A276435 - cp's OEIS frontend

A276435 Smallest integer z > 1 that satisfies all the integer congruences z mod i = b(i) mod i, where b(i) is the i-th composite between prime(k) and prime(k+1), 0 < i < prime(k+1) - prime(k) - 1, and k > 1 is the smallest integer not used by previous terms of the sequence.

n	a(n)
1	23
2	31
3	47
4	53
5	13
6	23
7	89
8	113
9	11
10	139
11	31
12	37
13	47
14	53
15	181
16	199
17	211
18	53
19	241
20	11
21	17
22	23
23	31
24	283
25	293
26	317
27	31
28	337
29	53
30	359
31	7
32	13
33	23
34	389
35	401
36	409
37	421
38	13
39	23
40	29
41	467
42	59
43	71
44	23
45	509
46	523
47	547
48	17
49	23
50	31
51	577
52	47
53	53
54	7
55	619
56	631
57	47
58	53
59	661
60	17
61	263
62	691
63	281
64	709
65	299
66	7
67	13
68	323

[23, 31, 47, 53, 13, 23, 89, 113, 11, 139, 31, 37, 47, 53, 181, 199, 211, 53, 241, 11, 17, 23, 31, 283, 293, 317, 31, 337, 53, 359, 7, 13, 23, 389, 401, 409, 421, 13, 23, 29, 467, 59, 71, 23, 509, 523, 547, 17, 23, 31, 577, 47, 53, 7, 619, 631, 47, 53, 661, 17, 263, 691, 281, 709, 299, 7, 13, 323]

cp's OEIS Frontend

A276435 Smallest integer z > 1 that satisfies all the integer congruences z mod i = b(i) mod i, where b(i) is the i-th composite between prime(k) and prime(k+1), 0 < i < prime(k+1) - prime(k) - 1, and k > 1 is the smallest integer not used by previous terms of the sequence.

Table of values

List of values

n	a(n)
1	23
2	31
3	47
4	53
5	13
6	23
7	89
8	113
9	11
10	139
11	31
12	37
13	47
14	53
15	181
16	199
17	211
18	53
19	241
20	11
21	17
22	23
23	31
24	283
25	293
26	317
27	31
28	337
29	53
30	359
31	7
32	13
33	23
34	389
35	401
36	409
37	421
38	13
39	23
40	29
41	467
42	59
43	71
44	23
45	509
46	523
47	547
48	17
49	23
50	31
51	577
52	47
53	53
54	7
55	619
56	631
57	47
58	53
59	661
60	17
61	263
62	691
63	281
64	709
65	299
66	7
67	13
68	323

n	a(n)
1	23
2	31
3	47
4	53
5	13
6	23
7	89
8	113
9	11
10	139
11	31
12	37
13	47
14	53
15	181
16	199
17	211
18	53
19	241
20	11
21	17
22	23
23	31
24	283
25	293
26	317
27	31
28	337
29	53
30	359
31	7
32	13
33	23
34	389
35	401
36	409
37	421
38	13
39	23
40	29
41	467
42	59
43	71
44	23
45	509
46	523
47	547
48	17
49	23
50	31
51	577
52	47
53	53
54	7
55	619
56	631
57	47
58	53
59	661
60	17
61	263
62	691
63	281
64	709
65	299
66	7
67	13
68	323

n	a(n)
1	23
2	31
3	47
4	53
5	13
6	23
7	89
8	113
9	11
10	139
11	31
12	37
13	47
14	53
15	181
16	199
17	211
18	53
19	241
20	11
21	17
22	23
23	31
24	283
25	293
26	317
27	31
28	337
29	53
30	359
31	7
32	13
33	23
34	389
35	401
36	409
37	421
38	13
39	23
40	29
41	467
42	59
43	71
44	23
45	509
46	523
47	547
48	17
49	23
50	31
51	577
52	47
53	53
54	7
55	619
56	631
57	47
58	53
59	661
60	17
61	263
62	691
63	281
64	709
65	299
66	7
67	13
68	323