%I
%S 3,2,2,3,3,3,3,3,5,4,4,5,3,3,5,6,4,4,5,3,4,5,5,7,6,3,3,3,3,9,9,5,4,6,
%T 6,4,6,5,5,6,4,6,6,3,3,7,12,8,3,3,5,4,6,8,6,6,4,4,5,3,6,12,9,3,3,9,10,
%U 8,6,3,5,7,7,6,5,5,7,6,6
%N a(n) is the number of occurrences of the nth prime number in A051697.
%C Except for the second entry, the sequence also holds with respect to A077018.
%C a(n) equals A162345(n) for n>1 and equals A052288(n2) for n>2.  _Nathaniel Johnston_, Jun 25 2011
%H Nathaniel Johnston, <a href="/A115061/b115061.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = (prime(n+1)  prime(n1))/2 for n>=3.  _Nathaniel Johnston_, Jun 25 2011
%e The 5th prime number, 11, appears three times in A051697. Therefore a(5) = 3.
%t a = {3}; For[n = 2, n < 100, n++, c = 0; For[j = Prime[n  1], j < Prime[n + 1], j++, If[j < Prime[n], If[Prime[n]  j < j  Prime[n  1], c++ ], If[Not[Prime[n + 1]  j < j  Prime[n]], c++ ]]]; AppendTo[a, c]]; a
%K nonn,easy
%O 1,1
%A _Lekraj Beedassy_, Mar 01 2006
%E Edited and extended by _Stefan Steinerberger_, Oct 27 2007
