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%I #3 Mar 31 2012 10:33:15
%S 4,2,3,2,4,2,5,3,2,6,2,4,7,4,3,3,8,3,5,9,3,5,4,3,5,11
%N Smallest number whose reciprocal fits in the square-root gap of consecutive primes.
%C Is the limit of sqrt(P_(n+1)) - sqrt(P_n) 0?
%D Jim Ferry, sci.math, Jan 30 2003
%F a(n) = ceiling(1/(w'-w)) where w=sqrt(p(n)) and w'=sqrt(p(n+1))
%e a(3) = 3 because p(3)=5, p(4)=7, w=sqrt(5) w'=sqrt(7) and 1/(w'-w)=2.44.
%Y Cf. A000040.
%K easy,nonn
%O 1,1
%A _Rainer Rosenthal_, Jan 30 2003
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