A378744 - cp's OEIS frontend

A378744 The least k such that prime(1+n)^k > 2 * prime(n)^k.

n	a(n)
1	2
2	2
3	3
4	2
5	5
6	3
7	7
8	4
9	3
10	11
11	4
12	7
13	15
14	8
15	6
16	7
17	21
18	8
19	12
20	25
21	9
22	15
23	10
24	9
25	18
26	36
27	19
28	38
29	20
30	6
31	23
32	16
33	48
34	10
35	52
36	18
37	19
38	29
39	20
40	21
41	63
42	13
43	67
44	34
45	69
46	12
47	13
48	39
49	80
50	41
51	28
52	84
53	18
54	30
55	31
56	31
57	94
58	32
59	49
60	98
61	20
62	15
63	54
64	109
65	55
66	17
67	39
68	24
69	121
70	61
71	42
72	32
73	43
74	44
75	67
76	45
77	35
78	70
79	36
80	29
81	146
82	30
83	150

[2, 2, 3, 2, 5, 3, 7, 4, 3, 11, 4, 7, 15, 8, 6, 7, 21, 8, 12, 25, 9, 15, 10, 9, 18, 36, 19, 38, 20, 6, 23, 16, 48, 10, 52, 18, 19, 29, 20, 21, 63, 13, 67, 34, 69, 12, 13, 39, 80, 41, 28, 84, 18, 30, 31, 31, 94, 32, 49, 98, 20, 15, 54, 109, 55, 17, 39, 24, 121, 61, 42, 32, 43, 44, 67, 45, 35, 70, 36, 29, 146, 30, 150]

cp's OEIS Frontend

A378744 The least k such that prime(1+n)^k > 2 * prime(n)^k.

Table of values

List of values

n	a(n)
1	2
2	2
3	3
4	2
5	5
6	3
7	7
8	4
9	3
10	11
11	4
12	7
13	15
14	8
15	6
16	7
17	21
18	8
19	12
20	25
21	9
22	15
23	10
24	9
25	18
26	36
27	19
28	38
29	20
30	6
31	23
32	16
33	48
34	10
35	52
36	18
37	19
38	29
39	20
40	21
41	63
42	13
43	67
44	34
45	69
46	12
47	13
48	39
49	80
50	41
51	28
52	84
53	18
54	30
55	31
56	31
57	94
58	32
59	49
60	98
61	20
62	15
63	54
64	109
65	55
66	17
67	39
68	24
69	121
70	61
71	42
72	32
73	43
74	44
75	67
76	45
77	35
78	70
79	36
80	29
81	146
82	30
83	150

n	a(n)
1	2
2	2
3	3
4	2
5	5
6	3
7	7
8	4
9	3
10	11
11	4
12	7
13	15
14	8
15	6
16	7
17	21
18	8
19	12
20	25
21	9
22	15
23	10
24	9
25	18
26	36
27	19
28	38
29	20
30	6
31	23
32	16
33	48
34	10
35	52
36	18
37	19
38	29
39	20
40	21
41	63
42	13
43	67
44	34
45	69
46	12
47	13
48	39
49	80
50	41
51	28
52	84
53	18
54	30
55	31
56	31
57	94
58	32
59	49
60	98
61	20
62	15
63	54
64	109
65	55
66	17
67	39
68	24
69	121
70	61
71	42
72	32
73	43
74	44
75	67
76	45
77	35
78	70
79	36
80	29
81	146
82	30
83	150

n	a(n)
1	2
2	2
3	3
4	2
5	5
6	3
7	7
8	4
9	3
10	11
11	4
12	7
13	15
14	8
15	6
16	7
17	21
18	8
19	12
20	25
21	9
22	15
23	10
24	9
25	18
26	36
27	19
28	38
29	20
30	6
31	23
32	16
33	48
34	10
35	52
36	18
37	19
38	29
39	20
40	21
41	63
42	13
43	67
44	34
45	69
46	12
47	13
48	39
49	80
50	41
51	28
52	84
53	18
54	30
55	31
56	31
57	94
58	32
59	49
60	98
61	20
62	15
63	54
64	109
65	55
66	17
67	39
68	24
69	121
70	61
71	42
72	32
73	43
74	44
75	67
76	45
77	35
78	70
79	36
80	29
81	146
82	30
83	150