Prime numbers can also be generated by an algorithm known as the Sieve of Eratosthenes
Prime numbers can also be generated by an algorithm known as the Sieve of Eratosthenes
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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question
Prime numbers can also be generated by an algorithm known as the
Sieve of Eratosthenes
.
The algorithm for this procedure is presented here. Write a program that implements this
algorithm so as to find all prime numbers up to n = 150.
Sieve of Eratosthenes Algorithm
To Display All Prime Numbers Between 1 and n
Step 1:
Define an array of integers
P
. Set all elements
P
i
to 0, 2 <=
i
<= n.
Step 2:
Set
i
to 2.
Step 3:
If
i
>
n
, the algorithm terminates.
Step 4:
If
P
i
is 0 (value i is a prime number), then
i
is prime and display its value.
Step 5:
For
all positive integer values of
j
, such that
i
*
j
≤
n
, set
P
i
∗
j
to 1 (non - prime).
Step 6:
Add 1 to
i
and go to step 3
Expert Solution
Step 1
Using C++ language
Step by step
Solved in 2 steps
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