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.

A219547 Numbers k such that 2 times the least prime factor of 2^k + 1 is not the least m > 1 that divides sigma_k(m).

This page as a plain text file.
%I A219547 #6 Nov 27 2012 12:04:36
%S A219547 8,16,32,40,48,56,64,80,88,96,104,112,128,136,152,160,176,184,192,200,
%T A219547 208,224,232,240,248,256,272,280,296,304,320,328,336,344,352,368,376,
%U A219547 384,392,400,416,424,440,448,464,472,480,488,496
%N A219547 Numbers k such that 2 times the least prime factor of 2^k + 1 is not the least m > 1 that divides sigma_k(m).
%C A219547 Numbers k with 2*A002586(k) unequal to A066135(k).
%C A219547 A066135(n) <= 2*A002586(n) for all n (see Comments in A066135). Sequence gives those k for which A066135(k) < 2*A002586(k).
%C A219547 The corresponding least prime factors of 2^k + 1 are A219548.
%C A219547 See A007691 for references, links, and additional comments.
%F A219547 A066135(a(n)) < 2*A002586(a(n)).
%F A219547 A002586(a(n)) = A219548(n).
%e A219547 A066135(n) = 6,10,6,34,6,10,6 = 2*A002586(n) for n = 1,2,3,4,5,6,7, and A066135(8) = 84 < 2*257 = 2*A002586(8), so a(1) = 8.
%Y A219547 Cf. A002586, A007691, A066135, A219548.
%K A219547 nonn
%O A219547 1,1
%A A219547 _Jonathan Sondow_, Nov 24 2012