A079871 - cp's OEIS frontend

A079871 a(1)=1 and for n>1: ceiling(n^(1/Omega(n)))^Omega(n), where Omega(n) is the total number of prime factors of n (A001222).

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	9
7	7
8	8
9	9
10	16
11	11
12	27
13	13
14	16
15	16
16	16
17	17
18	27
19	19
20	27
21	25
22	25
23	23
24	81
25	25
26	36
27	27
28	64
29	29
30	64
31	31
32	32
33	36
34	36
35	36
36	81
37	37
38	49
39	49
40	81
41	41
42	64
43	43
44	64
45	64
46	49
47	47
48	243
49	49
50	64
51	64
52	64
53	53
54	81
55	64
56	81
57	64
58	64
59	59
60	81
61	61
62	64
63	64
64	64
65	81
66	125
67	67
68	125
69	81
70	125
71	71

[1, 2, 3, 4, 5, 9, 7, 8, 9, 16, 11, 27, 13, 16, 16, 16, 17, 27, 19, 27, 25, 25, 23, 81, 25, 36, 27, 64, 29, 64, 31, 32, 36, 36, 36, 81, 37, 49, 49, 81, 41, 64, 43, 64, 64, 49, 47, 243, 49, 64, 64, 64, 53, 81, 64, 81, 64, 64, 59, 81, 61, 64, 64, 64, 81, 125, 67, 125, 81, 125, 71]

cp's OEIS Frontend

A079871 a(1)=1 and for n>1: ceiling(n^(1/Omega(n)))^Omega(n), where Omega(n) is the total number of prime factors of n (A001222).

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	9
7	7
8	8
9	9
10	16
11	11
12	27
13	13
14	16
15	16
16	16
17	17
18	27
19	19
20	27
21	25
22	25
23	23
24	81
25	25
26	36
27	27
28	64
29	29
30	64
31	31
32	32
33	36
34	36
35	36
36	81
37	37
38	49
39	49
40	81
41	41
42	64
43	43
44	64
45	64
46	49
47	47
48	243
49	49
50	64
51	64
52	64
53	53
54	81
55	64
56	81
57	64
58	64
59	59
60	81
61	61
62	64
63	64
64	64
65	81
66	125
67	67
68	125
69	81
70	125
71	71

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	9
7	7
8	8
9	9
10	16
11	11
12	27
13	13
14	16
15	16
16	16
17	17
18	27
19	19
20	27
21	25
22	25
23	23
24	81
25	25
26	36
27	27
28	64
29	29
30	64
31	31
32	32
33	36
34	36
35	36
36	81
37	37
38	49
39	49
40	81
41	41
42	64
43	43
44	64
45	64
46	49
47	47
48	243
49	49
50	64
51	64
52	64
53	53
54	81
55	64
56	81
57	64
58	64
59	59
60	81
61	61
62	64
63	64
64	64
65	81
66	125
67	67
68	125
69	81
70	125
71	71

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	9
7	7
8	8
9	9
10	16
11	11
12	27
13	13
14	16
15	16
16	16
17	17
18	27
19	19
20	27
21	25
22	25
23	23
24	81
25	25
26	36
27	27
28	64
29	29
30	64
31	31
32	32
33	36
34	36
35	36
36	81
37	37
38	49
39	49
40	81
41	41
42	64
43	43
44	64
45	64
46	49
47	47
48	243
49	49
50	64
51	64
52	64
53	53
54	81
55	64
56	81
57	64
58	64
59	59
60	81
61	61
62	64
63	64
64	64
65	81
66	125
67	67
68	125
69	81
70	125
71	71