A372368 - cp's OEIS frontend

A372368 a(1) = 1. Thereafter, if A007947(a(n-1)) is a term in A002110, a(n) is the smallest prime not already in the sequence. Otherwise a(n) is the smallest novel multiple of p, the greatest prime < g = gpd(a(n-1)).

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	9
10	8
11	11
12	14
13	15
14	12
15	13
16	22
17	21
18	20
19	18
20	17
21	26
22	33
23	28
24	25
25	24
26	19
27	34
28	39
29	44
30	35
31	30
32	23
33	38
34	51
35	52
36	55
37	42
38	40
39	27
40	16
41	29
42	46
43	57
44	68
45	65
46	66
47	49
48	45
49	36
50	31
51	58
52	69
53	76
54	85
55	78
56	77
57	56
58	50
59	48
60	37
61	62
62	87
63	92
64	95
65	102
66	91
67	88
68	63

[1, 2, 3, 4, 5, 6, 7, 10, 9, 8, 11, 14, 15, 12, 13, 22, 21, 20, 18, 17, 26, 33, 28, 25, 24, 19, 34, 39, 44, 35, 30, 23, 38, 51, 52, 55, 42, 40, 27, 16, 29, 46, 57, 68, 65, 66, 49, 45, 36, 31, 58, 69, 76, 85, 78, 77, 56, 50, 48, 37, 62, 87, 92, 95, 102, 91, 88, 63]

cp's OEIS Frontend

A372368 a(1) = 1. Thereafter, if A007947(a(n-1)) is a term in A002110, a(n) is the smallest prime not already in the sequence. Otherwise a(n) is the smallest novel multiple of p, the greatest prime < g = gpd(a(n-1)).

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	9
10	8
11	11
12	14
13	15
14	12
15	13
16	22
17	21
18	20
19	18
20	17
21	26
22	33
23	28
24	25
25	24
26	19
27	34
28	39
29	44
30	35
31	30
32	23
33	38
34	51
35	52
36	55
37	42
38	40
39	27
40	16
41	29
42	46
43	57
44	68
45	65
46	66
47	49
48	45
49	36
50	31
51	58
52	69
53	76
54	85
55	78
56	77
57	56
58	50
59	48
60	37
61	62
62	87
63	92
64	95
65	102
66	91
67	88
68	63

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	9
10	8
11	11
12	14
13	15
14	12
15	13
16	22
17	21
18	20
19	18
20	17
21	26
22	33
23	28
24	25
25	24
26	19
27	34
28	39
29	44
30	35
31	30
32	23
33	38
34	51
35	52
36	55
37	42
38	40
39	27
40	16
41	29
42	46
43	57
44	68
45	65
46	66
47	49
48	45
49	36
50	31
51	58
52	69
53	76
54	85
55	78
56	77
57	56
58	50
59	48
60	37
61	62
62	87
63	92
64	95
65	102
66	91
67	88
68	63

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	9
10	8
11	11
12	14
13	15
14	12
15	13
16	22
17	21
18	20
19	18
20	17
21	26
22	33
23	28
24	25
25	24
26	19
27	34
28	39
29	44
30	35
31	30
32	23
33	38
34	51
35	52
36	55
37	42
38	40
39	27
40	16
41	29
42	46
43	57
44	68
45	65
46	66
47	49
48	45
49	36
50	31
51	58
52	69
53	76
54	85
55	78
56	77
57	56
58	50
59	48
60	37
61	62
62	87
63	92
64	95
65	102
66	91
67	88
68	63