A373376 - cp's OEIS frontend

A373376 Numbers k such that gcd(A001414(k), A003415(k)) is odd, where A001414 is the sum of prime factors with repetition, and A003415 is the arithmetic derivative.

n	a(n)
1	2
2	3
3	5
4	6
5	7
6	10
7	11
8	12
9	13
10	14
11	17
12	18
13	19
14	20
15	22
16	23
17	24
18	26
19	27
20	28
21	29
22	30
23	31
24	34
25	37
26	38
27	40
28	41
29	42
30	43
31	44
32	45
33	46
34	47
35	48
36	50
37	52
38	53
39	54
40	56
41	58
42	59
43	61
44	62
45	63
46	66
47	67
48	68
49	70
50	71
51	73
52	74
53	75
54	76
55	78
56	79
57	80
58	82
59	83
60	86
61	88
62	89
63	90
64	92
65	94
66	96
67	97
68	98
69	99
70	101
71	102
72	103
73	104
74	105
75	106
76	107
77	108
78	109

[2, 3, 5, 6, 7, 10, 11, 12, 13, 14, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 29, 30, 31, 34, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 52, 53, 54, 56, 58, 59, 61, 62, 63, 66, 67, 68, 70, 71, 73, 74, 75, 76, 78, 79, 80, 82, 83, 86, 88, 89, 90, 92, 94, 96, 97, 98, 99, 101, 102, 103, 104, 105, 106, 107, 108, 109]

cp's OEIS Frontend

A373376 Numbers k such that gcd(A001414(k), A003415(k)) is odd, where A001414 is the sum of prime factors with repetition, and A003415 is the arithmetic derivative.

Table of values

List of values

n	a(n)
1	2
2	3
3	5
4	6
5	7
6	10
7	11
8	12
9	13
10	14
11	17
12	18
13	19
14	20
15	22
16	23
17	24
18	26
19	27
20	28
21	29
22	30
23	31
24	34
25	37
26	38
27	40
28	41
29	42
30	43
31	44
32	45
33	46
34	47
35	48
36	50
37	52
38	53
39	54
40	56
41	58
42	59
43	61
44	62
45	63
46	66
47	67
48	68
49	70
50	71
51	73
52	74
53	75
54	76
55	78
56	79
57	80
58	82
59	83
60	86
61	88
62	89
63	90
64	92
65	94
66	96
67	97
68	98
69	99
70	101
71	102
72	103
73	104
74	105
75	106
76	107
77	108
78	109

n	a(n)
1	2
2	3
3	5
4	6
5	7
6	10
7	11
8	12
9	13
10	14
11	17
12	18
13	19
14	20
15	22
16	23
17	24
18	26
19	27
20	28
21	29
22	30
23	31
24	34
25	37
26	38
27	40
28	41
29	42
30	43
31	44
32	45
33	46
34	47
35	48
36	50
37	52
38	53
39	54
40	56
41	58
42	59
43	61
44	62
45	63
46	66
47	67
48	68
49	70
50	71
51	73
52	74
53	75
54	76
55	78
56	79
57	80
58	82
59	83
60	86
61	88
62	89
63	90
64	92
65	94
66	96
67	97
68	98
69	99
70	101
71	102
72	103
73	104
74	105
75	106
76	107
77	108
78	109

n	a(n)
1	2
2	3
3	5
4	6
5	7
6	10
7	11
8	12
9	13
10	14
11	17
12	18
13	19
14	20
15	22
16	23
17	24
18	26
19	27
20	28
21	29
22	30
23	31
24	34
25	37
26	38
27	40
28	41
29	42
30	43
31	44
32	45
33	46
34	47
35	48
36	50
37	52
38	53
39	54
40	56
41	58
42	59
43	61
44	62
45	63
46	66
47	67
48	68
49	70
50	71
51	73
52	74
53	75
54	76
55	78
56	79
57	80
58	82
59	83
60	86
61	88
62	89
63	90
64	92
65	94
66	96
67	97
68	98
69	99
70	101
71	102
72	103
73	104
74	105
75	106
76	107
77	108
78	109