Chapter 5. PC #13. isPrime Method A prime number is a number that is evenly divisible only by itself and 1. For example, the number 5 is prime because it can be evenly divided only by 1 and 5. The number 6, however, is not prime because it can be divided evenly by 1, 2, 3, and 6. Write a method named isPrime, which takes an integer as an argument and returns true if the argument is a prime number, or false otherwise. Demonstrate the method in a complete program. The program should ask the user to enter a number for primality test or a negative number to exit. Tip: Recall that the % operator divides one number by another, and returns the remainder of the division. In an expression such as num1 % num2, the % operator will return 0 if num1 is evenly divisible by num2.     Test Case 1       Please enter a number to check for primality or -1 to exit:\n 2ENTER 2 is a prime number.\n Please enter a number to check for primality or -1 to exit:\n 3ENTER 3 is a prime number.\n Please enter a number to check for primality or -1 to exit:\n 4ENTER 4 is not a prime number.\n Please enter a number to check for primality or -1 to exit:\n 25ENTER 25 is not a prime number.\n Please enter a number to check for primality or -1 to exit:\n 101ENTER 101 is a prime number.\n Please enter a number to check for primality or -1 to exit:\n -1ENTER   Test Case 2       Please enter a number to check for primality or -1 to exit:\n -10ENTER Invalid input.\n Please enter a number to check for primality or -1 to exit:\n 0ENTER Invalid input.\n Please enter a number to check for primality or -1 to exit:\n 2ENTER 2 is a prime number.\n Please enter a number to check for primality or -1 to exit:\n -1ENTER

2. A pentagonal number is defined as n(3n-1)/2 for n = 1, 2, ..., etc.. Therefore, the first few numbers are 1, 5, 12, 22, ... . Write a method with the following header that returns a pentagonal number: %3D public static int getPentagonalNumber(int n) For example, getPentagonalNumber(1) returns 1 and getPentagonalNumber(2) returns 5. Write a test program that uses this method to display the first 100 pentagonal numbers with 10 numbers on each line. Numbers are separated by exactly one space.

In python and include doctring: First, write a class named Movie that has four data members: title, genre, director, and year. It should have: an init method that takes as arguments the title, genre, director, and year (in that order) and assigns them to the data members. The year is an integer and the others are strings. get methods for each of the data members (get_title, get_genre, get_director, and get_year). Next write a class named StreamingService that has two data members: name and catalog. the catalog is a dictionary of Movies, with the titles as the keys and the Movie objects as the corresponding values (you can assume there aren't any Movies with the same title). The StreamingService class should have: an init method that takes the name as an argument, and assigns it to the name data member. The catalog data member should be initialized to an empty dictionary. get methods for each of the data members (get_name and get_catalog). a method named add_movie that takes a Movie…

Repeating String Write a method that takes a String and an int and return a String that is the original String repeated n times. For example, repeatString("Famous", 3) should return "FamousFamousFamous" The method signature should be public String repeatString(String str, int n)   public String repeatString(String str, int n) { //declare a string variable   //set up statements for repeating n number of times         //create the appropriate return statement   }