A351553 - cp's OEIS frontend

A351553 Even numbers k such that there are no odd prime factors p of sigma(k) such that p does not divide A003961(k) and the valuation(k, p) is different from valuation(sigma(k), p), where A003961 is fully multiplicative with a(p) = nextprime(p), and sigma is the sum of divisors function.

n	a(n)
1	2
2	6
3	10
4	14
5	20
6	22
7	24
8	28
9	30
10	34
11	40
12	42
13	46
14	54
15	60
16	62
17	66
18	70
19	84
20	94
21	102
22	106
23	110
24	114
25	120
26	130
27	138
28	140
29	142
30	154
31	160
32	168
33	170
34	174
35	182
36	186
37	190
38	198
39	210
40	214
41	216
42	220
43	224
44	230
45	238
46	254
47	260
48	264
49	270
50	280
51	282
52	290
53	308
54	310
55	318
56	322
57	330
58	340
59	354
60	374
61	378
62	380
63	382
64	390
65	408
66	410
67	420
68	426

[2, 6, 10, 14, 20, 22, 24, 28, 30, 34, 40, 42, 46, 54, 60, 62, 66, 70, 84, 94, 102, 106, 110, 114, 120, 130, 138, 140, 142, 154, 160, 168, 170, 174, 182, 186, 190, 198, 210, 214, 216, 220, 224, 230, 238, 254, 260, 264, 270, 280, 282, 290, 308, 310, 318, 322, 330, 340, 354, 374, 378, 380, 382, 390, 408, 410, 420, 426]

cp's OEIS Frontend

A351553 Even numbers k such that there are no odd prime factors p of sigma(k) such that p does not divide A003961(k) and the valuation(k, p) is different from valuation(sigma(k), p), 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	2
2	6
3	10
4	14
5	20
6	22
7	24
8	28
9	30
10	34
11	40
12	42
13	46
14	54
15	60
16	62
17	66
18	70
19	84
20	94
21	102
22	106
23	110
24	114
25	120
26	130
27	138
28	140
29	142
30	154
31	160
32	168
33	170
34	174
35	182
36	186
37	190
38	198
39	210
40	214
41	216
42	220
43	224
44	230
45	238
46	254
47	260
48	264
49	270
50	280
51	282
52	290
53	308
54	310
55	318
56	322
57	330
58	340
59	354
60	374
61	378
62	380
63	382
64	390
65	408
66	410
67	420
68	426

n	a(n)
1	2
2	6
3	10
4	14
5	20
6	22
7	24
8	28
9	30
10	34
11	40
12	42
13	46
14	54
15	60
16	62
17	66
18	70
19	84
20	94
21	102
22	106
23	110
24	114
25	120
26	130
27	138
28	140
29	142
30	154
31	160
32	168
33	170
34	174
35	182
36	186
37	190
38	198
39	210
40	214
41	216
42	220
43	224
44	230
45	238
46	254
47	260
48	264
49	270
50	280
51	282
52	290
53	308
54	310
55	318
56	322
57	330
58	340
59	354
60	374
61	378
62	380
63	382
64	390
65	408
66	410
67	420
68	426

n	a(n)
1	2
2	6
3	10
4	14
5	20
6	22
7	24
8	28
9	30
10	34
11	40
12	42
13	46
14	54
15	60
16	62
17	66
18	70
19	84
20	94
21	102
22	106
23	110
24	114
25	120
26	130
27	138
28	140
29	142
30	154
31	160
32	168
33	170
34	174
35	182
36	186
37	190
38	198
39	210
40	214
41	216
42	220
43	224
44	230
45	238
46	254
47	260
48	264
49	270
50	280
51	282
52	290
53	308
54	310
55	318
56	322
57	330
58	340
59	354
60	374
61	378
62	380
63	382
64	390
65	408
66	410
67	420
68	426