6.b=kpとなる解を含むような恒等式の一覧表


7/p = 1/a + 1/b + 1/c, b=kp

pabc PABC
51556n-1n6n-1n(6n-1)
11211226n-1n6n-1n(6n-1)
132397820n-73n-13(20n-7)3(3n-1)(20n-7)
525227n-142(2n-1)4(27n-14)4(2n-1)(27n-14)
17317516n-1n6n-1n(6n-1)
1933811413n-72n-12(13n-7)2(2n-1)(13n-7)
575720n-13n3(20n-1)3n(20n-1)
23423926n-1n6n-1n(6n-1)
295291456n-1n6n-1n(6n-1)
3767411113n-22n2(13n-2)n(13n-2)
416287172248n-77n-17(48n-7)7(7n-1)(48n-7)
32898455n-142(4n-1)8(55n-14)8(4n-1)(55n-14)
36973862n-213(3n-1)9(62n-21)9(3n-1)(62n-21)
41061569n-282(5n-2)10(69n-28)5(5n-2)(69n-28)
49249283n-426(2n-1)12(83n-42)12(2n-1)(83n-42)
7412876n-1n6n-1n(6n-1)
477188131627n-74n-14(27n-7)4(4n-1)(27n-7)
32932948n-17n7(48n-1)7n(48n-1)
8473766n-1n6n-1n(6n-1)
538159127220n-73n-13(20n-7)3(3n-1)(20n-7)
21242427n-14n4(27n-1)4n(27n-1)
9534776n-1n6n-1n(6n-1)
59917753120n-13n3(20n-1)3n(20n-1)
10595906n-1n6n-1n(6n-1)
619305274534n-75n-15(34n-7)5(5n-1)(34n-7)
366109841n-213(2n-1)6(41n-21)6(2n-1)(41n-21)
54954962n-19n9n(62n-1)9n(62n-1)
6710268134027n-142(2n-1)4(27n-14)4(2n-1)(27n-14)
33567034n-15n5(34n-1)5n(34n-1)
7111142156213n-72n-12(13n-7)2(2n-1)(13n-7)
12718526n-1n6n-1n(6n-1)
7311219240920n-73n-13(20n-7)3(3n-1)(20n-7)
791223794820n-13n3(20n-1)3n(20n-1)
31647427n-24n4(27n-2)2n(27n-2)
831210791294890n-713n-113(90n-7)13(13n-1)(90n-7)
1162697297n-142(7n-1)14(97n-14)14(7n-1)(97n-14)
148311626n-1n6n-1n(6n-1)
8913623809948n-77n-17(48n-7)7(7n-1)(48n-7)
1157115790n-113n13(90n-1)13n(90n-1)
1417862313n-22n2(13n-2)n(13n-2)
158913356n-1n6n-1n(6n-1)
9715194291013n-72n-12(13n-7)2(2n-1)(13n-7)
29148520n-33n3(20n-3)n(20n-3)


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三島 久典