[seqfan] A095075 and A177835,A177836

Vladimir Shevelev shevelev at bgu.ac.il
Fri May 14 14:15:27 CEST 2010

Dear Seqfans,

I have just submitted 2 following sequences:

%I A177835
%S A177835 17,37,41,67,73,97,131,137,139,149,163,193,197,257,263,269,277,281,293,
%T A177835 337,353,389,401,449,521,523,547,577,593,641,643,673,769,773,1031
%N A177835 Primes p for which there exists a prime q<p with the condition: A000120(q)>=2*A000120(p)-1 
%C A177835 All terms a(n)<541 are in A095075. 
%Y A177835 A000120 A014499 A095075 A061712 A177768 
%K A177835 nonn
%O A177835 1,1
%A A177835 Vladimir Shevelev (shevelev(AT)bgu.ac.il), May 14 2010

In fact, in %C one can remove "a(n)<541", i.e. it is clear that A177835 is a subsequence of A095075. On the other hand,  the following sequence lists the terms of A095075 which are not in

%I A177836
%S A177836 2,541,557,563,569,587,601,613,617,647,653,659,661,677,709,787
%N A177836 Terms of A095075 which are not in A177835 
%C A177836 Note that 26 consecutive terms of A095075 beginning with A095075(2)=17 and up to A095075(27)=523 are in A177835. 
%Y A177836 A095075 A177835 A000120 A014499 A061712 A177768 
%K A177836 nonn
%O A177836 1,1
%A A177836 Vladimir Shevelev (shevelev(AT)bgu.ac.il), May 14 2010

What is the relative upper and lower density of A177836 with respect to A095075?

Best regards,

 Shevelev Vladimir‎

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