A335403 - cp's OEIS frontend

A335403 If n = Product_{i=1..k} p_i^e_i then a(n) = Sum_{i=1..k} e_i * prime(p_i).

n	a(n)
1	0
2	3
3	5
4	6
5	11
6	8
7	17
8	9
9	10
10	14
11	31
12	11
13	41
14	20
15	16
16	12
17	59
18	13
19	67
20	17
21	22
22	34
23	83
24	14
25	22
26	44
27	15
28	23
29	109
30	19
31	127
32	15
33	36
34	62
35	28
36	16
37	157
38	70
39	46
40	20
41	179
42	25
43	191
44	37
45	21
46	86
47	211
48	17
49	34
50	25
51	64
52	47
53	241
54	18
55	42
56	26
57	72
58	112
59	277
60	22
61	283
62	130
63	27
64	18

[0, 3, 5, 6, 11, 8, 17, 9, 10, 14, 31, 11, 41, 20, 16, 12, 59, 13, 67, 17, 22, 34, 83, 14, 22, 44, 15, 23, 109, 19, 127, 15, 36, 62, 28, 16, 157, 70, 46, 20, 179, 25, 191, 37, 21, 86, 211, 17, 34, 25, 64, 47, 241, 18, 42, 26, 72, 112, 277, 22, 283, 130, 27, 18]

cp's OEIS Frontend

A335403 If n = Product_{i=1..k} p_i^e_i then a(n) = Sum_{i=1..k} e_i * prime(p_i).

Table of values

List of values

n	a(n)
1	0
2	3
3	5
4	6
5	11
6	8
7	17
8	9
9	10
10	14
11	31
12	11
13	41
14	20
15	16
16	12
17	59
18	13
19	67
20	17
21	22
22	34
23	83
24	14
25	22
26	44
27	15
28	23
29	109
30	19
31	127
32	15
33	36
34	62
35	28
36	16
37	157
38	70
39	46
40	20
41	179
42	25
43	191
44	37
45	21
46	86
47	211
48	17
49	34
50	25
51	64
52	47
53	241
54	18
55	42
56	26
57	72
58	112
59	277
60	22
61	283
62	130
63	27
64	18

n	a(n)
1	0
2	3
3	5
4	6
5	11
6	8
7	17
8	9
9	10
10	14
11	31
12	11
13	41
14	20
15	16
16	12
17	59
18	13
19	67
20	17
21	22
22	34
23	83
24	14
25	22
26	44
27	15
28	23
29	109
30	19
31	127
32	15
33	36
34	62
35	28
36	16
37	157
38	70
39	46
40	20
41	179
42	25
43	191
44	37
45	21
46	86
47	211
48	17
49	34
50	25
51	64
52	47
53	241
54	18
55	42
56	26
57	72
58	112
59	277
60	22
61	283
62	130
63	27
64	18

n	a(n)
1	0
2	3
3	5
4	6
5	11
6	8
7	17
8	9
9	10
10	14
11	31
12	11
13	41
14	20
15	16
16	12
17	59
18	13
19	67
20	17
21	22
22	34
23	83
24	14
25	22
26	44
27	15
28	23
29	109
30	19
31	127
32	15
33	36
34	62
35	28
36	16
37	157
38	70
39	46
40	20
41	179
42	25
43	191
44	37
45	21
46	86
47	211
48	17
49	34
50	25
51	64
52	47
53	241
54	18
55	42
56	26
57	72
58	112
59	277
60	22
61	283
62	130
63	27
64	18