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素数判定(isPrime) 4種類

Posted at
function isPrime1(n) {
 if (isNaN(n) || !isFinite(n) || n%1 || n<2) return false; 
 var m=Math.sqrt(n);
 for (var i=2;i<=m;i++) if (n%i==0) return false;
 return true;
}

function isPrime2(n) {
 if (isNaN(n) || !isFinite(n) || n%1 || n<2) return false; 
 if (n%2==0) return (n==2);
 var m=Math.sqrt(n);
 for (var i=3;i<=m;i+=2) {
  if (n%i==0) return false;
 }
 return true;
}

function isPrime3(n) {
 if (isNaN(n) || !isFinite(n) || n%1 || n<2) return false; 
 if (n%2==0) return (n==2);
 if (n%3==0) return (n==3);
 var m=Math.sqrt(n);
 for (var i=5;i<=m;i+=6) {
  if (n%i==0)     return false;
  if (n%(i+2)==0) return false;
 }
 return true;
}

function isPrime4(n) {
 if (isNaN(n) || !isFinite(n) || n%1 || n<2) return false; 
 if (n==leastFactor(n)) return true;
 return false;
}

leastFactor = function(n){
 if (isNaN(n) || !isFinite(n)) return NaN;  
 if (n==0) return 0;  
 if (n%1 || n*n<2) return 1;
 if (n%2==0) return 2;  
 if (n%3==0) return 3;  
 if (n%5==0) return 5;  
 var m = Math.sqrt(n);
 for (var i=7;i<=m;i+=30) {
  if (n%i==0)      return i;
  if (n%(i+4)==0)  return i+4;
  if (n%(i+6)==0)  return i+6;
  if (n%(i+10)==0) return i+10;
  if (n%(i+12)==0) return i+12;
  if (n%(i+16)==0) return i+16;
  if (n%(i+22)==0) return i+22;
  if (n%(i+24)==0) return i+24;
 }
 return n;
}

DEMO
http://jsdo.it/_shimizu/uQYA

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