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A152735 Count of links in n-th maximal chain of primes.

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%I A152735 #5 Mar 30 2012 17:27:56
%S A152735 2,3,1,1,2,4,3,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,1,2,1,2,
%T A152735 4,1,1,1,1,2,1,1,1,1,1,1,2,1,2,2,1,1,1,1,2,1,1,1,2,1,1,1,6,1,4,2,1,1,
%U A152735 1,1,1,1,1,1,1,1,1,1,4,1,1,2,2,2,2,1,1,2,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,2,1
%N A152735 Count of links in n-th maximal chain of primes.
%C A152735 One less than count of members of n-th maximal chain of primes. For definitions see A152658.
%H A152735 Klaus Brockhaus, <a href="/A152735/b152735.txt">Table of n, a(n) for n=1..1000</a>
%e A152735 The consecutive primes 5, 7, 11 form the first maximal chain of primes (see example in A152658); it has three members, two links. Therefore a(1) = 2.
%o A152735 (PARI) {n=1; while(n<560, c=0; while(isprime(n*prime(n)+(n+1)*prime(n+1)), c++; n++); if(c>0, print1(c, ",")); n++)}
%Y A152735 Cf. A152658 (beginnings of maximal chains of primes), A152657 (secluded primes), A119487 (primes of the form i*(i-th prime) + (i+1)*((i+1)-th prime), linking primes).
%K A152735 nonn
%O A152735 1,1
%A A152735 _Klaus Brockhaus_, Dec 16 2008