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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
48 changed files with 1134 additions and 2394 deletions
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ipython/html/EulerProblem030.html
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<title>EulerProblem030</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-30">Euler Problem 30<a class="anchor-link" href="#Euler-Problem-30">&#182;</a></h1><p>Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:</p>
<h1 id="Euler-Problem-30">Euler Problem 30<a class="anchor-link" href="#Euler-Problem-30"></a></h1><p><a href="/euler">Back to overview.</a></p><p>Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:</p>
<p>$1634 = 1^4 + 6^4 + 3^4 + 4^4$</p>
<p>$8208 = 8^4 + 2^4 + 0^4 + 8^4$</p>
<p>$9474 = 9^4 + 4^4 + 7^4 + 4^4$</p>
<p>As $1 = 1^4$ is not a sum it is not included.</p>
<p>The sum of these numbers is $1634 + 8208 + 9474 = 19316$.</p>
<p>Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.</p>
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<p>This is an eays brute force. We look up the fifth powers.</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="n">fifth_power_lookup</span> <span class="o">=</span> <span class="p">{</span><span class="nb">str</span><span class="p">(</span><span class="n">i</span><span class="p">):</span> <span class="n">i</span><span class="o">**</span><span class="mi">5</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">10</span><span class="p">)}</span>
<span class="k">def</span> <span class="nf">is_number_sum_of_fiths_powers_of_digits</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
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<span class="k">assert</span><span class="p">(</span><span class="n">s</span> <span class="o">==</span> <span class="mi">443839</span><span class="p">)</span>
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<pre>443839
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