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Added Goldbach's Conjecture algorithm. #6127

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Jan 13, 2025
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55 changes: 55 additions & 0 deletions src/main/java/com/thealgorithms/maths/GoldbachConjecture.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,55 @@
package com.thealgorithms.maths;

import static java.lang.String.format;

import java.util.Scanner;

/**
* This is a representation of the unsolved problem of Goldbach's Projection, according to which every
* even natural number greater than 2 can be written as the sum of 2 prime numbers
* More info: https://en.wikipedia.org/wiki/Goldbach%27s_conjecture
* @author Vasilis Sarantidis (https://github.com/BILLSARAN)
*/

public final class GoldbachConjecture {
private GoldbachConjecture() {
}

/**
* Checks whether a number is prime or not
* @param n the input number
* @return true if n is prime, else return false
*/
private static boolean isPrime(int n) {
int i;
if (n <= 1 || (n % 2 == 0 && n != 2)) {
return false;
} else {
for (i = 3; i < Math.sqrt(n); i += 2) {
if (n % i == 0) {
return false;
}
}
}
return true;
}

public static void main(String[] args) {

Scanner scanner = new Scanner(System.in);
System.out.println("Enter a number");
int n = scanner.nextInt();
int flag = 0;

if (n % 2 == 0 && n > 2) {
for (int i = 0; i <= n / 2 && flag == 0; i++) {
if (isPrime(i) && isPrime(n - i)) {
System.out.println(format("%d + %d = %d", i, n - i, n));
flag = 1;
}
}
} else {
System.out.println("Wrong Input");
}
}
}
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