%I A152114
%S A152114 2,3,5,13,89,233,1597,4181,28657,514229,1346269,24157817,165580141,
%T A152114 433494437
%N A152114 Numbers a(n) are obtained by the application of an algorithm which is 
               similar to sieve of Eratosthenes for A000045: retaining A000045(3)=2, 
               we delete all multiples of 2, which are more than 2; retaining A000045(4)=3, 
               we delete all multiples of 3, which are more than 3, etc.
%C A152114 Since, as known, A000045((m,n))=(A000045(m),A000045(n)), then the indices 
               of a(n) as terms of A000045, i.e., 3,4,5,7,11,13,..., except of 4, 
               are the consecutive odd primes.
%C A152114 Apparently a variant of A030426. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Nov 27 2008]
%Y A152114 A000045 A005478 A075736
%Y A152114 Sequence in context: A001685 A074691 A139589 this_sequence A139095 A005478 
               A117740
%Y A152114 Adjacent sequences: A152111 A152112 A152113 this_sequence A152115 A152116 
               A152117
%K A152114 nonn
%O A152114 1,1
%A A152114 Vladimir Shevelev (shevelev(AT)bgu.ac.il), Nov 24 2008