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Euler has design of a homepage and there is a link back to the overview for each solution.

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Felix Martin
2018-06-14 20:11:26 -04:00
parent 894160d1a0
commit c34ebd6181
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ipython/html/EulerProblem007.html
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<title>EulerProblem007</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
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<h1 id="Euler-Problem-7">Euler Problem 7<a class="anchor-link" href="#Euler-Problem-7">&#182;</a></h1><p>By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.</p>
<h1 id="Euler-Problem-7">Euler Problem 7<a class="anchor-link" href="#Euler-Problem-7"></a></h1><p><a href="/euler">Back to overview.</a></p><p>By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.</p>
<p>What is the 10 001st prime number?</p>
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<p>We reuse our prime functions and use a trick from <a href="https://stackoverflow.com/questions/2300756/get-the-nth-item-of-a-generator-in-python">stackoverflow</a> to get the nth element.</p>
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<div class="prompt input_prompt">In&nbsp;[7]:</div>
<div class="prompt input_prompt">In [7]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">itertools</span>
<span class="k">def</span> <span class="nf">is_prime</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">smaller_primes</span><span class="p">):</span>
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<span class="k">assert</span><span class="p">(</span><span class="n">get_nth_prime</span><span class="p">(</span><span class="mi">6</span><span class="p">)</span> <span class="o">==</span> <span class="mi">13</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">get_nth_prime</span><span class="p">(</span><span class="mi">10001</span><span class="p">))</span>
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<pre>104743
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