Primes (Apache Commons Numbers Primes 1.2 API)

java.lang.Object
- org.apache.commons.numbers.primes.Primes

```
public final class Primes
extends Object
```
Methods related to prime numbers in the range of int.
- primality test
- prime number generation
- factorization

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method	Description
`static boolean`	`isPrime(int n)`	Primality test: tells if the argument is a (provable) prime or not.
`static int`	`nextPrime(int n)`	Return the smallest prime greater than or equal to n.
`static List<Integer>`	`primeFactors(int n)`	Prime factors decomposition.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Method Detail
  - isPrime
```
public static boolean isPrime(int n)
```
    Primality test: tells if the argument is a (provable) prime or not.
    It uses the Miller-Rabin probabilistic test in such a way that a result is guaranteed: it uses the firsts prime numbers as successive base (see Handbook of applied cryptography by Menezes, table 4.1).
    
    Parameters:
    
    n - Number to test.
    
    Returns:
    
    true if n is prime. All numbers < 2 return false.
  - nextPrime
```
public static int nextPrime(int n)
```
    Return the smallest prime greater than or equal to n.
    
    Parameters:
    
    n - Positive number.
    
    Returns:
    
    the smallest prime greater than or equal to n.
    
    Throws:
    
    IllegalArgumentException - if n < 0.
  - primeFactors
```
public static List<Integer> primeFactors(int n)
```
    Prime factors decomposition.
    
    Parameters:
    
    n - Number to factorize: must be ≥ 2.
    
    Returns:
    
    the list of prime factors of n.
    
    Throws:
    
    IllegalArgumentException - if n < 2.