A303075 - cp's OEIS frontend

A303075 Lexicographically earliest sequence of distinct positive terms such that for any n > 0, the binary digits of a(n) appear in order but not necessarily as consecutive digits in the binary representation of the n-th prime number.

n	a(n)
1	1
2	3
3	2
4	7
5	5
6	6
7	4
8	9
9	11
10	13
11	15
12	8
13	10
14	19
15	23
16	12
17	14
18	29
19	16
20	17
21	18
22	31
23	20
24	21
25	24
26	25
27	27
28	26
29	22
30	28
31	63
32	32
33	33
34	34
35	35
36	37
37	30
38	40
39	39
40	38
41	41
42	42
43	47
44	48
45	49
46	51
47	43
48	55
49	56
50	50
51	52
52	59
53	57
54	61
55	64
56	65
57	45
58	67
59	36
60	44
61	69
62	53
63	73
64	71
65	46
66	62
67	75

[1, 3, 2, 7, 5, 6, 4, 9, 11, 13, 15, 8, 10, 19, 23, 12, 14, 29, 16, 17, 18, 31, 20, 21, 24, 25, 27, 26, 22, 28, 63, 32, 33, 34, 35, 37, 30, 40, 39, 38, 41, 42, 47, 48, 49, 51, 43, 55, 56, 50, 52, 59, 57, 61, 64, 65, 45, 67, 36, 44, 69, 53, 73, 71, 46, 62, 75]

cp's OEIS Frontend

A303075 Lexicographically earliest sequence of distinct positive terms such that for any n > 0, the binary digits of a(n) appear in order but not necessarily as consecutive digits in the binary representation of the n-th prime number.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	7
5	5
6	6
7	4
8	9
9	11
10	13
11	15
12	8
13	10
14	19
15	23
16	12
17	14
18	29
19	16
20	17
21	18
22	31
23	20
24	21
25	24
26	25
27	27
28	26
29	22
30	28
31	63
32	32
33	33
34	34
35	35
36	37
37	30
38	40
39	39
40	38
41	41
42	42
43	47
44	48
45	49
46	51
47	43
48	55
49	56
50	50
51	52
52	59
53	57
54	61
55	64
56	65
57	45
58	67
59	36
60	44
61	69
62	53
63	73
64	71
65	46
66	62
67	75

n	a(n)
1	1
2	3
3	2
4	7
5	5
6	6
7	4
8	9
9	11
10	13
11	15
12	8
13	10
14	19
15	23
16	12
17	14
18	29
19	16
20	17
21	18
22	31
23	20
24	21
25	24
26	25
27	27
28	26
29	22
30	28
31	63
32	32
33	33
34	34
35	35
36	37
37	30
38	40
39	39
40	38
41	41
42	42
43	47
44	48
45	49
46	51
47	43
48	55
49	56
50	50
51	52
52	59
53	57
54	61
55	64
56	65
57	45
58	67
59	36
60	44
61	69
62	53
63	73
64	71
65	46
66	62
67	75

n	a(n)
1	1
2	3
3	2
4	7
5	5
6	6
7	4
8	9
9	11
10	13
11	15
12	8
13	10
14	19
15	23
16	12
17	14
18	29
19	16
20	17
21	18
22	31
23	20
24	21
25	24
26	25
27	27
28	26
29	22
30	28
31	63
32	32
33	33
34	34
35	35
36	37
37	30
38	40
39	39
40	38
41	41
42	42
43	47
44	48
45	49
46	51
47	43
48	55
49	56
50	50
51	52
52	59
53	57
54	61
55	64
56	65
57	45
58	67
59	36
60	44
61	69
62	53
63	73
64	71
65	46
66	62
67	75