A335302 - cp's OEIS frontend

A335302 a(n) = prime(n+1) mod (2^k) where k is the least positive integer such that floor(prime(n)/(2^k)) = floor(prime(n+1)/(2^k)) and prime(n) denotes the n-th prime number.

n	a(n)
1	1
2	5
3	3
4	11
5	5
6	17
7	3
8	7
9	13
10	3
11	37
12	9
13	3
14	7
15	21
16	11
17	5
18	67
19	7
20	9
21	7
22	19
23	9
24	33
25	5
26	3
27	11
28	5
29	17
30	15
31	131
32	9
33	3
34	21
35	3
36	13
37	35
38	7
39	13
40	19
41	5
42	15
43	65
44	5
45	3
46	19
47	15
48	35
49	5
50	9
51	7
52	17
53	11
54	257
55	7
56	13
57	3
58	21
59	9
60	3
61	37
62	19
63	7
64	9
65	5
66	75
67	17
68	11
69	5
70	33
71	7
72	15
73	21
74	11

[1, 5, 3, 11, 5, 17, 3, 7, 13, 3, 37, 9, 3, 7, 21, 11, 5, 67, 7, 9, 7, 19, 9, 33, 5, 3, 11, 5, 17, 15, 131, 9, 3, 21, 3, 13, 35, 7, 13, 19, 5, 15, 65, 5, 3, 19, 15, 35, 5, 9, 7, 17, 11, 257, 7, 13, 3, 21, 9, 3, 37, 19, 7, 9, 5, 75, 17, 11, 5, 33, 7, 15, 21, 11]

cp's OEIS Frontend

A335302 a(n) = prime(n+1) mod (2^k) where k is the least positive integer such that floor(prime(n)/(2^k)) = floor(prime(n+1)/(2^k)) and prime(n) denotes the n-th prime number.

Table of values

List of values

n	a(n)
1	1
2	5
3	3
4	11
5	5
6	17
7	3
8	7
9	13
10	3
11	37
12	9
13	3
14	7
15	21
16	11
17	5
18	67
19	7
20	9
21	7
22	19
23	9
24	33
25	5
26	3
27	11
28	5
29	17
30	15
31	131
32	9
33	3
34	21
35	3
36	13
37	35
38	7
39	13
40	19
41	5
42	15
43	65
44	5
45	3
46	19
47	15
48	35
49	5
50	9
51	7
52	17
53	11
54	257
55	7
56	13
57	3
58	21
59	9
60	3
61	37
62	19
63	7
64	9
65	5
66	75
67	17
68	11
69	5
70	33
71	7
72	15
73	21
74	11

n	a(n)
1	1
2	5
3	3
4	11
5	5
6	17
7	3
8	7
9	13
10	3
11	37
12	9
13	3
14	7
15	21
16	11
17	5
18	67
19	7
20	9
21	7
22	19
23	9
24	33
25	5
26	3
27	11
28	5
29	17
30	15
31	131
32	9
33	3
34	21
35	3
36	13
37	35
38	7
39	13
40	19
41	5
42	15
43	65
44	5
45	3
46	19
47	15
48	35
49	5
50	9
51	7
52	17
53	11
54	257
55	7
56	13
57	3
58	21
59	9
60	3
61	37
62	19
63	7
64	9
65	5
66	75
67	17
68	11
69	5
70	33
71	7
72	15
73	21
74	11

n	a(n)
1	1
2	5
3	3
4	11
5	5
6	17
7	3
8	7
9	13
10	3
11	37
12	9
13	3
14	7
15	21
16	11
17	5
18	67
19	7
20	9
21	7
22	19
23	9
24	33
25	5
26	3
27	11
28	5
29	17
30	15
31	131
32	9
33	3
34	21
35	3
36	13
37	35
38	7
39	13
40	19
41	5
42	15
43	65
44	5
45	3
46	19
47	15
48	35
49	5
50	9
51	7
52	17
53	11
54	257
55	7
56	13
57	3
58	21
59	9
60	3
61	37
62	19
63	7
64	9
65	5
66	75
67	17
68	11
69	5
70	33
71	7
72	15
73	21
74	11