want to know the complexity of my program ,new way to find prime numbers

[ujjawaltaleja]

//simply we are going to use the approach that the numbers that are divisble by prime numbers are not prime and the others are prime.
#include<stdio.h>
#include<math.h>
int main()
{
int n,i,arr[100000],size=0,j,temp; // array is for storing prime numbers
scanf("%d",&n); // we will be finding prime numbers between 2 to n (both inclusive)
arr[0]=2; // we know that 2 is a prime number
size++; // we got 1 prime number so size of array gets incremented
for(i=3;i<=n;i++)
{
temp=pow(i,0.5); //square root of the number (for which we are going to check is it prime or not)
for(j=0;arr[j]<=temp;j++){
if(i%arr[j]==0)
break;
}
if(arr[j]>temp)
{
arr[size]=i;
size++;
}
}
for(i=0;i<size;i++)
printf("%d \n",arr[i]);
return 0;
}

[weaknessforcats]

I don't think your algorithm works.

Prime numbers are numbers that are the product of themselves and 1. Saying it another way, the only factors of a prime number are the prime number itself and 1. Nothing about division, square roots, etc.

The code says:

//simply we are going to use the approach that the numbers that are divisble by prime numbers are not prime and the others are prime.

All numbers are divisible by prime numbers since all numbers are divisible by 1. All even numbers are divisible by 2.

You have to write a loop that tests a given number to be prime. It would divide the number by all numbers from 2 to the number itself. The number is prime if the only non-zero quotient is 1 by using the number itself.

[donbock]

I suggest you look at The Sieve of Erasthones. It is a method for accomplishing your goal that doesn't require any division.