Added the Goldbach's Conjecture algorithm

Author: BILLSARAN

src/main/java/com/thealgorithms/maths/GoldbachConjecture.java

@@ -0,0 +1,57 @@
+package com.thealgorithms.maths;
+
+import java.util.Scanner;
+
+import static java.lang.String.format;
+
+/**
+ * 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))
+                    if(isPrime(n-i))
+                    {
+                        System.out.println(format("%d+%d=%d", i, n-i, n));
+                        flag=1;
+                    }
+        }
+        else
+            System.out.println("Wrong Input");
+    }
+
+}