A120684 - cp's OEIS frontend

A120684 Integers m such that the sequence defined by f(0)=m and f(n+1)=1+gpf(f(n)), with gpf(n) being the greatest prime factor of n (A006530), ends up in the repetitive cycle 3 -> 4 -> 3 -> ...

n	a(n)
0	3
1	6
2	7
3	9
4	12
5	14
6	18
7	19
8	21
9	24
10	27
11	28
12	29
13	31
14	35
15	36
16	38
17	42
18	43
19	48
20	49
21	54
22	56
23	57
24	58
25	59
26	62
27	63
28	67
29	70
30	72
31	73
32	76
33	79
34	81
35	84
36	86
37	87
38	89
39	93
40	95
41	96
42	98
43	101
44	103
45	105
46	108
47	109
48	112
49	114
50	116
51	118
52	124
53	126
54	127
55	129
56	131
57	133
58	134
59	137
60	140
61	144
62	145
63	146

[3, 6, 7, 9, 12, 14, 18, 19, 21, 24, 27, 28, 29, 31, 35, 36, 38, 42, 43, 48, 49, 54, 56, 57, 58, 59, 62, 63, 67, 70, 72, 73, 76, 79, 81, 84, 86, 87, 89, 93, 95, 96, 98, 101, 103, 105, 108, 109, 112, 114, 116, 118, 124, 126, 127, 129, 131, 133, 134, 137, 140, 144, 145, 146]

cp's OEIS Frontend

A120684 Integers m such that the sequence defined by f(0)=m and f(n+1)=1+gpf(f(n)), with gpf(n) being the greatest prime factor of n (A006530), ends up in the repetitive cycle 3 -> 4 -> 3 -> ...

Table of values

List of values

n	a(n)
0	3
1	6
2	7
3	9
4	12
5	14
6	18
7	19
8	21
9	24
10	27
11	28
12	29
13	31
14	35
15	36
16	38
17	42
18	43
19	48
20	49
21	54
22	56
23	57
24	58
25	59
26	62
27	63
28	67
29	70
30	72
31	73
32	76
33	79
34	81
35	84
36	86
37	87
38	89
39	93
40	95
41	96
42	98
43	101
44	103
45	105
46	108
47	109
48	112
49	114
50	116
51	118
52	124
53	126
54	127
55	129
56	131
57	133
58	134
59	137
60	140
61	144
62	145
63	146

n	a(n)
0	3
1	6
2	7
3	9
4	12
5	14
6	18
7	19
8	21
9	24
10	27
11	28
12	29
13	31
14	35
15	36
16	38
17	42
18	43
19	48
20	49
21	54
22	56
23	57
24	58
25	59
26	62
27	63
28	67
29	70
30	72
31	73
32	76
33	79
34	81
35	84
36	86
37	87
38	89
39	93
40	95
41	96
42	98
43	101
44	103
45	105
46	108
47	109
48	112
49	114
50	116
51	118
52	124
53	126
54	127
55	129
56	131
57	133
58	134
59	137
60	140
61	144
62	145
63	146

n	a(n)
0	3
1	6
2	7
3	9
4	12
5	14
6	18
7	19
8	21
9	24
10	27
11	28
12	29
13	31
14	35
15	36
16	38
17	42
18	43
19	48
20	49
21	54
22	56
23	57
24	58
25	59
26	62
27	63
28	67
29	70
30	72
31	73
32	76
33	79
34	81
35	84
36	86
37	87
38	89
39	93
40	95
41	96
42	98
43	101
44	103
45	105
46	108
47	109
48	112
49	114
50	116
51	118
52	124
53	126
54	127
55	129
56	131
57	133
58	134
59	137
60	140
61	144
62	145
63	146