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.

A081531 Primes p such that (r-p)/log(p) > 2, where r is the next prime after p.

This page as a plain text file.
%I A081531 #6 Jun 22 2014 17:11:20
%S A081531 7,113,139,199,211,293,317,523,773,839,863,887,953,1069,1129,1259,
%T A081531 1327,1381,1637,1669,1759,1831,1913,1933,1951,2113,2161,2179,2221,
%U A081531 2251,2311,2477,2503,2557,2593,2803,2861,2971,3089,3137,3229,3271,3413,3469,3739
%N A081531 Primes p such that (r-p)/log(p) > 2, where r is the next prime after p.
%H A081531 Harvey P. Dale, <a href="/A081531/b081531.txt">Table of n, a(n) for n = 1..1000</a>
%F A081531 prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 2.
%e A081531 If p=1327 then r=1361 and (r-p)/log(p) = 34/log(1327) = 4.72834..., so 1327 is in the sequence.
%t A081531 Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>2, Print[Prime[n]]], {n, 1, 2000}]
%t A081531 Transpose[Select[Partition[Prime[Range[600]],2,1],(Last[#]-First[#])/ Log[ First[#]]>2&]][[1]] (* _Harvey P. Dale_, Jun 22 2014 *)
%Y A081531 Cf. A082862, A082884-A082886, A082889-A082891.
%K A081531 nonn
%O A081531 1,1
%A A081531 _Labos Elemer_, Apr 17 2003