11.解と恒等式の一覧表


6/p=1/a+1/b+1/c, final (53〜97)

pabc PABC type
539478228006108n-559(2n-1)2(487n-248)(2n-1)18(108n-55)(487n-248)A, AB, BP
53948076320108n-559(2n-1)6(163n-83)(2n-1)18(108n-55)(163n-83)A, AB, BP
5394862575836n-193(2n-1)2(55n-29)(2n-1)6(36n-19)(55n-29)A, AB, BP
539504890436n-193(2n-1)6(19n-10)(2n-1)6(36n-19)(19n-10)A, AB, BP
539530477059n-610n-110(59n-6)10(10n-1)(59n-6)B=kP
539558328612n-72n-12(7n-4)(2n-1)2(12n-7)(7n-4)A, AB, BP
539636190871n-183(4n-1)12(71n-18)12(4n-1)(71n-18)B=kP
5399549546n-1n2n(6n-1)2n(6n-1)A=B or B=C
53107620140120n-6710(2n-1)4(43n-24)(2n-1)20(120n-67)(43n-24)A, AB, BP
53109047724n-192(2n-1)2(4n-3)(2n-1)(24n-19)(4n-3)A, AB, BP
531010626511n-22n2(11n-2)n(11n-2)B=kP
53123647790n-373(5n-1)3(5n-2)(5n-1)3(90n-37)(5n-2)A, AB, BP
5314248904168n-11514(2n-1)4(19n-13)(2n-1)28(168n-115)(19n-13)A, AB, BP
5318184776n-12n2nn(6n-1)A=B or B=C
5910591348690120n-6110(2n-1)(1202n-611)(2n-1)10(120n-61)(1202n-611)A, AB, BP
5910592174640120n-6110(2n-1)4(301n-153)(2n-1)20(120n-61)(301n-153)A, AB, BP
59105948761590n-315(3n-1)3(151n-52)(3n-1)15(90n-31)(151n-52)A, AB, BP
591059570210120n-6110(2n-1)5(242n-123)(2n-1)10(120n-61)(242n-123)A, AB, BP
591060035400120n-6110(2n-1)20(61n-31)(2n-1)20(120n-61)(61n-31)A, AB, BP
59106101799590n-315(3n-1)5(93n-32)(3n-1)5(90n-31)(93n-32)A, AB, BP
59106151451424n-132(2n-1)(50n-27)(2n-1)2(24n-13)(50n-27)A, AB, BP
5910640755224n-132(2n-1)4(13n-7)(2n-1)4(24n-13)(13n-7)A, AB, BP
5910649649065n-611n-111(65n-6)11(11n-1)(65n-6)B=kP
5910690407118n-133n-23(7n-5)(3n-2)3(18n-13)(7n-5)A, AB, BP
5910708354071n-122(6n-1)12(71n-12)12(6n-1)(71n-12)B=kP
5910826206583n-242(7n-2)14(83n-24)7(7n-2)(83n-24)B=kP
5910885177089n-305(3n-1)15(89n-30)15(3n-1)(89n-30)B=kP
5910118011806n-1n2n(6n-1)2n(6n-1)A=B or B=C
591111059018n-133n-1(3n-2)(3n-1)(18n-13)(3n-2)A, AB, BP
5912597085n-1n5n-1n(5n-1)B=kP
59126059048n-374(2n-1)4(4n-3)(2n-1)2(48n-37)(4n-3)A, AB, BP
59143559048n-372(4n-1)(4n-3)(4n-1)2(48n-37)(4n-3)A, AB, BP
591530590120n-615(4n-1)10(2n-1)(4n-1)10(120n-61)(2n-1)A, AB, BP
5920205906n-12n2nn(6n-1)A=B or B=C
611268311154n-473(3n-2)(15n-13)(3n-2)3(54n-47)(15n-13)A, AB, BP
6116286832144n-838(3n-1)(33n-19)(3n-1)8(144n-83)(33n-19)A, AB, BP
6712161129444144n-7712(2n-1)(346n-185)(2n-1)12(144n-77)(346n-185)A, AB, BP
671216221708144n-7712(2n-1)6(58n-31)(2n-1)12(144n-77)(58n-31)A, AB, BP
6712164824154n-413(3n-2)(33n-25)(3n-2)3(54n-41)(33n-25)A, AB, BP
6712168375248n-294(2n-1)8(5n-3)(2n-1)8(48n-29)(5n-3)A, AB, BP
671220180417n-13n3(17n-1)3n(17n-1)B=kP
671226840223n-24n4(23n-2)2n(23n-2)B=kP
6714563752168n-10114(2n-1)28(5n-3)(2n-1)28(168n-101)(5n-3)A, AB, BP
67163739664192n-12516(2n-1)(106n-69)(2n-1)16(192n-125)(106n-69)A, AB, BP
6721243752168n-1017(4n-1)4(5n-3)(4n-1)28(168n-101)(5n-3)A, AB, BP
7112853726756144n-7312(2n-1)(1730n-877)(2n-1)12(144n-73)(1730n-877)A, AB, BP
7112854363804144n-7312(2n-1)2(866n-439)(2n-1)12(144n-73)(866n-439)A, AB, BP
7112855242820144n-7312(2n-1)3(578n-293)(2n-1)12(144n-73)(578n-293)A, AB, BP
7112856182328108n-376(3n-1)(651n-223)(3n-1)6(108n-37)(651n-223)A, AB, BP
7112858121836144n-7312(2n-1)6(290n-147)(2n-1)12(144n-73)(290n-147)A, AB, BP
711286091590108n-376(3n-1)2(327n-112)(3n-1)6(108n-37)(327n-112)A, AB, BP
71128618150848n-254(2n-1)(194n-101)(2n-1)4(48n-25)(194n-101)A, AB, BP
711286461344108n-376(3n-1)9(73n-25)(3n-1)18(108n-37)(73n-25)A, AB, BP
71128684622154n-373(3n-2)(165n-113)(3n-2)3(54n-37)(165n-113)A, AB, BP
71128704118048n-254(2n-1)2(98n-51)(2n-1)4(48n-25)(98n-51)A, AB, BP
711287631098108n-376(3n-1)6(111n-38)(3n-1)6(108n-37)(111n-38)A, AB, BP
71128882101648n-254(2n-1)8(25n-13)(2n-1)8(48n-25)(25n-13)A, AB, BP
71129001597554n-373(3n-2)9(19n-13)(3n-2)9(54n-37)(19n-13)A, AB, BP
71129231107677n-613n-113(77n-6)13(13n-1)(77n-6)B=kP
71129241093448n-254(2n-1)4(52n-27)(2n-1)2(48n-25)(52n-27)A, AB, BP
7112994596483n-122(7n-1)14(83n-12)14(7n-1)(83n-12)B=kP
7112996589330n-195n-3(35n-22)(5n-3)(30n-19)(35n-22)A, AB, BP
71121065426089n-183(5n-1)15(89n-18)15(5n-1)(89n-18)B=kP
71121136340895n-244(4n-1)16(95n-24)16(4n-1)(95n-24)B=kP
711212782556107n-366(3n-1)18(107n-36)18(3n-1)(107n-36)B=kP
711214202130119n-484(5n-2)20(119n-48)10(5n-2)(119n-48)B=kP
711214911988125n-543(7n-3)21(125n-54)7(7n-3)(125n-54)B=kP
7112170417046n-1n2n(6n-1)2n(6n-1)A=B or B=C
7113132121836156n-8513(2n-1)2(145n-79)(2n-1)26(156n-85)(145n-79)A, AB, BP
7113142184611n-62n-12(11n-6)2(2n-1)(11n-6)B=kP
711315685230n-195n-2(5n-3)(5n-2)(30n-19)(5n-3)A, AB, BP
71147710934168n-9714(2n-1)7(26n-15)(2n-1)14(168n-97)(26n-15)A, AB, BP
71148485248n-252(4n-1)4(2n-1)(4n-1)4(48n-25)(2n-1)A, AB, BP
71156085254n-373(3n-1)3(3n-2)(3n-1)3(54n-37)(3n-2)A, AB, BP
71164885260n-492(5n-2)(5n-4)(5n-2)2(60n-49)(5n-4)A, AB, BP
711836852144n-736(4n-1)12(2n-1)(4n-1)12(144n-73)(2n-1)A, AB, BP
71202941180240n-16920(2n-1)(98n-69)(2n-1)20(240n-169)(98n-69)A, AB, BP
712030852144n-734(6n-1)6(2n-1)(6n-1)12(144n-73)(2n-1)A, AB, BP
712128852144n-733(8n-1)4(2n-1)(8n-1)12(144n-73)(2n-1)A, AB, BP
7124248526n-12n2nn(6n-1)A=B or B=C
7313190180310156n-8313(2n-1)2(203n-108)(2n-1)26(156n-83)(203n-108)A, AB, BP
73149395046168n-9514(2n-1)(214n-121)(2n-1)14(168n-95)(214n-121)A, AB, BP
791422261383126n-477(3n-1)3(59n-22)(3n-1)21(126n-47)(59n-22)A, AB, BP
791422417696168n-8914(2n-1)28(17n-9)(2n-1)28(168n-89)(17n-9)A, AB, BP
7914231521424n-172(2n-1)(10n-7)(2n-1)2(24n-17)(10n-7)A, AB, BP
7914237331817n-63n-13(17n-6)3(3n-1)(17n-6)B=kP
791510842660180n-10115(2n-1)6(41n-23)(2n-1)30(180n-101)(41n-23)A, AB, BP
7915110521436n-293(2n-1)2(5n-4)(2n-1)6(36n-29)(5n-4)A, AB, BP
79167912645n-1n5n-1n(5n-1)B=kP
7922335214264n-18522(2n-1)11(10n-7)(2n-1)22(264n-185)(10n-7)A, AB, BP
831411631351406168n-8514(2n-1)(2354n-1191)(2n-1)14(168n-85)(2354n-1191)A, AB, BP
83141164676284168n-8514(2n-1)4(589n-298)(2n-1)28(168n-85)(589n-298)A, AB, BP
83141166338723126n-437(3n-1)(885n-302)(3n-1)7(126n-43)(885n-302)A, AB, BP
83141169194054168n-8514(2n-1)7(338n-171)(2n-1)14(168n-85)(338n-171)A, AB, BP
8314117697608168n-8514(2n-1)28(85n-43)(2n-1)28(168n-85)(85n-43)A, AB, BP
8314119049385126n-437(3n-1)7(129n-44)(3n-1)7(126n-43)(129n-44)A, AB, BP
831412112871824n-132(2n-1)(50n-27)(2n-1)2(24n-13)(50n-27)A, AB, BP
831412451743089n-615n-115(89n-6)15(15n-1)(89n-6)B=kP
831412601494024n-132(2n-1)4(13n-7)(2n-1)4(24n-13)(13n-7)A, AB, BP
83141328929695n-122(8n-1)16(95n-12)16(8n-1)(95n-12)B=kP
83141358805118n-73n-1(21n-8)(3n-1)(18n-7)(21n-8)A, AB, BP
831414945229107n-242(9n-2)18(107n-24)9(9n-2)(107n-24)B=kP
831417433486125n-427(3n-1)21(125n-42)21(3n-1)(125n-42)B=kP
8314232423246n-1n2n(6n-1)2n(6n-1)A=B or B=C
8315178221610180n-9715(2n-1)2(193n-104)(2n-1)30(180n-97)(193n-104)A, AB, BP
831518014940180n-9715(2n-1)30(13n-7)(2n-1)30(180n-97)(13n-7)A, AB, BP
8315210116224n-134n-12(2n-1)(4n-1)2(24n-13)(2n-1)A, AB, BP
8316112116236n-252(3n-1)2(3n-2)(3n-1)2(36n-25)(3n-2)A, AB, BP
83186014940216n-13318(2n-1)12(13n-8)(2n-1)36(216n-133)(13n-8)A, AB, BP
831863116260n-372(5n-1)(5n-3)(5n-1)2(60n-37)(5n-3)A, AB, BP
83204514940240n-15720(2n-1)5(26n-17)(2n-1)20(240n-157)(26n-17)A, AB, BP
8321421162168n-857(4n-1)14(2n-1)(4n-1)14(168n-85)(2n-1)A, AB, BP
83282811626n-12n2nn(6n-1)A=B or B=C
891513361783560180n-9115(2n-1)2(1351n-683)(2n-1)30(180n-91)(1351n-683)A, AB, BP
89151338595410180n-9115(2n-1)6(451n-228)(2n-1)30(180n-91)(451n-228)A, AB, BP
89151340357780180n-9115(2n-1)10(271n-137)(2n-1)30(180n-91)(271n-137)A, AB, BP
8915134419936060n-315(2n-1)2(151n-78)(2n-1)10(60n-31)(151n-78)A, AB, BP
89151350120150180n-9115(2n-1)30(91n-46)(2n-1)30(180n-91)(91n-46)A, AB, BP
891513607262436n-193(2n-1)2(55n-29)(2n-1)6(36n-19)(55n-29)A, AB, BP
891513804094060n-315(2n-1)10(31n-16)(2n-1)10(60n-31)(31n-16)A, AB, BP
891514102509836n-193(2n-1)6(19n-10)(2n-1)6(36n-19)(19n-10)A, AB, BP
891514242136095n-616n-116(95n-6)16(16n-1)(95n-6)B=kP
89151560925612n-72n-12(7n-4)(2n-1)2(12n-7)(7n-4)A, AB, BP
891516028010107n-183(6n-1)18(107n-18)18(6n-1)(107n-18)B=kP
891517805340119n-305(4n-1)20(119n-30)20(4n-1)(119n-30)B=kP
891521363560143n-543(8n-3)24(143n-54)8(8n-3)(143n-54)B=kP
8915267026706n-1n2n(6n-1)2n(6n-1)A=B or B=C
891620472624144n-558(3n-1)3(55n-21)(3n-1)24(144n-55)(55n-21)A, AB, BP
8916208925672n-554(3n-2)2(21n-16)(3n-2)4(72n-55)(21n-16)A, AB, BP
8916240133536n-192(3n-1)6(2n-1)(3n-1)3(36n-19)(2n-1)A, AB, BP
89188916025n-1n5n-1n(5n-1)B=kP
891890133572n-556(2n-1)6(4n-3)(2n-1)3(72n-55)(4n-3)A, AB, BP
8920601335150n-615(5n-1)5(5n-2)(5n-1)5(150n-61)(5n-2)A, AB, BP
8924399256192n-1038(4n-1)(28n-15)(4n-1)8(192n-103)(28n-15)A, AB, BP
8924401335162n-733(9n-1)(9n-4)(9n-1)3(162n-73)(9n-4)A, AB, BP
89303013356n-12n2nn(6n-1)A=B or B=C
9717330544170204n-10717(2n-1)2(347n-182)(2n-1)34(204n-107)(347n-182)A, AB, BP
971815992538216n-11918(2n-1)3(118n-65)(2n-1)18(216n-119)(118n-65)A, AB, BP
9718162785772n-476(2n-1)2(20n-13)(2n-1)3(72n-47)(20n-13)A, AB, BP
971819487311n-22n2(11n-2)n(11n-2)B=kP
972261130174264n-16722(2n-1)(166n-105)(2n-1)22(264n-167)(166n-105)A, AB, BP

この章の目次

E-mail : kc2h-msm@asahi-net.or.jp
三島 久典