A228428 - cp's OEIS frontend

A228428 Number of ways to write n = x + y (x, y > 0) with p(99, x) + p(100, y) prime, where p(m, k) denotes the m-gonal number (m-2)k(k-1)/2 + k.

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	3
10	3
11	1
12	2
13	4
14	1
15	3
16	5
17	4
18	3
19	5
20	1
21	4
22	3
23	2
24	1
25	7
26	5
27	1
28	4
29	4
30	4
31	4
32	5
33	2
34	5
35	4
36	2
37	6
38	1
39	4
40	9
41	6
42	4
43	6
44	6
45	5
46	6
47	5
48	4
49	6
50	5
51	11
52	9
53	6
54	5
55	10
56	4
57	3
58	9
59	5
60	3
61	11
62	7
63	7
64	10
65	5
66	5
67	10
68	5
69	5
70	5
71	4
72	7
73	6
74	6
75	5
76	13
77	7
78	3
79	12
80	5
81	5
82	12
83	6
84	7
85	8
86	6
87	4
88	9
89	7
90	8
91	9
92	10
93	9
94	9
95	8
96	15
97	17
98	9
99	9
100	10

[0, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 2, 4, 1, 3, 5, 4, 3, 5, 1, 4, 3, 2, 1, 7, 5, 1, 4, 4, 4, 4, 5, 2, 5, 4, 2, 6, 1, 4, 9, 6, 4, 6, 6, 5, 6, 5, 4, 6, 5, 11, 9, 6, 5, 10, 4, 3, 9, 5, 3, 11, 7, 7, 10, 5, 5, 10, 5, 5, 5, 4, 7, 6, 6, 5, 13, 7, 3, 12, 5, 5, 12, 6, 7, 8, 6, 4, 9, 7, 8, 9, 10, 9, 9, 8, 15, 17, 9, 9, 10]

cp's OEIS Frontend

A228428 Number of ways to write n = x + y (x, y > 0) with p(99, x) + p(100, y) prime, where p(m, k) denotes the m-gonal number (m-2)k(k-1)/2 + k.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	3
10	3
11	1
12	2
13	4
14	1
15	3
16	5
17	4
18	3
19	5
20	1
21	4
22	3
23	2
24	1
25	7
26	5
27	1
28	4
29	4
30	4
31	4
32	5
33	2
34	5
35	4
36	2
37	6
38	1
39	4
40	9
41	6
42	4
43	6
44	6
45	5
46	6
47	5
48	4
49	6
50	5
51	11
52	9
53	6
54	5
55	10
56	4
57	3
58	9
59	5
60	3
61	11
62	7
63	7
64	10
65	5
66	5
67	10
68	5
69	5
70	5
71	4
72	7
73	6
74	6
75	5
76	13
77	7
78	3
79	12
80	5
81	5
82	12
83	6
84	7
85	8
86	6
87	4
88	9
89	7
90	8
91	9
92	10
93	9
94	9
95	8
96	15
97	17
98	9
99	9
100	10

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	3
10	3
11	1
12	2
13	4
14	1
15	3
16	5
17	4
18	3
19	5
20	1
21	4
22	3
23	2
24	1
25	7
26	5
27	1
28	4
29	4
30	4
31	4
32	5
33	2
34	5
35	4
36	2
37	6
38	1
39	4
40	9
41	6
42	4
43	6
44	6
45	5
46	6
47	5
48	4
49	6
50	5
51	11
52	9
53	6
54	5
55	10
56	4
57	3
58	9
59	5
60	3
61	11
62	7
63	7
64	10
65	5
66	5
67	10
68	5
69	5
70	5
71	4
72	7
73	6
74	6
75	5
76	13
77	7
78	3
79	12
80	5
81	5
82	12
83	6
84	7
85	8
86	6
87	4
88	9
89	7
90	8
91	9
92	10
93	9
94	9
95	8
96	15
97	17
98	9
99	9
100	10

cp's OEIS Frontend

A228428 Number of ways to write n = x + y (x, y > 0) with p(99, x) + p(100, y) prime, where p(m, k) denotes the m-gonal number (m-2)*k*(k-1)/2 + k.

Table of values

List of values

A228428 Number of ways to write n = x + y (x, y > 0) with p(99, x) + p(100, y) prime, where p(m, k) denotes the m-gonal number (m-2)k(k-1)/2 + k.

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	3
10	3
11	1
12	2
13	4
14	1
15	3
16	5
17	4
18	3
19	5
20	1
21	4
22	3
23	2
24	1
25	7
26	5
27	1
28	4
29	4
30	4
31	4
32	5
33	2
34	5
35	4
36	2
37	6
38	1
39	4
40	9
41	6
42	4
43	6
44	6
45	5
46	6
47	5
48	4
49	6
50	5
51	11
52	9
53	6
54	5
55	10
56	4
57	3
58	9
59	5
60	3
61	11
62	7
63	7
64	10
65	5
66	5
67	10
68	5
69	5
70	5
71	4
72	7
73	6
74	6
75	5
76	13
77	7
78	3
79	12
80	5
81	5
82	12
83	6
84	7
85	8
86	6
87	4
88	9
89	7
90	8
91	9
92	10
93	9
94	9
95	8
96	15
97	17
98	9
99	9
100	10