A079866 - cp's OEIS frontend

A079866 a(1)=1 and for n>1: floor(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	2
7	7
8	2
9	3
10	3
11	11
12	2
13	13
14	3
15	3
16	2
17	17
18	2
19	19
20	2
21	4
22	4
23	23
24	2
25	5
26	5
27	3
28	3
29	29
30	3
31	31
32	2
33	5
34	5
35	5
36	2
37	37
38	6
39	6
40	2
41	41
42	3
43	43
44	3
45	3
46	6
47	47
48	2
49	7
50	3
51	7
52	3
53	53
54	2
55	7
56	2
57	7
58	7
59	59
60	2
61	61
62	7
63	3
64	2
65	8
66	4
67	67
68	4
69	8
70	4
71	71
72	2
73	73
74	8
75	4
76	4
77	8
78	4
79	79
80	2
81	3
82	9
83	83
84	3
85	9
86	9
87	9
88	3
89	89
90	3
91	9
92	4
93	9
94	9
95	9
96	2

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

cp's OEIS Frontend

A079866 a(1)=1 and for n>1: floor(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	2
7	7
8	2
9	3
10	3
11	11
12	2
13	13
14	3
15	3
16	2
17	17
18	2
19	19
20	2
21	4
22	4
23	23
24	2
25	5
26	5
27	3
28	3
29	29
30	3
31	31
32	2
33	5
34	5
35	5
36	2
37	37
38	6
39	6
40	2
41	41
42	3
43	43
44	3
45	3
46	6
47	47
48	2
49	7
50	3
51	7
52	3
53	53
54	2
55	7
56	2
57	7
58	7
59	59
60	2
61	61
62	7
63	3
64	2
65	8
66	4
67	67
68	4
69	8
70	4
71	71
72	2
73	73
74	8
75	4
76	4
77	8
78	4
79	79
80	2
81	3
82	9
83	83
84	3
85	9
86	9
87	9
88	3
89	89
90	3
91	9
92	4
93	9
94	9
95	9
96	2

n	a(n)
1	1
2	2
3	3
4	2
5	5
6	2
7	7
8	2
9	3
10	3
11	11
12	2
13	13
14	3
15	3
16	2
17	17
18	2
19	19
20	2
21	4
22	4
23	23
24	2
25	5
26	5
27	3
28	3
29	29
30	3
31	31
32	2
33	5
34	5
35	5
36	2
37	37
38	6
39	6
40	2
41	41
42	3
43	43
44	3
45	3
46	6
47	47
48	2
49	7
50	3
51	7
52	3
53	53
54	2
55	7
56	2
57	7
58	7
59	59
60	2
61	61
62	7
63	3
64	2
65	8
66	4
67	67
68	4
69	8
70	4
71	71
72	2
73	73
74	8
75	4
76	4
77	8
78	4
79	79
80	2
81	3
82	9
83	83
84	3
85	9
86	9
87	9
88	3
89	89
90	3
91	9
92	4
93	9
94	9
95	9
96	2

n	a(n)
1	1
2	2
3	3
4	2
5	5
6	2
7	7
8	2
9	3
10	3
11	11
12	2
13	13
14	3
15	3
16	2
17	17
18	2
19	19
20	2
21	4
22	4
23	23
24	2
25	5
26	5
27	3
28	3
29	29
30	3
31	31
32	2
33	5
34	5
35	5
36	2
37	37
38	6
39	6
40	2
41	41
42	3
43	43
44	3
45	3
46	6
47	47
48	2
49	7
50	3
51	7
52	3
53	53
54	2
55	7
56	2
57	7
58	7
59	59
60	2
61	61
62	7
63	3
64	2
65	8
66	4
67	67
68	4
69	8
70	4
71	71
72	2
73	73
74	8
75	4
76	4
77	8
78	4
79	79
80	2
81	3
82	9
83	83
84	3
85	9
86	9
87	9
88	3
89	89
90	3
91	9
92	4
93	9
94	9
95	9
96	2