A359504 - cp's OEIS frontend

A359504 a(n) is calculated by considering in ascending order all products P of zero or more terms from {a(1..n-1)} until finding one where P+1 has a prime factor not in {a(1..n-1)}, in which case a(n) is the smallest such prime factor.

n	a(n)
1	2
2	3
3	7
4	5
5	11
6	23
7	31
8	17
9	43
10	47
11	13
12	67
13	71
14	79
15	29
16	59
17	19
18	103
19	53
20	107
21	37
22	131
23	139
24	73
25	83
26	167
27	89
28	179
29	61
30	41
31	191
32	101
33	211
34	109
35	223
36	239
37	127
38	263
39	137
40	283
41	97
42	151
43	311
44	331
45	173
46	347
47	359
48	367
49	383
50	193
51	197
52	419
53	431
54	439
55	443
56	149
57	113
58	227
59	463

[2, 3, 7, 5, 11, 23, 31, 17, 43, 47, 13, 67, 71, 79, 29, 59, 19, 103, 53, 107, 37, 131, 139, 73, 83, 167, 89, 179, 61, 41, 191, 101, 211, 109, 223, 239, 127, 263, 137, 283, 97, 151, 311, 331, 173, 347, 359, 367, 383, 193, 197, 419, 431, 439, 443, 149, 113, 227, 463]

cp's OEIS Frontend

A359504 a(n) is calculated by considering in ascending order all products P of zero or more terms from {a(1..n-1)} until finding one where P+1 has a prime factor not in {a(1..n-1)}, in which case a(n) is the smallest such prime factor.

Table of values

List of values

n	a(n)
1	2
2	3
3	7
4	5
5	11
6	23
7	31
8	17
9	43
10	47
11	13
12	67
13	71
14	79
15	29
16	59
17	19
18	103
19	53
20	107
21	37
22	131
23	139
24	73
25	83
26	167
27	89
28	179
29	61
30	41
31	191
32	101
33	211
34	109
35	223
36	239
37	127
38	263
39	137
40	283
41	97
42	151
43	311
44	331
45	173
46	347
47	359
48	367
49	383
50	193
51	197
52	419
53	431
54	439
55	443
56	149
57	113
58	227
59	463

n	a(n)
1	2
2	3
3	7
4	5
5	11
6	23
7	31
8	17
9	43
10	47
11	13
12	67
13	71
14	79
15	29
16	59
17	19
18	103
19	53
20	107
21	37
22	131
23	139
24	73
25	83
26	167
27	89
28	179
29	61
30	41
31	191
32	101
33	211
34	109
35	223
36	239
37	127
38	263
39	137
40	283
41	97
42	151
43	311
44	331
45	173
46	347
47	359
48	367
49	383
50	193
51	197
52	419
53	431
54	439
55	443
56	149
57	113
58	227
59	463

n	a(n)
1	2
2	3
3	7
4	5
5	11
6	23
7	31
8	17
9	43
10	47
11	13
12	67
13	71
14	79
15	29
16	59
17	19
18	103
19	53
20	107
21	37
22	131
23	139
24	73
25	83
26	167
27	89
28	179
29	61
30	41
31	191
32	101
33	211
34	109
35	223
36	239
37	127
38	263
39	137
40	283
41	97
42	151
43	311
44	331
45	173
46	347
47	359
48	367
49	383
50	193
51	197
52	419
53	431
54	439
55	443
56	149
57	113
58	227
59	463