Write a program that takes a 3 digit number n and finds out
whether
the number 2^n + 1 is prime, or if it is not prime find out its
factors.

Answer Posted / beena

#include <iostream>
using namespace std;
void prime_num(int);
int main()
{
cout << " Enter a number ";
int num = 0;
cin >> num;

if((num/100>0)&&(num/100<10))
printf("\nNumber is of 3 Digits");
else
printf("\nNot a 3 digit number");

bool flag = prime_num(num);

if(!flag)
{
printf("\nNumber %d is not a prime",n);
printf("\nIts factors are:\n\t");

x=2;
while(num!=1)
{
while(num%x==0)
{
num=num/x;
printf("%d ",x);
}
x++;
}
}

}

bool prime_num( int num)
{
bool isPrime=true;

int checkNum = 1;
for(int i = 1; i <=num; i++)
checkNum *= 2;
checkNum +=1;

for ( int i = 0; i <= checkNum; i++)
{
for ( int j = 2; j <= checkNum; j++)
{
if ( i!=j && i % j == 0 )
{
isPrime=false;
break;
}
}
if (isPrime)
{
cout <<"Prime:"<< i << endl;
}
isPrime=true;
}
return isPrime;
}

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