A105888 - cp's OEIS frontend

A105888 a(n) = the smallest prime that, when written in binary, ends with the substring of 2n-1 in binary.

n	a(n)
1	3
2	3
3	5
4	7
5	41
6	11
7	13
8	31
9	17
10	19
11	53
12	23
13	89
14	59
15	29
16	31
17	97
18	163
19	37
20	103
21	41
22	43
23	109
24	47
25	113
26	179
27	53
28	311
29	313
30	59
31	61
32	127
33	193
34	67
35	197
36	71
37	73
38	331
39	461
40	79
41	337
42	83
43	853
44	599
45	89
46	347
47	349
48	223
49	97
50	227
51	101
52	103
53	233
54	107
55	109
56	239
57	113
58	499
59	373
60	503
61	761

[3, 3, 5, 7, 41, 11, 13, 31, 17, 19, 53, 23, 89, 59, 29, 31, 97, 163, 37, 103, 41, 43, 109, 47, 113, 179, 53, 311, 313, 59, 61, 127, 193, 67, 197, 71, 73, 331, 461, 79, 337, 83, 853, 599, 89, 347, 349, 223, 97, 227, 101, 103, 233, 107, 109, 239, 113, 499, 373, 503, 761]

cp's OEIS Frontend

A105888 a(n) = the smallest prime that, when written in binary, ends with the substring of 2n-1 in binary.

Table of values

List of values

n	a(n)
1	3
2	3
3	5
4	7
5	41
6	11
7	13
8	31
9	17
10	19
11	53
12	23
13	89
14	59
15	29
16	31
17	97
18	163
19	37
20	103
21	41
22	43
23	109
24	47
25	113
26	179
27	53
28	311
29	313
30	59
31	61
32	127
33	193
34	67
35	197
36	71
37	73
38	331
39	461
40	79
41	337
42	83
43	853
44	599
45	89
46	347
47	349
48	223
49	97
50	227
51	101
52	103
53	233
54	107
55	109
56	239
57	113
58	499
59	373
60	503
61	761

n	a(n)
1	3
2	3
3	5
4	7
5	41
6	11
7	13
8	31
9	17
10	19
11	53
12	23
13	89
14	59
15	29
16	31
17	97
18	163
19	37
20	103
21	41
22	43
23	109
24	47
25	113
26	179
27	53
28	311
29	313
30	59
31	61
32	127
33	193
34	67
35	197
36	71
37	73
38	331
39	461
40	79
41	337
42	83
43	853
44	599
45	89
46	347
47	349
48	223
49	97
50	227
51	101
52	103
53	233
54	107
55	109
56	239
57	113
58	499
59	373
60	503
61	761

n	a(n)
1	3
2	3
3	5
4	7
5	41
6	11
7	13
8	31
9	17
10	19
11	53
12	23
13	89
14	59
15	29
16	31
17	97
18	163
19	37
20	103
21	41
22	43
23	109
24	47
25	113
26	179
27	53
28	311
29	313
30	59
31	61
32	127
33	193
34	67
35	197
36	71
37	73
38	331
39	461
40	79
41	337
42	83
43	853
44	599
45	89
46	347
47	349
48	223
49	97
50	227
51	101
52	103
53	233
54	107
55	109
56	239
57	113
58	499
59	373
60	503
61	761