６．ｂ＝ｋｐとなる解を含むような恒等式の一覧表

• 4/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

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

p	a	b	c	P	A	B	C
3	1	3	3	4n-1	n	4n-1	n(4n-1)
7	2	7	14	4n-1	n	4n-1	n(4n-1)
11	3	11	33	4n-1	n	4n-1	n(4n-1)
13	3	26	78	9n-5	2n-1	2(9n-5)	2(2n-1)(9n-5)
		39	39	14n-1	3n	3(14n-1)	3n(14n-1)
17	4	34	68	9n-1	2n	2(9n-1)	2n(9n-1)
19	4	95	380	24n-5	5n-1	5(24n-5)	5(5n-1)(24n-5)
		114	228	29n-10	2(3n-1)	6(29n-10)	6(3n-1)(29n-10)
		152	152	39n-20	4(2n-1)	8(39n-20)	8(2n-1)(39n-20)
	5	19	95	4n-1	n	4n-1	n(4n-1)
23	5	69	345	14n-5	3n-1	3(14n-5)	3(3n-1)(14n-5)
		115	115	24n-1	5n	5(24n-1)	5n(24n-1)
	6	23	138	4n-1	n	4n-1	n(4n-1)
29	6	203	1218	34n-5	7n-1	7(34n-5)	7(7n-1)(34n-5)
		232	696	39n-10	2(4n-1)	8(39n-10)	8(4n-1)(39n-10)
		261	522	44n-15	3(3n-1)	9(44n-15)	9(3n-1)(44n-15)
		290	435	49n-20	2(5n-2)	10(49n-20)	5(5n-2)(49n-20)
		348	348	59n-30	6(2n-1)	12(59n-30)	12(2n-1)(59n-30)
31	7	62	434	9n-5	2n-1	2(9n-5)	2(2n-1)(9n-5)
	8	31	248	4n-1	n	4n-1	n(4n-1)
37	8	111	888	14n-5	3n-1	3(14n-5)	3(3n-1)(14n-5)
		148	296	19n-1	4n	4(19n-1)	4n(19n-1)
41	9	123	369	14n-1	3n	3(14n-1)	3n(14n-1)
43	9	215	1935	24n-5	5n-1	5(24n-5)	5(5n-1)(24n-5)
		258	774	29n-15	3(2n-1)	6(29n-15)	6(2n-1)(29n-15)
		387	387	44n-1	9n	9(44n-1)	9n(44n-1)
	10	86	215	9n-2	2n	2(9n-2)	n(9n-2)
	11	43	473	4n-1	n	4n-1	n(4n-1)
47	10	188	940	19n-10	2(2n-1)	4(19n-10)	4(2n-1)(19n-10)
		235	470	24n-1	5n	5(24n-1)	5n(24n-1)
	12	47	564	4n-1	n	4n-1	n(4n-1)
53	11	318	3498	29n-5	6n-1	6(29n-5)	6(6n-1)(29n-5)
		583	583	54n-1	11n	11(54n-1)	11n(54n-1)
	12	106	636	9n-1	2n	2(9n-1)	2n(9n-1)
		159	212	14n-3	3n	3(14n-3)	n(14n-3)
59	12	767	9204	64n-5	13n-1	13(64n-5)	13(13n-1)(64n-5)
		826	4956	69n-10	2(7n-1)	14(69n-10)	14(7n-1)(69n-10)
		885	3540	74n-15	3(5n-1)	15(74n-15)	15(5n-1)(74n-15)
		944	2832	79n-20	4(4n-1)	16(79n-20)	16(4n-1)(79n-20)
		1062	2124	89n-30	6(3n-1)	18(89n-30)	18(3n-1)(89n-30)
		1180	1770	99n-40	4(5n-2)	20(99n-40)	5(5n-2)(99n-40)
	15	59	885	4n-1	n	4n-1	n(4n-1)
61	14	122	427	9n-2	2n	2(9n-2)	n(9n-2)
67	14	335	4690	24n-5	5n-1	5(24n-5)	5(5n-1)(24n-5)
		402	1407	29n-20	2(3n-2)	6(29n-20)	3(3n-2)(29n-20)
		469	938	34n-1	7n	7(34n-1)	7n(34n-1)
	15	134	2010	9n-5	2n-1	2(9n-5)	2(2n-1)(9n-5)
		201	335	14n-3	3n	3(14n-3)	n(14n-3)
	17	67	1139	4n-1	n	4n-1	n(4n-1)
71	15	284	4260	19n-5	4n-1	4(19n-5)	4(4n-1)(19n-5)
		355	1065	24n-1	5n	5(24n-1)	5n(24n-1)
		426	710	29n-16	3(2n-1)	6(29n-16)	2(2n-1)(29n-16)
	16	142	1136	9n-1	2n	2(9n-1)	2n(9n-1)
	18	71	1278	4n-1	n	4n-1	n(4n-1)
73	15	584	8760	39n-5	8n-1	8(39n-5)	8(8n-1)(39n-5)
		657	3285	44n-15	3(3n-1)	9(44n-15)	9(3n-1)(44n-15)
		730	2190	49n-25	5(2n-1)	10(49n-25)	10(2n-1)(49n-25)
		876	1460	59n-45	3(4n-3)	12(59n-45)	4(4n-3)(59n-45)
		1095	1095	74n-1	15n	15(74n-1)	15n(74n-1)
79	16	1343	21488	84n-5	17n-1	17(84n-5)	17(17n-1)(84n-5)
		1422	11376	89n-10	2(9n-1)	18(89n-10)	18(9n-1)(89n-10)
		1580	6320	99n-20	4(5n-1)	20(99n-20)	20(5n-1)(99n-20)
	17	237	4029	14n-5	3n-1	3(14n-5)	3(3n-1)(14n-5)
	18	158	711	9n-2	2n	2(9n-2)	n(9n-2)
	20	79	1580	4n-1	n	4n-1	n(4n-1)
83	17	747	12699	44n-5	9n-1	9(44n-5)	9(9n-1)(44n-5)
		1411	1411	84n-1	17n	17(84n-1)	17n(84n-1)
	18	249	1494	14n-1	3n	3(14n-1)	3n(14n-1)
	21	83	1743	4n-1	n	4n-1	n(4n-1)
89	18	1691	30438	94n-5	19n-1	19(94n-5)	19(19n-1)(94n-5)
		1780	16020	99n-10	2(10n-1)	20(99n-10)	20(10n-1)(99n-10)
	20	178	1780	9n-1	2n	2(9n-1)	2n(9n-1)
97	20	679	13580	34n-5	7n-1	7(34n-5)	7(7n-1)(34n-5)
		776	3880	39n-20	4(2n-1)	8(39n-20)	8(2n-1)(39n-20)
		970	1940	49n-1	10n	10(49n-1)	10n(49n-1)
		1164	1455	59n-21	4(3n-1)	12(59n-21)	3(3n-1)(59n-21)
	21	291	2037	14n-1	3n	3(14n-1)	3n(14n-1)
	22	194	1067	9n-2	2n	2(9n-2)	n(9n-2)