Project Euler(3)
Posted on Monday, November 24th, 2008 at 10:26 pm by Universe QueenProblem 3:
The prime factors of 13195 are 5, 7, 13 and 29.
What is the largest prime factor of the number 600851475143 ?
Answer: 6857
Implementation in Java:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 | public class Euler3 { public static boolean isPrime( long number ) { if( number < 2 ) { return false; } else if ( number == 2 ) { return true; } else { for( long i=2; i<=Math.sqrt(number); i++ ) { if( number%i == 0 ) { return false; } } } return true; } public static void main(String[] args) { long result = 0; for( long i=2; i<Math.sqrt(600851475143l); i++ ) { if( isPrime(i) ) { if( 600851475143l%i == 0 ) { result = i; } } } System.out.println( result ); } } |

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