11.解と恒等式の一覧表


5/p=1/a+1/b+1/c, final (53〜97)

pabc PABC type
5311292170236110n-5711(2n-1)2(303n-157)(2n-1)22(110n-57)(303n-157)A, AB, BP
531129715741110n-5711(2n-1)11(56n-29)(2n-1)11(110n-57)(56n-29)A, AB, BP
5311318349829n-56n-16(29n-5)6(6n-1)(29n-5)B=kP
5311352169610n-72n-12(3n-2)(2n-1)2(10n-7)(3n-2)A, AB, BP
53115835835n-2nn(5n-2)n(5n-2)A=B or B=C
53129157876120n-6712(2n-1)(206n-115)(2n-1)12(120n-67)(206n-115)A, AB, BP
531292731490n-376(3n-1)2(39n-16)(3n-1)6(90n-37)(39n-16)A, AB, BP
531296169640n-274(2n-1)8(3n-2)(2n-1)8(40n-27)(3n-2)A, AB, BP
53121066369n-12n2(9n-1)2n(9n-1)B=kP
531215921214n-33n3(14n-3)n(14n-3)B=kP
5316321696100n-474(5n-1)(15n-7)(5n-1)4(100n-47)(15n-7)A, AB, BP
53192424168190n-13719(2n-1)2(43n-31)(2n-1)38(190n-137)(43n-31)A, AB, BP
5912709501972120n-6112(2n-1)(1442n-733)(2n-1)12(120n-61)(1442n-733)A, AB, BP
5912710251340120n-6112(2n-1)2(722n-367)(2n-1)12(120n-61)(722n-367)A, AB, BP
5912711167796120n-6112(2n-1)3(482n-245)(2n-1)12(120n-61)(482n-245)A, AB, BP
591271212602490n-316(3n-1)(543n-187)(3n-1)6(90n-31)(543n-187)A, AB, BP
591271484252120n-6112(2n-1)6(242n-123)(2n-1)12(120n-61)(242n-123)A, AB, BP
59127166336690n-316(3n-1)2(273n-94)(3n-1)6(90n-31)(273n-94)A, AB, BP
59127175640440n-214(2n-1)(162n-85)(2n-1)4(40n-21)(162n-85)A, AB, BP
59127204248090n-316(3n-1)9(61n-21)(3n-1)18(90n-31)(61n-21)A, AB, BP
59127243203745n-313(3n-2)(138n-95)(3n-2)3(45n-31)(138n-95)A, AB, BP
59127262855640n-214(2n-1)2(82n-43)(2n-1)4(40n-21)(82n-43)A, AB, BP
59127322159490n-316(3n-1)6(93n-32)(3n-1)6(90n-31)(93n-32)A, AB, BP
59127441463240n-214(2n-1)8(21n-11)(2n-1)8(40n-21)(21n-11)A, AB, BP
59127561115145n-313(3n-2)9(16n-11)(3n-2)9(45n-31)(16n-11)A, AB, BP
5912767920464n-513n-113(64n-5)13(13n-1)(64n-5)B=kP
5912780767040n-214(2n-1)4(44n-23)(2n-1)2(40n-21)(44n-23)A, AB, BP
5912826495669n-102(7n-1)14(69n-10)14(7n-1)(69n-10)B=kP
5912852418925n-165n-3(30n-19)(5n-3)(25n-16)(30n-19)A, AB, BP
5912885354074n-153(5n-1)15(74n-15)15(5n-1)(74n-15)B=kP
5912944283279n-204(4n-1)16(79n-20)16(4n-1)(79n-20)B=kP
59121062212489n-306(3n-1)18(89n-30)18(3n-1)(89n-30)B=kP
59121180177099n-404(5n-2)20(99n-40)10(5n-2)(99n-40)B=kP
591212391652104n-453(7n-3)21(104n-45)7(7n-3)(104n-45)B=kP
5912141614165n-1n2n(5n-1)2n(5n-1)A=B or B=C
591312898176130n-7113(2n-1)2(141n-77)(2n-1)26(130n-71)(141n-77)A, AB, BP
59131307670130n-7113(2n-1)26(11n-6)(2n-1)26(130n-71)(11n-6)A, AB, BP
591315670825n-165n-2(5n-3)(5n-2)(25n-16)(5n-3)A, AB, BP
59148470840n-212(4n-1)4(2n-1)(4n-1)4(40n-21)(2n-1)A, AB, BP
5915598854n-1n4n-1n(4n-1)B=kP
59156070845n-313(3n-1)3(3n-2)(3n-1)3(45n-31)(3n-2)A, AB, BP
59164542480160n-10116(2n-1)(122n-77)(2n-1)16(160n-101)(122n-77)A, AB, BP
59164870850n-412(5n-2)(5n-4)(5n-2)2(50n-41)(5n-4)A, AB, BP
591836708120n-616(4n-1)12(2n-1)(4n-1)12(120n-61)(2n-1)A, AB, BP
592030708120n-614(6n-1)6(2n-1)(6n-1)12(120n-61)(2n-1)A, AB, BP
59212711151210n-15121(2n-1)3(32n-23)(2n-1)21(210n-151)(32n-23)A, AB, BP
592128708120n-613(8n-1)4(2n-1)(8n-1)12(120n-61)(2n-1)A, AB, BP
5924247085n-12n2nn(5n-1)A=B or B=C
61149581130140n-7914(2n-1)(218n-123)(2n-1)14(140n-79)(218n-123)A, AB, BP
6114982989105n-447(3n-1)7(12n-5)(3n-1)7(105n-44)(12n-5)A, AB, BP
61141224279n-22n2(9n-2)n(9n-2)B=kP
611566671050n-395(2n-1)2(9n-7)(2n-1)10(50n-39)(9n-7)A, AB, BP
61183810431135n-749(3n-1)(42n-23)(3n-1)9(135n-74)(42n-23)A, AB, BP
61232636478230n-16923(2n-1)2(49n-36)(2n-1)46(230n-169)(49n-36)A, AB, BP
6714313293594140n-7314(2n-1)(654n-341)(2n-1)14(140n-73)(654n-341)A, AB, BP
671431473633105n-387(3n-1)(246n-89)(3n-1)7(105n-38)(246n-89)A, AB, BP
671431542210140n-7314(2n-1)7(94n-49)(2n-1)14(140n-73)(94n-49)A, AB, BP
671432210787105n-387(3n-1)7(36n-13)(3n-1)7(105n-38)(36n-13)A, AB, BP
6714329629820n-132(2n-1)(14n-9)(2n-1)2(20n-13)(14n-9)A, AB, BP
6714335469024n-55n-15(24n-5)5(5n-1)(24n-5)B=kP
6714378180915n-83n-13(2n-1)(3n-1)3(15n-8)(2n-1)A, AB, BP
6714402140729n-202(3n-2)6(29n-20)3(3n-2)(29n-20)B=kP
671446993834n-17n7(34n-1)7n(34n-1)B=kP
671512642210150n-8315(2n-1)6(47n-26)(2n-1)30(150n-83)(47n-26)A, AB, BP
671513420109n-52n-12(9n-5)2(2n-1)(9n-5)B=kP
6715135180930n-233(2n-1)3(4n-3)(2n-1)3(30n-23)(4n-3)A, AB, BP
671520133514n-33n3(14n-3)n(14n-3)B=kP
67176711394n-1n4n-1n(4n-1)B=kP
671854180960n-536(2n-1)2(8n-7)(2n-1)3(60n-53)(8n-7)A, AB, BP
67272718095n-32n-12n-1(2n-1)(5n-3)A=B or B=C
711526794785150n-7915(2n-1)3(188n-99)(2n-1)15(150n-79)(188n-99)A, AB, BP
711527019170150n-7915(2n-1)30(19n-10)(2n-1)30(150n-79)(19n-10)A, AB, BP
7115284426019n-54n-14(19n-5)4(4n-1)(19n-5)B=kP
7115285404730n-193(2n-1)3(8n-5)(2n-1)3(30n-19)(8n-5)A, AB, BP
7115355106524n-15n5(24n-1)5n(24n-1)B=kP
711542671029n-163(2n-1)6(29n-16)2(2n-1)(29n-16)B=kP
7116128908860n-494(3n-2)(27n-22)(3n-2)4(60n-49)(27n-22)A, AB, BP
711614211369n-12n2(9n-1)2n(9n-1)B=kP
71187112784n-1n4n-1n(4n-1)B=kP
7119574047190n-11919(2n-1)19(8n-5)(2n-1)19(190n-119)(8n-5)A, AB, BP
71204969580200n-12920(2n-1)(138n-89)(2n-1)20(200n-129)(138n-89)A, AB, BP
71273019170270n-19927(2n-1)6(19n-14)(2n-1)54(270n-199)(19n-14)A, AB, BP
7315548600060150n-7715(2n-1)2(563n-289)(2n-1)30(150n-77)(563n-289)A, AB, BP
7315549200385150n-7715(2n-1)3(376n-193)(2n-1)15(150n-77)(376n-193)A, AB, BP
7315550120450150n-7715(2n-1)10(113n-58)(2n-1)30(150n-77)(113n-58)A, AB, BP
73155526716050n-275(2n-1)2(63n-34)(2n-1)10(50n-27)(63n-34)A, AB, BP
731555540515150n-7715(2n-1)15(76n-39)(2n-1)15(150n-77)(76n-39)A, AB, BP
73155602452830n-173(2n-1)2(23n-13)(2n-1)6(30n-17)(23n-13)A, AB, BP
73155701387050n-275(2n-1)10(13n-7)(2n-1)10(50n-27)(13n-7)A, AB, BP
7315584876039n-58n-18(39n-5)8(8n-1)(39n-5)B=kP
7315585854130n-173(2n-1)3(16n-9)(2n-1)3(30n-17)(16n-9)A, AB, BP
7315657328544n-153(3n-1)9(44n-15)9(3n-1)(44n-15)B=kP
7315660321210n-72n-12(3n-2)(2n-1)2(10n-7)(3n-2)A, AB, BP
7315730219049n-255(2n-1)10(49n-25)10(2n-1)(49n-25)B=kP
7315876146059n-453(4n-3)12(59n-45)4(4n-3)(59n-45)B=kP
7315109510955n-2nn(5n-2)n(5n-2)A=B or B=C
7316167195056160n-8716(2n-1)(366n-199)(2n-1)16(160n-87)(366n-199)A, AB, BP
731616824528120n-478(3n-1)6(23n-9)(3n-1)24(120n-47)(23n-9)A, AB, BP
7316176321230n-172(3n-1)(9n-5)(3n-1)2(30n-17)(9n-5)A, AB, BP
7318788541135n-629(3n-1)3(24n-11)(3n-1)9(135n-62)(24n-11)A, AB, BP
732055321260n-474(3n-1)(9n-7)(3n-1)4(60n-47)(9n-7)A, AB, BP
73214824528210n-13721(2n-1)6(23n-15)(2n-1)42(210n-137)(23n-15)A, AB, BP
7322443212220n-14722(2n-1)44(3n-2)(2n-1)44(220n-147)(3n-2)A, AB, BP
73234067160230n-15723(2n-1)2(63n-43)(2n-1)46(230n-157)(63n-43)A, AB, BP
791612651598960160n-8116(2n-1)(2562n-1297)(2n-1)16(160n-81)(2562n-1297)A, AB, BP
79161266800112160n-8116(2n-1)2(1282n-649)(2n-1)16(160n-81)(1282n-649)A, AB, BP
79161268400688120n-418(3n-1)(963n-329)(3n-1)8(120n-41)(963n-329)A, AB, BP
79161272200976120n-418(3n-1)6(161n-55)(3n-1)24(120n-41)(161n-55)A, AB, BP
7916128010112060n-414(3n-2)(243n-166)(3n-2)4(60n-41)(243n-166)A, AB, BP
791612965119260n-414(3n-2)6(41n-28)(3n-2)12(60n-41)(41n-28)A, AB, BP
791613282622830n-112(3n-1)(63n-23)(3n-1)2(30n-11)(63n-23)A, AB, BP
791613432148884n-517n-117(84n-5)17(17n-1)(84n-5)B=kP
791613921374630n-112(3n-1)6(11n-4)(3n-1)6(30n-11)(11n-4)A, AB, BP
791614221137689n-102(9n-1)18(89n-10)18(9n-1)(89n-10)B=kP
79161520750515n-113n-2(18n-13)(3n-2)(15n-11)(18n-13)A, AB, BP
79161580632099n-204(5n-1)20(99n-20)20(5n-1)(99n-20)B=kP
791618963792119n-408(3n-1)24(119n-40)24(3n-1)(119n-40)B=kP
7916252825285n-1n2n(5n-1)2n(5n-1)A=B or B=C
7917224300832170n-9117(2n-1)2(241n-129)(2n-1)34(170n-91)(241n-129)A, AB, BP
7917237402914n-53n-13(14n-5)3(3n-1)(14n-5)B=kP
7917272126415n-113n-1(3n-2)(3n-1)(15n-11)(3n-2)A, AB, BP
7918144126450n-212(5n-1)2(5n-2)(5n-1)2(50n-21)(5n-2)A, AB, BP
79181587119n-22n2(9n-2)n(9n-2)B=kP
7919957505190n-11119(2n-1)19(12n-7)(2n-1)19(190n-111)(12n-7)A, AB, BP
792076750575n-715(3n-2)(18n-17)(3n-2)5(75n-71)(18n-17)A, AB, BP
79207915804n-1n4n-1n(4n-1)B=kP
792080126460n-414(3n-1)4(3n-2)(3n-1)4(60n-41)(3n-2)A, AB, BP
7924481264140n-614(7n-1)2(7n-3)(7n-1)4(140n-61)(7n-3)A, AB, BP
79323212645n-12n2nn(5n-1)A=B or B=C
8317706996166170n-8717(2n-1)2(723n-370)(2n-1)34(170n-87)(723n-370)A, AB, BP
831771459262170n-8717(2n-1)34(43n-22)(2n-1)34(170n-87)(43n-22)A, AB, BP
83177471269944n-59n-19(44n-5)9(9n-1)(44n-5)B=kP
8317850415010n-72n-12(3n-2)(2n-1)2(10n-7)(3n-2)A, AB, BP
8317141114115n-2nn(5n-2)n(5n-2)A=B or B=C
831821479929135n-529(3n-1)(174n-67)(3n-1)9(135n-52)(174n-67)A, AB, BP
83182161792860n-376(2n-1)4(13n-8)(2n-1)12(60n-37)(13n-8)A, AB, BP
8318225415020n-172(2n-1)(6n-5)(2n-1)2(20n-17)(6n-5)A, AB, BP
8318249149414n-13n3(14n-1)3n(14n-1)B=kP
831913311039190n-10719(2n-1)19(16n-9)(2n-1)19(190n-107)(16n-9)A, AB, BP
83201004150150n-6710(3n-1)10(9n-4)(3n-1)10(150n-67)(9n-4)A, AB, BP
83218317434n-1n4n-1n(4n-1)B=kP
83245417928240n-15724(2n-1)6(26n-17)(2n-1)24(240n-157)(26n-17)A, AB, BP
832550415075n-675(3n-1)(9n-8)(3n-1)5(75n-67)(9n-8)A, AB, BP
83264624817195n-11213(3n-1)(54n-31)(3n-1)13(195n-112)(54n-31)A, AB, BP
891816032568006180n-9118(2n-1)(3242n-1639)(2n-1)18(180n-91)(3242n-1639)A, AB, BP
891816041284804180n-9118(2n-1)4(811n-410)(2n-1)36(180n-91)(811n-410)A, AB, BP
89181605857070180n-9118(2n-1)3(1082n-547)(2n-1)18(180n-91)(1082n-547)A, AB, BP
89181606643203135n-469(3n-1)(1218n-415)(3n-1)9(135n-46)(1218n-415)A, AB, BP
89181608429336180n-9118(2n-1)12(271n-137)(2n-1)36(180n-91)(271n-137)A, AB, BP
8918161128675860n-316(2n-1)(362n-187)(2n-1)6(60n-31)(362n-187)A, AB, BP
89181614215469135n-469(3n-1)3(408n-139)(3n-1)9(135n-46)(408n-139)A, AB, BP
8918162014418060n-316(2n-1)4(91n-47)(2n-1)12(60n-31)(91n-47)A, AB, BP
891816299665460n-316(2n-1)3(122n-63)(2n-1)6(60n-31)(122n-63)A, AB, BP
891816387289160n-316(2n-1)2(184n-95)(2n-1)3(60n-31)(184n-95)A, AB, BP
891816564912860n-316(2n-1)12(31n-16)(2n-1)12(60n-31)(31n-16)A, AB, BP
891816833328620n-112(2n-1)(42n-23)(2n-1)2(20n-11)(42n-23)A, AB, BP
891816913043894n-519n-119(94n-5)19(19n-1)(94n-5)B=kP
891817102536560n-316(2n-1)6(64n-33)(2n-1)3(60n-31)(64n-33)A, AB, BP
891817641744420n-112(2n-1)4(11n-6)(2n-1)4(20n-11)(11n-6)A, AB, BP
891817801602099n-102(10n-1)20(99n-10)20(10n-1)(99n-10)B=kP
8918186911214104n-153(7n-1)21(104n-15)21(7n-1)(104n-15)B=kP
89181926952320n-112(2n-1)2(24n-13)(2n-1)(20n-11)(24n-13)A, AB, BP
891819588811109n-202(11n-2)22(109n-20)11(11n-2)(109n-20)B=kP
891821366408119n-306(4n-1)24(119n-30)24(4n-1)(119n-30)B=kP
891824034806134n-459(3n-1)27(134n-45)27(3n-1)(134n-45)B=kP
891826704005149n-606(5n-2)30(149n-60)15(5n-2)(149n-60)B=kP
8918320432045n-1n2n(5n-1)2n(5n-1)A=B or B=C
8919282476862190n-10119(2n-1)2(301n-160)(2n-1)38(190n-101)(301n-160)A, AB, BP
891928525365190n-10119(2n-1)19(32n-17)(2n-1)19(190n-101)(32n-17)A, AB, BP
8919342160220n-114n-12(2n-1)(4n-1)2(20n-11)(2n-1)A, AB, BP
8920162144180200n-11120(2n-1)2(182n-101)(2n-1)20(200n-111)(182n-101)A, AB, BP
892017817809n-12n2(9n-1)2n(9n-1)B=kP
8920180160240n-314(2n-1)4(4n-3)(2n-1)2(40n-31)(4n-3)A, AB, BP
892111772891210n-12121(2n-1)3(92n-53)(2n-1)21(210n-121)(92n-53)A, AB, BP
8921126160260n-313(4n-1)6(2n-1)(4n-1)6(60n-31)(2n-1)A, AB, BP
892299160240n-312(4n-1)(4n-3)(4n-1)2(40n-31)(4n-3)A, AB, BP
89246949128240n-15124(2n-1)3(62n-39)(2n-1)24(240n-151)(62n-39)A, AB, BP
8924721602150n-616(5n-1)6(5n-2)(5n-1)6(150n-61)(5n-2)A, AB, BP
892754160275n-613(5n-1)(5n-4)(5n-1)3(75n-61)(5n-4)A, AB, BP
89284917444280n-19128(2n-1)7(22n-15)(2n-1)28(280n-191)(22n-15)A, AB, BP
8930451602180n-916(6n-1)9(2n-1)(6n-1)18(180n-91)(2n-1)A, AB, BP
89363616025n-12n2nn(5n-1)A=B or B=C
97206471255180200n-10320(2n-1)(1334n-687)(2n-1)20(200n-103)(1334n-687)A, AB, BP
9720648314280150n-5310(3n-1)3(167n-59)(3n-1)30(150n-53)(167n-59)A, AB, BP
9720650126100200n-10320(2n-1)10(134n-69)(2n-1)20(200n-103)(134n-69)A, AB, BP
97206527905575n-535(3n-2)(126n-89)(3n-2)5(75n-53)(126n-89)A, AB, BP
97206555082840n-234(2n-1)(54n-31)(2n-1)4(40n-23)(54n-31)A, AB, BP
972066032010150n-5310(3n-1)30(17n-6)(3n-1)30(150n-53)(17n-6)A, AB, BP
97206791358034n-57n-17(34n-5)7(7n-1)(34n-5)B=kP
97206801319230n-232(3n-2)(21n-16)(3n-2)2(30n-23)(21n-16)A, AB, BP
9720776388039n-204(2n-1)8(39n-20)8(2n-1)(39n-20)B=kP
9720780378315n-83n-13(2n-1)(3n-1)3(15n-8)(2n-1)A, AB, BP
9720970194049n-110n10(49n-1)10n(49n-1)B=kP
97201164145559n-214(3n-1)12(59n-21)3(3n-1)(59n-21)B=kP
9721255173145210n-11321(2n-1)3(184n-99)(2n-1)21(210n-113)(184n-99)A, AB, BP
9721273378330n-233(2n-1)3(4n-3)(2n-1)3(30n-23)(4n-3)A, AB, BP
9721291203714n-13n3(14n-1)3n(14n-1)B=kP
972216532010220n-12322(2n-1)11(34n-19)(2n-1)22(220n-123)(34n-19)A, AB, BP
972219410679n-22n2(9n-2)n(9n-2)B=kP
9723124276644230n-13323(2n-1)2(147n-85)(2n-1)46(230n-133)(147n-85)A, AB, BP
97241021319280n-638(2n-1)2(14n-11)(2n-1)8(80n-63)(14n-11)A, AB, BP
9724104378345n-383(3n-1)(6n-5)(3n-1)3(45n-38)(6n-5)A, AB, BP
9726783783195n-9813(3n-1)39(2n-1)(3n-1)39(195n-98)(2n-1)A, AB, BP
97276960237270n-17327(2n-1)3(64n-41)(2n-1)27(270n-173)(64n-41)A, AB, BP
97305532010300n-20330(2n-1)5(34n-23)(2n-1)30(300n-203)(34n-23)A, AB, BP
97393937835n-32n-12n-1(2n-1)(5n-3)A=B or B=C

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三島 久典