A079870 - cp's OEIS frontend

A079870 a(1)=1 and for n>1: ceiling(n^(1/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	2
5	5
6	3
7	7
8	2
9	3
10	4
11	11
12	3
13	13
14	4
15	4
16	2
17	17
18	3
19	19
20	3
21	5
22	5
23	23
24	3
25	5
26	6
27	3
28	4
29	29
30	4
31	31
32	2
33	6
34	6
35	6
36	3
37	37
38	7
39	7
40	3
41	41
42	4
43	43
44	4
45	4
46	7
47	47
48	3
49	7
50	4
51	8
52	4
53	53
54	3
55	8
56	3
57	8
58	8
59	59
60	3
61	61
62	8
63	4
64	2
65	9
66	5
67	67
68	5
69	9
70	5
71	71
72	3
73	73
74	9
75	5
76	5
77	9
78	5
79	79
80	3
81	3
82	10
83	83
84	4
85	10
86	10
87	10
88	4
89	89
90	4
91	10
92	5
93	10

[1, 2, 3, 2, 5, 3, 7, 2, 3, 4, 11, 3, 13, 4, 4, 2, 17, 3, 19, 3, 5, 5, 23, 3, 5, 6, 3, 4, 29, 4, 31, 2, 6, 6, 6, 3, 37, 7, 7, 3, 41, 4, 43, 4, 4, 7, 47, 3, 7, 4, 8, 4, 53, 3, 8, 3, 8, 8, 59, 3, 61, 8, 4, 2, 9, 5, 67, 5, 9, 5, 71, 3, 73, 9, 5, 5, 9, 5, 79, 3, 3, 10, 83, 4, 10, 10, 10, 4, 89, 4, 10, 5, 10]

cp's OEIS Frontend

A079870 a(1)=1 and for n>1: ceiling(n^(1/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	2
5	5
6	3
7	7
8	2
9	3
10	4
11	11
12	3
13	13
14	4
15	4
16	2
17	17
18	3
19	19
20	3
21	5
22	5
23	23
24	3
25	5
26	6
27	3
28	4
29	29
30	4
31	31
32	2
33	6
34	6
35	6
36	3
37	37
38	7
39	7
40	3
41	41
42	4
43	43
44	4
45	4
46	7
47	47
48	3
49	7
50	4
51	8
52	4
53	53
54	3
55	8
56	3
57	8
58	8
59	59
60	3
61	61
62	8
63	4
64	2
65	9
66	5
67	67
68	5
69	9
70	5
71	71
72	3
73	73
74	9
75	5
76	5
77	9
78	5
79	79
80	3
81	3
82	10
83	83
84	4
85	10
86	10
87	10
88	4
89	89
90	4
91	10
92	5
93	10

n	a(n)
1	1
2	2
3	3
4	2
5	5
6	3
7	7
8	2
9	3
10	4
11	11
12	3
13	13
14	4
15	4
16	2
17	17
18	3
19	19
20	3
21	5
22	5
23	23
24	3
25	5
26	6
27	3
28	4
29	29
30	4
31	31
32	2
33	6
34	6
35	6
36	3
37	37
38	7
39	7
40	3
41	41
42	4
43	43
44	4
45	4
46	7
47	47
48	3
49	7
50	4
51	8
52	4
53	53
54	3
55	8
56	3
57	8
58	8
59	59
60	3
61	61
62	8
63	4
64	2
65	9
66	5
67	67
68	5
69	9
70	5
71	71
72	3
73	73
74	9
75	5
76	5
77	9
78	5
79	79
80	3
81	3
82	10
83	83
84	4
85	10
86	10
87	10
88	4
89	89
90	4
91	10
92	5
93	10

n	a(n)
1	1
2	2
3	3
4	2
5	5
6	3
7	7
8	2
9	3
10	4
11	11
12	3
13	13
14	4
15	4
16	2
17	17
18	3
19	19
20	3
21	5
22	5
23	23
24	3
25	5
26	6
27	3
28	4
29	29
30	4
31	31
32	2
33	6
34	6
35	6
36	3
37	37
38	7
39	7
40	3
41	41
42	4
43	43
44	4
45	4
46	7
47	47
48	3
49	7
50	4
51	8
52	4
53	53
54	3
55	8
56	3
57	8
58	8
59	59
60	3
61	61
62	8
63	4
64	2
65	9
66	5
67	67
68	5
69	9
70	5
71	71
72	3
73	73
74	9
75	5
76	5
77	9
78	5
79	79
80	3
81	3
82	10
83	83
84	4
85	10
86	10
87	10
88	4
89	89
90	4
91	10
92	5
93	10