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
p | a | b | c |
P | A | B | C |
5 | 1 | 5 | 5 | 6n-1 | n | 6n-1 | n(6n-1) |
11 | 2 | 11 | 22 | 6n-1 | n | 6n-1 | n(6n-1) |
13 | 2 | 39 | 78 | 20n-7 | 3n-1 | 3(20n-7) | 3(3n-1)(20n-7) |
52 | 52 | 27n-14 | 2(2n-1) | 4(27n-14) | 4(2n-1)(27n-14) |
17 | 3 | 17 | 51 | 6n-1 | n | 6n-1 | n(6n-1) |
19 | 3 | 38 | 114 | 13n-7 | 2n-1 | 2(13n-7) | 2(2n-1)(13n-7) |
57 | 57 | 20n-1 | 3n | 3(20n-1) | 3n(20n-1) |
23 | 4 | 23 | 92 | 6n-1 | n | 6n-1 | n(6n-1) |
29 | 5 | 29 | 145 | 6n-1 | n | 6n-1 | n(6n-1) |
37 | 6 | 74 | 111 | 13n-2 | 2n | 2(13n-2) | n(13n-2) |
41 | 6 | 287 | 1722 | 48n-7 | 7n-1 | 7(48n-7) | 7(7n-1)(48n-7) |
328 | 984 | 55n-14 | 2(4n-1) | 8(55n-14) | 8(4n-1)(55n-14) |
369 | 738 | 62n-21 | 3(3n-1) | 9(62n-21) | 9(3n-1)(62n-21) |
410 | 615 | 69n-28 | 2(5n-2) | 10(69n-28) | 5(5n-2)(69n-28) |
492 | 492 | 83n-42 | 6(2n-1) | 12(83n-42) | 12(2n-1)(83n-42) |
7 | 41 | 287 | 6n-1 | n | 6n-1 | n(6n-1) |
47 | 7 | 188 | 1316 | 27n-7 | 4n-1 | 4(27n-7) | 4(4n-1)(27n-7) |
329 | 329 | 48n-1 | 7n | 7(48n-1) | 7n(48n-1) |
8 | 47 | 376 | 6n-1 | n | 6n-1 | n(6n-1) |
53 | 8 | 159 | 1272 | 20n-7 | 3n-1 | 3(20n-7) | 3(3n-1)(20n-7) |
212 | 424 | 27n-1 | 4n | 4(27n-1) | 4n(27n-1) |
9 | 53 | 477 | 6n-1 | n | 6n-1 | n(6n-1) |
59 | 9 | 177 | 531 | 20n-1 | 3n | 3(20n-1) | 3n(20n-1) |
10 | 59 | 590 | 6n-1 | n | 6n-1 | n(6n-1) |
61 | 9 | 305 | 2745 | 34n-7 | 5n-1 | 5(34n-7) | 5(5n-1)(34n-7) |
366 | 1098 | 41n-21 | 3(2n-1) | 6(41n-21) | 6(2n-1)(41n-21) |
549 | 549 | 62n-1 | 9n | 9n(62n-1) | 9n(62n-1) |
67 | 10 | 268 | 1340 | 27n-14 | 2(2n-1) | 4(27n-14) | 4(2n-1)(27n-14) |
335 | 670 | 34n-1 | 5n | 5(34n-1) | 5n(34n-1) |
71 | 11 | 142 | 1562 | 13n-7 | 2n-1 | 2(13n-7) | 2(2n-1)(13n-7) |
12 | 71 | 852 | 6n-1 | n | 6n-1 | n(6n-1) |
73 | 11 | 219 | 2409 | 20n-7 | 3n-1 | 3(20n-7) | 3(3n-1)(20n-7) |
79 | 12 | 237 | 948 | 20n-1 | 3n | 3(20n-1) | 3n(20n-1) |
316 | 474 | 27n-2 | 4n | 4(27n-2) | 2n(27n-2) |
83 | 12 | 1079 | 12948 | 90n-7 | 13n-1 | 13(90n-7) | 13(13n-1)(90n-7) |
1162 | 6972 | 97n-14 | 2(7n-1) | 14(97n-14) | 14(7n-1)(97n-14) |
14 | 83 | 1162 | 6n-1 | n | 6n-1 | n(6n-1) |
89 | 13 | 623 | 8099 | 48n-7 | 7n-1 | 7(48n-7) | 7(7n-1)(48n-7) |
1157 | 1157 | 90n-1 | 13n | 13(90n-1) | 13n(90n-1) |
14 | 178 | 623 | 13n-2 | 2n | 2(13n-2) | n(13n-2) |
15 | 89 | 1335 | 6n-1 | n | 6n-1 | n(6n-1) |
97 | 15 | 194 | 2910 | 13n-7 | 2n-1 | 2(13n-7) | 2(2n-1)(13n-7) |
291 | 485 | 20n-3 | 3n | 3(20n-3) | n(20n-3) |
E-mail : kc2h-msm@asahi-net.or.jp三島 久典