A344307 - cp's OEIS frontend

A344307 a(n) is the smallest number not yet in the sequence that satisfies the following condition: if p is a prime factor of a(n), the next p terms are coprime to p.

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	7
7	9
8	8
9	11
10	13
11	6
12	17
13	19
14	10
15	21
16	23
17	16
18	29
19	27
20	20
21	31
22	37
23	12
24	41
25	43
26	14
27	15
28	47
29	22
30	53
31	39
32	32
33	25
34	49
35	18
36	59
37	61
38	34
39	45
40	67
41	38
42	71
43	33
44	28
45	65
46	73
47	24
48	79
49	83
50	46
51	75
52	89
53	56
54	97
55	81
56	44
57	85
58	101
59	26
60	87
61	103
62	62
63	35
64	57
65	64
66	107

[1, 2, 3, 5, 4, 7, 9, 8, 11, 13, 6, 17, 19, 10, 21, 23, 16, 29, 27, 20, 31, 37, 12, 41, 43, 14, 15, 47, 22, 53, 39, 32, 25, 49, 18, 59, 61, 34, 45, 67, 38, 71, 33, 28, 65, 73, 24, 79, 83, 46, 75, 89, 56, 97, 81, 44, 85, 101, 26, 87, 103, 62, 35, 57, 64, 107]

cp's OEIS Frontend

A344307 a(n) is the smallest number not yet in the sequence that satisfies the following condition: if p is a prime factor of a(n), the next p terms are coprime to p.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	7
7	9
8	8
9	11
10	13
11	6
12	17
13	19
14	10
15	21
16	23
17	16
18	29
19	27
20	20
21	31
22	37
23	12
24	41
25	43
26	14
27	15
28	47
29	22
30	53
31	39
32	32
33	25
34	49
35	18
36	59
37	61
38	34
39	45
40	67
41	38
42	71
43	33
44	28
45	65
46	73
47	24
48	79
49	83
50	46
51	75
52	89
53	56
54	97
55	81
56	44
57	85
58	101
59	26
60	87
61	103
62	62
63	35
64	57
65	64
66	107

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	7
7	9
8	8
9	11
10	13
11	6
12	17
13	19
14	10
15	21
16	23
17	16
18	29
19	27
20	20
21	31
22	37
23	12
24	41
25	43
26	14
27	15
28	47
29	22
30	53
31	39
32	32
33	25
34	49
35	18
36	59
37	61
38	34
39	45
40	67
41	38
42	71
43	33
44	28
45	65
46	73
47	24
48	79
49	83
50	46
51	75
52	89
53	56
54	97
55	81
56	44
57	85
58	101
59	26
60	87
61	103
62	62
63	35
64	57
65	64
66	107

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	7
7	9
8	8
9	11
10	13
11	6
12	17
13	19
14	10
15	21
16	23
17	16
18	29
19	27
20	20
21	31
22	37
23	12
24	41
25	43
26	14
27	15
28	47
29	22
30	53
31	39
32	32
33	25
34	49
35	18
36	59
37	61
38	34
39	45
40	67
41	38
42	71
43	33
44	28
45	65
46	73
47	24
48	79
49	83
50	46
51	75
52	89
53	56
54	97
55	81
56	44
57	85
58	101
59	26
60	87
61	103
62	62
63	35
64	57
65	64
66	107