A230037 - cp's OEIS frontend

A230037 Number of ways to write n = x + y + z (0 < x <= y <= z) such that the four pairs {6x-1, 6x+1}, {6y-1, 6y+1}, {6z-1, 6z+1} and {6xy-1, 6xy+1} are twin prime pairs.

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	1
7	2
8	1
9	2
10	1
11	2
12	2
13	2
14	3
15	3
16	2
17	2
18	2
19	2
20	4
21	3
22	2
23	3
24	2
25	5
26	2
27	4
28	3
29	4
30	4
31	4
32	3
33	3
34	4
35	5
36	7
37	4
38	5
39	2
40	5
41	4
42	5
43	7
44	5
45	5
46	4
47	4
48	4
49	6
50	6
51	8
52	4
53	5
54	3
55	4
56	5
57	6
58	7
59	4
60	6
61	2
62	5
63	3
64	7
65	8
66	4
67	4
68	1
69	4
70	2
71	7
72	6
73	3
74	5
75	3
76	5
77	4
78	6
79	6
80	5
81	4
82	3
83	5
84	4
85	5
86	3
87	3
88	3
89	6
90	7
91	5
92	2
93	4
94	4
95	5
96	3
97	6
98	4
99	3
100	5

[0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 4, 3, 2, 3, 2, 5, 2, 4, 3, 4, 4, 4, 3, 3, 4, 5, 7, 4, 5, 2, 5, 4, 5, 7, 5, 5, 4, 4, 4, 6, 6, 8, 4, 5, 3, 4, 5, 6, 7, 4, 6, 2, 5, 3, 7, 8, 4, 4, 1, 4, 2, 7, 6, 3, 5, 3, 5, 4, 6, 6, 5, 4, 3, 5, 4, 5, 3, 3, 3, 6, 7, 5, 2, 4, 4, 5, 3, 6, 4, 3, 5]

cp's OEIS Frontend

A230037 Number of ways to write n = x + y + z (0 < x <= y <= z) such that the four pairs {6x-1, 6x+1}, {6y-1, 6y+1}, {6z-1, 6z+1} and {6xy-1, 6xy+1} are twin prime pairs.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	1
7	2
8	1
9	2
10	1
11	2
12	2
13	2
14	3
15	3
16	2
17	2
18	2
19	2
20	4
21	3
22	2
23	3
24	2
25	5
26	2
27	4
28	3
29	4
30	4
31	4
32	3
33	3
34	4
35	5
36	7
37	4
38	5
39	2
40	5
41	4
42	5
43	7
44	5
45	5
46	4
47	4
48	4
49	6
50	6
51	8
52	4
53	5
54	3
55	4
56	5
57	6
58	7
59	4
60	6
61	2
62	5
63	3
64	7
65	8
66	4
67	4
68	1
69	4
70	2
71	7
72	6
73	3
74	5
75	3
76	5
77	4
78	6
79	6
80	5
81	4
82	3
83	5
84	4
85	5
86	3
87	3
88	3
89	6
90	7
91	5
92	2
93	4
94	4
95	5
96	3
97	6
98	4
99	3
100	5

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	1
7	2
8	1
9	2
10	1
11	2
12	2
13	2
14	3
15	3
16	2
17	2
18	2
19	2
20	4
21	3
22	2
23	3
24	2
25	5
26	2
27	4
28	3
29	4
30	4
31	4
32	3
33	3
34	4
35	5
36	7
37	4
38	5
39	2
40	5
41	4
42	5
43	7
44	5
45	5
46	4
47	4
48	4
49	6
50	6
51	8
52	4
53	5
54	3
55	4
56	5
57	6
58	7
59	4
60	6
61	2
62	5
63	3
64	7
65	8
66	4
67	4
68	1
69	4
70	2
71	7
72	6
73	3
74	5
75	3
76	5
77	4
78	6
79	6
80	5
81	4
82	3
83	5
84	4
85	5
86	3
87	3
88	3
89	6
90	7
91	5
92	2
93	4
94	4
95	5
96	3
97	6
98	4
99	3
100	5

cp's OEIS Frontend

A230037 Number of ways to write n = x + y + z (0 < x <= y <= z) such that the four pairs {6*x-1, 6*x+1}, {6*y-1, 6*y+1}, {6*z-1, 6*z+1} and {6*x*y-1, 6*x*y+1} are twin prime pairs.

Table of values

List of values

A230037 Number of ways to write n = x + y + z (0 < x <= y <= z) such that the four pairs {6x-1, 6x+1}, {6y-1, 6y+1}, {6z-1, 6z+1} and {6xy-1, 6xy+1} are twin prime pairs.

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	1
7	2
8	1
9	2
10	1
11	2
12	2
13	2
14	3
15	3
16	2
17	2
18	2
19	2
20	4
21	3
22	2
23	3
24	2
25	5
26	2
27	4
28	3
29	4
30	4
31	4
32	3
33	3
34	4
35	5
36	7
37	4
38	5
39	2
40	5
41	4
42	5
43	7
44	5
45	5
46	4
47	4
48	4
49	6
50	6
51	8
52	4
53	5
54	3
55	4
56	5
57	6
58	7
59	4
60	6
61	2
62	5
63	3
64	7
65	8
66	4
67	4
68	1
69	4
70	2
71	7
72	6
73	3
74	5
75	3
76	5
77	4
78	6
79	6
80	5
81	4
82	3
83	5
84	4
85	5
86	3
87	3
88	3
89	6
90	7
91	5
92	2
93	4
94	4
95	5
96	3
97	6
98	4
99	3
100	5