## 11．解と恒等式の一覧表

### 5/p＝1/a＋1/b＋1/c, final (2〜47)

pabc PABC type
21125n-32n-12n-1(2n-1)(5n-3)A=B or B=C
312610n-72n-12(3n-2)(2n-1)2(10n-7)(3n-2)A, AB, BP
31335n-2nn(5n-2)n(5n-2)A=B or B=C
5236123 6１の分割
5244124 4１の分割
5333133 3１の分割
7257020n-132(2n-1)(14n-9)(2n-1)2(20n-13)(14n-9)A, AB, BP
7262115n-83n-13(2n-1)(3n-1)3(15n-8)(2n-1)A, AB, BP
727144n-1n4n-1n(4n-1)B=kP
733215n-32n-12n-1(2n-1)(5n-3)A=B or B=C
11399930n-193(2n-1)3(8n-5)(2n-1)3(30n-19)(8n-5)A, AB, BP
11311334n-1n4n-1n(4n-1)B=kP
114522040n-294(2n-1)(18n-13)(2n-1)4(40n-29)(18n-13)A, AB, BP
1332078030n-173(2n-1)2(23n-13)(2n-1)6(30n-17)(23n-13)A, AB, BP
1332127330n-173(2n-1)3(16n-9)(2n-1)3(30n-17)(16n-9)A, AB, BP
1332410410n-72n-12(3n-2)(2n-1)2(10n-7)(3n-2)A, AB, BP
13326789n-52n-12(9n-5)2(2n-1)(9n-5)B=kP
13339395n-2nn(5n-2)n(5n-2)A=B or B=C
134810430n-172(3n-1)(9n-5)(3n-1)2(30n-17)(9n-5)A, AB, BP
17423156440n-234(2n-1)(54n-31)(2n-1)4(40n-23)(54n-31)A, AB, BP
1742440830n-132(3n-1)3(7n-3)(3n-1)6(30n-13)(7n-3)A, AB, BP
1742811915n-133n-2(6n-5)(3n-2)(15n-13)(6n-5)A, AB, BP
17434689n-12n2(9n-1)2n(9n-1)B=kP
176840860n-436(2n-1)4(7n-5)(2n-1)12(60n-43)(7n-5)A, AB, BP
17771195n-32n-12n-1(2n-1)(5n-3)A=B or B=C
19477585240n-214(2n-1)(162n-85)(2n-1)4(40n-21)(162n-85)A, AB, BP
19478296440n-214(2n-1)2(82n-43)(2n-1)4(40n-21)(82n-43)A, AB, BP
19480152030n-112(3n-1)(63n-23)(3n-1)2(30n-11)(63n-23)A, AB, BP
1948479830n-112(3n-1)6(11n-4)(3n-1)6(30n-11)(11n-4)A, AB, BP
1949243715n-113n-2(18n-13)(3n-2)(15n-11)(18n-13)A, AB, BP
1949538024n-55n-15(24n-5)5(5n-1)(24n-5)B=kP
19411422829n-102(3n-1)6(29n-10)6(3n-1)(29n-10)B=kP
1941521525n-1n2n(5n-1)2n(5n-1)A=B or B=C
19516152050n-315(2n-1)2(21n-13)(2n-1)10(50n-31)(21n-13)A, AB, BP
19519954n-1n4n-1n(4n-1)B=kP
195207615n-113n-1(3n-2)(3n-1)(15n-11)(3n-2)A, AB, BP
196127640n-212(4n-1)4(2n-1)(4n-1)4(40n-21)(2n-1)A, AB, BP
1988765n-12n2nn(5n-1)A=B or B=C
23558667050n-275(2n-1)2(63n-34)(2n-1)10(50n-27)(63n-34)A, AB, BP
23560138050n-275(2n-1)10(13n-7)(2n-1)10(50n-27)(13n-7)A, AB, BP
2356934514n-53n-13(14n-5)3(3n-1)(14n-5)B=kP
2357032210n-72n-12(3n-2)(2n-1)2(10n-7)(3n-2)A, AB, BP
2351151155n-2nn(5n-2)n(5n-2)A=B or B=C
23620138060n-376(2n-1)4(13n-8)(2n-1)12(60n-37)(13n-8)A, AB, BP
2362132220n-172(2n-1)(6n-5)(2n-1)2(20n-17)(6n-5)A, AB, BP
236231384n-1n4n-1n(4n-1)B=kP
2371432270n-477(2n-1)14(3n-2)(2n-1)14(70n-47)(3n-2)A, AB, BP
2961753045060n-316(2n-1)(362n-187)(2n-1)6(60n-31)(362n-187)A, AB, BP
2961761531260n-316(2n-1)4(91n-47)(2n-1)12(60n-31)(91n-47)A, AB, BP
2961771026660n-316(2n-1)3(122n-63)(2n-1)6(60n-31)(122n-63)A, AB, BP
296178774345n-163(3n-1)(138n-49)(3n-1)3(45n-16)(138n-49)A, AB, BP
296180522060n-316(2n-1)12(31n-16)(2n-1)12(60n-31)(31n-16)A, AB, BP
296183353820n-112(2n-1)(42n-23)(2n-1)2(20n-11)(42n-23)A, AB, BP
296186269745n-163(3n-1)3(48n-17)(3n-1)3(45n-16)(48n-17)A, AB, BP
296192185620n-112(2n-1)4(11n-6)(2n-1)4(20n-11)(11n-6)A, AB, BP
296203121834n-57n-17(34n-5)7(7n-1)(34n-5)B=kP
296210101520n-112(2n-1)2(24n-13)(2n-1)(20n-11)(24n-13)A, AB, BP
29623269639n-102(4n-1)8(39n-10)8(4n-1)(39n-10)B=kP
29626152244n-153(3n-1)9(44n-15)9(3n-1)(44n-15)B=kP
29629043549n-202(5n-2)10(49n-20)5(5n-2)(49n-20)B=kP
2963483485n-1n2n(5n-1)2n(5n-1)A=B or B=C
29734690270n-417(2n-1)2(41n-24)(2n-1)14(70n-41)(41n-24)A, AB, BP
29735101570n-417(2n-1)7(12n-7)(2n-1)7(70n-41)(12n-7)A, AB, BP
2974217420n-114n-12(2n-1)(4n-1)2(20n-11)(2n-1)A, AB, BP
2982417450n-212(5n-1)2(5n-2)(5n-1)2(50n-21)(5n-2)A, AB, BP
2991817460n-313(4n-1)6(2n-1)(4n-1)6(60n-31)(2n-1)A, AB, BP
291014101575n-465(3n-1)(18n-11)(3n-1)5(75n-46)(18n-11)A, AB, BP
29101517460n-312(6n-1)3(2n-1)(6n-1)6(60n-31)(2n-1)A, AB, BP
2912121745n-12n2nn(5n-1)A=B or B=C
31756173670n-397(2n-1)14(9n-5)(2n-1)14(70n-39)(9n-5)A, AB, BP
317624349n-52n-12(9n-5)2(2n-1)(9n-5)B=kP
31828173660n-294(3n-1)(27n-13)(3n-1)4(60n-29)(27n-13)A, AB, BP
318312484n-1n4n-1n(4n-1)B=kP
31920558090n-599(2n-1)2(29n-19)(2n-1)18(90n-59)(29n-19)A, AB, BP
378992930480n-438(2n-1)(214n-115)(2n-1)8(80n-43)(214n-115)A, AB, BP
378100740060n-234(3n-1)(81n-31)(3n-1)4(60n-23)(81n-31)A, AB, BP
378104192430n-232(3n-2)(21n-16)(3n-2)2(30n-23)(21n-16)A, AB, BP
37811188814n-53n-13(14n-5)3(3n-1)(14n-5)B=kP
37812055515n-83n-13(2n-1)(3n-1)3(15n-8)(2n-1)A, AB, BP
37814829619n-14n4(19n-1)4n(19n-1)B=kP
37942466290n-539(2n-1)6(17n-10)(2n-1)18(90n-53)(17n-10)A, AB, BP
3794555530n-233(2n-1)3(4n-3)(2n-1)3(30n-23)(4n-3)A, AB, BP
37103055575n-385(3n-1)15(2n-1)(3n-1)15(75n-38)(2n-1)A, AB, BP
37122055575n-383(5n-1)5(2n-1)(5n-1)15(75n-38)(2n-1)A, AB, BP
3715155555n-32n-12n-1(2n-1)(5n-3)A=B or B=C
419931143990n-499(2n-1)3(68n-37)(2n-1)9(90n-49)(68n-37)A, AB, BP
41999135330n-193(2n-1)3(8n-5)(2n-1)3(30n-19)(8n-5)A, AB, BP
41912336914n-13n3(14n-1)3n(14n-1)B=kP
411046471575n-345(3n-1)(42n-19)(3n-1)5(75n-34)(42n-19)A, AB, BP
4111331353110n-6911(2n-1)11(8n-5)(2n-1)11(110n-69)(8n-5)A, AB, BP
4112266396120n-7912(2n-1)2(38n-25)(2n-1)12(120n-79)(38n-25)A, AB, BP
4391947507890n-479(2n-1)2(203n-106)(2n-1)18(90n-47)(203n-106)A, AB, BP
4391952515590n-479(2n-1)3(136n-71)(2n-1)9(90n-47)(136n-71)A, AB, BP
439198851430n-173(2n-1)2(23n-13)(2n-1)6(30n-17)(23n-13)A, AB, BP
439207296730n-173(2n-1)3(16n-9)(2n-1)3(30n-17)(16n-9)A, AB, BP
439215193524n-55n-15(24n-5)5(5n-1)(24n-5)B=kP
439234111810n-72n-12(3n-2)(2n-1)2(10n-7)(3n-2)A, AB, BP
43925877429n-153(2n-1)6(29n-15)6(2n-1)(29n-15)B=kP
4393873875n-2nn(5n-2)n(5n-2)A=B or B=C
431062666575n-325(3n-1)(54n-23)(3n-1)5(75n-32)(54n-23)A, AB, BP
431065111820n-172(2n-1)(6n-5)(2n-1)2(20n-17)(6n-5)A, AB, BP
4310862159n-22n2(9n-2)n(9n-2)B=kP
4311434734n-1n4n-1n(4n-1)B=kP
4313261118130n-8713(2n-1)26(3n-2)(2n-1)26(130n-87)(3n-2)A, AB, BP
471015773790100n-5310(2n-1)(334n-177)(2n-1)10(100n-53)(334n-177)A, AB, BP
47101581856575n-285(3n-1)(126n-47)(3n-1)5(75n-28)(126n-47)A, AB, BP
47101607520100n-5310(2n-1)20(17n-9)(2n-1)20(100n-53)(17n-9)A, AB, BP
4710165310220n-132(2n-1)(14n-9)(2n-1)2(20n-13)(14n-9)A, AB, BP
471018894019n-102(2n-1)4(19n-10)4(2n-1)(19n-10)B=kP
471019089315n-133n-2(6n-5)(3n-2)(15n-13)(6n-5)A, AB, BP
471023547024n-15n5(24n-1)5n(24n-1)B=kP
4711663102110n-6311(2n-1)22(7n-4)(2n-1)22(110n-63)(7n-4)A, AB, BP
471244310290n-436(3n-1)2(21n-10)(3n-1)6(90n-43)(21n-10)A, AB, BP
4712475644n-1n4n-1n(4n-1)B=kP
47133420774130n-8313(2n-1)2(47n-30)(2n-1)26(130n-83)(47n-30)A, AB, BP
4719198935n-32n-12n-1(2n-1)(5n-3)A=B or B=C

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