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Program 16 60 points (see Grading Notes for details Due April 10th 11:59 PM OVERVIEW OF PRIME NUMBERS In mathematics, a prime number (or a

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Program 16 60 points (see Grading Notes for details Due April 10th 11:59 PM OVERVIEW OF PRIME NUMBERS In mathematics, a prime number (or a prime) is a natural number greater than one whose only positive divisors are one and itself A natural number that is greater than one and is not a prime is called a composite number. The numbers zero and one are neither prime nor composite. The property of being a prime is called primality. Since 2 is the only even prime number, the term odd prime refers to all prime numbers greater than 2 Definition taken from http://en. wikipedia.org/wiki/Prime number In mathematics, a sexy prime is a pair (p, p 6) of prime numbers that differ by six. The name "sexy prime" stems from the Latin word for six: sex. Definition taken from http://en.wikipedia.org/wiki/sexy prime Some examples of sexy prime pairs are 5 and 11,7 and 13, and 461 and 467 For this program, you are first going to calculate the prime numbers between 1 and 50000 using an algorithm known as the Sieve of Eratosthenes and then display the sexy prime pairs within a range specified by the user. TEMPLATE TO START YOUR PROGRAM: NetID Sieve.java To get you started for this assignment, you will be given a main method. You will need to type this in as you see it here, without modifications other than to put in your on NetID and leave out the comments if you don't want to type them in. For this assignment, you will be creating the supporting methods in addition to main The discussion of each of the supporting methods is described on the following pages

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