large-primes 0.3.0

Package for Large Prime Number Analysis
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93

# Prime Analysis Tool


Prime Analysis Tool is a versatile command-line utility written in Rust, designed to perform various mathematical operations and analyses on prime numbers and large integers. This tool offers a range of functionalities, including standard prime checks, advanced primality tests, number generation, exponentiation, and the Lucas-Lehmer test for Mersenne primes.

## Features


- **Standard**: Check if a number is prime using basic methods.
- **Fermat**: Perform the Fermat primality test.
- **Miller-Rabin**: Execute the Miller-Rabin primality test.
- **Generate**: Generate prime numbers up to a specified maximum.
- **Power**: Raise a number to a specified power.
- **Lucas-Lehmer**: Conduct the Lucas-Lehmer test for Mersenne primes.

## Installation


To install Prime Analysis Tool, ensure you have Rust and Cargo installed on your system. Follow these steps:

1. Clone the repository:
   ```
   git clone https://github.com/shashankp28/primes.git
   ```
2. Navigate to the project directory:
   ```
   cd primes
   ```
3. Build the project:
   ```
   cargo build --release
   ```

## Usage


To use Prime Analysis Tool, run the compiled binary with the required arguments. The general syntax is:

```
<exe> [OPTIONS] --action <ACTION> [--target <TARGET>] [--power <POWER>] [--maximum <MAXIMUM>] [--mersenne_exp <MERSENNE_EXP>]
```

### Options


- `-a`, `--action <ACTION>`: Specify the action to perform. Actions include `standard`, `fermat`, `miller-rabin`, `generate`, `power`, and `lucas-lehmer`.
- `-t`, `--target <TARGET>`: The target number for prime checks or exponentiation.
- `-p`, `--power <POWER>`: The power to raise the target number to (used with `power` action).
- `-m`, `--maximum <MAXIMUM>`: Specify the upper limit for prime number generation (used with `generate` action).
- `--mersenne-exp <MERSENNE_EXP>`: The exponent for the Mersenne prime in the Lucas-Lehmer test.

### Examples


- Get Help:

  ```
  ./target/release/primes --help
  ```

- Check if a number is a prime:
  ```
  ./target/release/primes --action standard --target 17
  ```
- Perform the Miller-Rabin primality test:
  ```
  ./target/release/primes --action miller-rabin --target 19
  ```
- Generate primes up to 100:
  ```
  ./target/release/primes --action generate --maximum 100
  ```
- Raise a number to a power:
  ```
  ./target/release/primes --action power --target 2 --power 10
  ```
- Perform the Lucas-Lehmer test:
  ```
  ./target/release/primes --action lucas-lehmer --mersenne-exp 13
  ```

## Contributing


Contributions to the Prime Analysis Tool are welcome! Feel free to submit issues or pull requests on GitHub.

## License


Prime Analysis Tool is distributed under the [MIT License](LICENSE).

## Author


[Shashank P](https://github.com/shashankp28)

## Crates.io


Rust crates.io [link](https://crates.io/crates/large-primes)
---

Disclaimer: Prime Analysis Tool is a project under active development. Features and functionalities are subject to change.