A277272 - cp's OEIS frontend

A277272 a(n+1) is the smallest number not already in the sequence whose sum of prime factors (with repetition) shares a factor with the sum of the prime factors of a(n); a(1)=2.

n	a(n)
1	2
2	4
3	8
4	3
5	9
6	14
7	20
8	24
9	26
10	5
11	6
12	21
13	15
14	16
15	18
16	25
17	30
18	32
19	33
20	7
21	10
22	12
23	38
24	27
25	35
26	36
27	39
28	42
29	44
30	46
31	51
32	49
33	50
34	55
35	57
36	11
37	28
38	40
39	45
40	48
41	54
42	62
43	60
44	64
45	65
46	66
47	69
48	13
49	22
50	56
51	63
52	74
53	68
54	70
55	72
56	77
57	78
58	81
59	84
60	85
61	87
62	91
63	86
64	92
65	95
66	93
67	17
68	52
69	88
70	99
71	145
72	98
73	100
74	94
75	115
76	102

[2, 4, 8, 3, 9, 14, 20, 24, 26, 5, 6, 21, 15, 16, 18, 25, 30, 32, 33, 7, 10, 12, 38, 27, 35, 36, 39, 42, 44, 46, 51, 49, 50, 55, 57, 11, 28, 40, 45, 48, 54, 62, 60, 64, 65, 66, 69, 13, 22, 56, 63, 74, 68, 70, 72, 77, 78, 81, 84, 85, 87, 91, 86, 92, 95, 93, 17, 52, 88, 99, 145, 98, 100, 94, 115, 102]

cp's OEIS Frontend

A277272 a(n+1) is the smallest number not already in the sequence whose sum of prime factors (with repetition) shares a factor with the sum of the prime factors of a(n); a(1)=2.

Table of values

List of values

n	a(n)
1	2
2	4
3	8
4	3
5	9
6	14
7	20
8	24
9	26
10	5
11	6
12	21
13	15
14	16
15	18
16	25
17	30
18	32
19	33
20	7
21	10
22	12
23	38
24	27
25	35
26	36
27	39
28	42
29	44
30	46
31	51
32	49
33	50
34	55
35	57
36	11
37	28
38	40
39	45
40	48
41	54
42	62
43	60
44	64
45	65
46	66
47	69
48	13
49	22
50	56
51	63
52	74
53	68
54	70
55	72
56	77
57	78
58	81
59	84
60	85
61	87
62	91
63	86
64	92
65	95
66	93
67	17
68	52
69	88
70	99
71	145
72	98
73	100
74	94
75	115
76	102

n	a(n)
1	2
2	4
3	8
4	3
5	9
6	14
7	20
8	24
9	26
10	5
11	6
12	21
13	15
14	16
15	18
16	25
17	30
18	32
19	33
20	7
21	10
22	12
23	38
24	27
25	35
26	36
27	39
28	42
29	44
30	46
31	51
32	49
33	50
34	55
35	57
36	11
37	28
38	40
39	45
40	48
41	54
42	62
43	60
44	64
45	65
46	66
47	69
48	13
49	22
50	56
51	63
52	74
53	68
54	70
55	72
56	77
57	78
58	81
59	84
60	85
61	87
62	91
63	86
64	92
65	95
66	93
67	17
68	52
69	88
70	99
71	145
72	98
73	100
74	94
75	115
76	102

n	a(n)
1	2
2	4
3	8
4	3
5	9
6	14
7	20
8	24
9	26
10	5
11	6
12	21
13	15
14	16
15	18
16	25
17	30
18	32
19	33
20	7
21	10
22	12
23	38
24	27
25	35
26	36
27	39
28	42
29	44
30	46
31	51
32	49
33	50
34	55
35	57
36	11
37	28
38	40
39	45
40	48
41	54
42	62
43	60
44	64
45	65
46	66
47	69
48	13
49	22
50	56
51	63
52	74
53	68
54	70
55	72
56	77
57	78
58	81
59	84
60	85
61	87
62	91
63	86
64	92
65	95
66	93
67	17
68	52
69	88
70	99
71	145
72	98
73	100
74	94
75	115
76	102