A210393 - cp's OEIS frontend

A210393 a(n) = least integer m>1 such that S_k! for k=1,...,n are pairwise distinct modulo m where S_k is the sum of the first k primes.

n	a(n)
1	2
2	3
3	7
4	13
5	19
6	29
7	43
8	61
9	79
10	101
11	131
12	167
13	199
14	239
15	293
16	331
17	389
18	443
19	503
20	571
21	641
22	719
23	797
24	877
25	971
26	1063
27	1163
28	1277
29	1373
30	1481
31	1601
32	1721
33	1861
34	1997
35	2131
36	2281
37	2437
38	2591
39	2753
40	2927
41	3089
42	3271
43	3457
44	3659
45	3847
46	4049
47	4231
48	4441
49	4663
50	4889

[2, 3, 7, 13, 19, 29, 43, 61, 79, 101, 131, 167, 199, 239, 293, 331, 389, 443, 503, 571, 641, 719, 797, 877, 971, 1063, 1163, 1277, 1373, 1481, 1601, 1721, 1861, 1997, 2131, 2281, 2437, 2591, 2753, 2927, 3089, 3271, 3457, 3659, 3847, 4049, 4231, 4441, 4663, 4889]

cp's OEIS Frontend

A210393 a(n) = least integer m>1 such that S_k! for k=1,...,n are pairwise distinct modulo m where S_k is the sum of the first k primes.

Table of values

List of values