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a(n) is the largest number k such that there is no pair p+q = 2*k of two non-consecutive primes p < q with p-2*n,p or p,p+2*n consecutive primes and q-2*n,q or q,q+2*n consecutive primes.
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%I #8 Jul 10 2021 21:01:03

%S 2104,5573,4093,20131,19637,22523,177913,334634,167084,441730

%N a(n) is the largest number k such that there is no pair p+q = 2*k of two non-consecutive primes p < q with p-2*n,p or p,p+2*n consecutive primes and q-2*n,q or q,q+2*n consecutive primes.

%C In other words, there is at least one pair p+q as define = 2*A for each number A > a(n).

%Y Cf. A159700, A159704, A159708.

%K hard,more,nonn

%O 1,1

%A _Pierre CAMI_, Apr 22 2009