A341765 - cp's OEIS frontend

A341765 Consider gaps between successive odd primes from 3 up to prime(n+2). Let k1 be number of gaps congruent to 2 (mod 6) and let k2 be number of gaps congruent to 4 (mod 6). Then a(n) = k1 - k2.

n	a(n)
1	1
2	2
3	1
4	2
5	1
6	2
7	1
8	1
9	2
10	2
11	1
12	2
13	1
14	1
15	1
16	2
17	2
18	1
19	2
20	2
21	1
22	1
23	2
24	1
25	2
26	1
27	2
28	1
29	2
30	1
31	1
32	2
33	1
34	2
35	2
36	2
37	1
38	1
39	1
40	2
41	1
42	2
43	1
44	2
45	2
46	2
47	1
48	2
49	1
50	1
51	2
52	1
53	1
54	1
55	1
56	2
57	2
58	1
59	2
60	1
61	2
62	1
63	2
64	1
65	2
66	2
67	1
68	2
69	1
70	1
71	2
72	2
73	2
74	1
75	1
76	2
77	1
78	2
79	1
80	2
81	1
82	2
83	2
84	1
85	1
86	2
87	1
88	2
89	1
90	1
91	2
92	1
93	2
94	1
95	1
96	1
97	2
98	2
99	2
100	1
101	1
102	1
103	2
104	2

[1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2]

cp's OEIS Frontend

A341765 Consider gaps between successive odd primes from 3 up to prime(n+2). Let k1 be number of gaps congruent to 2 (mod 6) and let k2 be number of gaps congruent to 4 (mod 6). Then a(n) = k1 - k2.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	2
5	1
6	2
7	1
8	1
9	2
10	2
11	1
12	2
13	1
14	1
15	1
16	2
17	2
18	1
19	2
20	2
21	1
22	1
23	2
24	1
25	2
26	1
27	2
28	1
29	2
30	1
31	1
32	2
33	1
34	2
35	2
36	2
37	1
38	1
39	1
40	2
41	1
42	2
43	1
44	2
45	2
46	2
47	1
48	2
49	1
50	1
51	2
52	1
53	1
54	1
55	1
56	2
57	2
58	1
59	2
60	1
61	2
62	1
63	2
64	1
65	2
66	2
67	1
68	2
69	1
70	1
71	2
72	2
73	2
74	1
75	1
76	2
77	1
78	2
79	1
80	2
81	1
82	2
83	2
84	1
85	1
86	2
87	1
88	2
89	1
90	1
91	2
92	1
93	2
94	1
95	1
96	1
97	2
98	2
99	2
100	1
101	1
102	1
103	2
104	2

n	a(n)
1	1
2	2
3	1
4	2
5	1
6	2
7	1
8	1
9	2
10	2
11	1
12	2
13	1
14	1
15	1
16	2
17	2
18	1
19	2
20	2
21	1
22	1
23	2
24	1
25	2
26	1
27	2
28	1
29	2
30	1
31	1
32	2
33	1
34	2
35	2
36	2
37	1
38	1
39	1
40	2
41	1
42	2
43	1
44	2
45	2
46	2
47	1
48	2
49	1
50	1
51	2
52	1
53	1
54	1
55	1
56	2
57	2
58	1
59	2
60	1
61	2
62	1
63	2
64	1
65	2
66	2
67	1
68	2
69	1
70	1
71	2
72	2
73	2
74	1
75	1
76	2
77	1
78	2
79	1
80	2
81	1
82	2
83	2
84	1
85	1
86	2
87	1
88	2
89	1
90	1
91	2
92	1
93	2
94	1
95	1
96	1
97	2
98	2
99	2
100	1
101	1
102	1
103	2
104	2

n	a(n)
1	1
2	2
3	1
4	2
5	1
6	2
7	1
8	1
9	2
10	2
11	1
12	2
13	1
14	1
15	1
16	2
17	2
18	1
19	2
20	2
21	1
22	1
23	2
24	1
25	2
26	1
27	2
28	1
29	2
30	1
31	1
32	2
33	1
34	2
35	2
36	2
37	1
38	1
39	1
40	2
41	1
42	2
43	1
44	2
45	2
46	2
47	1
48	2
49	1
50	1
51	2
52	1
53	1
54	1
55	1
56	2
57	2
58	1
59	2
60	1
61	2
62	1
63	2
64	1
65	2
66	2
67	1
68	2
69	1
70	1
71	2
72	2
73	2
74	1
75	1
76	2
77	1
78	2
79	1
80	2
81	1
82	2
83	2
84	1
85	1
86	2
87	1
88	2
89	1
90	1
91	2
92	1
93	2
94	1
95	1
96	1
97	2
98	2
99	2
100	1
101	1
102	1
103	2
104	2