A258127 - cp's OEIS frontend

A258127 Smallest k such that Sum_{i=0..k} binomial(n,i) is prime, or a(n)=0 if there is no such k.

n	a(n)
1	1
2	1
3	2
4	1
5	4
6	1
7	2
8	2
9	0
10	1
11	2
12	1
13	4
14	4
15	6
16	1
17	16
18	1
19	2
20	2
21	4
22	1
23	2
24	6
25	8
26	16
27	2
28	1
29	0
30	1
31	4
32	6
33	0
34	0
35	2
36	1
37	0
38	0
39	0
40	1
41	0
42	1
43	2
44	2
45	0
46	1
47	2
48	10
49	0
50	48
51	2
52	1
53	36
54	20
55	6
56	2
57	8
58	1
59	10
60	1
61	16
62	13
63	2
64	2
65	0
66	1
67	0
68	2
69	0
70	1
71	2
72	1
73	0
74	0
75	2
76	2
77	0
78	1
79	8
80	74
81	64
82	1
83	16

[1, 1, 2, 1, 4, 1, 2, 2, 0, 1, 2, 1, 4, 4, 6, 1, 16, 1, 2, 2, 4, 1, 2, 6, 8, 16, 2, 1, 0, 1, 4, 6, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 10, 0, 48, 2, 1, 36, 20, 6, 2, 8, 1, 10, 1, 16, 13, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 8, 74, 64, 1, 16]

cp's OEIS Frontend

A258127 Smallest k such that Sum_{i=0..k} binomial(n,i) is prime, or a(n)=0 if there is no such k.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	4
6	1
7	2
8	2
9	0
10	1
11	2
12	1
13	4
14	4
15	6
16	1
17	16
18	1
19	2
20	2
21	4
22	1
23	2
24	6
25	8
26	16
27	2
28	1
29	0
30	1
31	4
32	6
33	0
34	0
35	2
36	1
37	0
38	0
39	0
40	1
41	0
42	1
43	2
44	2
45	0
46	1
47	2
48	10
49	0
50	48
51	2
52	1
53	36
54	20
55	6
56	2
57	8
58	1
59	10
60	1
61	16
62	13
63	2
64	2
65	0
66	1
67	0
68	2
69	0
70	1
71	2
72	1
73	0
74	0
75	2
76	2
77	0
78	1
79	8
80	74
81	64
82	1
83	16

n	a(n)
1	1
2	1
3	2
4	1
5	4
6	1
7	2
8	2
9	0
10	1
11	2
12	1
13	4
14	4
15	6
16	1
17	16
18	1
19	2
20	2
21	4
22	1
23	2
24	6
25	8
26	16
27	2
28	1
29	0
30	1
31	4
32	6
33	0
34	0
35	2
36	1
37	0
38	0
39	0
40	1
41	0
42	1
43	2
44	2
45	0
46	1
47	2
48	10
49	0
50	48
51	2
52	1
53	36
54	20
55	6
56	2
57	8
58	1
59	10
60	1
61	16
62	13
63	2
64	2
65	0
66	1
67	0
68	2
69	0
70	1
71	2
72	1
73	0
74	0
75	2
76	2
77	0
78	1
79	8
80	74
81	64
82	1
83	16

n	a(n)
1	1
2	1
3	2
4	1
5	4
6	1
7	2
8	2
9	0
10	1
11	2
12	1
13	4
14	4
15	6
16	1
17	16
18	1
19	2
20	2
21	4
22	1
23	2
24	6
25	8
26	16
27	2
28	1
29	0
30	1
31	4
32	6
33	0
34	0
35	2
36	1
37	0
38	0
39	0
40	1
41	0
42	1
43	2
44	2
45	0
46	1
47	2
48	10
49	0
50	48
51	2
52	1
53	36
54	20
55	6
56	2
57	8
58	1
59	10
60	1
61	16
62	13
63	2
64	2
65	0
66	1
67	0
68	2
69	0
70	1
71	2
72	1
73	0
74	0
75	2
76	2
77	0
78	1
79	8
80	74
81	64
82	1
83	16