６．ｂ＝ｋｐとなる解を含むような恒等式の一覧表

• 5/p = 1/a + 1/b + 1/c, b=kp
• 6/p = 1/a + 1/b + 1/c, b=kp
• 7/p = 1/a + 1/b + 1/c, b=kp

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

p	a	b	c	P	A	B	C
2	1	2	2	3n-1	n	3n-1	n(3n-1)
3	1	6	6	7n-4	2n-1	2(7n-4)	2(2n-1)(7n-4)
5	2	5	10	3n-1	n	3n-1	n(3n-1)
7	2	21	42	11n-4	3n-1	3(11n-4)	3(3n-1)(11n-4)
		28	28	15n-8	2(2n-1)	4(15n-8)	4(2n-1)(15n-8)
11	3	44	132	15n-4	4n-1	4(15n-4)	4(4n-1)(15n-4)
		66	66	23n-12	3(2n-1)	6(23n-12)	6(2n-1)(23n-12)
	4	11	44	3n-1	n	3n-1	n(3n-1)
13	4	26	52	7n-1	2n	2(7n-1)	2n(7n-1)
17	5	34	170	7n-4	2n-1	2(7n-4)	2(2n-1)(7n-4)
	6	17	102	3n-1	n	3n-1	n(3n-1)
19	5	114	570	23n-4	6n-1	6(23n-4)	6(6n-1)(23n-4)
		190	190	39n-20	5(2n-1)	10(39n-20)	10(2n-1)(39n-20)
	6	38	57	7n-2	2n	2(7n-2)	n(7n-2)
23	6	161	966	27n-4	7n-1	7(27n-4)	7(7n-1)(27n-4)
		184	552	31n-8	4(2n-1)	8(31n-8)	8(4n-1)(31n-8)
		207	414	35n-12	3(3n-1)	9(35n-12)	9(3n-1)(35n-12)
		230	345	39n-16	2(5n-2)	10(39n-16)	5(5n-2)(39n-16)
		276	276	47n-24	6(2n-1)	12(47n-24)	12(2n-1)(47n-24)
	8	23	184	3n-1	n	3n-1	n(3n-1)
29	8	87	696	11n-4	3n-1	3(11n-4)	3(3n-1)(11n-4)
		116	232	15n-1	4n	4(15n-1)	4n(15n-1)
	10	29	290	3n-1	n	3n-1	n(3n-1)
31	8	279	2232	35n-4	9n-1	9(35n-4)	9(9n-1)(35n-4)
		310	1240	39n-8	2(5n-1)	10(39n-8)	10(5n-1)(39n-8)
		372	744	47n-16	4(3n-1)	12(47n-16)	12(3n-1)(47n-16)
		496	496	63n-32	8(2n-1)	16(63n-32)	16(2n-1)(63n-32)
	9	62	558	7n-4	2n-1	2(7n-4)	2(2n-1)(7n-4)
37	10	148	740	15n-8	2(2n-1)	4(15n-8)	4(2n-1)(15n-8)
		185	370	19n-1	5n	5(19n-1)	5n(19n-1)
41	11	164	1804	15n-4	4n-1	4(15n-4)	4(4n-1)(15n-4)
	12	82	492	7n-1	2n	2(7n-1)	2n(7n-1)
		123	164	11n-3	3n	3(11n-3)	n(11n-3)
	14	41	574	3n-1	n	3n-1	n(3n-1)
43	11	516	5676	47n-4	12n-1	12(47n-4)	12(12n-1)(47n-4)
		946	946	87n-44	11(2n-1)	22(87n-44)	22(2n-1)(87n-44)
	12	129	516	11n-1	3n	3(11n-1)	3n(11n-1)
		172	258	15n-2	4n	4(15n-2)	2n(15n-2)
47	12	611	7332	51n-4	13n-1	13(51n-4)	13(13n-1)(51n-4)
		658	3948	55n-8	2(7n-1)	14(55n-8)	14(7n-1)(55n-8)
		705	2820	59n-12	3(5n-1)	15(59n-12)	15(5n-1)(59n-12)
		752	2256	63n-16	4(4n-1)	16(63n-16)	16(4n-1)(63n-16)
		846	1692	71n-24	6(3n-1)	18(71n-24)	18(3n-1)(71n-24)
		940	1410	79n-32	4(5n-2)	20(79n-32)	5(5n-2)(79n-32)
		987	1316	83n-36	3(7n-3)	21(83n-36)	7(7n-3)(83n-36)
		1128	1128	95n-48	12(2n-1)	24(95n-48)	24(2n-1)(95n-48)
	14	94	329	7n-2	2n	2(7n-2)	n(7n-2)
	16	47	752	3n-1	n	3n-1	n(3n-1)
53	14	265	3710	19n-4	5n-1	5(19n-4)	5(5n-1)(19n-4)
		318	1113	23n-16	2(3n-2)	6(23n-16)	3(3n-2)(23n-16)
		371	742	27n-1	7n	7(27n-1)	7n(27n-1)
	18	53	954	3n-1	n	3n-1	n(3n-1)
59	15	944	14160	63n-4	16n-1	16(63n-4)	16(16n-1)(63n-4)
		1062	5310	71n-12	3(6n-1)	18(71n-12)	18(6n-1)(71n-12)
		1180	3540	79n-20	5(4n-1)	20(79n-20)	20(4n-1)(79n-20)
		1416	2360	95n-36	3(8n-3)	24(95n-36)	8(8n-3)(95n-36)
	16	236	944	15n-1	4n	4(15n-1)	4n(15n-1)
	17	118	2006	7n-4	2n-1	2(7n-4)	2(2n-1)(7n-4)
	20	59	1180	3n-1	n	3n-1	n(3n-1)
61	16	366	2928	23n-8	2(3n-1)	6(23n-8)	6(3n-1)(23n-8)
		488	976	31n-1	8n	8(31n-1)	8n(31n-1)
	18	122	549	7n-2	2n	2(7n-2)	n(7n-2)
67	17	1206	20502	71n-4	18n-1	18(71n-4)	18(18n-1)(71n-4)
	18	268	2412	15n-8	2(2n-1)	4(15n-8)	4(2n-1)(15n-8)
		402	603	23n-2	6n	6(23n-2)	3n(23n-2)
71	18	1349	24282	75n-4	19n-1	19(75n-4)	19(19n-1)(75n-4)
		1420	12780	79n-8	2(10n-1)	20(79n-8)	20(10n-1)(79n-8)
		1491	8946	83n-12	3(7n-1)	21(83n-12)	21(7n-1)(83n-12)
		1562	7029	87n-16	2(11n-2)	22(87n-16)	11(11n-2)(87n-16)
		1704	5112	95n-24	6(4n-1)	24(95n-24)	24(4n-1)(95n-24)
	19	284	5396	15n-4	4n-1	4(15n-4)	4(4n-1)(15n-4)
	20	284	355	15n-4	4n	4(15n-4)	n(15n-4)
	24	71	1704	3n-1	n	3n-1	n(3n-1)
73	20	219	4380	11n-4	3n-1	3(11n-4)	3(3n-1)(11n-4)
		292	730	15n-2	4n	4(15n-2)	2n(15n-2)
	21	146	3066	7n-4	2n-1	2(7n-4)	2(2n-1)(7n-4)
79	20	1659	33180	83n-4	21n-1	21(83n-4)	21(21n-1)(83n-4)
		1738	17380	87n-8	2(11n-1)	22(87n-8)	22(11n-1)(87n-8)
		1896	9480	95n-16	4(6n-1)	24(95n-16)	24(6n-1)(95n-16)
		1975	7900	99n-20	5(5n-1)	25(99n-20)	25(5n-1)(99n-20)
	21	474	1106	23n-13	3(2n-1)	6(23n-13)	2(2n-1)(23n-13)
83	21	1826	38346	87n-4	22n-1	22(87n-4)	22(22n-1)(87n-4)
		1992	13944	95n-12	3(8n-1)	24(95n-12)	24(8n-1)(95n-12)
	24	166	1992	7n-1	2n	2(7n-1)	2n(7n-1)
	28	83	2324	3n-1	n	3n-1	n(3n-1)
89	23	712	16376	31n-4	8n-1	8(31n-4)	8(8n-1)(31n-4)
	24	356	2136	15n-1	4n	4(15n-1)	4n(15n-1)
		534	712	23n-3	6n	6(23n-3)	2n(23n-3)
	26	178	1157	7n-2	2n	2(7n-2)	n(7n-2)
	30	89	2670	3n-1	n	3n-1	n(3n-1)
97	25	970	4850	39n-20	5(2n-1)	10(39n-20)	10(2n-1)(39n-20)
	26	388	5044	15n-8	2(2n-1)	4(15n-8)	4(2n-1)(15n-8)
	28	194	2716	7n-1	2n	2(7n-1)	2n(7n-1)