11.解と恒等式の一覧表


7/p=1/a+1/b+1/c, final (2〜47)

pabc PABC type
31137n-42n-12n-1(2n-1)(7n-4)A=B or B=C
5131514n-92n-1(8n-5)(2n-1)(14n-9)(8n-5)A, AB, BP
51557n-2nn(7n-2)n(7n-2)A=B or B=C
7236123 61の分割
7244124 41の分割
7333133 31の分割
11288828n-172(2n-1)4(5n-3)(2n-1)4(28n-17)(5n-3)A, AB, BP
11211226n-1n6n-1n(6n-1)B=kP
1322770228n-152(2n-1)(58n-31)(2n-1)2(28n-15)(58n-31)A, AB, BP
1322836428n-152(2n-1)4(15n-8)(2n-1)4(28n-15)(15n-8)A, AB, BP
1323019521n-83n-13(8n-3)(3n-1)3(21n-8)(8n-3)A, AB, BP
132397820n-73n-13(20n-7)3(3n-1)(20n-7)B=kP
13252527n-1n2n(7n-1)2n(7n-1)A=B or B=C
133519542n-293(2n-1)(16n-11)(2n-1)3(42n-29)(16n-11)A, AB, BP
13362628n-154n-12(2n-1)(4n-1)2(28n-15)(2n-1)A, AB, BP
1344267n-12n2nn(7n-1)A=B or B=C
1731366342n-253(2n-1)(32n-19)(2n-1)3(42n-25)(32n-19)A, AB, BP
173158514n-112n-1(4n-3)(2n-1)(14n-11)(4n-3)A, AB, BP
17317516n-1n6n-1n(6n-1)B=kP
1755857n-42n-12n-1(2n-1)(7n-4)A=B or B=C
19329165342n-233(2n-1)(64n-35)(2n-1)3(42n-23)(64n-35)A, AB, BP
1933057042n-233(2n-1)6(11n-6)(2n-1)6(42n-23)(11n-6)A, AB, BP
1933320914n-92n-1(8n-5)(2n-1)(14n-9)(8n-5)A, AB, BP
1933811413n-72n-12(13n-7)2(2n-1)(13n-7)B=kP
19357577n-2nn(7n-2)n(7n-2)A=B or B=C
195657070n-515(2n-1)2(11n-8)(2n-1)10(70n-51)(11n-8)A, AB, BP
2342023042n-192(3n-1)2(9n-4)(3n-1)2(42n-19)(9n-4)A, AB, BP
23423926n-1n6n-1n(6n-1)B=kP
2351023070n-475(2n-1)10(3n-2)(2n-1)10(70n-47)(3n-2)A, AB, BP
2952572570n-415(2n-1)5(12n-7)(2n-1)5(70n-41)(12n-7)A, AB, BP
295291456n-1n6n-1n(6n-1)B=kP
31539604570n-395(2n-1)(88n-49)(2n-1)5(70n-39)(88n-49)A, AB, BP
31540124070n-395(2n-1)10(9n-5)(2n-1)10(70n-39)(9n-5)A, AB, BP
3154527914n-112n-1(4n-3)(2n-1)(14n-11)(4n-3)A, AB, BP
31617316284n-536(2n-1)(46n-29)(2n-1)6(84n-53)(46n-29)A, AB, BP
3161827963n-323(3n-1)9(2n-1)(3n-1)9(63n-32)(2n-1)A, AB, BP
318101240112n-818(2n-1)2(18n-13)(2n-1)8(112n-81)(18n-13)A, AB, BP
31992797n-42n-12n-1(2n-1)(7n-4)A=B or B=C
37645333084n-476(2n-1)3(34n-19)(2n-1)6(84n-47)(34n-19)A, AB, BP
3764859228n-192(2n-1)4(3n-2)(2n-1)4(28n-19)(3n-2)A, AB, BP
3767411113n-22n2(13n-2)n(13n-2)B=kP
3781659284n-474(3n-1)2(9n-5)(3n-1)4(84n-47)(9n-5)A, AB, BP
4162476076284n-436(2n-1)(506n-259)(2n-1)6(84n-43)(506n-259)A, AB, BP
4162483050484n-436(2n-1)4(127n-65)(2n-1)12(84n-43)(127n-65)A, AB, BP
4162492041884n-436(2n-1)3(170n-87)(2n-1)6(84n-43)(170n-87)A, AB, BP
4162501537563n-223(3n-1)(192n-67)(3n-1)3(63n-22)(192n-67)A, AB, BP
4162521033284n-436(2n-1)12(43n-22)(2n-1)12(84n-43)(43n-22)A, AB, BP
416255697028n-152(2n-1)(58n-31)(2n-1)2(28n-15)(58n-31)A, AB, BP
416258528963n-223(3n-1)3(66n-23)(3n-1)3(63n-22)(66n-23)A, AB, BP
416264360828n-152(2n-1)4(15n-8)(2n-1)4(28n-15)(15n-8)A, AB, BP
416282192728n-152(2n-1)2(32n-17)(2n-1)(28n-15)(32n-17)A, AB, BP
416287172248n-77n-17(48n-7)7(7n-1)(48n-7)B=kP
41632898455n-142(4n-1)8(55n-14)8(4n-1)(55n-14)B=kP
41636973862n-213(3n-1)9(62n-21)9(3n-1)(62n-21)B=kP
41641061569n-282(5n-2)10(69n-28)5(5n-2)(69n-28)B=kP
4164924927n-1n2n(7n-1)2n(7n-1)A=B or B=C
417361033298n-577(2n-1)2(43n-25)(2n-1)14(98n-57)(43n-25)A, AB, BP
417412876n-1n6n-1n(6n-1)B=kP
4174224628n-154n-12(2n-1)(4n-1)2(28n-15)(2n-1)A, AB, BP
418223608112n-718(2n-1)2(30n-19)(2n-1)8(112n-71)(30n-19)A, AB, BP
4182424670n-292(5n-1)2(5n-2)(5n-1)2(70n-29)(5n-2)A, AB, BP
4191824684n-433(4n-1)6(2n-1)(4n-1)6(84n-43)(2n-1)A, AB, BP
41101524684n-432(6n-1)3(2n-1)(6n-1)6(84n-43)(2n-1)A, AB, BP
4112122467n-12n2nn(7n-1)A=B or B=C
4310163440140n-9710(2n-1)4(13n-9)(2n-1)20(140n-97)(13n-9)A, AB, BP
4771655428598n-517(2n-1)(344n-179)(2n-1)7(98n-51)(344n-179)A, AB, BP
477168789698n-517(2n-1)14(25n-13)(2n-1)14(98n-51)(25n-13)A, AB, BP
477188131627n-74n-14(27n-7)4(4n-1)(27n-7)B=kP
477189126914n-92n-1(8n-5)(2n-1)(14n-9)(8n-5)A, AB, BP
4773293297n-2nn(7n-2)n(7n-2)A=B or B=C
478427896112n-658(2n-1)2(50n-29)(2n-1)8(112n-65)(50n-29)A, AB, BP
478473766n-1n6n-1n(6n-1)B=kP
47927126942n-373(2n-1)(8n-7)(2n-1)3(42n-37)(8n-7)A, AB, BP


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三島 久典