%I A126618
%S A126618 4,7,11,17,23,27,31,39,45,53,59,67,74,82,87,95,103,111,122,127,131,
%T A126618 141,146,151,163,169,178,183,193,199,211,215,223,229,237,247,251,
%U A126618 263,271,278,290,298,307,314,325,334,342,349,358,362,369,377,383
%N A126618 Simili-primes of order 3.
%C A126618 Definition of simili-primes of order k: Start with the natural numbers 
               2,3,4,5,... Define an atom to be the k-th integer which cannot be 
               divided by another atom. The first atom is k+1. Repeat. Order 1 gives 
               the primes A000040, order 2 gives A123929. Orders 4,5,... give A126619, 
               A126620, A126621, ...
%C A126618 Invented by Hugo van der Sanden and Eric Angelini, computed by Mensanator.
%D A126618 J.-P. Delahaye, Inventiones \`{a} suivre, Pour la Science, No. 353, 2007.
%H A126618 Mensanator, <a href="b126618.txt">Table of n, a(n) for n = 1..150</a>
%H A126618 Eric Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/
               ThousandZetas.htm">Thousand Zetas</a>
%H A126618 Eric Angelini, <a href="a123929.html">Thousand Zetas</a>
%Y A126618 See A123929 for further details.
%Y A126618 Sequence in context: A020683 A038835 A097403 this_sequence A171452 A049648 
               A133257
%Y A126618 Adjacent sequences: A126615 A126616 A126617 this_sequence A126619 A126620 
               A126621
%K A126618 nonn
%O A126618 1,1
%A A126618 N. J. A. Sloane (njas(AT)research.att.com), Feb 09 2007