A056127 - cp's OEIS frontend

A056127 Minimum m where product_{k=1 to m}[p_k] > (p_{m+1})^n, where p_k is k-th prime.

n	a(n)
0	1
1	2
2	4
3	5
4	7
5	8
6	10
7	11
8	13
9	14
10	15
11	16
12	18
13	19
14	20
15	21
16	23
17	24
18	25
19	26
20	28
21	29
22	30
23	32
24	33
25	34
26	35
27	36
28	38
29	39
30	40
31	41
32	43
33	44
34	45
35	46
36	48
37	49
38	50
39	51
40	52
41	53
42	55
43	56
44	57
45	58
46	59
47	60
48	62
49	63
50	64
51	65
52	67
53	68
54	69
55	70
56	72
57	73
58	74
59	75
60	76
61	78
62	79
63	80
64	81
65	82
66	83
67	85
68	86
69	87
70	88

[1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 36, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 67, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88]

cp's OEIS Frontend

A056127 Minimum m where product_{k=1 to m}[p_k] > (p_{m+1})^n, where p_k is k-th prime.

Table of values

List of values

n	a(n)
0	1
1	2
2	4
3	5
4	7
5	8
6	10
7	11
8	13
9	14
10	15
11	16
12	18
13	19
14	20
15	21
16	23
17	24
18	25
19	26
20	28
21	29
22	30
23	32
24	33
25	34
26	35
27	36
28	38
29	39
30	40
31	41
32	43
33	44
34	45
35	46
36	48
37	49
38	50
39	51
40	52
41	53
42	55
43	56
44	57
45	58
46	59
47	60
48	62
49	63
50	64
51	65
52	67
53	68
54	69
55	70
56	72
57	73
58	74
59	75
60	76
61	78
62	79
63	80
64	81
65	82
66	83
67	85
68	86
69	87
70	88

n	a(n)
0	1
1	2
2	4
3	5
4	7
5	8
6	10
7	11
8	13
9	14
10	15
11	16
12	18
13	19
14	20
15	21
16	23
17	24
18	25
19	26
20	28
21	29
22	30
23	32
24	33
25	34
26	35
27	36
28	38
29	39
30	40
31	41
32	43
33	44
34	45
35	46
36	48
37	49
38	50
39	51
40	52
41	53
42	55
43	56
44	57
45	58
46	59
47	60
48	62
49	63
50	64
51	65
52	67
53	68
54	69
55	70
56	72
57	73
58	74
59	75
60	76
61	78
62	79
63	80
64	81
65	82
66	83
67	85
68	86
69	87
70	88

n	a(n)
0	1
1	2
2	4
3	5
4	7
5	8
6	10
7	11
8	13
9	14
10	15
11	16
12	18
13	19
14	20
15	21
16	23
17	24
18	25
19	26
20	28
21	29
22	30
23	32
24	33
25	34
26	35
27	36
28	38
29	39
30	40
31	41
32	43
33	44
34	45
35	46
36	48
37	49
38	50
39	51
40	52
41	53
42	55
43	56
44	57
45	58
46	59
47	60
48	62
49	63
50	64
51	65
52	67
53	68
54	69
55	70
56	72
57	73
58	74
59	75
60	76
61	78
62	79
63	80
64	81
65	82
66	83
67	85
68	86
69	87
70	88