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79 changes: 22 additions & 57 deletions prime-number.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -2,64 +2,29 @@
*
* a program that tests if a given integer is prime
*
* Author: cmhughes
* Date: November 18th, 2016
* Author: Raj Valand
* Date: September 24th, 2020
*
* Input: user is requested for a number, n;
*
* Output: the program details all of the
* integers <= n, tests them to see if they
* are prime, and gives a 1/0 for prime/not prime respectively
*
* reference: https://en.wikipedia.org/wiki/Primality_test#Pseudocode
*
*/
#include <iostream>
#include <cassert>
#include <cmath>

int main() {
// declare the is_prime routine
int is_prime(int integer_to_be_tested);
int maximum_integer;
int total_primes_in_range = 0;

// request user input, and validate
std::cout << "Enter a integer:\n";
std::cin >> maximum_integer;
assert(maximum_integer > 0);

// loop through from 1 to maximum integer
for(int i=1; i<=maximum_integer; i++){
std::cout << "is " << i << " prime? " << is_prime(i) << "\n";
is_prime(i) ? total_primes_in_range++ : 0;
}

std::cout << "Total number of prime numbers from 1 to " << maximum_integer << " is: " << total_primes_in_range;
return (0);
}

int is_prime(int integer_to_be_tested){
assert(integer_to_be_tested > 0);
switch (integer_to_be_tested){
case 1:
return 1;
case 2:
return 1;
case 3:
return 1;
default:
// if the integer is even, return immediately
if(integer_to_be_tested % 2 == 0){
return 0;
}
#include<bits/stdc++.h>
using namespace std;

// otherwise, proceed with the alogorithm
for(int i=2; i<=sqrt(integer_to_be_tested); i++){
if( (integer_to_be_tested % i)==0 or (integer_to_be_tested % (i+2)) ==0 ){
return 0;
}
}
return 1;
}
}
int main(){
int n;
cin>>n;
int a[n];
for(int i=0;i<n;i++)
a[i] = 0;
for(int i=2;i<=sqrt(n);i++){
for(int j = i+1;j<=n;j++){
if(j%i == 0)
a[j] = 1;
}
}
for(int i=2;i<=n;i++){
if(a[i]==0)
cout<<i<<endl;
}
return 0;
}