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A098418 Number of prime triples (p,q,r) with p<q<r=p+6, containing the n-th prime. 5

%I #4 Mar 30 2012 18:50:45

%S 0,0,1,2,3,3,3,2,1,0,0,1,2,2,1,0,0,0,1,1,1,0,0,0,1,2,3,3,2,1,0,0,0,0,

%T 0,0,0,0,0,0,0,0,1,2,2,1,0,1,2,2,1,0,0,0,0,0,0,0,1,1,1,0,1,2,2,1,0,0,

%U 1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0

%N Number of prime triples (p,q,r) with p<q<r=p+6, containing the n-th prime.

%C 0 <= a(n) <= 3;

%C a(A098419(n))=0; a(A098420(n))>0; a(A098421(n))=1; a(A098422(n))=2; a(A098423(n))=3.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeTriplet.html">Prime Triplet</a>

%e A000040(13)=41: A007529(7)=41, A098414(6)=41 and

%e A098415(k)<>41 for all k, therefore a(13)=2.

%Y Cf. A007529, A098414, A098415.

%K nonn

%O 1,4

%A _Reinhard Zumkeller_, Sep 07 2004

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Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)