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 A057131 #6 Sep 08 2013 02:55:39 %S A057131 29,329,5609,129029,3741869,153416669,7210583489,382160924969, %T A057131 22547494573229,1600872114699329,132872385520044389, %U A057131 11825642311283950709,1194389873439679021709,127799716458045655322969,14441367959759159051495609,1891819202728449835745924909 %N A057131 One less than six times product of first n primes of form 6k-1. %C A057131 a(n)=5 mod 6, so a(n) has at least one prime factor of form 6k-1 and this is not one of those included in the calculation of a(n); for example 5609 has 71 as a prime factor. Therefore there are an infinite number of prime numbers of form 6k-1 (and also of form 3k-1). %F A057131 a(n) = (a(n-1)+1)*A007528(n)-1 = 6*A057130(n)-1. %e A057131 a(3) = 6*(5*11*17)-1 = 5609. %o A057131 (PARI) lista(nn) = {pp = 6; for (n = 1, nn, p = prime(n); if (Mod(p, 6) == -1, pp *= p; print1(pp-1, ", ")););} \\ _Michel Marcus_, Sep 08 2013 %Y A057131 Cf. A007528, A057130. %K A057131 nonn,easy %O A057131 1,1 %A A057131 _Henry Bottomley_, Aug 11 2000 %E A057131 More terms from Larry Reeves (larryr(AT)acm.org), Oct 06 2000 %E A057131 More terms from _Michel Marcus_, Sep 08 2013