A351543 - cp's OEIS frontend

A351543 Even numbers k such that there is an odd prime p that divides sigma(k), but valuation(k, p) differs from valuation(sigma(k), p), and p does not divide A003961(k), where A003961 is fully multiplicative with a(p) = nextprime(p), and sigma is the sum of divisors function.

n	a(n)
1	4
2	8
3	12
4	16
5	18
6	26
7	32
8	36
9	38
10	44
11	48
12	50
13	52
14	56
15	58
16	64
17	68
18	72
19	74
20	76
21	78
22	80
23	82
24	86
25	88
26	90
27	92
28	96
29	98
30	100
31	104
32	108
33	112
34	116
35	118
36	122
37	124
38	126
39	128
40	132
41	134
42	136
43	144
44	146
45	148
46	150
47	152
48	156
49	158
50	162
51	164
52	166
53	172
54	176
55	178
56	180
57	184
58	188
59	192
60	194
61	196
62	200
63	202
64	204
65	206
66	208
67	212
68	218
69	222
70	226

[4, 8, 12, 16, 18, 26, 32, 36, 38, 44, 48, 50, 52, 56, 58, 64, 68, 72, 74, 76, 78, 80, 82, 86, 88, 90, 92, 96, 98, 100, 104, 108, 112, 116, 118, 122, 124, 126, 128, 132, 134, 136, 144, 146, 148, 150, 152, 156, 158, 162, 164, 166, 172, 176, 178, 180, 184, 188, 192, 194, 196, 200, 202, 204, 206, 208, 212, 218, 222, 226]

cp's OEIS Frontend

A351543 Even numbers k such that there is an odd prime p that divides sigma(k), but valuation(k, p) differs from valuation(sigma(k), p), and p does not divide A003961(k), where A003961 is fully multiplicative with a(p) = nextprime(p), and sigma is the sum of divisors function.

Table of values

List of values

n	a(n)
1	4
2	8
3	12
4	16
5	18
6	26
7	32
8	36
9	38
10	44
11	48
12	50
13	52
14	56
15	58
16	64
17	68
18	72
19	74
20	76
21	78
22	80
23	82
24	86
25	88
26	90
27	92
28	96
29	98
30	100
31	104
32	108
33	112
34	116
35	118
36	122
37	124
38	126
39	128
40	132
41	134
42	136
43	144
44	146
45	148
46	150
47	152
48	156
49	158
50	162
51	164
52	166
53	172
54	176
55	178
56	180
57	184
58	188
59	192
60	194
61	196
62	200
63	202
64	204
65	206
66	208
67	212
68	218
69	222
70	226

n	a(n)
1	4
2	8
3	12
4	16
5	18
6	26
7	32
8	36
9	38
10	44
11	48
12	50
13	52
14	56
15	58
16	64
17	68
18	72
19	74
20	76
21	78
22	80
23	82
24	86
25	88
26	90
27	92
28	96
29	98
30	100
31	104
32	108
33	112
34	116
35	118
36	122
37	124
38	126
39	128
40	132
41	134
42	136
43	144
44	146
45	148
46	150
47	152
48	156
49	158
50	162
51	164
52	166
53	172
54	176
55	178
56	180
57	184
58	188
59	192
60	194
61	196
62	200
63	202
64	204
65	206
66	208
67	212
68	218
69	222
70	226

n	a(n)
1	4
2	8
3	12
4	16
5	18
6	26
7	32
8	36
9	38
10	44
11	48
12	50
13	52
14	56
15	58
16	64
17	68
18	72
19	74
20	76
21	78
22	80
23	82
24	86
25	88
26	90
27	92
28	96
29	98
30	100
31	104
32	108
33	112
34	116
35	118
36	122
37	124
38	126
39	128
40	132
41	134
42	136
43	144
44	146
45	148
46	150
47	152
48	156
49	158
50	162
51	164
52	166
53	172
54	176
55	178
56	180
57	184
58	188
59	192
60	194
61	196
62	200
63	202
64	204
65	206
66	208
67	212
68	218
69	222
70	226