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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="List of all items in this crate"><title>List of all items in this crate</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../static.files/rustdoc-9bb858ba049f1f21.css" id="mainThemeStyle"><meta name="rustdoc-vars" data-root-path="../" data-static-root-path="../static.files/" data-current-crate="ladderz" data-themes="" data-resource-suffix="" data-rustdoc-version="1.72.1 (d5c2e9c34 2023-09-13)" data-channel="1.72.1" data-search-js="search-f6292fe389d70017.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-8c76f75bfb6bd192.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ><script src="../static.files/storage-59fd9b8ccb335783.js"></script><script defer src="../static.files/main-0795b7d26be81095.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../static.files/favicon-2c020d218678b618.svg"></head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../ladderz/index.html"><img class="rust-logo" src="../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../ladderz/index.html"><img class="rust-logo" src="../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Crate ladderz</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#functions">Functions</a></li></ul></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><h1>List of all items</h1><h3 id="functions">Functions</h3><ul class="all-items"><li><a href="pre_algebra/fn.get_factor_pairs.html">pre_algebra::get_factor_pairs</a></li><li><a href="pre_algebra/fn.get_factors.html">pre_algebra::get_factors</a></li><li><a href="pre_algebra/fn.get_multiples_in_range.html">pre_algebra::get_multiples_in_range</a></li><li><a href="pre_algebra/fn.is_factor.html">pre_algebra::is_factor</a></li><li><a href="pre_algebra/fn.is_multiple.html">pre_algebra::is_multiple</a></li></ul></section></div></main></body></html>
<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="List of all items in this crate"><title>List of all items in this crate</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../static.files/rustdoc-9bb858ba049f1f21.css" id="mainThemeStyle"><meta name="rustdoc-vars" data-root-path="../" data-static-root-path="../static.files/" data-current-crate="ladderz" data-themes="" data-resource-suffix="" data-rustdoc-version="1.72.1 (d5c2e9c34 2023-09-13)" data-channel="1.72.1" data-search-js="search-f6292fe389d70017.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-8c76f75bfb6bd192.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ><script src="../static.files/storage-59fd9b8ccb335783.js"></script><script defer src="../static.files/main-0795b7d26be81095.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../static.files/favicon-2c020d218678b618.svg"></head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../ladderz/index.html"><img class="rust-logo" src="../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../ladderz/index.html"><img class="rust-logo" src="../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Crate ladderz</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#functions">Functions</a></li></ul></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><h1>List of all items</h1><h3 id="functions">Functions</h3><ul class="all-items"><li><a href="pre_algebra/fn.get_factor_pairs.html">pre_algebra::get_factor_pairs</a></li><li><a href="pre_algebra/fn.get_factors.html">pre_algebra::get_factors</a></li><li><a href="pre_algebra/fn.get_multiples_in_range.html">pre_algebra::get_multiples_in_range</a></li><li><a href="pre_algebra/fn.is_factor.html">pre_algebra::is_factor</a></li><li><a href="pre_algebra/fn.is_multiple.html">pre_algebra::is_multiple</a></li><li><a href="pre_algebra/fn.is_prime.html">pre_algebra::is_prime</a></li></ul></section></div></main></body></html>

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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Checks if a positive integer `n` is a prime number."><title>is_prime in ladderz::pre_algebra - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-9bb858ba049f1f21.css" id="mainThemeStyle"><meta name="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="ladderz" data-themes="" data-resource-suffix="" data-rustdoc-version="1.72.1 (d5c2e9c34 2023-09-13)" data-channel="1.72.1" data-search-js="search-f6292fe389d70017.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-8c76f75bfb6bd192.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ><script src="../../static.files/storage-59fd9b8ccb335783.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-0795b7d26be81095.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"></head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../ladderz/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../ladderz/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In ladderz::pre_algebra</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../index.html">ladderz</a>::<wbr><a href="index.html">pre_algebra</a>::<wbr><a class="fn" href="#">is_prime</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../src/ladderz/pre_algebra/unit1.rs.html#159-169">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn is_prime(n: <a class="primitive" href="https://doc.rust-lang.org/1.72.1/std/primitive.u32.html">u32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/1.72.1/std/primitive.bool.html">bool</a></code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Checks if a positive integer <code>n</code> is a prime number.</p>
<p>A prime number is a positive integer greater than 1 that cannot
be evenly divisible by any positive integers other than 1 and itself.</p>
<h2 id="examples"><a href="#examples">Examples</a></h2>
<div class="example-wrap"><pre class="rust rust-example-rendered"><code><span class="kw">use </span>ladderz::pre_algebra::is_prime;
<span class="macro">assert!</span>(!is_prime(<span class="number">1</span>)); <span class="comment">// 1 is not a prime number
</span><span class="macro">assert!</span>(is_prime(<span class="number">2</span>)); <span class="comment">// 2 is a prime number
</span><span class="macro">assert!</span>(!is_prime(<span class="number">4</span>)); <span class="comment">// 4 is not a prime number
</span><span class="macro">assert!</span>(is_prime(<span class="number">7</span>)); <span class="comment">// 7 is a prime number</span></code></pre></div>
<h2 id="note"><a href="#note">Note</a></h2>
<p>This function returns <code>false</code> for values of <code>n</code> less than 2 because, by definition, prime
numbers must be greater than 1.</p>
</div></details></section></div></main></body></html>

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<span class="kw">let </span>x: u32 = <span class="number">10</span>;
<span class="macro">println!</span>(<span class="string">&quot;The factors of {x} are {:?}.&quot;</span>, get_factors(x));</code></pre></div>
<div class="example-wrap"><pre class="language-console"><code>The factors of 10 are {1, 5, 2, 10}.
</code></pre></div></div></details><h2 id="functions" class="small-section-header"><a href="#functions">Functions</a></h2><ul class="item-table"><li><div class="item-name"><a class="fn" href="fn.get_factor_pairs.html" title="fn ladderz::pre_algebra::get_factor_pairs">get_factor_pairs</a></div><div class="desc docblock-short">Finds all factor pairs for a positive integer <code>n</code>.</div></li><li><div class="item-name"><a class="fn" href="fn.get_factors.html" title="fn ladderz::pre_algebra::get_factors">get_factors</a></div><div class="desc docblock-short">Finds all factors of a positive integer <code>n</code>.</div></li><li><div class="item-name"><a class="fn" href="fn.get_multiples_in_range.html" title="fn ladderz::pre_algebra::get_multiples_in_range">get_multiples_in_range</a></div><div class="desc docblock-short">Finds all the multiples of a positive integer <code>n</code> up to and including <code>end</code> (in the range [n, end]).</div></li><li><div class="item-name"><a class="fn" href="fn.is_factor.html" title="fn ladderz::pre_algebra::is_factor">is_factor</a></div><div class="desc docblock-short">Checks if a positive integer <code>x</code> is a factor of another positive integer <code>y</code>.</div></li><li><div class="item-name"><a class="fn" href="fn.is_multiple.html" title="fn ladderz::pre_algebra::is_multiple">is_multiple</a></div><div class="desc docblock-short">Checks if a positive integer <code>x</code> is a multiple of another positive integer <code>y</code>.</div></li></ul></section></div></main></body></html>
</code></pre></div></div></details><h2 id="functions" class="small-section-header"><a href="#functions">Functions</a></h2><ul class="item-table"><li><div class="item-name"><a class="fn" href="fn.get_factor_pairs.html" title="fn ladderz::pre_algebra::get_factor_pairs">get_factor_pairs</a></div><div class="desc docblock-short">Finds all factor pairs for a positive integer <code>n</code>.</div></li><li><div class="item-name"><a class="fn" href="fn.get_factors.html" title="fn ladderz::pre_algebra::get_factors">get_factors</a></div><div class="desc docblock-short">Finds all factors of a positive integer <code>n</code>.</div></li><li><div class="item-name"><a class="fn" href="fn.get_multiples_in_range.html" title="fn ladderz::pre_algebra::get_multiples_in_range">get_multiples_in_range</a></div><div class="desc docblock-short">Finds all the multiples of a positive integer <code>n</code> up to and including <code>end</code> (in the range [n, end]).</div></li><li><div class="item-name"><a class="fn" href="fn.is_factor.html" title="fn ladderz::pre_algebra::is_factor">is_factor</a></div><div class="desc docblock-short">Checks if a positive integer <code>x</code> is a factor of another positive integer <code>y</code>.</div></li><li><div class="item-name"><a class="fn" href="fn.is_multiple.html" title="fn ladderz::pre_algebra::is_multiple">is_multiple</a></div><div class="desc docblock-short">Checks if a positive integer <code>x</code> is a multiple of another positive integer <code>y</code>.</div></li><li><div class="item-name"><a class="fn" href="fn.is_prime.html" title="fn ladderz::pre_algebra::is_prime">is_prime</a></div><div class="desc docblock-short">Checks if a positive integer <code>n</code> is a prime number.</div></li></ul></section></div></main></body></html>

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</pre></div><pre class="rust"><code><span class="kw">use </span>std::collections::HashSet;
<span class="doccomment">/// Finds all factor pairs for a positive integer `n`.
@ -338,6 +370,38 @@
multiples
}
<span class="doccomment">/// Checks if a positive integer `n` is a prime number.
///
/// A prime number is a positive integer greater than 1 that cannot
/// be evenly divisible by any positive integers other than 1 and itself.
///
/// # Examples
///
/// ```rust
/// use ladderz::pre_algebra::is_prime;
///
/// assert!(!is_prime(1)); // 1 is not a prime number
/// assert!(is_prime(2)); // 2 is a prime number
/// assert!(!is_prime(4)); // 4 is not a prime number
/// assert!(is_prime(7)); // 7 is a prime number
/// ```
///
/// # Note
///
/// This function returns `false` for values of `n` less than 2 because, by definition, prime
/// numbers must be greater than 1.
</span><span class="kw">pub fn </span>is_prime(n: u32) -&gt; bool {
<span class="kw">if </span>n == <span class="number">1 </span>{
<span class="kw">return </span><span class="bool-val">false</span>;
};
<span class="kw">for </span>num <span class="kw">in </span><span class="number">2</span>..n {
<span class="kw">if </span>n % num == <span class="number">0 </span>{
<span class="kw">return </span><span class="bool-val">false</span>;
}
}
<span class="bool-val">true
</span>}
<span class="attr">#[cfg(test)]
</span><span class="kw">mod </span>tests {
<span class="kw">use super</span>::<span class="kw-2">*</span>;