A252374 - cp's OEIS frontend

A252374 a(n) = exponent k for the smallest r such that r^k <= spf(n) and gpf(n) < r^(k+1), for some k >= 0, where spf and gpf (smallest and greatest prime factor of n) are given by A020639(n) and A006530(n).

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	2
8	1
9	1
10	0
11	3
12	1
13	3
14	0
15	1
16	1
17	4
18	1
19	4
20	0
21	1
22	0
23	4
24	1
25	2
26	0
27	1
28	0
29	4
30	0
31	4
32	1
33	0
34	0
35	2
36	1
37	5
38	0
39	0
40	0
41	5
42	0
43	5
44	0
45	1
46	0
47	5
48	1
49	2
50	0
51	0
52	0
53	5
54	1
55	1
56	0
57	0
58	0
59	5
60	0
61	5
62	0
63	1
64	1
65	1
66	0
67	6
68	0
69	0
70	0
71	6
72	1
73	6
74	0
75	1
76	0
77	1
78	0
79	6
80	0
81	1
82	0
83	6
84	0
85	1
86	0
87	0
88	0
89	6
90	0
91	1
92	0
93	0
94	0
95	1
96	1
97	6
98	0
99	0
100	0
101	6
102	0
103	6
104	0
105	1
106	0
107	6
108	1
109	6
110	0
111	0
112	0
113	6
114	0
115	1
116	0
117	0
118	0
119	1
120	0

[0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 3, 1, 3, 0, 1, 1, 4, 1, 4, 0, 1, 0, 4, 1, 2, 0, 1, 0, 4, 0, 4, 1, 0, 0, 2, 1, 5, 0, 0, 0, 5, 0, 5, 0, 1, 0, 5, 1, 2, 0, 0, 0, 5, 1, 1, 0, 0, 0, 5, 0, 5, 0, 1, 1, 1, 0, 6, 0, 0, 0, 6, 1, 6, 0, 1, 0, 1, 0, 6, 0, 1, 0, 6, 0, 1, 0, 0, 0, 6, 0, 1, 0, 0, 0, 1, 1, 6, 0, 0, 0, 6, 0, 6, 0, 1, 0, 6, 1, 6, 0, 0, 0, 6, 0, 1, 0, 0, 0, 1, 0]

cp's OEIS Frontend

A252374 a(n) = exponent k for the smallest r such that r^k <= spf(n) and gpf(n) < r^(k+1), for some k >= 0, where spf and gpf (smallest and greatest prime factor of n) are given by A020639(n) and A006530(n).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	2
8	1
9	1
10	0
11	3
12	1
13	3
14	0
15	1
16	1
17	4
18	1
19	4
20	0
21	1
22	0
23	4
24	1
25	2
26	0
27	1
28	0
29	4
30	0
31	4
32	1
33	0
34	0
35	2
36	1
37	5
38	0
39	0
40	0
41	5
42	0
43	5
44	0
45	1
46	0
47	5
48	1
49	2
50	0
51	0
52	0
53	5
54	1
55	1
56	0
57	0
58	0
59	5
60	0
61	5
62	0
63	1
64	1
65	1
66	0
67	6
68	0
69	0
70	0
71	6
72	1
73	6
74	0
75	1
76	0
77	1
78	0
79	6
80	0
81	1
82	0
83	6
84	0
85	1
86	0
87	0
88	0
89	6
90	0
91	1
92	0
93	0
94	0
95	1
96	1
97	6
98	0
99	0
100	0
101	6
102	0
103	6
104	0
105	1
106	0
107	6
108	1
109	6
110	0
111	0
112	0
113	6
114	0
115	1
116	0
117	0
118	0
119	1
120	0

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	2
8	1
9	1
10	0
11	3
12	1
13	3
14	0
15	1
16	1
17	4
18	1
19	4
20	0
21	1
22	0
23	4
24	1
25	2
26	0
27	1
28	0
29	4
30	0
31	4
32	1
33	0
34	0
35	2
36	1
37	5
38	0
39	0
40	0
41	5
42	0
43	5
44	0
45	1
46	0
47	5
48	1
49	2
50	0
51	0
52	0
53	5
54	1
55	1
56	0
57	0
58	0
59	5
60	0
61	5
62	0
63	1
64	1
65	1
66	0
67	6
68	0
69	0
70	0
71	6
72	1
73	6
74	0
75	1
76	0
77	1
78	0
79	6
80	0
81	1
82	0
83	6
84	0
85	1
86	0
87	0
88	0
89	6
90	0
91	1
92	0
93	0
94	0
95	1
96	1
97	6
98	0
99	0
100	0
101	6
102	0
103	6
104	0
105	1
106	0
107	6
108	1
109	6
110	0
111	0
112	0
113	6
114	0
115	1
116	0
117	0
118	0
119	1
120	0

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	2
8	1
9	1
10	0
11	3
12	1
13	3
14	0
15	1
16	1
17	4
18	1
19	4
20	0
21	1
22	0
23	4
24	1
25	2
26	0
27	1
28	0
29	4
30	0
31	4
32	1
33	0
34	0
35	2
36	1
37	5
38	0
39	0
40	0
41	5
42	0
43	5
44	0
45	1
46	0
47	5
48	1
49	2
50	0
51	0
52	0
53	5
54	1
55	1
56	0
57	0
58	0
59	5
60	0
61	5
62	0
63	1
64	1
65	1
66	0
67	6
68	0
69	0
70	0
71	6
72	1
73	6
74	0
75	1
76	0
77	1
78	0
79	6
80	0
81	1
82	0
83	6
84	0
85	1
86	0
87	0
88	0
89	6
90	0
91	1
92	0
93	0
94	0
95	1
96	1
97	6
98	0
99	0
100	0
101	6
102	0
103	6
104	0
105	1
106	0
107	6
108	1
109	6
110	0
111	0
112	0
113	6
114	0
115	1
116	0
117	0
118	0
119	1
120	0