ImtiazGermain

ImtiazGermain is a library intended for number theory, implementing an edited version of Germain primes, which got published in the book A Young Mathematician. Here is a algorithm for ImtiazGermain primes:

``` Input number n --> Calculate p = (n - 1) / 2 --> Check if n, p, and 2p + 1 are prime ------------------> | | | | No | | | | | V | Output "n is not an Imtiaz Germain prime" <----- Stop | | | Yes | | | V | Calculate m = 2p + 1 --> Check if m is composite --> Calculate q = 2m + 1 --> Check if q is prime -No-->| | | |
| No Yes
| | |
| V V
Output "n is not an Imtiaz Germain prime" <----- Stop Output "n is an Imtiaz Germain prime"

```

Features

Installation

To use ImtiazGermain in your Rust project, add the following to your Cargo.toml file:

toml [dependencies] ImtiazGermain = "0.1.1"

Alternatively, you can go on python as:

pip install imtiazgermain

Usage

To use ImtiazGermain in your Rust code, import the necessary modules:

rust use ImtiazGermain::primecheck::{isgermainprime, isimtiazgermainprime};

Then, call the desired encryption or utility function. For example, to encrypt a message using the Caesar cipher:

```rust use std::io; use ImtiazGermain::primecheck::{isgermainprime, isimtiazgermainprime};

fn main() { println!("Enter a number:"); let mut input = String::new(); io::stdin().read_line(&mut input).unwrap(); let n = input.trim().parse::().unwrap();

if primecheck::isimtiazgermainprime(n) {
    println!("{} is an Imtiaz Germain prime", n);
} else {
    println!("{} is not an Imtiaz Germain prime", n);
}

} ```

You can use python as follows: ```python import ImtiazGermain.primecheck as pm

pc = pm.primecheck() print(pc.isgermainprime(2)) # True print(pc.isimtiazgermainprime(3)) # True print(pc.isgermainprime(5)) #True print(pc.isgermainprime(7)) # True ```