A137929 - cp's OEIS frontend

A137929 If n = the k-th prime power (including 1), then a(n) = the (k+1)th prime power. If n = the k-th positive integer that is not a prime power, then a(n) = the (k+1)th positive integer that is not a prime power.

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	10
7	8
8	9
9	11
10	12
11	13
12	14
13	16
14	15
15	18
16	17
17	19
18	20
19	23
20	21
21	22
22	24
23	25
24	26
25	27
26	28
27	29
28	30
29	31
30	33
31	32
32	37
33	34
34	35
35	36
36	38
37	41
38	39
39	40
40	42
41	43
42	44
43	47
44	45
45	46
46	48
47	49
48	50
49	53
50	51
51	52
52	54
53	59
54	55
55	56
56	57
57	58
58	60
59	61
60	62
61	64
62	63
63	65
64	67
65	66
66	68
67	71

[2, 3, 4, 5, 7, 10, 8, 9, 11, 12, 13, 14, 16, 15, 18, 17, 19, 20, 23, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 33, 32, 37, 34, 35, 36, 38, 41, 39, 40, 42, 43, 44, 47, 45, 46, 48, 49, 50, 53, 51, 52, 54, 59, 55, 56, 57, 58, 60, 61, 62, 64, 63, 65, 67, 66, 68, 71]

cp's OEIS Frontend

A137929 If n = the k-th prime power (including 1), then a(n) = the (k+1)th prime power. If n = the k-th positive integer that is not a prime power, then a(n) = the (k+1)th positive integer that is not a prime power.

Table of values

List of values

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	10
7	8
8	9
9	11
10	12
11	13
12	14
13	16
14	15
15	18
16	17
17	19
18	20
19	23
20	21
21	22
22	24
23	25
24	26
25	27
26	28
27	29
28	30
29	31
30	33
31	32
32	37
33	34
34	35
35	36
36	38
37	41
38	39
39	40
40	42
41	43
42	44
43	47
44	45
45	46
46	48
47	49
48	50
49	53
50	51
51	52
52	54
53	59
54	55
55	56
56	57
57	58
58	60
59	61
60	62
61	64
62	63
63	65
64	67
65	66
66	68
67	71

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	10
7	8
8	9
9	11
10	12
11	13
12	14
13	16
14	15
15	18
16	17
17	19
18	20
19	23
20	21
21	22
22	24
23	25
24	26
25	27
26	28
27	29
28	30
29	31
30	33
31	32
32	37
33	34
34	35
35	36
36	38
37	41
38	39
39	40
40	42
41	43
42	44
43	47
44	45
45	46
46	48
47	49
48	50
49	53
50	51
51	52
52	54
53	59
54	55
55	56
56	57
57	58
58	60
59	61
60	62
61	64
62	63
63	65
64	67
65	66
66	68
67	71

n	a(n)
1	2
2	3
3	4
4	5
5	7
6	10
7	8
8	9
9	11
10	12
11	13
12	14
13	16
14	15
15	18
16	17
17	19
18	20
19	23
20	21
21	22
22	24
23	25
24	26
25	27
26	28
27	29
28	30
29	31
30	33
31	32
32	37
33	34
34	35
35	36
36	38
37	41
38	39
39	40
40	42
41	43
42	44
43	47
44	45
45	46
46	48
47	49
48	50
49	53
50	51
51	52
52	54
53	59
54	55
55	56
56	57
57	58
58	60
59	61
60	62
61	64
62	63
63	65
64	67
65	66
66	68
67	71