A351996 - cp's OEIS frontend

A351996 A chain reaction sequence: a digit d1 from a(n) is expelled towards a(n+1) where it hits a digit d2 [from a(n+1)] and replaces it; d2 in turn is expelled towards a(n+2), hits a digit d3 there and replaces it; d3 in turn is expelled towards a(n+3), hits a digit there, and replaces it; d4 is expelled... etc. At the end of the chain reaction, only prime numbers will be left. This is the lexicographically earliest sequence of distinct positive integers with this property.

n	a(n)
1	1
2	10
3	101
4	103
5	107
6	109
7	111
8	11
9	12
10	2
11	3
12	4
13	13
14	14
15	17
16	15
17	5
18	6
19	21
20	7
21	8
22	19
23	16
24	27
25	9
26	18
27	23
28	29
29	33
30	20
31	113
32	30
33	117
34	31
35	22
36	39
37	24
38	37
39	25
40	43
41	41
42	47
43	51
44	49
45	53
46	59
47	63
48	57
49	69
50	61
51	67
52	71
53	32
54	73
55	34
56	77
57	35
58	79
59	36
60	81
61	83
62	89
63	93
64	26
65	87
66	99
67	28
68	121
69	38
70	123
71	40
72	119
73	42
74	127
75	44
76	91
77	50

[1, 10, 101, 103, 107, 109, 111, 11, 12, 2, 3, 4, 13, 14, 17, 15, 5, 6, 21, 7, 8, 19, 16, 27, 9, 18, 23, 29, 33, 20, 113, 30, 117, 31, 22, 39, 24, 37, 25, 43, 41, 47, 51, 49, 53, 59, 63, 57, 69, 61, 67, 71, 32, 73, 34, 77, 35, 79, 36, 81, 83, 89, 93, 26, 87, 99, 28, 121, 38, 123, 40, 119, 42, 127, 44, 91, 50]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	10
3	101
4	103
5	107
6	109
7	111
8	11
9	12
10	2
11	3
12	4
13	13
14	14
15	17
16	15
17	5
18	6
19	21
20	7
21	8
22	19
23	16
24	27
25	9
26	18
27	23
28	29
29	33
30	20
31	113
32	30
33	117
34	31
35	22
36	39
37	24
38	37
39	25
40	43
41	41
42	47
43	51
44	49
45	53
46	59
47	63
48	57
49	69
50	61
51	67
52	71
53	32
54	73
55	34
56	77
57	35
58	79
59	36
60	81
61	83
62	89
63	93
64	26
65	87
66	99
67	28
68	121
69	38
70	123
71	40
72	119
73	42
74	127
75	44
76	91
77	50

n	a(n)
1	1
2	10
3	101
4	103
5	107
6	109
7	111
8	11
9	12
10	2
11	3
12	4
13	13
14	14
15	17
16	15
17	5
18	6
19	21
20	7
21	8
22	19
23	16
24	27
25	9
26	18
27	23
28	29
29	33
30	20
31	113
32	30
33	117
34	31
35	22
36	39
37	24
38	37
39	25
40	43
41	41
42	47
43	51
44	49
45	53
46	59
47	63
48	57
49	69
50	61
51	67
52	71
53	32
54	73
55	34
56	77
57	35
58	79
59	36
60	81
61	83
62	89
63	93
64	26
65	87
66	99
67	28
68	121
69	38
70	123
71	40
72	119
73	42
74	127
75	44
76	91
77	50

n	a(n)
1	1
2	10
3	101
4	103
5	107
6	109
7	111
8	11
9	12
10	2
11	3
12	4
13	13
14	14
15	17
16	15
17	5
18	6
19	21
20	7
21	8
22	19
23	16
24	27
25	9
26	18
27	23
28	29
29	33
30	20
31	113
32	30
33	117
34	31
35	22
36	39
37	24
38	37
39	25
40	43
41	41
42	47
43	51
44	49
45	53
46	59
47	63
48	57
49	69
50	61
51	67
52	71
53	32
54	73
55	34
56	77
57	35
58	79
59	36
60	81
61	83
62	89
63	93
64	26
65	87
66	99
67	28
68	121
69	38
70	123
71	40
72	119
73	42
74	127
75	44
76	91
77	50