A260621 - cp's OEIS frontend

A260621 Let b(k, n) = number obtained when the map x->A002808(x) is applied k times to n; a(n) is the smallest k such that b(k, n) + 1 is prime.

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

[1, 1, 12, 2, 1, 1, 3, 11, 1, 1, 7, 9, 1, 2, 10, 4, 2, 1, 1, 6, 8, 3, 3, 1, 9, 3, 1, 1, 18, 3, 1, 5, 7, 2, 2, 1, 4, 8, 2, 14, 1, 1, 6, 17, 2, 6, 1, 4, 6, 1, 1, 2, 2, 3, 7, 1, 13, 6, 1, 4, 16, 5, 16, 1, 5, 31, 35, 3, 5, 2, 1, 2, 3, 1, 1, 2, 6, 1, 1, 12, 5, 1, 2]

cp's OEIS Frontend

A260621 Let b(k, n) = number obtained when the map x->A002808(x) is applied k times to n; a(n) is the smallest k such that b(k, n) + 1 is prime.

Table of values

List of values

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

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

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