This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A177014 #11 Mar 09 2018 12:13:33
%S A177014 1,1,1,18,18,8628,748668,2506980,228698250,228698250
%N A177014 a(n) is the smallest number m such that all the n numbers 1!*m+1, 2!*m+1, ..., n!*m+1 are prime.
%e A177014 a(5)=18 because each of the five numbers 1!*18+1, 2!*18+1, 3!*18+1, 4!*18+1 and 5!*18+1 is prime, and 18 is the smallest such number.
%e A177014 The corresponding primes are:
%e A177014 n=1: 2;
%e A177014 n=2: 2, 3;
%e A177014 n=3: 2, 3, 7;
%e A177014 n=4: 19, 37, 109, 433;
%e A177014 n=5: 19, 37, 109, 433, 2161;
%e A177014 n=6: 8629, 17257, 51769, 207073, 1035361, 6212161;
%e A177014 n=7: 748669, 1497337, 4492009, 17968033, 89840161, 539040961, 3773286721;
%e A177014 ...
%o A177014 (PARI) okm(m, n) = {for (k=1, n, if (! isprime(k!*m+1), return (0));); return (1);}
%o A177014 a(n) = {m = 1; while(! okm(m, n), m++); m;} \\ _Michel Marcus_, Jun 08 2014
%Y A177014 Cf. A177013.
%K A177014 more,nonn
%O A177014 1,4
%A A177014 _Enoch Haga_ and _Farideh Firoozbakht_, May 20 2010
%E A177014 a(10) corrected by _Jon E. Schoenfield_, Mar 07 2018