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.

A182029 Least odd k > a(n-1) such that 3*k*2^n-1 is a prime number.

This page as a plain text file.
%I A182029 #9 Sep 12 2023 16:03:56
%S A182029 1,5,7,9,15,25,31,33,35,45,47,49,59,65,91,115,127,135,137,149,165,175,
%T A182029 183,185,217,225,245,273,279,287,303,349,359,429,433,445,457,525,577,
%U A182029 593,599,629,641,673,675,679,727,749,775,795,835,855,973,1049,1087
%N A182029 Least odd k > a(n-1) such that 3*k*2^n-1 is a prime number.
%C A182029 As n increases a(n)/A000217(n) tends to 0.45.
%H A182029 Pierre CAMI, <a href="/A182029/b182029.txt">Table of n, a(n) for n = 1..5000</a>
%t A182029 lok[{n_,a_}]:=Module[{k=a+2,c=3*2^n},While[!PrimeQ[c*k-1],k+=2];{n+1,k}]; Drop[NestList[ lok,{1,1},60][[;;,2]],{2}] (* _Harvey P. Dale_, Sep 12 2023 *)
%Y A182029 Cf. A210651.
%K A182029 nonn
%O A182029 1,2
%A A182029 _Pierre CAMI_, Apr 07 2012