Question
1. Write a Java program that consists of repeated calls to 2 methods to compute the sum and product of all integers between two bounds.
For example if the lower bound is 3 and the upper bound is 7, the first method will return the sum 25 (3 + 4 + 5 + 6 + 7) and the second method will return the product 2520 (3 * 4 * 5 * 6 * 7).
The program will include a loop (count controlled or sentinel controlled, your choice); inside the loop call the methods for various values of the lower bound and upper bound (user input - make sure you do input validation and check if the lower bound is less than the upper bound), and print the results.

The following specifications describe a method that computes the sum of all integers between 2 bounds:
Input parameters:
int lower, int upper (where lower is the lower bound and upper is the upper bound)
Return: the sum of all numbers between lower and upper

The following specifications describe a method that computes the product of all integers between 2 bounds:
Input parameters:
int lower, int upper (where lower is the lower bound and upper is the upper bound)
Return: the product of all numbers between lower and upper


2. Write a Java program that uses a value-returning method to identify the prime numbers between 2 bounds (input from the user).
The method should identify if a number is prime or not.
Call it in a loop for all numbers between the 2 bounds and display only prime numbers.
Check for errors in input.
Note: A number is prime if it is larger than 1 and it is divisible only by 1 and itself (Note: 1 is NOT a prime number)

Example: 15 is NOT prime because 15 is divisible by 1, 3, 5, and 15;
19 is prime because 19 is divisible only by 1 and 19.

Sample run:
How many times to test for prime numbers? -3
Error! Should be positive. Reenter: 3
Enter lower bound/upper bound: 5 3
Error! Lower bound should be larger. Reenter: 3 15
Prime numbers between 3 and 15 are: 3 5 7 11 13
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import java.util.Scanner;


/**
*
* @author
*/
public class question1 {

    /**
    * @param args the command line arguments
    */
    public static void main(String[] args) {
      
       Scanner sc = new Scanner(System.in);
       int lower;
       int upper;
       System.out.print("Enter lower bound: ");
       lower = sc.nextInt();
       System.out.print("Enter uppper bound: ");
       upper = sc.nextInt();
       System.out.println("Sum: " + first_method(lower, upper));
       System.out.println("Product: " + second_method(lower, upper));
    }
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        Backtrace
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        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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        1.18mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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        960μstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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        1.01mstwenty4_siteHomeworkLibrary.php#201
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        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
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        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (136)
        980μstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 10814 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        990μstwenty4_siteHomeworkLibrary.php#260
        Bindings
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        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
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        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
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        860μstwenty4_siteHomeworkLibrary.php#260
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        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
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        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
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