A336855 - cp's OEIS frontend

A336855 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), for all i, j >= 1, where f(p) = p-nextprime(p) for primes p, and f(n) = n for all other numbers.

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

[1, 2, 3, 4, 3, 5, 6, 7, 8, 9, 3, 10, 6, 11, 12, 13, 3, 14, 6, 15, 16, 17, 18, 19, 20, 21, 22, 23, 3, 24, 18, 25, 26, 27, 28, 29, 6, 30, 31, 32, 3, 33, 6, 34, 35, 36, 18, 37, 38, 39, 40, 41, 18, 42, 43, 44, 45, 46, 3, 47, 18, 48, 49, 50, 51, 52, 6, 53, 54, 55, 3, 56, 18, 57, 58, 59, 60, 61, 6, 62, 63, 64, 18, 65, 66]

cp's OEIS Frontend

A336855 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), for all i, j >= 1, where f(p) = p-nextprime(p) for primes p, and f(n) = n for all other numbers.

Table of values

List of values

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

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

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