cp's OEIS Frontend

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.

A182315 Primes prime(n) such that prime(n+1) - prime(n) > log(n)^2.

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%I A182315 #28 May 07 2012 02:42:44
%S A182315 2,3,5,7,13,23,31,113,1327,31397,370261,492113,2010733,20831323,
%T A182315 25056082087,42652618343,2614941710599,19581334192423
%N A182315 Primes prime(n) such that prime(n+1) - prime(n) > log(n)^2.
%C A182315 Using terms of A002386, a(19) is probably 218209405436543. - _T. D. Noe_, Apr 24 2012
%t A182315 t = {}; Do[If[Prime[n + 1] - Prime[n] > Log[n]^2, AppendTo[t, Prime[n]]], {n, 10000}]; t (* _T. D. Noe_, Apr 24 2012 *)
%o A182315 (PARI) n=0;G=1;p=2;forprime(q=3,1e8,n++;if(q-p>=G&&q-p>log(n)^2, G=ceil(log(n)^2);print1(p", "));p=q) \\ _Charles R Greathouse IV_, Apr 24 2012
%Y A182315 Subsequence of A211073.
%Y A182315 Cf. A002386, A134266.
%K A182315 nonn,hard,more
%O A182315 1,1
%A A182315 _Thomas Ordowski_, Apr 24 2012
%E A182315 a(13)-a(16) from _Charles R Greathouse IV_, Apr 24 2012
%E A182315 a(17) from _Charles R Greathouse IV_, Apr 26 2012
%E A182315 a(18) from _Charles R Greathouse IV_, May 06 2012