In mathematics, a prime number is a natural number greater than 1 that is not a product of two smaller natural numbers, i.e. is it has only two factors 1 and itself. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. Note that the prime number series is: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, ... а. Write a Java method named isPrime that takes a natural number as a parameter and returns the if the given number is prime or not using the following header: Public static boolean isPrime (int num) b. Write a Java class called PrimeNumbers that: Reads from the user a natural value n (should be less than or equal 200). Prints a list of the prime numbers from 2 to n and their number and values. The program has to work EXACTLY as given in the following sample run. Hints: You should create a single dimension array to store the prime numbers less than or equal n. You have to check all the natural numbers less than or equal n starting from 1. 1 is not a prime number while 2 is. ======= !======= Sample Run: Enter a natural number (should be less than or equal 100): 120 Enter a natural number (should be less than or equal 200): 99 There are 26 prime number less than or equal 99 and they are: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97. ==== ===
In mathematics, a prime number is a natural number greater than 1 that is not a product of two smaller natural numbers, i.e. is it has only two factors 1 and itself. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. Note that the prime number series is: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, ... а. Write a Java method named isPrime that takes a natural number as a parameter and returns the if the given number is prime or not using the following header: Public static boolean isPrime (int num) b. Write a Java class called PrimeNumbers that: Reads from the user a natural value n (should be less than or equal 200). Prints a list of the prime numbers from 2 to n and their number and values. The program has to work EXACTLY as given in the following sample run. Hints: You should create a single dimension array to store the prime numbers less than or equal n. You have to check all the natural numbers less than or equal n starting from 1. 1 is not a prime number while 2 is. ======= !======= Sample Run: Enter a natural number (should be less than or equal 100): 120 Enter a natural number (should be less than or equal 200): 99 There are 26 prime number less than or equal 99 and they are: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97. ==== ===
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![In mathematics, a prime number is a natural number greater than 1 that is not a product of two
smaller natural numbers, i.e. is it has only two factors 1 and itself. A natural number greater than
1 that is not prime is called a composite number. For example, 5 is prime because the only ways
of writing it as a product, 1 × 5 or 5 x 1, involve 5 itself.
Note that the prime number series is: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, ..
a. Write a Java method named isPrime that takes a natural number as a parameter and returns the
if the given number is prime or not using the following header:
Public static boolean isPrime (int num)
b. Write a Java class called PrimeNumbers that:
Reads from the user a natural value n (should be less than or equal 200).
Prints a list of the prime numbers from 2 to n and their number and values.
The program has to work EXACTLY as given in the following sample run.
Hints:
You should create a single dimension array to store the prime numbers less than or equal n.
You have to check all the natural numbers less than or equal n starting from 1.
1 is not a prime number while 2 is.
===========:
:=========
Sample Run:
Enter a natural number (should be less than or equal 100): 120
Enter a natural number (should be less than or equal 200): 99
There are 26 prime number less than or equal 99 and they are:
2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
73, 79, 83, 89 and 97.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c88ade2-3e75-4612-ae73-28541981a173%2F0df3b684-f96e-4ea4-92fe-09b0fd7afc5e%2Flnjpdvp_processed.png&w=3840&q=75)
Transcribed Image Text:In mathematics, a prime number is a natural number greater than 1 that is not a product of two
smaller natural numbers, i.e. is it has only two factors 1 and itself. A natural number greater than
1 that is not prime is called a composite number. For example, 5 is prime because the only ways
of writing it as a product, 1 × 5 or 5 x 1, involve 5 itself.
Note that the prime number series is: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, ..
a. Write a Java method named isPrime that takes a natural number as a parameter and returns the
if the given number is prime or not using the following header:
Public static boolean isPrime (int num)
b. Write a Java class called PrimeNumbers that:
Reads from the user a natural value n (should be less than or equal 200).
Prints a list of the prime numbers from 2 to n and their number and values.
The program has to work EXACTLY as given in the following sample run.
Hints:
You should create a single dimension array to store the prime numbers less than or equal n.
You have to check all the natural numbers less than or equal n starting from 1.
1 is not a prime number while 2 is.
===========:
:=========
Sample Run:
Enter a natural number (should be less than or equal 100): 120
Enter a natural number (should be less than or equal 200): 99
There are 26 prime number less than or equal 99 and they are:
2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
73, 79, 83, 89 and 97.
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