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"
```
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
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::
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 ```