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C Exercises: Generate mersenne primes within a range of numbers

C Numbers: Exercise-33 with Solution

Write a program in C to generate mersenne primes within a range of numbers.

Test Data
Input a upper limit [range from 1 to upper limit]: 1000

Sample Solution:

C Code:

# include <stdio.h>
# include <stdlib.h>
# include <stdbool.h>
# include <math.h>


void GenAllPrim(int n1, bool prarr1[])
{
    for (int i=0; i<=n1; i++)
        prarr1[i] = true;
 
    for (int p=2; p*p<=n1; p++)
    {
        if (prarr1[p] == true)
        {
            for (int i=p*2; i<=n1; i += p)
                prarr1[i] = false;
        }
    }
}
void chkMerPrime(int nm)
{
    bool prarr1[nm+1];
    GenAllPrim(nm,prarr1);
    for (int j=2; ((1<<j)-1) <= nm; j++)
    {
        long long num = (1<<j) - 1;
        if (prarr1[num])
            printf(" %lli ",num);
    }
}
int main()
{
    int n ;
	printf("\n\n Generate Mersenne primes within a range of numbers:\n");
	printf("--------------------------------------------------------\n");
	printf(" Input a upper limit [range from 1 to upper limit]: ");
    scanf("%d",&n);	
    printf(" Mersenne prime numbers are: \n");
    chkMerPrime(n);
    printf("\n\n");
}

Sample Output:

 Input a upper limit [range from 1 to upper limit]: 1000                                                      
 Mersenne prime numbers are:                                                                                  
 3  7  31  127 

Pictorial Presentation:

C programming: Generate mersenne primes within a range of numbers.

Flowchart:

Flowchart: Generate mersenne primes within a range of numbers

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C Programming: Tips of the Day

Static variable inside of a function in C

The scope of variable is where the variable name can be seen. Here, x is visible only inside function foo().

The lifetime of a variable is the period over which it exists. If x were defined without the keyword static, the lifetime would be from the entry into foo() to the return from foo(); so it would be re-initialized to 5 on every call.

The keyword static acts to extend the lifetime of a variable to the lifetime of the programme; e.g. initialization occurs once and once only and then the variable retains its value - whatever it has come to be - over all future calls to foo().

Ref : https://bit.ly/3fOq7XP