A291635 - cp's OEIS frontend

A291635 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that p = x + 2y + 5z, p - 2, p + 4 and p + 10 are all prime.

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

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

cp's OEIS Frontend

A291635 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that p = x + 2y + 5z, p - 2, p + 4 and p + 10 are all prime.

Table of values

List of values

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

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

cp's OEIS Frontend

A291635 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that p = x + 2*y + 5*z, p - 2, p + 4 and p + 10 are all prime.

Table of values

List of values

A291635 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that p = x + 2y + 5z, p - 2, p + 4 and p + 10 are all prime.

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