A284172 - cp's OEIS frontend

A284172 a(1)=2; thereafter a(n+1) = a(n)+i if a(n) is a prime and a(1),...,a(n) contains i primes, or a(n+1) = a(n)-i if a(n) is composite and a(1),...,a(n) contains i composite terms.

n	a(n)
1	2
2	3
3	5
4	8
5	7
6	11
7	16
8	14
9	11
10	17
11	24
12	20
13	15
14	9
15	2
16	10
17	2
18	11
19	21
20	12
21	2
22	13
23	25
24	14
25	2
26	15
27	2
28	16
29	2
30	17
31	33
32	18
33	2
34	19
35	37
36	56
37	39
38	21
39	2
40	22
41	2
42	23
43	45
44	24
45	2
46	25
47	2
48	26
49	2
50	27
51	2
52	28
53	2
54	29
55	57
56	30
57	2
58	31
59	61
60	92
61	63
62	33
63	2
64	34
65	2
66	35
67	2
68	36
69	2
70	37
71	73
72	110
73	75
74	39
75	2
76	40
77	2
78	41
79	81
80	42
81	2
82	43
83	85
84	44
85	2
86	45

[2, 3, 5, 8, 7, 11, 16, 14, 11, 17, 24, 20, 15, 9, 2, 10, 2, 11, 21, 12, 2, 13, 25, 14, 2, 15, 2, 16, 2, 17, 33, 18, 2, 19, 37, 56, 39, 21, 2, 22, 2, 23, 45, 24, 2, 25, 2, 26, 2, 27, 2, 28, 2, 29, 57, 30, 2, 31, 61, 92, 63, 33, 2, 34, 2, 35, 2, 36, 2, 37, 73, 110, 75, 39, 2, 40, 2, 41, 81, 42, 2, 43, 85, 44, 2, 45]

cp's OEIS Frontend

A284172 a(1)=2; thereafter a(n+1) = a(n)+i if a(n) is a prime and a(1),...,a(n) contains i primes, or a(n+1) = a(n)-i if a(n) is composite and a(1),...,a(n) contains i composite terms.

Table of values

List of values

n	a(n)
1	2
2	3
3	5
4	8
5	7
6	11
7	16
8	14
9	11
10	17
11	24
12	20
13	15
14	9
15	2
16	10
17	2
18	11
19	21
20	12
21	2
22	13
23	25
24	14
25	2
26	15
27	2
28	16
29	2
30	17
31	33
32	18
33	2
34	19
35	37
36	56
37	39
38	21
39	2
40	22
41	2
42	23
43	45
44	24
45	2
46	25
47	2
48	26
49	2
50	27
51	2
52	28
53	2
54	29
55	57
56	30
57	2
58	31
59	61
60	92
61	63
62	33
63	2
64	34
65	2
66	35
67	2
68	36
69	2
70	37
71	73
72	110
73	75
74	39
75	2
76	40
77	2
78	41
79	81
80	42
81	2
82	43
83	85
84	44
85	2
86	45

n	a(n)
1	2
2	3
3	5
4	8
5	7
6	11
7	16
8	14
9	11
10	17
11	24
12	20
13	15
14	9
15	2
16	10
17	2
18	11
19	21
20	12
21	2
22	13
23	25
24	14
25	2
26	15
27	2
28	16
29	2
30	17
31	33
32	18
33	2
34	19
35	37
36	56
37	39
38	21
39	2
40	22
41	2
42	23
43	45
44	24
45	2
46	25
47	2
48	26
49	2
50	27
51	2
52	28
53	2
54	29
55	57
56	30
57	2
58	31
59	61
60	92
61	63
62	33
63	2
64	34
65	2
66	35
67	2
68	36
69	2
70	37
71	73
72	110
73	75
74	39
75	2
76	40
77	2
78	41
79	81
80	42
81	2
82	43
83	85
84	44
85	2
86	45

n	a(n)
1	2
2	3
3	5
4	8
5	7
6	11
7	16
8	14
9	11
10	17
11	24
12	20
13	15
14	9
15	2
16	10
17	2
18	11
19	21
20	12
21	2
22	13
23	25
24	14
25	2
26	15
27	2
28	16
29	2
30	17
31	33
32	18
33	2
34	19
35	37
36	56
37	39
38	21
39	2
40	22
41	2
42	23
43	45
44	24
45	2
46	25
47	2
48	26
49	2
50	27
51	2
52	28
53	2
54	29
55	57
56	30
57	2
58	31
59	61
60	92
61	63
62	33
63	2
64	34
65	2
66	35
67	2
68	36
69	2
70	37
71	73
72	110
73	75
74	39
75	2
76	40
77	2
78	41
79	81
80	42
81	2
82	43
83	85
84	44
85	2
86	45