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<div class="subTitle">org.apache.commons.math3.primes</div>
<h2 title="Class Primes" class="title">Class Primes</h2>
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<pre>public class <span class="strong">Primes</span>
extends <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
<div class="block">Methods related to prime numbers in the range of <code>int</code>:
<ul>
<li>primality test</li>
<li>prime number generation</li>
<li>factorization</li>
</ul></div>
<dl><dt><span class="strong">Since:</span></dt>
<dd>3.2</dd>
<dt><span class="strong">Version:</span></dt>
<dd>$Id: Primes.java 1538368 2013-11-03 13:57:37Z erans $</dd></dl>
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<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/primes/Primes.html#isPrime(int)">isPrime</a></strong>(int&nbsp;n)</code>
<div class="block">Primality test: tells if the argument is a (provable) prime or not.</div>
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<td class="colFirst"><code>static int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/primes/Primes.html#nextPrime(int)">nextPrime</a></strong>(int&nbsp;n)</code>
<div class="block">Return the smallest prime greater than or equal to n.</div>
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<td class="colFirst"><code>static <a href="http://docs.oracle.com/javase/6/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a>&lt;<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Integer.html?is-external=true" title="class or interface in java.lang">Integer</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/primes/Primes.html#primeFactors(int)">primeFactors</a></strong>(int&nbsp;n)</code>
<div class="block">Prime factors decomposition</div>
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<h4>isPrime</h4>
<pre>public static&nbsp;boolean&nbsp;isPrime(int&nbsp;n)</pre>
<div class="block">Primality test: tells if the argument is a (provable) prime or not.
<p>
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).</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>n</code> - number to test.</dd>
<dt><span class="strong">Returns:</span></dt><dd>true if n is prime. (All numbers &lt; 2 return false).</dd></dl>
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<h4>nextPrime</h4>
<pre>public static&nbsp;int&nbsp;nextPrime(int&nbsp;n)</pre>
<div class="block">Return the smallest prime greater than or equal to n.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>n</code> - a positive number.</dd>
<dt><span class="strong">Returns:</span></dt><dd>the smallest prime greater than or equal to n.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if n &lt; 0.</dd></dl>
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<h4>primeFactors</h4>
<pre>public static&nbsp;<a href="http://docs.oracle.com/javase/6/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a>&lt;<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Integer.html?is-external=true" title="class or interface in java.lang">Integer</a>&gt;&nbsp;primeFactors(int&nbsp;n)</pre>
<div class="block">Prime factors decomposition</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>n</code> - number to factorize: must be &ge; 2</dd>
<dt><span class="strong">Returns:</span></dt><dd>list of prime factors of n</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if n &lt; 2.</dd></dl>
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