A178942 - cp's OEIS frontend

A178942 a(1) = 3; for n >= 2, a(n) is the smallest prime q > a(n-1) such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator equal to A001223(n)/2 (or 0, if no such prime exists).

n	a(n)
1	3
2	5
3	11
4	13
5	17
6	19
7	29
8	37
9	47
10	53
11	61
12	67
13	71
14	79
15	83
16	131
17	137
18	151
19	163
20	173
21	233
22	277
23	331
24	359
25	379
26	397
27	401
28	419
29	439
30	773
31	823
32	941
33	947
34	1021
35	1031
36	1033
37	1063
38	1087
39	1097
40	1117
41	1123
42	1153
43	1187
44	1237
45	1277
46	1709
47	1789
48	1823

[3, 5, 11, 13, 17, 19, 29, 37, 47, 53, 61, 67, 71, 79, 83, 131, 137, 151, 163, 173, 233, 277, 331, 359, 379, 397, 401, 419, 439, 773, 823, 941, 947, 1021, 1031, 1033, 1063, 1087, 1097, 1117, 1123, 1153, 1187, 1237, 1277, 1709, 1789, 1823]

cp's OEIS Frontend

A178942 a(1) = 3; for n >= 2, a(n) is the smallest prime q > a(n-1) such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator equal to A001223(n)/2 (or 0, if no such prime exists).

Table of values

List of values