A355932 - cp's OEIS frontend

A355932 a(n) = gcd(sigma(n), sigma(A003961(n))), where A003961 is fully multiplicative with a(p) = nextprime(p).

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

[1, 1, 2, 1, 2, 12, 4, 5, 1, 2, 2, 2, 2, 24, 24, 1, 2, 1, 4, 2, 8, 4, 6, 60, 1, 6, 4, 4, 2, 24, 2, 7, 12, 2, 48, 13, 2, 12, 4, 10, 2, 96, 4, 14, 2, 24, 6, 2, 19, 3, 24, 2, 6, 24, 8, 120, 16, 2, 2, 24, 2, 8, 4, 1, 12, 48, 4, 2, 12, 48, 2, 5, 2, 6, 2, 4, 24, 24, 4, 2, 11, 2, 6, 8, 4, 12, 24, 20, 2, 2, 8, 6, 4, 72, 24]

cp's OEIS Frontend

A355932 a(n) = gcd(sigma(n), sigma(A003961(n))), where A003961 is fully multiplicative with a(p) = nextprime(p).

Table of values

List of values

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

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

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