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July 1, 2016 13:17
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Google Billboard Puzzle
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import java.math.BigDecimal; | |
import java.math.MathContext; | |
public class EulersNumber { | |
public static void main(String[] args) { | |
BigDecimal e = BigDecimal.ONE; | |
BigDecimal bigDecimal = BigDecimal.ONE; | |
for(int i=1;i<100;i++) { | |
bigDecimal = bigDecimal.multiply(new BigDecimal(i * 1.0 + "")); | |
e = e.add(new BigDecimal(1.0 + "").divide(bigDecimal, new MathContext(10000))); | |
} | |
String strDecimalPart = (e + "").substring(2); | |
for(int i=0;i<strDecimalPart.length()-10;i++) { | |
long num = Long.parseLong(strDecimalPart.substring(i,i+10)); | |
if(isPrime(num)) { | |
System.out.println("First 10 digit prime number in the decimal part of e : " + num); | |
break; | |
} | |
} | |
} | |
public static boolean isPrime (long n) { | |
if (n<=1) return false; | |
if (n==2) return true; | |
if (n%2==0) return false; | |
long m = (long) Math.sqrt(n); | |
for (long i=3; i<=m; i+=2) | |
if (n%i==0) | |
return false; | |
return true; | |
} | |
} |
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