11.解と恒等式の一覧表


7/p=1/a+1/b+1/c, final (53〜97)

pabc PABC type
53814230104112n-598(2n-1)2(150n-79)(2n-1)8(112n-59)(150n-79)A, AB, BP
538144763284n-314(3n-1)6(19n-7)(3n-1)12(84n-31)(19n-7)A, AB, BP
538152201442n-312(3n-2)2(15n-11)(3n-2)2(42n-31)(15n-11)A, AB, BP
538159127220n-73n-13(20n-7)3(3n-1)(20n-7)B=kP
53821242427n-14n4(27n-1)4n(27n-1)B=kP
539487632126n-739(2n-1)6(19n-11)(2n-1)18(126n-73)(19n-11)A, AB, BP
539534776n-1n6n-1n(6n-1)B=kP
59913370623126n-679(2n-1)(284n-151)(2n-1)9(126n-67)(284n-151)A, AB, BP
599135796542n-253(2n-1)(32n-19)(2n-1)3(42n-25)(32n-19)A, AB, BP
599153100314n-112n-1(4n-3)(2n-1)(14n-11)(4n-3)A, AB, BP
59917753120n-13n3(20n-1)3n(20n-1)B=kP
5910547965105n-465(3n-1)3(16n-7)(3n-1)15(105n-46)(16n-7)A, AB, BP
5910595906n-1n6n-1n(6n-1)B=kP
59132418408182n-12313(2n-1)2(37n-25)(2n-1)26(182n-123)(37n-25)A, AB, BP
59171710037n-42n-12n-1(2n-1)(7n-4)A=B or B=C
619275150975126n-659(2n-1)(568n-293)(2n-1)9(126n-65)(568n-293)A, AB, BP
61927650508126n-659(2n-1)6(95n-49)(2n-1)18(126n-65)(95n-49)A, AB, BP
6192791701942n-233(2n-1)(64n-35)(2n-1)3(42n-23)(64n-35)A, AB, BP
619288585642n-233(2n-1)6(11n-6)(2n-1)6(42n-23)(11n-6)A, AB, BP
619305274534n-75n-15(34n-7)5(5n-1)(34n-7)B=kP
619315213514n-92n-1(8n-5)(2n-1)(14n-9)(8n-5)A, AB, BP
619366109841n-213(2n-1)6(41n-21)6(2n-1)(41n-21)B=kP
6195495497n-2nn(7n-2)n(7n-2)A=B or B=C
61106820740140n-7910(2n-1)4(39n-22)(2n-1)20(140n-79)(39n-22)A, AB, BP
6110702135105n-445(3n-1)5(12n-5)(3n-1)5(105n-44)(12n-5)A, AB, BP
61114228182154n-9311(2n-1)2(53n-32)(2n-1)22(154n-93)(53n-32)A, AB, BP
6112325856126n-656(3n-1)(33n-17)(3n-1)6(126n-65)(33n-17)A, AB, BP
6115212135140n-795(4n-1)(16n-9)(4n-1)5(140n-79)(16n-9)A, AB, BP
671022475040140n-7310(2n-1)4(117n-61)(2n-1)20(140n-73)(117n-61)A, AB, BP
671022530150140n-7310(2n-1)5(94n-49)(2n-1)10(140n-73)(94n-49)A, AB, BP
67102307705105n-385(3n-1)5(36n-13)(3n-1)5(105n-38)(36n-13)A, AB, BP
6710240321628n-172(2n-1)4(5n-3)(2n-1)4(28n-17)(5n-3)A, AB, BP
6710268134027n-142(2n-1)4(27n-14)4(2n-1)(27n-14)B=kP
671033567034n-15n5(34n-1)5n(34n-1)B=kP
6712483216126n-596(3n-1)3(15n-7)(3n-1)6(126n-59)(15n-7)A, AB, BP
6716243216168n-1018(3n-1)6(5n-3)(3n-1)24(168n-101)(5n-3)A, AB, BP
71111329372154n-8311(2n-1)22(13n-7)(2n-1)22(154n-83)(13n-7)A, AB, BP
7111142156213n-72n-12(13n-7)2(2n-1)(13n-7)B=kP
7112669372168n-9712(2n-1)6(26n-15)(2n-1)12(168n-97)(26n-15)A, AB, BP
7112718526n-1n6n-1n(6n-1)B=kP
7311201161403154n-8111(2n-1)(424n-223)(2n-1)11(154n-81)(424n-223)A, AB, BP
7311219240920n-73n-13(20n-7)3(3n-1)(20n-7)B=kP
7311231153314n-112n-1(4n-3)(2n-1)(14n-11)(4n-3)A, AB, BP
73128017520126n-536(3n-1)(69n-29)(3n-1)6(126n-53)(69n-29)A, AB, BP
731284153363n-533(3n-2)3(6n-5)(3n-2)3(63n-53)(6n-5)A, AB, BP
7314421533147n-747(3n-1)21(2n-1)(3n-1)21(147n-74)(2n-1)A, AB, BP
731535153363n-533(3n-1)(6n-5)(3n-1)3(63n-53)(6n-5)A, AB, BP
73163017520224n-15116(2n-1)2(46n-31)(2n-1)16(224n-151)(46n-31)A, AB, BP
73172733507238n-16517(2n-1)(88n-61)(2n-1)17(238n-165)(88n-61)A, AB, BP
73212115337n-42n-12n-1(2n-1)(7n-4)A=B or B=C
791219090060168n-8912(2n-1)2(202n-107)(2n-1)12(168n-89)(202n-107)A, AB, BP
791219215168126n-476(3n-1)3(51n-19)(3n-1)6(126n-47)(51n-19)A, AB, BP
7912204268656n-334(2n-1)4(12n-7)(2n-1)2(56n-33)(12n-7)A, AB, BP
791223794820n-13n3(20n-1)3n(20n-1)B=kP
791231647427n-24n4(27n-2)2n(27n-2)B=kP
7917342686238n-15917(2n-1)34(3n-2)(2n-1)34(238n-159)(3n-2)A, AB, BP
8312997993012168n-8512(2n-1)(2018n-1021)(2n-1)12(168n-85)(2018n-1021)A, AB, BP
8312998497004168n-8512(2n-1)2(1010n-511)(2n-1)12(168n-85)(1010n-511)A, AB, BP
8312999331668168n-8512(2n-1)3(674n-341)(2n-1)12(168n-85)(674n-341)A, AB, BP
83121000249000126n-436(3n-1)(759n-259)(3n-1)6(126n-43)(759n-259)A, AB, BP
83121002166332168n-8512(2n-1)6(338n-171)(2n-1)12(168n-85)(338n-171)A, AB, BP
83121004124998126n-436(3n-1)2(381n-130)(3n-1)6(126n-43)(381n-130)A, AB, BP
8312100511122056n-294(2n-1)(226n-117)(2n-1)4(56n-29)(226n-117)A, AB, BP
8312100883664126n-436(3n-1)9(85n-29)(3n-1)18(126n-43)(85n-29)A, AB, BP
831210126299763n-433(3n-2)(192n-131)(3n-2)3(63n-43)(192n-131)A, AB, BP
831210145610856n-294(2n-1)2(114n-59)(2n-1)4(56n-29)(114n-59)A, AB, BP
8312102042330126n-436(3n-1)6(129n-44)(3n-1)6(126n-43)(129n-44)A, AB, BP
831210322855256n-294(2n-1)8(29n-15)(2n-1)8(56n-29)(29n-15)A, AB, BP
831210442166363n-433(3n-2)9(22n-15)(3n-2)9(63n-43)(22n-15)A, AB, BP
831210681477456n-294(2n-1)4(60n-31)(2n-1)2(56n-29)(60n-31)A, AB, BP
831210791294890n-713n-113(90n-7)13(13n-1)(90n-7)B=kP
83121140788535n-225n-35(8n-5)(5n-3)5(35n-22)(8n-5)A, AB, BP
83121162697297n-142(7n-1)14(97n-14)14(7n-1)(97n-14)B=kP
831212454980104n-213(5n-1)15(104n-21)15(5n-1)(104n-21)B=kP
831213283984111n-284(4n-1)16(111n-28)16(4n-1)(111n-28)B=kP
831214942988125n-426(3n-1)18(125n-42)18(3n-1)(125n-42)B=kP
831216602490139n-564(5n-2)20(139n-56)10(5n-2)(139n-56)B=kP
831217432324146n-633(7n-3)21(146n-63)7(7n-3)(146n-63)B=kP
8312199219927n-1n2n(7n-1)2n(7n-1)A=B or B=C
8313135145665182n-9913(2n-1)(296n-161)(2n-1)13(182n-99)(296n-161)A, AB, BP
831315699635n-225n-2(5n-3)(5n-2)(35n-22)(5n-3)A, AB, BP
83148311626n-1n6n-1n(6n-1)B=kP
83148499656n-292(4n-1)4(2n-1)(4n-1)4(56n-29)(2n-1)A, AB, BP
831557788570n-575(2n-1)(16n-13)(2n-1)5(70n-57)(16n-13)A, AB, BP
83156099663n-433(3n-1)3(3n-2)(3n-1)3(63n-43)(3n-2)A, AB, BP
83164899670n-572(5n-2)(5n-4)(5n-2)2(70n-57)(5n-4)A, AB, BP
831836996168n-856(4n-1)12(2n-1)(4n-1)12(168n-85)(2n-1)A, AB, BP
832030996168n-854(6n-1)6(2n-1)(6n-1)12(168n-85)(2n-1)A, AB, BP
832128996168n-853(8n-1)4(2n-1)(8n-1)12(168n-85)(2n-1)A, AB, BP
8324249967n-12n2nn(7n-1)A=B or B=C
8913579669903182n-9313(2n-1)(1184n-605)(2n-1)13(182n-93)(1184n-605)A, AB, BP
891358552065182n-9313(2n-1)13(92n-47)(2n-1)13(182n-93)(92n-47)A, AB, BP
8913623809948n-77n-17(48n-7)7(7n-1)(48n-7)B=kP
8913663453914n-92n-1(8n-5)(2n-1)(14n-9)(8n-5)A, AB, BP
8913115711577n-2nn(7n-2)n(7n-2)A=B or B=C
891414012460196n-10714(2n-1)28(11n-6)(2n-1)28(196n-107)(11n-6)A, AB, BP
891417862313n-22n2(13n-2)n(13n-2)B=kP
8915841246070n-515(2n-1)2(11n-8)(2n-1)10(70n-51)(11n-8)A, AB, BP
891585453942n-373(2n-1)(8n-7)(2n-1)3(42n-37)(8n-7)A, AB, BP
89158913356n-1n6n-1n(6n-1)B=kP
89166244144224n-13516(2n-1)2(78n-47)(2n-1)16(224n-135)(78n-47)A, AB, BP
8917514539238n-14917(2n-1)17(8n-5)(2n-1)17(238n-149)(8n-5)A, AB, BP
89203512460280n-19120(2n-1)5(22n-15)(2n-1)20(280n-191)(22n-15)A, AB, BP
971413591845522196n-9914(2n-1)(2746n-1387)(2n-1)14(196n-99)(2746n-1387)A, AB, BP
97141360923440196n-9914(2n-1)4(687n-347)(2n-1)28(196n-99)(687n-347)A, AB, BP
97141362462399147n-507(3n-1)3(344n-117)(3n-1)21(147n-50)(344n-117)A, AB, BP
97141365264810196n-9914(2n-1)7(394n-199)(2n-1)14(196n-99)(394n-199)A, AB, BP
97141372133084196n-9914(2n-1)28(99n-50)(2n-1)28(196n-99)(99n-50)A, AB, BP
9714138667221147n-507(3n-1)21(50n-17)(3n-1)21(147n-50)(50n-17)A, AB, BP
971414073899428n-152(2n-1)(58n-31)(2n-1)2(28n-15)(58n-31)A, AB, BP
9714145520370104n-715n-115(104n-7)15(15n-1)(104n-7)B=kP
971414562017628n-152(2n-1)4(15n-8)(2n-1)4(28n-15)(15n-8)A, AB, BP
9714155210864111n-142(8n-1)16(111n-14)16(8n-1)(111n-14)B=kP
971415541076721n-83n-13(8n-3)(3n-1)3(21n-8)(8n-3)A, AB, BP
971417466111125n-282(9n-2)18(125n-28)9(9n-2)(125n-28)B=kP
971420374074146n-497(3n-1)21(146n-49)21(3n-1)(146n-49)B=kP
9714271627167n-1n2n(7n-1)2n(7n-1)A=B or B=C
9715182264810210n-11315(2n-1)2(197n-106)(2n-1)30(210n-113)(197n-106)A, AB, BP
97151832958570n-435(2n-1)(44n-27)(2n-1)5(70n-43)(44n-27)A, AB, BP
97151851076742n-293(2n-1)(16n-11)(2n-1)3(42n-29)(16n-11)A, AB, BP
9715194291013n-72n-12(13n-7)2(2n-1)(13n-7)B=kP
9715210135828n-154n-12(2n-1)(4n-1)2(28n-15)(2n-1)A, AB, BP
971529148520n-33n3(20n-3)n(20n-3)B=kP
971610420176168n-718(3n-1)2(45n-19)(3n-1)8(168n-71)(45n-19)A, AB, BP
9716112135842n-292(3n-1)2(3n-2)(3n-1)2(42n-29)(3n-2)A, AB, BP
971775123675238n-14117(2n-1)(184n-109)(2n-1)17(238n-141)(184n-109)A, AB, BP
971863135870n-432(5n-1)(5n-3)(5n-1)2(70n-43)(5n-3)A, AB, BP
9721421358196n-997(4n-1)14(2n-1)(4n-1)14(196n-99)(2n-1)A, AB, BP
97282813587n-12n2nn(7n-1)A=B or B=C

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三島 久典