Add Newman–Shanks–Williams prime (#2884) (#2955)

Co-authored-by: Andrii Siriak <siryaka@gmail.com>

src/test/java/com/thealgorithms/others/NewManShanksPrimeTest.java

@@ -0,0 +1,55 @@
+package com.thealgorithms.others;
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.*;
+
+import com.thealgorithms.dynamicprogramming.NewManShanksPrime;
+public class NewManShanksPrimeTest {
+    @Test
+	void testOne() 
+	{
+		assertTrue(NewManShanksPrime.nthManShanksPrime(1,1));
+	}
+
+	@Test
+	void testTwo() 
+	{
+		assertTrue(NewManShanksPrime.nthManShanksPrime(2,3));
+	}
+
+	@Test
+	void testThree() 
+	{
+		assertTrue(NewManShanksPrime.nthManShanksPrime(3,7));
+	}
+
+	@Test
+	void testFour() 
+	{
+		assertTrue(NewManShanksPrime.nthManShanksPrime(4,17));
+	}
+
+	@Test
+	void testFive() 
+	{
+		assertTrue(NewManShanksPrime.nthManShanksPrime(5,41));
+	}
+
+	@Test
+	void testSix() 
+	{
+		assertTrue(NewManShanksPrime.nthManShanksPrime(6,99));
+	}
+
+    @Test
+	void testSeven() 
+	{
+		assertTrue(NewManShanksPrime.nthManShanksPrime(7,239));
+    }
+
+	@Test
+	void testEight() 
+	{
+		assertTrue(NewManShanksPrime.nthManShanksPrime(8,577));
+	}
+	
+}