A287662 - cp's OEIS frontend

A287662 a(n) is the smallest positive integer not already in sequence such that a(1) + ... + a(n) is a prime power, with a(1) = 1.

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	7
7	8
8	10
9	12
10	11
11	9
12	16
13	14
14	18
15	28
16	20
17	22
18	32
19	33
20	13
21	24
22	38
23	30
24	36
25	34
26	26
27	42
28	48
29	40
30	44
31	46
32	50
33	60
34	52
35	68
36	54
37	58
38	5
39	15
40	64
41	78
42	56
43	66
44	70
45	74
46	76
47	84
48	62
49	72
50	82
51	90
52	80
53	55
54	21
55	92
56	106
57	104
58	88
59	98
60	100
61	96
62	108
63	102
64	86
65	114
66	94
67	116
68	118
69	122
70	120
71	130
72	126
73	107
74	31
75	132
76	138

[1, 2, 4, 6, 3, 7, 8, 10, 12, 11, 9, 16, 14, 18, 28, 20, 22, 32, 33, 13, 24, 38, 30, 36, 34, 26, 42, 48, 40, 44, 46, 50, 60, 52, 68, 54, 58, 5, 15, 64, 78, 56, 66, 70, 74, 76, 84, 62, 72, 82, 90, 80, 55, 21, 92, 106, 104, 88, 98, 100, 96, 108, 102, 86, 114, 94, 116, 118, 122, 120, 130, 126, 107, 31, 132, 138]

cp's OEIS Frontend

A287662 a(n) is the smallest positive integer not already in sequence such that a(1) + ... + a(n) is a prime power, with a(1) = 1.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	7
7	8
8	10
9	12
10	11
11	9
12	16
13	14
14	18
15	28
16	20
17	22
18	32
19	33
20	13
21	24
22	38
23	30
24	36
25	34
26	26
27	42
28	48
29	40
30	44
31	46
32	50
33	60
34	52
35	68
36	54
37	58
38	5
39	15
40	64
41	78
42	56
43	66
44	70
45	74
46	76
47	84
48	62
49	72
50	82
51	90
52	80
53	55
54	21
55	92
56	106
57	104
58	88
59	98
60	100
61	96
62	108
63	102
64	86
65	114
66	94
67	116
68	118
69	122
70	120
71	130
72	126
73	107
74	31
75	132
76	138

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	7
7	8
8	10
9	12
10	11
11	9
12	16
13	14
14	18
15	28
16	20
17	22
18	32
19	33
20	13
21	24
22	38
23	30
24	36
25	34
26	26
27	42
28	48
29	40
30	44
31	46
32	50
33	60
34	52
35	68
36	54
37	58
38	5
39	15
40	64
41	78
42	56
43	66
44	70
45	74
46	76
47	84
48	62
49	72
50	82
51	90
52	80
53	55
54	21
55	92
56	106
57	104
58	88
59	98
60	100
61	96
62	108
63	102
64	86
65	114
66	94
67	116
68	118
69	122
70	120
71	130
72	126
73	107
74	31
75	132
76	138

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	7
7	8
8	10
9	12
10	11
11	9
12	16
13	14
14	18
15	28
16	20
17	22
18	32
19	33
20	13
21	24
22	38
23	30
24	36
25	34
26	26
27	42
28	48
29	40
30	44
31	46
32	50
33	60
34	52
35	68
36	54
37	58
38	5
39	15
40	64
41	78
42	56
43	66
44	70
45	74
46	76
47	84
48	62
49	72
50	82
51	90
52	80
53	55
54	21
55	92
56	106
57	104
58	88
59	98
60	100
61	96
62	108
63	102
64	86
65	114
66	94
67	116
68	118
69	122
70	120
71	130
72	126
73	107
74	31
75	132
76	138