Thats correct answer. I just wrote a simple JavaScript to find it.
var prisons=new Array(101);
for(var i=0; i<prisons.length; i++){
prisons[i]=false;
}
for(var i=1; i<=100; i++){
for(var j=1; j<=100; j++){
if(i%j == 0){
prisons[i]= !prisons[i];
}
}
}
var res = [];
for(var i=1; i<prisons.length; i++){
if(prisons[i]){
res.push(i);
}
}
alert(res.join(","));
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