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%I #7 Oct 15 2013 22:30:59
%S 2,4,4,4,6,6,4,4,6,6,6,4,6,8,4,14,14,6,10,10,6,4,6,4,12,12,12,12,4,6,
%T 6,6,4,14,14,4,14,6,10,6,8,4,6,8,4,10,6,8,4,4,12,8,4,12,18,18,6,10,6,
%U 6,10,4,12,12,10,12,4,10,10,8,10,6,8,4,8,14,10,12,10,10,14,4,14,4,4,20,8
%N Difference between smallest prime following and largest prime preceding 2*(n-th prime).
%e n=1: p(1)=2, 2p(1)=4 is between 3 and 5, their difference is 2=a(1); n=6: p(6)=13, 2p(6)=26 is between 23 and 29 and their difference is 6=a(6).
%p with(numtheory): [seq(nextprime(2*ithprime(j))-prevprime(2*ithprime(j)),j=2...256)];
%t dsplp[n_]:=Module[{np=2Prime[n]},NextPrime[np]-NextPrime[np,-1]]; Array[ dsplp,90,2] (* _Harvey P. Dale_, Mar 20 2013 *)
%Y Cf. A059786-A059790, A013633, A058043, A058249, A058044, A060267, A001223.
%K nonn
%O 2,1
%A _Labos Elemer_, Mar 23 2001