A244915 - cp's OEIS frontend

A244915 Smallest positive integer a(n) such that b(n) = a(n)^2 + a(n-1)^2 is a prime different from the primes b(1), b(2), ..., b(n-1), where a(0) = 1.

n	a(n)
0	1
1	1
2	2
3	3
4	8
5	5
6	2
7	7
8	8
9	13
10	2
11	15
12	4
13	1
14	6
15	5
16	4
17	9
18	10
19	1
20	14
21	9
22	16
23	1
24	20
25	3
26	10
27	7
28	12
29	13
30	10
31	17
32	2
33	27
34	10
35	19
36	6
37	11
38	4
39	21
40	10
41	29
42	4
43	25
44	6
45	29
46	16
47	5
48	18
49	7
50	20
51	11
52	14
53	15
54	22
55	5
56	24
57	1
58	26
59	5
60	28
61	13
62	20
63	19
64	14
65	25
66	12
67	17
68	8
69	23
70	12
71	43
72	8

[1, 1, 2, 3, 8, 5, 2, 7, 8, 13, 2, 15, 4, 1, 6, 5, 4, 9, 10, 1, 14, 9, 16, 1, 20, 3, 10, 7, 12, 13, 10, 17, 2, 27, 10, 19, 6, 11, 4, 21, 10, 29, 4, 25, 6, 29, 16, 5, 18, 7, 20, 11, 14, 15, 22, 5, 24, 1, 26, 5, 28, 13, 20, 19, 14, 25, 12, 17, 8, 23, 12, 43, 8]

cp's OEIS Frontend

A244915 Smallest positive integer a(n) such that b(n) = a(n)^2 + a(n-1)^2 is a prime different from the primes b(1), b(2), ..., b(n-1), where a(0) = 1.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	3
4	8
5	5
6	2
7	7
8	8
9	13
10	2
11	15
12	4
13	1
14	6
15	5
16	4
17	9
18	10
19	1
20	14
21	9
22	16
23	1
24	20
25	3
26	10
27	7
28	12
29	13
30	10
31	17
32	2
33	27
34	10
35	19
36	6
37	11
38	4
39	21
40	10
41	29
42	4
43	25
44	6
45	29
46	16
47	5
48	18
49	7
50	20
51	11
52	14
53	15
54	22
55	5
56	24
57	1
58	26
59	5
60	28
61	13
62	20
63	19
64	14
65	25
66	12
67	17
68	8
69	23
70	12
71	43
72	8

n	a(n)
0	1
1	1
2	2
3	3
4	8
5	5
6	2
7	7
8	8
9	13
10	2
11	15
12	4
13	1
14	6
15	5
16	4
17	9
18	10
19	1
20	14
21	9
22	16
23	1
24	20
25	3
26	10
27	7
28	12
29	13
30	10
31	17
32	2
33	27
34	10
35	19
36	6
37	11
38	4
39	21
40	10
41	29
42	4
43	25
44	6
45	29
46	16
47	5
48	18
49	7
50	20
51	11
52	14
53	15
54	22
55	5
56	24
57	1
58	26
59	5
60	28
61	13
62	20
63	19
64	14
65	25
66	12
67	17
68	8
69	23
70	12
71	43
72	8

n	a(n)
0	1
1	1
2	2
3	3
4	8
5	5
6	2
7	7
8	8
9	13
10	2
11	15
12	4
13	1
14	6
15	5
16	4
17	9
18	10
19	1
20	14
21	9
22	16
23	1
24	20
25	3
26	10
27	7
28	12
29	13
30	10
31	17
32	2
33	27
34	10
35	19
36	6
37	11
38	4
39	21
40	10
41	29
42	4
43	25
44	6
45	29
46	16
47	5
48	18
49	7
50	20
51	11
52	14
53	15
54	22
55	5
56	24
57	1
58	26
59	5
60	28
61	13
62	20
63	19
64	14
65	25
66	12
67	17
68	8
69	23
70	12
71	43
72	8