A359946 - cp's OEIS frontend

A359946 Lexicographically earliest sequence of distinct positive integers such that for any n > 0, n XOR a(n) is a prime number (where XOR denotes the bitwise XOR operator).

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

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

cp's OEIS Frontend

A359946 Lexicographically earliest sequence of distinct positive integers such that for any n > 0, n XOR a(n) is a prime number (where XOR denotes the bitwise XOR operator).

Table of values

List of values

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

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

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