5. An integer is said to be prime if it's divisible by onlv 1 and itself. For example, 2, 3, 5 and 7 are prime, but 4, 6, 8 and 9 are not a. Write a function that determines whether a number is prime. b. Use this function in a program that determines and prints all the prime numbers between 1 and 10,000. How many of these 10,000 numbers do you really have to test before being sure that you have found all the primes? C. Initially you might think that n/2 is the upper limit for which you must test to see whether a number is prime, but you need go only as high as the square root of n. Rewrite the program, and run it both ways. Estimate the performance improvement.
5. An integer is said to be prime if it's divisible by onlv 1 and itself. For example, 2, 3, 5 and 7 are prime, but 4, 6, 8 and 9 are not a. Write a function that determines whether a number is prime. b. Use this function in a program that determines and prints all the prime numbers between 1 and 10,000. How many of these 10,000 numbers do you really have to test before being sure that you have found all the primes? C. Initially you might think that n/2 is the upper limit for which you must test to see whether a number is prime, but you need go only as high as the square root of n. Rewrite the program, and run it both ways. Estimate the performance improvement.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:5. An integer is said to be prime if it's divisible by onlv 1 and itself. For example, 2, 3,
5 and 7 are prime, but 4, 6, 8 and 9 are not
a. Write a function that determines whether a number is prime.
b. Use this function in a program that determines and prints all the prime
numbers between 1 and 10,000. How many of these 10,000 numbers do you
really have to test before being sure that you have found all the primes?
C. Initially you might think that n/2 is the upper limit for which you must test to
see whether a number is prime, but you need go only as high as the square
root of n. Rewrite the program, and run it both ways. Estimate the
performance improvement.
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