please write in Java with // explanations with 1 class and 2 instance variables; 1 for part b and 1 for part c.

Pestngnumbers much larger than 1000. Display the results. 5.25 ple, 2, 3, 5 and 7 are prime, but 4, 6, 8 and 9 are not. The number 1, by definition, is not prime (Prime Numbers) A positive integer is prime if it's divisible by only 1 and itself. For exam- a) b) Use this method in an application that determines and displays all the prime numbers Write a method that determines whether a number is prime less than 10,000. How many numbers up to 10,000 do you have to test to ensure that you've found all the primes? Initially, you might think that n/2 is the upper limit for which you must test to see whether a number n is prime, but you need only go as high as the square root of n. Re- write the program, and run it both ways c)