A338038 - cp's OEIS frontend

A338038 a(n) is the sum of the primes and exponents in the prime factorization of n, but ignoring 1-exponents.

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	5
7	7
8	5
9	5
10	7
11	11
12	7
13	13
14	9
15	8
16	6
17	17
18	7
19	19
20	9
21	10
22	13
23	23
24	8
25	7
26	15
27	6
28	11
29	29
30	10
31	31
32	7
33	14
34	19
35	12
36	9
37	37
38	21
39	16
40	10
41	41
42	12
43	43
44	15
45	10
46	25
47	47
48	9
49	9
50	9
51	20
52	17
53	53
54	8
55	16
56	12
57	22
58	31
59	59
60	12
61	61
62	33
63	12
64	8
65	18
66	16
67	67
68	21
69	26
70	14
71	71
72	10

[0, 2, 3, 4, 5, 5, 7, 5, 5, 7, 11, 7, 13, 9, 8, 6, 17, 7, 19, 9, 10, 13, 23, 8, 7, 15, 6, 11, 29, 10, 31, 7, 14, 19, 12, 9, 37, 21, 16, 10, 41, 12, 43, 15, 10, 25, 47, 9, 9, 9, 20, 17, 53, 8, 16, 12, 22, 31, 59, 12, 61, 33, 12, 8, 18, 16, 67, 21, 26, 14, 71, 10]

cp's OEIS Frontend

A338038 a(n) is the sum of the primes and exponents in the prime factorization of n, but ignoring 1-exponents.

Table of values

List of values

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	5
7	7
8	5
9	5
10	7
11	11
12	7
13	13
14	9
15	8
16	6
17	17
18	7
19	19
20	9
21	10
22	13
23	23
24	8
25	7
26	15
27	6
28	11
29	29
30	10
31	31
32	7
33	14
34	19
35	12
36	9
37	37
38	21
39	16
40	10
41	41
42	12
43	43
44	15
45	10
46	25
47	47
48	9
49	9
50	9
51	20
52	17
53	53
54	8
55	16
56	12
57	22
58	31
59	59
60	12
61	61
62	33
63	12
64	8
65	18
66	16
67	67
68	21
69	26
70	14
71	71
72	10

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	5
7	7
8	5
9	5
10	7
11	11
12	7
13	13
14	9
15	8
16	6
17	17
18	7
19	19
20	9
21	10
22	13
23	23
24	8
25	7
26	15
27	6
28	11
29	29
30	10
31	31
32	7
33	14
34	19
35	12
36	9
37	37
38	21
39	16
40	10
41	41
42	12
43	43
44	15
45	10
46	25
47	47
48	9
49	9
50	9
51	20
52	17
53	53
54	8
55	16
56	12
57	22
58	31
59	59
60	12
61	61
62	33
63	12
64	8
65	18
66	16
67	67
68	21
69	26
70	14
71	71
72	10

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	5
7	7
8	5
9	5
10	7
11	11
12	7
13	13
14	9
15	8
16	6
17	17
18	7
19	19
20	9
21	10
22	13
23	23
24	8
25	7
26	15
27	6
28	11
29	29
30	10
31	31
32	7
33	14
34	19
35	12
36	9
37	37
38	21
39	16
40	10
41	41
42	12
43	43
44	15
45	10
46	25
47	47
48	9
49	9
50	9
51	20
52	17
53	53
54	8
55	16
56	12
57	22
58	31
59	59
60	12
61	61
62	33
63	12
64	8
65	18
66	16
67	67
68	21
69	26
70	14
71	71
72	10