A118123 - cp's OEIS frontend

A118123 a(n) = number of k's such that prime(n+1) = prime(n) + (prime(n) mod k).

n	a(n)
1	0
2	0
3	1
4	0
5	2
6	1
7	3
8	2
9	1
10	3
11	1
12	2
13	3
14	2
15	1
16	1
17	3
18	2
19	4
20	3
21	1
22	4
23	3
24	3
25	2
26	5
27	4
28	7
29	6
30	2
31	2
32	2
33	7
34	2
35	5
36	2
37	1
38	2
39	3
40	1
41	3
42	3
43	7
44	6
45	7
46	2
47	1
48	2
49	8
50	7
51	1
52	3
53	5
54	4
55	1
56	1
57	3
58	2
59	6
60	5
61	5
62	3
63	2
64	3
65	2
66	2
67	4
68	2
69	7
70	6
71	1
72	6
73	2
74	1
75	6
76	3
77	2
78	2
79	2
80	5
81	3
82	2
83	7
84	3
85	6
86	3
87	6
88	2
89	7
90	6
91	5
92	2
93	6
94	5
95	10
96	3
97	2
98	3
99	2
100	2
101	2
102	3
103	1
104	9
105	2

[0, 0, 1, 0, 2, 1, 3, 2, 1, 3, 1, 2, 3, 2, 1, 1, 3, 2, 4, 3, 1, 4, 3, 3, 2, 5, 4, 7, 6, 2, 2, 2, 7, 2, 5, 2, 1, 2, 3, 1, 3, 3, 7, 6, 7, 2, 1, 2, 8, 7, 1, 3, 5, 4, 1, 1, 3, 2, 6, 5, 5, 3, 2, 3, 2, 2, 4, 2, 7, 6, 1, 6, 2, 1, 6, 3, 2, 2, 2, 5, 3, 2, 7, 3, 6, 3, 6, 2, 7, 6, 5, 2, 6, 5, 10, 3, 2, 3, 2, 2, 2, 3, 1, 9, 2]

cp's OEIS Frontend

A118123 a(n) = number of k's such that prime(n+1) = prime(n) + (prime(n) mod k).

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	2
6	1
7	3
8	2
9	1
10	3
11	1
12	2
13	3
14	2
15	1
16	1
17	3
18	2
19	4
20	3
21	1
22	4
23	3
24	3
25	2
26	5
27	4
28	7
29	6
30	2
31	2
32	2
33	7
34	2
35	5
36	2
37	1
38	2
39	3
40	1
41	3
42	3
43	7
44	6
45	7
46	2
47	1
48	2
49	8
50	7
51	1
52	3
53	5
54	4
55	1
56	1
57	3
58	2
59	6
60	5
61	5
62	3
63	2
64	3
65	2
66	2
67	4
68	2
69	7
70	6
71	1
72	6
73	2
74	1
75	6
76	3
77	2
78	2
79	2
80	5
81	3
82	2
83	7
84	3
85	6
86	3
87	6
88	2
89	7
90	6
91	5
92	2
93	6
94	5
95	10
96	3
97	2
98	3
99	2
100	2
101	2
102	3
103	1
104	9
105	2

n	a(n)
1	0
2	0
3	1
4	0
5	2
6	1
7	3
8	2
9	1
10	3
11	1
12	2
13	3
14	2
15	1
16	1
17	3
18	2
19	4
20	3
21	1
22	4
23	3
24	3
25	2
26	5
27	4
28	7
29	6
30	2
31	2
32	2
33	7
34	2
35	5
36	2
37	1
38	2
39	3
40	1
41	3
42	3
43	7
44	6
45	7
46	2
47	1
48	2
49	8
50	7
51	1
52	3
53	5
54	4
55	1
56	1
57	3
58	2
59	6
60	5
61	5
62	3
63	2
64	3
65	2
66	2
67	4
68	2
69	7
70	6
71	1
72	6
73	2
74	1
75	6
76	3
77	2
78	2
79	2
80	5
81	3
82	2
83	7
84	3
85	6
86	3
87	6
88	2
89	7
90	6
91	5
92	2
93	6
94	5
95	10
96	3
97	2
98	3
99	2
100	2
101	2
102	3
103	1
104	9
105	2

n	a(n)
1	0
2	0
3	1
4	0
5	2
6	1
7	3
8	2
9	1
10	3
11	1
12	2
13	3
14	2
15	1
16	1
17	3
18	2
19	4
20	3
21	1
22	4
23	3
24	3
25	2
26	5
27	4
28	7
29	6
30	2
31	2
32	2
33	7
34	2
35	5
36	2
37	1
38	2
39	3
40	1
41	3
42	3
43	7
44	6
45	7
46	2
47	1
48	2
49	8
50	7
51	1
52	3
53	5
54	4
55	1
56	1
57	3
58	2
59	6
60	5
61	5
62	3
63	2
64	3
65	2
66	2
67	4
68	2
69	7
70	6
71	1
72	6
73	2
74	1
75	6
76	3
77	2
78	2
79	2
80	5
81	3
82	2
83	7
84	3
85	6
86	3
87	6
88	2
89	7
90	6
91	5
92	2
93	6
94	5
95	10
96	3
97	2
98	3
99	2
100	2
101	2
102	3
103	1
104	9
105	2