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%I #8 Apr 28 2014 02:45:50
%S 1,2,1,3,2,1,2,2,3,1,2,1,1,3,4,2,2,1,2,2,1,3,2,2,4,1,2,2,1,1,2,2,1,2,
%T 2,3,1,2,3,1,2,1,2,1,2,2,2,3,2,1,2,2,5,2,1,2,2,2,1,1,2,2,2,2,1,1,3,2,
%U 2,4,1,3,3,1,2,2,1,1,1,1,2,1,2,1,3,2
%N Distance from prime(n) to the closest larger squarefree number.
%H Chris Boyd, <a href="/A240474/b240474.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = A112926(n) - A000040(n). - _Michel Marcus_, Apr 10 2014
%e a(9) = 3 because 3 is the gap between prime(9) = 23 and the closest larger squarefree number 26.
%o (PARI) forprime(p=1,450,for(j=p+1,2*p,if(issquarefree(j),print1(j-p", ");break)))
%Y Cf. A000040, A112926, A166003, A176141, A240473, A240475, A240476.
%K nonn
%O 1,2
%A _Chris Boyd_, Apr 06 2014
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