A117078 - cp's OEIS frontend

A117078 a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists.

n	a(n)
1	0
2	0
3	3
4	0
5	3
6	9
7	3
8	5
9	17
10	3
11	25
12	11
13	3
14	13
15	41
16	47
17	3
18	11
19	7
20	3
21	67
22	5
23	7
24	9
25	31
26	3
27	9
28	3
29	5
30	33
31	41
32	25
33	3
34	43
35	3
36	29
37	151
38	53
39	7
40	167
41	3
42	19
43	3
44	7
45	3
46	17
47	199
48	73
49	3
50	5
51	227
52	3
53	11
54	7
55	251
56	257
57	3
58	53
59	7
60	3
61	13
62	31
63	101
64	3
65	103
66	101
67	13
68	109
69	3
70	5
71	347
72	9
73	19
74	367
75	5
76	13
77	127
78	131
79	131
80	19
81	3

[0, 0, 3, 0, 3, 9, 3, 5, 17, 3, 25, 11, 3, 13, 41, 47, 3, 11, 7, 3, 67, 5, 7, 9, 31, 3, 9, 3, 5, 33, 41, 25, 3, 43, 3, 29, 151, 53, 7, 167, 3, 19, 3, 7, 3, 17, 199, 73, 3, 5, 227, 3, 11, 7, 251, 257, 3, 53, 7, 3, 13, 31, 101, 3, 103, 101, 13, 109, 3, 5, 347, 9, 19, 367, 5, 13, 127, 131, 131, 19, 3]

cp's OEIS Frontend

A117078 a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists.

Table of values

List of values

n	a(n)
1	0
2	0
3	3
4	0
5	3
6	9
7	3
8	5
9	17
10	3
11	25
12	11
13	3
14	13
15	41
16	47
17	3
18	11
19	7
20	3
21	67
22	5
23	7
24	9
25	31
26	3
27	9
28	3
29	5
30	33
31	41
32	25
33	3
34	43
35	3
36	29
37	151
38	53
39	7
40	167
41	3
42	19
43	3
44	7
45	3
46	17
47	199
48	73
49	3
50	5
51	227
52	3
53	11
54	7
55	251
56	257
57	3
58	53
59	7
60	3
61	13
62	31
63	101
64	3
65	103
66	101
67	13
68	109
69	3
70	5
71	347
72	9
73	19
74	367
75	5
76	13
77	127
78	131
79	131
80	19
81	3

n	a(n)
1	0
2	0
3	3
4	0
5	3
6	9
7	3
8	5
9	17
10	3
11	25
12	11
13	3
14	13
15	41
16	47
17	3
18	11
19	7
20	3
21	67
22	5
23	7
24	9
25	31
26	3
27	9
28	3
29	5
30	33
31	41
32	25
33	3
34	43
35	3
36	29
37	151
38	53
39	7
40	167
41	3
42	19
43	3
44	7
45	3
46	17
47	199
48	73
49	3
50	5
51	227
52	3
53	11
54	7
55	251
56	257
57	3
58	53
59	7
60	3
61	13
62	31
63	101
64	3
65	103
66	101
67	13
68	109
69	3
70	5
71	347
72	9
73	19
74	367
75	5
76	13
77	127
78	131
79	131
80	19
81	3

n	a(n)
1	0
2	0
3	3
4	0
5	3
6	9
7	3
8	5
9	17
10	3
11	25
12	11
13	3
14	13
15	41
16	47
17	3
18	11
19	7
20	3
21	67
22	5
23	7
24	9
25	31
26	3
27	9
28	3
29	5
30	33
31	41
32	25
33	3
34	43
35	3
36	29
37	151
38	53
39	7
40	167
41	3
42	19
43	3
44	7
45	3
46	17
47	199
48	73
49	3
50	5
51	227
52	3
53	11
54	7
55	251
56	257
57	3
58	53
59	7
60	3
61	13
62	31
63	101
64	3
65	103
66	101
67	13
68	109
69	3
70	5
71	347
72	9
73	19
74	367
75	5
76	13
77	127
78	131
79	131
80	19
81	3