A251725 - cp's OEIS frontend

A251725 Smallest number b such that in base-b representation the prime factors of n have equal lengths.

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

[1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 1, 2, 1, 8, 3, 1, 1, 2, 1, 6, 3, 12, 1, 2, 1, 14, 1, 8, 1, 6, 1, 1, 12, 18, 2, 2, 1, 20, 14, 6, 1, 8, 1, 12, 3, 24, 1, 2, 1, 6, 18, 14, 1, 2, 4, 8, 20, 30, 1, 6, 1, 32, 3, 1, 4, 12, 1, 18, 24, 8, 1, 2, 1, 38, 3, 20, 4, 14, 1, 6, 1, 42, 1, 8, 5, 44, 30, 12, 1, 6, 4, 24, 32, 48, 5, 2, 1, 8, 12, 6]

cp's OEIS Frontend

A251725 Smallest number b such that in base-b representation the prime factors of n have equal lengths.

Table of values

List of values

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

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

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