A167604 - cp's OEIS frontend

A167604 A variant of Euclid-Mullin (A000945): a(1)=2, a(n+1) is the least prime dividing [Product_{i in I} a(i) + Product_{i not in I} a(i)], minimized over all subsets I of {1..n}.

n	a(n)
1	2
2	3
3	5
4	11
5	37
6	13
7	7
8	29
9	17
10	19
11	43
12	23
13	47
14	41
15	53
16	31
17	61
18	59
19	67
20	79
21	83
22	73
23	97
24	71
25	101
26	89
27	103
28	127
29	107
30	113
31	137
32	131
33	139
34	109
35	149
36	151
37	163
38	157
39	167
40	173
41	193
42	211
43	179
44	191
45	181
46	223
47	199
48	197
49	233
50	227
51	229
52	239
53	241
54	251
55	257
56	307
57	281
58	269
59	271
60	293

[2, 3, 5, 11, 37, 13, 7, 29, 17, 19, 43, 23, 47, 41, 53, 31, 61, 59, 67, 79, 83, 73, 97, 71, 101, 89, 103, 127, 107, 113, 137, 131, 139, 109, 149, 151, 163, 157, 167, 173, 193, 211, 179, 191, 181, 223, 199, 197, 233, 227, 229, 239, 241, 251, 257, 307, 281, 269, 271, 293]

cp's OEIS Frontend

A167604 A variant of Euclid-Mullin (A000945): a(1)=2, a(n+1) is the least prime dividing [Product_{i in I} a(i) + Product_{i not in I} a(i)], minimized over all subsets I of {1..n}.

Table of values

List of values

n	a(n)
1	2
2	3
3	5
4	11
5	37
6	13
7	7
8	29
9	17
10	19
11	43
12	23
13	47
14	41
15	53
16	31
17	61
18	59
19	67
20	79
21	83
22	73
23	97
24	71
25	101
26	89
27	103
28	127
29	107
30	113
31	137
32	131
33	139
34	109
35	149
36	151
37	163
38	157
39	167
40	173
41	193
42	211
43	179
44	191
45	181
46	223
47	199
48	197
49	233
50	227
51	229
52	239
53	241
54	251
55	257
56	307
57	281
58	269
59	271
60	293

n	a(n)
1	2
2	3
3	5
4	11
5	37
6	13
7	7
8	29
9	17
10	19
11	43
12	23
13	47
14	41
15	53
16	31
17	61
18	59
19	67
20	79
21	83
22	73
23	97
24	71
25	101
26	89
27	103
28	127
29	107
30	113
31	137
32	131
33	139
34	109
35	149
36	151
37	163
38	157
39	167
40	173
41	193
42	211
43	179
44	191
45	181
46	223
47	199
48	197
49	233
50	227
51	229
52	239
53	241
54	251
55	257
56	307
57	281
58	269
59	271
60	293

n	a(n)
1	2
2	3
3	5
4	11
5	37
6	13
7	7
8	29
9	17
10	19
11	43
12	23
13	47
14	41
15	53
16	31
17	61
18	59
19	67
20	79
21	83
22	73
23	97
24	71
25	101
26	89
27	103
28	127
29	107
30	113
31	137
32	131
33	139
34	109
35	149
36	151
37	163
38	157
39	167
40	173
41	193
42	211
43	179
44	191
45	181
46	223
47	199
48	197
49	233
50	227
51	229
52	239
53	241
54	251
55	257
56	307
57	281
58	269
59	271
60	293