = 273803 × 8744607778213_<13> × [3758927698..._<128814>] (0.01%)

Φ₁₃₆₉₀₂(10) = 1098901098..._<45633> = 140576586583_<12> × 136908727364281_<15> × 289271154391492699_<18> × [1973828210..._<45590>] (0.09%)

Φ₁₃₆₉₀₃(10) = 9000000000..._<126360> = 254871937795333_<15> × [3531185142..._<126346>] (0.01%)

Φ₁₃₆₉₀₄(10) = 1000099999..._<67393> = 3148793 × 69684137 × 442769329610857_<15> × [1029408761..._<67364>] (0.04%)

Φ₁₃₆₉₀₅(10) = 1109988900..._<73009> = 178250311 × 571715281 × 2623921231_<10> × 33635642651431_<14> × [1234121776..._<72969>] (0.05%)

Φ₁₃₆₉₀₆(10) = 9999999000..._<52920> = 27395848943_<11> × [3650187669..._<52910>] (0.02%)

Φ₁₃₆₉₀₇(10) = 9000000000..._<135096> = 23274191 × [3866944290..._<135089>] (0.01%)

Φ₁₃₆₉₀₈(10) = 1000000999..._<45625> = 30256669 × 2247760584268021_<16> × [1470378922..._<45602>] (0.05%)

Φ₁₃₆₉₀₉(10) = 9000000000..._<132160> = 281758723 × [3194222313..._<132152>] (0.01%)

Φ₁₃₆₉₁₀(10) = 1099989000..._<54761> = 176016434825623201_<18> × [6249353937..._<54743>] (0.03%)

Φ₁₃₆₉₁₁(10) = 1109999999..._<89241> = 821467 × [1351241133..._<89235>] (0.01%)

Φ₁₃₆₉₁₂(10) = 1000000009..._<66529> = 6485149582559160266284093600321_<31> × [1541984494..._<66498>] (0.05%)

Φ₁₃₆₉₁₃(10) = 9000000900..._<117348> = [9000000900..._<117348>] (0.00%)

Φ₁₃₆₉₁₄(10) = 9100000000..._<43200> = 203440101859_<12> × 1274343210853_<13> × [3510091342..._<43177>] (0.05%)

Φ₁₃₆₉₁₅(10) = 1111099999..._<108193> = 4655111 × [2386838896..._<108186>] (0.01%)

Φ₁₃₆₉₁₆(10) = 1009999999..._<63169> = 410749 × 30806101 × [7981933846..._<63155>] (0.02%)

Φ₁₃₆₉₁₇(10) = 1000000001..._<82801> = 29281460381119_<14> × [3415130215..._<82787>] (0.02%)

Φ₁₃₆₉₁₈(10) = 1099999999..._<64417> = 1226592035167063_<16> × [8967936921..._<64401>] (0.02%)

Φ₁₃₆₉₁₉(10) = 9000000000..._<130944> = 305603209 × [2944995253..._<130936>] (0.01%)

Φ₁₃₆₉₂₀(10) = 1000099999..._<31105> = 1369201 × [7304259929..._<31098>] (0.02%)

Φ₁₃₆₉₂₁(10) = 9000000000..._<136144> = [9000000000..._<136144>] (0.00%)

Φ₁₃₆₉₂₂(10) = 1099999999..._<67933> = 7919829179489_<13> × [1388918845..._<67920>] (0.02%)

Φ₁₃₆₉₂₃(10) = 9009009009..._<91280> = 663739171729_<12> × 415769077437121_<15> × [3264580531..._<91254>] (0.03%)

Φ₁₃₆₉₂₄(10) = 9900990099..._<68460> = 190598209 × 1981564129_<10> × 1359204429269_<13> × 4267294652701_<13> × 250825591793801_<15> × [1801948691..._<68404>] (0.08%)

Φ₁₃₆₉₂₅(10) = 9999900000..._<109520> = 821551 × 7667801 × 16034370721751_<14> × [9900072492..._<109494>] (0.02%)

Φ₁₃₆₉₂₆(10) = 1000999998..._<45637> = 3560077 × 3371939677_<10> × 195996971809_<12> × [4254470607..._<45609>] (0.06%)

Φ₁₃₆₉₂₇(10) = 1111110999..._<113401> = 76131413 × 2066228431_<10> × 724047519973_<12> × [9755469003..._<113371>] (0.03%)

Φ₁₃₆₉₂₈(10) = 1000000000..._<62081> = 220945647275233_<15> × [4526000001..._<62066>] (0.02%)

Φ₁₃₆₉₂₉(10) = 1109999999..._<84241> = [1109999999..._<84241>] (0.00%)

Φ₁₃₆₉₃₀(10) = 1099989000..._<54769> = 125502917641_<12> × 316509236696131_<15> × [2769160521..._<54743>] (0.05%)

Φ₁₃₆₉₃₁(10) = 9000000000..._<135864> = [9000000000..._<135864>] (0.00%)

Φ₁₃₆₉₃₂(10) = 1009998990..._<45641> = 6453085503061_<13> × [1565141186..._<45628>] (0.03%)

Φ₁₃₆₉₃₃(10) = 9000000000..._<129708> = 1643197 × 192253933 × 6473370643_<10> × [4400957443..._<129684>] (0.02%)

Φ₁₃₆₉₃₄(10) = 1099999890..._<58681> = 38161776999349291_<17> × [2882465064..._<58664>] (0.03%)

Φ₁₃₆₉₃₅(10) = 9990000009..._<68352> = 1095481 × 12050281 × [7567692287..._<68339>] (0.02%)

Φ₁₃₆₉₃₆(10) = 9999000099..._<68464> = [9999000099..._<68464>] (0.00%)

Φ₁₃₆₉₃₇(10) = 9000000000..._<133200> = [9000000000..._<133200>] (0.00%)

Φ₁₃₆₉₃₈(10) = 9100000000..._<44016> = 10133413 × 9338623849_<10> × [9616184035..._<43999>] (0.04%)

Φ₁₃₆₉₃₉(10) = 1111111111..._<121801> = 1369391 × [8113906919..._<121794>] (0.01%)

Φ_136940L(10) = 2796099999..._<26561> = 6573121 × 165198752728531601_<18> × 6879154615826839147261_<22> × [3743167295..._<26515>] (0.17%)

Φ_136940M(10) = 3541000000..._<26560> = 1232461 × [2873113226..._<26554>] (0.02%)

Φ₁₃₆₉₄₁(10) = 1109999889..._<78241> = 21643251169_<11> × 9866341327039_<13> × [5198096049..._<78217>] (0.03%)

Φ₁₃₆₉₄₂(10) = 9090909090..._<60192> = 136943 × 2054131 × 6450515969_<10> × 12570239584470881_<17> × [3985669932..._<60155>] (0.06%)

Φ₁₃₆₉₄₃(10) = 1111111111..._<136943> = 11990026535021401_<17> × [9266961235..._<136926>] (0.01%)

Φ₁₃₆₉₄₄(10) = 1000000000..._<45505> = 410833 × 15453171793_<11> × [1575132333..._<45489>] (0.03%)

Φ₁₃₆₉₄₅(10) = 1111099999..._<107521> = 2191121 × 133403876191_<12> × [3801179143..._<107503>] (0.02%)

Φ₁₃₆₉₄₆(10) = 9090909090..._<68472> = 1095569 × 34790446571_<11> × [2385105403..._<68456>] (0.02%)

Φ₁₃₆₉₄₇(10) = 1109999999..._<90441> = [1109999999..._<90441>] (0.00%)

Φ₁₃₆₉₄₈(10) = 9900990099..._<57024> = 136949 × 10408049 × 46325089224989_<14> × [1499457525..._<56999>] (0.05%)

Φ₁₃₆₉₄₉(10) = 1111111111..._<136949> = 26594126311_<11> × [4178032013..._<136938>] (0.01%)

Φ₁₃₆₉₅₀(10) = 1000009999..._<32801> = [1000009999..._<32801>] (0.00%)

Φ₁₃₆₉₅₁(10) = 1111111111..._<136951> = 339090677 × 14073084761_<11> × [2328371837..._<136932>] (0.01%)

Φ₁₃₆₉₅₂(10) = 9999000099..._<59904> = 3149897 × 5096788239097_<13> × [6228215485..._<59885>] (0.03%)

Φ₁₃₆₉₅₃(10) = 9990000009..._<91296> = [9990000009..._<91296>] (0.00%)

Φ₁₃₆₉₅₄(10) = 9090909090..._<68476> = 6538462473563751931_<19> × 4476077009813938517609_<22> × [3106233716..._<68436>] (0.06%)

Φ₁₃₆₉₅₅(10) = 9999999000..._<84672> = [9999999000..._<84672>] (0.00%)

Φ₁₃₆₉₅₆(10) = 9901000000..._<44800> = 44510701 × [2224408912..._<44793>] (0.02%)

Φ₁₃₆₉₅₇(10) = 9000000000..._<135900> = 907 × 83136459883_<11> × [1193558458..._<135887>] (0.01%)

Φ₁₃₆₉₅₈(10) = 1000000000..._<64861> = 1024719757_<10> × [9758765683..._<64851>] (0.01%)

Φ₁₃₆₉₅₉(10) = 1109999999..._<89881> = 273919 × 5989217071_<10> × 4188370296883_<13> × [1615420896..._<89853>] (0.03%)

Φ₁₃₆₉₆₀(10) = 1000000000..._<54273> = [1000000000..._<54273>] (0.00%)

Φ₁₃₆₉₆₁(10) = 9000000000..._<124500> = 29077642067_<11> × 91313268311_<11> × [3389607685..._<124479>] (0.02%)

Φ₁₃₆₉₆₂(10) = 9990010000..._<39096> = 115395776780680993339_<21> × [8657171240..._<39076>] (0.05%)

Φ₁₃₆₉₆₃(10) = 1111111111..._<136963> = [1111111111..._<136963>] (0.00%)

Φ₁₃₆₉₆₄(10) = 1009999999..._<67585> = 273929 × 1694198112241_<13> × [2176302035..._<67567>] (0.03%)

Φ₁₃₆₉₆₅(10) = 9009099100..._<69696> = 49576984100551_<14> × [1817193857..._<69683>] (0.02%)

Φ₁₃₆₉₆₆(10) = 9090909090..._<68482> = 410899 × [2212443712..._<68477>] (0.01%)

Φ₁₃₆₉₆₇(10) = 9000000000..._<132216> = 821803 × 28492905057907_<14> × [3843598862..._<132197>] (0.01%)

Φ₁₃₆₉₆₈(10) = 9999000100..._<42048> = 1232713 × 3454423221913_<13> × [2348113320..._<42030>] (0.04%)

Φ₁₃₆₉₆₉(10) = 1111110999..._<110401> = 1894829147_<10> × 11635790489_<11> × [5039546974..._<110381>] (0.02%)

Φ₁₃₆₉₇₀(10) = 1099989000..._<54785> = [1099989000..._<54785>] (0.00%)

Φ₁₃₆₉₇₁(10) = 1000000000..._<85537> = 59719357 × 414805441879_<12> × [4036829730..._<85517>] (0.02%)

Φ₁₃₆₉₇₂(10) = 1000000000..._<62041> = [1000000000..._<62041>] (0.00%)

Φ₁₃₆₉₇₃(10) = 1111111111..._<136973> = 7006579047163_<13> × 356406777486437_<15> × [4449441595..._<136945>] (0.02%)

Φ₁₃₆₉₇₄(10) = 9100000000..._<44352> = 30134281 × 299121625095859_<15> × [1009561422..._<44331>] (0.05%)

Φ₁₃₆₉₇₅(10) = 9999900000..._<109560> = [9999900000..._<109560>] (0.00%)

Φ₁₃₆₉₇₆(10) = 1000000009..._<58657> = [1000000009..._<58657>] (0.00%)

Φ₁₃₆₉₇₇(10) = 9009009009..._<91316> = 109033693 × [8262591829..._<91308>] (0.01%)

Φ₁₃₆₉₇₈(10) = 9090909090..._<68488> = 136979 × 1555933103_<10> × 912256603762489_<15> × [4675686526..._<68459>] (0.04%)

Φ₁₃₆₉₇₉(10) = 1111111111..._<136979> = [1111111111..._<136979>] (0.00%)

Φ_136980L(10) = 9048972901..._<18240> = 23603621306761_<14> × [3833722285..._<18227>] (0.07%)

Φ_136980M(10) = 1105096689..._<18241> = [1105096689..._<18241>] (0.00%)

Φ₁₃₆₉₈₁(10) = 1111111111..._<122881> = [1111111111..._<122881>] (0.00%)

Φ₁₃₆₉₈₂(10) = 9090909090..._<68490> = 23171875121_<11> × 101256957419_<12> × 69088237898743849_<17> × [5608118037..._<68452>] (0.06%)

Φ₁₃₆₉₈₃(10) = 9009009910..._<71040> = 1369831 × 183831187 × [3577592594..._<71026>] (0.02%)

Φ₁₃₆₉₈₄(10) = 9999000099..._<68488> = [9999000099..._<68488>] (0.00%)

Φ₁₃₆₉₈₅(10) = 9000090000..._<109584> = [9000090000..._<109584>] (0.00%)

Φ₁₃₆₉₈₆(10) = 9999999999..._<42432> = 325067779 × [3076281516..._<42424>] (0.02%)

Φ₁₃₆₉₈₇(10) = 1111111111..._<136987> = 1117821280311511_<16> × [9939971001..._<136971>] (0.01%)

Φ₁₃₆₉₈₈(10) = 1009999999..._<65473> = [1009999999..._<65473>] (0.00%)

Φ₁₃₆₉₈₉(10) = 1001000999..._<88201> = 4109671 × 202802625271_<12> × [1201030075..._<88183>] (0.02%)

Φ₁₃₆₉₉₀(10) = 1099988890..._<44065> = 38875601521257691_<17> × [2829509633..._<44048>] (0.04%)

Φ₁₃₆₉₉₁(10) = 1111111111..._<136991> = 65207717 × 7939998361_<10> × 1377637691078111_<16> × [1557769033..._<136958>] (0.02%)

Φ₁₃₆₉₉₂(10) = 1000000000..._<45633> = 136993 × 4657729 × [1567210768..._<45621>] (0.03%)

Φ₁₃₆₉₉₃(10) = 1111111111..._<136993> = [1111111111..._<136993>] (0.00%)

Φ₁₃₆₉₉₄(10) = 9090909091..._<57360> = 410983 × 1726942528169_<13> × [1280871528..._<57343>] (0.03%)

Φ₁₃₆₉₉₅(10) = 1109988900..._<73057> = [1109988900..._<73057>] (0.00%)

Φ₁₃₆₉₉₆(10) = 1009999999..._<66081> = 2465929 × 1181394714018785921_<19> × [3466935662..._<66056>] (0.04%)

Φ₁₃₆₉₉₇(10) = 9000000900..._<117420> = 1575711546613_<13> × [5711705876..._<117408>] (0.01%)

Φ₁₃₆₉₉₈(10) = 9999999990..._<43848> = [9999999990..._<43848>] (0.00%)

Φ₁₃₆₉₉₉(10) = 1111111111..._<136999> = 3835973 × 1177505510435435749826070105283_<31> × [2459908769..._<136962>] (0.03%)

Φ₁₃₇₀₀₀(10) = 1000000000..._<54401> = [1000000000..._<54401>] (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