A098383 - cp's OEIS frontend

A098383 Define a function f on the positive integers by: if n is 1 or composite, stop; but if n = prime(k) then f(n) = k; a(n) = sum of terms in trajectory of n under repeated application of f.

n	a(n)
1	1
2	3
3	6
4	4
5	11
6	6
7	11
8	8
9	9
10	10
11	22
12	12
13	19
14	14
15	15
16	16
17	28
18	18
19	27
20	20
21	21
22	22
23	32
24	24
25	25
26	26
27	27
28	28
29	39
30	30
31	53
32	32
33	33
34	34
35	35
36	36
37	49
38	38
39	39
40	40
41	60
42	42
43	57
44	44
45	45
46	46
47	62
48	48
49	49
50	50
51	51
52	52
53	69
54	54
55	55
56	56
57	57
58	58
59	87
60	60
61	79
62	62
63	63
64	64
65	65
66	66
67	94
68	68
69	69
70	70
71	91
72	72

[1, 3, 6, 4, 11, 6, 11, 8, 9, 10, 22, 12, 19, 14, 15, 16, 28, 18, 27, 20, 21, 22, 32, 24, 25, 26, 27, 28, 39, 30, 53, 32, 33, 34, 35, 36, 49, 38, 39, 40, 60, 42, 57, 44, 45, 46, 62, 48, 49, 50, 51, 52, 69, 54, 55, 56, 57, 58, 87, 60, 79, 62, 63, 64, 65, 66, 94, 68, 69, 70, 91, 72]

cp's OEIS Frontend

A098383 Define a function f on the positive integers by: if n is 1 or composite, stop; but if n = prime(k) then f(n) = k; a(n) = sum of terms in trajectory of n under repeated application of f.

Table of values

List of values

n	a(n)
1	1
2	3
3	6
4	4
5	11
6	6
7	11
8	8
9	9
10	10
11	22
12	12
13	19
14	14
15	15
16	16
17	28
18	18
19	27
20	20
21	21
22	22
23	32
24	24
25	25
26	26
27	27
28	28
29	39
30	30
31	53
32	32
33	33
34	34
35	35
36	36
37	49
38	38
39	39
40	40
41	60
42	42
43	57
44	44
45	45
46	46
47	62
48	48
49	49
50	50
51	51
52	52
53	69
54	54
55	55
56	56
57	57
58	58
59	87
60	60
61	79
62	62
63	63
64	64
65	65
66	66
67	94
68	68
69	69
70	70
71	91
72	72

n	a(n)
1	1
2	3
3	6
4	4
5	11
6	6
7	11
8	8
9	9
10	10
11	22
12	12
13	19
14	14
15	15
16	16
17	28
18	18
19	27
20	20
21	21
22	22
23	32
24	24
25	25
26	26
27	27
28	28
29	39
30	30
31	53
32	32
33	33
34	34
35	35
36	36
37	49
38	38
39	39
40	40
41	60
42	42
43	57
44	44
45	45
46	46
47	62
48	48
49	49
50	50
51	51
52	52
53	69
54	54
55	55
56	56
57	57
58	58
59	87
60	60
61	79
62	62
63	63
64	64
65	65
66	66
67	94
68	68
69	69
70	70
71	91
72	72

n	a(n)
1	1
2	3
3	6
4	4
5	11
6	6
7	11
8	8
9	9
10	10
11	22
12	12
13	19
14	14
15	15
16	16
17	28
18	18
19	27
20	20
21	21
22	22
23	32
24	24
25	25
26	26
27	27
28	28
29	39
30	30
31	53
32	32
33	33
34	34
35	35
36	36
37	49
38	38
39	39
40	40
41	60
42	42
43	57
44	44
45	45
46	46
47	62
48	48
49	49
50	50
51	51
52	52
53	69
54	54
55	55
56	56
57	57
58	58
59	87
60	60
61	79
62	62
63	63
64	64
65	65
66	66
67	94
68	68
69	69
70	70
71	91
72	72