A196526 - cp's OEIS frontend

A196526 a(n) is the number of ways the n-th prime number prime(n) can be written as sum of coprime b and c, in which b is a positive even number and c is an odd number that is -1 or greater, and all odd prime factors of b and c are less than or equal to sqrt(prime(n)).

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

[2, 1, 1, 3, 2, 3, 2, 1, 5, 5, 4, 4, 3, 4, 8, 8, 7, 7, 7, 7, 8, 7, 8, 7, 6, 6, 7, 7, 7, 12, 13, 12, 11, 12, 10, 10, 11, 11, 16, 18, 18, 18, 17, 18, 18, 17, 16, 15, 16, 17, 15, 18, 18, 18, 18, 17, 16, 18, 17, 16, 24, 24, 23, 23, 23, 23, 24, 23, 24, 24, 25, 32, 33, 34, 33, 36, 34, 35, 33, 35, 33, 32, 35, 34, 33, 33, 34, 33, 35, 34, 31, 32, 30, 35, 35, 34, 32, 32, 45]

cp's OEIS Frontend

A196526 a(n) is the number of ways the n-th prime number prime(n) can be written as sum of coprime b and c, in which b is a positive even number and c is an odd number that is -1 or greater, and all odd prime factors of b and c are less than or equal to sqrt(prime(n)).

Table of values

List of values

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

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

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