A297709 - cp's OEIS frontend

A297709 Table read by antidiagonals: Let b be the number of digits in the binary expansion of n. Then T(n,k) is the k-th odd prime p such that the binary digits of n match the primality of the b consecutive odd numbers beginning with p (or 0 if no such k-th prime exists).

n	a(n)
1	3
2	5
3	7
4	7
5	13
6	3
7	11
8	19
9	5
10	23
11	13
12	23
13	11
14	31
15	7
16	17
17	31
18	17
19	47
20	13
21	5
22	19
23	37
24	29
25	53
26	19
27	11
28	3
29	23
30	43
31	41
32	61
33	37
34	17
35	0
36	89
37	29
38	47
39	59
40	73
41	43
42	29
43	0
44	113
45	23
46	31
47	53
48	71
49	83
50	67
51	41
52	0
53	139
54	31
55	19
56	37
57	61
58	101
59	89
60	79
61	59
62	0
63	181
64	47
65	43
66	7
67	41
68	67

[3, 5, 7, 7, 13, 3, 11, 19, 5, 23, 13, 23, 11, 31, 7, 17, 31, 17, 47, 13, 5, 19, 37, 29, 53, 19, 11, 3, 23, 43, 41, 61, 37, 17, 0, 89, 29, 47, 59, 73, 43, 29, 0, 113, 23, 31, 53, 71, 83, 67, 41, 0, 139, 31, 19, 37, 61, 101, 89, 79, 59, 0, 181, 47, 43, 7, 41, 67]

cp's OEIS Frontend

A297709 Table read by antidiagonals: Let b be the number of digits in the binary expansion of n. Then T(n,k) is the k-th odd prime p such that the binary digits of n match the primality of the b consecutive odd numbers beginning with p (or 0 if no such k-th prime exists).

Table of values

List of values

n	a(n)
1	3
2	5
3	7
4	7
5	13
6	3
7	11
8	19
9	5
10	23
11	13
12	23
13	11
14	31
15	7
16	17
17	31
18	17
19	47
20	13
21	5
22	19
23	37
24	29
25	53
26	19
27	11
28	3
29	23
30	43
31	41
32	61
33	37
34	17
35	0
36	89
37	29
38	47
39	59
40	73
41	43
42	29
43	0
44	113
45	23
46	31
47	53
48	71
49	83
50	67
51	41
52	0
53	139
54	31
55	19
56	37
57	61
58	101
59	89
60	79
61	59
62	0
63	181
64	47
65	43
66	7
67	41
68	67

n	a(n)
1	3
2	5
3	7
4	7
5	13
6	3
7	11
8	19
9	5
10	23
11	13
12	23
13	11
14	31
15	7
16	17
17	31
18	17
19	47
20	13
21	5
22	19
23	37
24	29
25	53
26	19
27	11
28	3
29	23
30	43
31	41
32	61
33	37
34	17
35	0
36	89
37	29
38	47
39	59
40	73
41	43
42	29
43	0
44	113
45	23
46	31
47	53
48	71
49	83
50	67
51	41
52	0
53	139
54	31
55	19
56	37
57	61
58	101
59	89
60	79
61	59
62	0
63	181
64	47
65	43
66	7
67	41
68	67

n	a(n)
1	3
2	5
3	7
4	7
5	13
6	3
7	11
8	19
9	5
10	23
11	13
12	23
13	11
14	31
15	7
16	17
17	31
18	17
19	47
20	13
21	5
22	19
23	37
24	29
25	53
26	19
27	11
28	3
29	23
30	43
31	41
32	61
33	37
34	17
35	0
36	89
37	29
38	47
39	59
40	73
41	43
42	29
43	0
44	113
45	23
46	31
47	53
48	71
49	83
50	67
51	41
52	0
53	139
54	31
55	19
56	37
57	61
58	101
59	89
60	79
61	59
62	0
63	181
64	47
65	43
66	7
67	41
68	67