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A127364 Primes in A126558.

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%I A127364 #6 Mar 28 2020 04:28:27
%S A127364 1693333,14251277,17306687,18067739,25852399,29126567,55781581,
%T A127364 62333321,113347009,173863769,204308891,211281809,247612801,256102939,
%U A127364 267030149,267670129,277108457,291010691,298502489,337176617,365570923,370598051
%N A127364 Primes in A126558.
%C A127364 Prime interprimes of fourth order.
%C A127364 Primes that are the arithmetic mean of two consecutive prime interprimes of third order; primes of the form (A126557(k)+A126557(k+1))/2.
%H A127364 Amiram Eldar, <a href="/A127364/b127364.txt">Table of n, a(n) for n = 1..1900</a>
%o A127364 (PARI) {m=400000000;a=0;g=0;e=0;p=2;q=3;r=5;while(r<=m,if((p+r)/2==q,if(a>0,b=(a+q)/2;if(isprime(b),if(g>0,h=(g+b)/2;if(isprime(h),if(e>0,f=(e+h)/2;if(isprime(f),print1(f,",")));e=h));g=b));a=q);p=q;q=r;r=nextprime(r+1))}
%Y A127364 Cf. A006562 (balanced primes), A024675 (interprimes), A126554 (interprimes of second order), A126555 (prime interprimes of second order), A126556 (interprimes of third order), A126557 (prime interprimes of third order), A126558 (interprimes of fourth order).
%K A127364 nonn
%O A127364 1,1
%A A127364 _Klaus Brockhaus_, Jan 11 2007