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%I #6 Mar 28 2020 04:28:27
%S 1693333,14251277,17306687,18067739,25852399,29126567,55781581,
%T 62333321,113347009,173863769,204308891,211281809,247612801,256102939,
%U 267030149,267670129,277108457,291010691,298502489,337176617,365570923,370598051
%N Primes in A126558.
%C Prime interprimes of fourth order.
%C 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 Amiram Eldar, <a href="/A127364/b127364.txt">Table of n, a(n) for n = 1..1900</a>
%o (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 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 nonn
%O 1,1
%A _Klaus Brockhaus_, Jan 11 2007
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