A278233 - cp's OEIS frontend

A278233 Filter-sequence for GF(2)[X]-factorization: sequence that gives the least natural number with the same prime signature that (0, 1)-polynomial encoded in the binary expansion of n has when it is factored over GF(2).

n	a(n)
1	1
2	2
3	2
4	4
5	4
6	6
7	2
8	8
9	6
10	12
11	2
12	12
13	2
14	6
15	8
16	16
17	16
18	30
19	2
20	36
21	4
22	6
23	6
24	24
25	2
26	6
27	12
28	12
29	6
30	24
31	2
32	32
33	6
34	48
35	6
36	60
37	2
38	6
39	12
40	72
41	2
42	12
43	6
44	12
45	24
46	30
47	2
48	48
49	6
50	6
51	32
52	12
53	6
54	60
55	2
56	24
57	12
58	30
59	2
60	72
61	2
62	6
63	12
64	64
65	36
66	30
67	2
68	144
69	4
70	30
71	6
72	120
73	2
74	6
75	24
76	12
77	6
78	60
79	6
80	144
81	4
82	6
83	30
84	36
85	64
86	30
87	2
88	24
89	6
90	120
91	2
92	60
93	6
94	6
95	12
96	96
97	2
98	30
99	12
100	12
101	30
102	96
103	2

[1, 2, 2, 4, 4, 6, 2, 8, 6, 12, 2, 12, 2, 6, 8, 16, 16, 30, 2, 36, 4, 6, 6, 24, 2, 6, 12, 12, 6, 24, 2, 32, 6, 48, 6, 60, 2, 6, 12, 72, 2, 12, 6, 12, 24, 30, 2, 48, 6, 6, 32, 12, 6, 60, 2, 24, 12, 30, 2, 72, 2, 6, 12, 64, 36, 30, 2, 144, 4, 30, 6, 120, 2, 6, 24, 12, 6, 60, 6, 144, 4, 6, 30, 36, 64, 30, 2, 24, 6, 120, 2, 60, 6, 6, 12, 96, 2, 30, 12, 12, 30, 96, 2]

cp's OEIS Frontend

A278233 Filter-sequence for GF(2)[X]-factorization: sequence that gives the least natural number with the same prime signature that (0, 1)-polynomial encoded in the binary expansion of n has when it is factored over GF(2).

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	4
5	4
6	6
7	2
8	8
9	6
10	12
11	2
12	12
13	2
14	6
15	8
16	16
17	16
18	30
19	2
20	36
21	4
22	6
23	6
24	24
25	2
26	6
27	12
28	12
29	6
30	24
31	2
32	32
33	6
34	48
35	6
36	60
37	2
38	6
39	12
40	72
41	2
42	12
43	6
44	12
45	24
46	30
47	2
48	48
49	6
50	6
51	32
52	12
53	6
54	60
55	2
56	24
57	12
58	30
59	2
60	72
61	2
62	6
63	12
64	64
65	36
66	30
67	2
68	144
69	4
70	30
71	6
72	120
73	2
74	6
75	24
76	12
77	6
78	60
79	6
80	144
81	4
82	6
83	30
84	36
85	64
86	30
87	2
88	24
89	6
90	120
91	2
92	60
93	6
94	6
95	12
96	96
97	2
98	30
99	12
100	12
101	30
102	96
103	2

n	a(n)
1	1
2	2
3	2
4	4
5	4
6	6
7	2
8	8
9	6
10	12
11	2
12	12
13	2
14	6
15	8
16	16
17	16
18	30
19	2
20	36
21	4
22	6
23	6
24	24
25	2
26	6
27	12
28	12
29	6
30	24
31	2
32	32
33	6
34	48
35	6
36	60
37	2
38	6
39	12
40	72
41	2
42	12
43	6
44	12
45	24
46	30
47	2
48	48
49	6
50	6
51	32
52	12
53	6
54	60
55	2
56	24
57	12
58	30
59	2
60	72
61	2
62	6
63	12
64	64
65	36
66	30
67	2
68	144
69	4
70	30
71	6
72	120
73	2
74	6
75	24
76	12
77	6
78	60
79	6
80	144
81	4
82	6
83	30
84	36
85	64
86	30
87	2
88	24
89	6
90	120
91	2
92	60
93	6
94	6
95	12
96	96
97	2
98	30
99	12
100	12
101	30
102	96
103	2

n	a(n)
1	1
2	2
3	2
4	4
5	4
6	6
7	2
8	8
9	6
10	12
11	2
12	12
13	2
14	6
15	8
16	16
17	16
18	30
19	2
20	36
21	4
22	6
23	6
24	24
25	2
26	6
27	12
28	12
29	6
30	24
31	2
32	32
33	6
34	48
35	6
36	60
37	2
38	6
39	12
40	72
41	2
42	12
43	6
44	12
45	24
46	30
47	2
48	48
49	6
50	6
51	32
52	12
53	6
54	60
55	2
56	24
57	12
58	30
59	2
60	72
61	2
62	6
63	12
64	64
65	36
66	30
67	2
68	144
69	4
70	30
71	6
72	120
73	2
74	6
75	24
76	12
77	6
78	60
79	6
80	144
81	4
82	6
83	30
84	36
85	64
86	30
87	2
88	24
89	6
90	120
91	2
92	60
93	6
94	6
95	12
96	96
97	2
98	30
99	12
100	12
101	30
102	96
103	2