A229969 - cp's OEIS frontend

A229969 Number of ways to write n = x + y + z with 0 < x <= y <= z such that all the six numbers 2x-1, 2y-1, 2z-1, 2x*y-1, 2xz-1, 2yz-1 are prime.

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

[0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 2, 7, 4, 3, 5, 3, 2, 6, 3, 4, 3, 4, 5, 3, 4, 6, 6, 3, 5, 4, 5, 6, 9, 4, 8, 4, 7, 10, 2, 6, 12, 9, 1, 7, 7, 6, 12, 10, 3, 7, 8, 8, 9, 9, 5, 3, 7, 3, 7, 3, 9, 10, 8, 6, 11, 11, 13, 15, 6, 6, 10, 15, 11, 11, 13, 8, 12, 12, 7, 10, 8, 13, 12]

cp's OEIS Frontend

A229969 Number of ways to write n = x + y + z with 0 < x <= y <= z such that all the six numbers 2x-1, 2y-1, 2z-1, 2x*y-1, 2xz-1, 2yz-1 are prime.

Table of values

List of values

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

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

cp's OEIS Frontend

A229969 Number of ways to write n = x + y + z with 0 < x <= y <= z such that all the six numbers 2*x-1, 2*y-1, 2*z-1, 2*x*y-1, 2*x*z-1, 2*y*z-1 are prime.

Table of values

List of values

A229969 Number of ways to write n = x + y + z with 0 < x <= y <= z such that all the six numbers 2x-1, 2y-1, 2z-1, 2x*y-1, 2xz-1, 2yz-1 are prime.

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