６．ｂ＝ｋｐとなる解を含むような恒等式の一覧表
6/p = 1/a + 1/b + 1/c, b=kp
| p | a | b | c |
P | A | B | C |
|---|
| 5 | 1 | 10 | 10 | 11n-6 | 2n-1 | 2(11n-6) | 2(2n-1)(11n-6) |
|---|
| 11 | 2 | 33 | 66 | 17n-6 | 3n-1 | 3(17n-6) | 3(3n-1)(17n-6) |
|---|
| 44 | 44 | 23n-12 | 2(2n-1) | 4(23n-12) | 4(2n-1)(23n-12) |
|---|
| 17 | 3 | 68 | 204 | 23n-6 | 4n-1 | 4(23n-6) | 4(4n-1)(23n-6) |
|---|
| 102 | 102 | 35n-18 | 2(2n-1) | 6(35n-18) | 6(2n-1)(35n-18) |
|---|
| 19 | 4 | 19 | 76 | 5n-1 | n | 5n-1 | n(5n-1) |
|---|
| 23 | 4 | 115 | 460 | 29n-6 | 5n-1 | 5(29n-6) | 5(5n-1)(29n-6) |
|---|
| 138 | 276 | 35n-12 | 2(3n-1) | 6(35n-12) | 6(3n-1)(35n-12) |
|---|
| 184 | 184 | 47n-24 | 2(4n-1) | 8(47n-24) | 8(2n-1)(47n-24) |
|---|
| 29 | 5 | 174 | 870 | 35n-6 | 6n-1 | 6(35n-6) | 6(6n-1)(35n-6) |
|---|
| 290 | 290 | 59n-30 | 5(2n-1) | 10(59n-30) | 10(2n-1)(59n-30) |
|---|
| 6 | 29 | 174 | 5n-1 | n | 5n-1 | n(5n-1) |
|---|
| 31 | 6 | 62 | 93 | 11n-2 | 2n | 2(11n-2) | n(11n-2) |
|---|
| 41 | 7 | 328 | 2296 | 47n-6 | 8n-1 | 8(47n-6) | 8(8n-1)(47n-6) |
|---|
| 574 | 574 | 83n-42 | 7(2n-1) | 14(83n-42) | 14(2n-1)(83n-42) |
|---|
| 43 | 8 | 86 | 344 | 11n-1 | 2n | 2(11n-1) | 2n(11n-1) |
|---|
| 47 | 8 | 423 | 3384 | 53n-6 | 9n-1 | 9(53n-6) | 9(9n-1)(53n-6) |
|---|
| 470 | 1880 | 59n-12 | 2(5n-1) | 10(59n-12) | 10(5n-1)(59n-12) |
|---|
| 564 | 1128 | 71n-24 | 4(3n-1) | 12(71n-24) | 12(3n-1)(71n-24) |
|---|
| 752 | 752 | 95n-48 | 8(2n-1) | 16(95n-48) | 16(2n-1)(95n-48) |
|---|
| 53 | 9 | 530 | 4770 | 59n-6 | 10n-1 | 10(59n-6) | 10(10n-1)(59n-6) |
|---|
| 636 | 1908 | 71n-18 | 3(4n-1) | 12(71n-18) | 12(4n-1)(71n-18) |
|---|
| 10 | 106 | 265 | 11n-2 | 2n | 2(11n-2) | n(11n-2) |
|---|
| 59 | 10 | 649 | 6490 | 65n-6 | 11n-1 | 11(65n-6) | 11(11n-1)(65n-6) |
|---|
| 708 | 3540 | 71n-12 | 2(6n-1) | 12(71n-12) | 12(6n-1)(71n-12) |
|---|
| 826 | 2065 | 83n-24 | 2(7n-2) | 14(83n-24) | 7(7n-2)(83n-24) |
|---|
| 885 | 1770 | 89n-30 | 5(3n-1) | 15(89n-30) | 15(3n-1)(89n-30) |
|---|
| 12 | 59 | 708 | 5n-1 | n | 5n-1 | n(5n-1) |
|---|
| 67 | 12 | 201 | 804 | 17n-1 | 3n | 3(17n-1) | 3n(17n-1) |
|---|
| 268 | 402 | 23n-2 | 4n | 4(23n-2) | 2n(23n-2) |
|---|
| 71 | 12 | 923 | 11076 | 77n-6 | 13n-1 | 13(77n-6) | 13(13n-1)(77n-6) |
|---|
| 994 | 5964 | 83n-12 | 2(7n-1) | 14(83n-12) | 14(7n-1)(83n-12) |
|---|
| 1065 | 4260 | 89n-18 | 3(5n-1) | 15(89n-18) | 15(5n-1)(89n-18) |
|---|
| 1136 | 3408 | 95n-24 | 4(4n-1) | 16(95n-24) | 16(4n-1)(95n-24) |
|---|
| 13 | 142 | 1846 | 11n-6 | 2n-1 | 2(11n-6) | 2(2n-1)(11n-6) |
|---|
| 79 | 14 | 237 | 3318 | 17n-6 | 3n-1 | 3(17n-6) | 3(3n-1)(17n-6) |
|---|
| 16 | 79 | 1264 | 5n-1 | n | 5n-1 | n(5n-1) |
|---|
| 83 | 14 | 1245 | 17430 | 89n-6 | 15n-1 | 15(89n-6) | 15(15n-1)(89n-6) |
|---|
| 1328 | 9296 | 95n-12 | 2(8n-1) | 16(95n-12) | 16(8n-1)(95n-12) |
|---|
| 89 | 15 | 1424 | 21360 | 95n-6 | 16n-1 | 16(95n-6) | 16(16n-1)(95n-6) |
|---|
| 18 | 89 | 1602 | 5n-1 | n | 5n-1 | n(5n-1) |
|---|
| 97 | 18 | 194 | 873 | 11n-2 | 2n | 2(11n-2) | n(11n-2) |
|---|
E-mail : kc2h-msm@asahi-net.or.jp三島 久典