https://jaalonso.github.io/calculemus/enContents © 2026 <a href="mailto:">José A. Alonso</a> <a rel="license" href="https://creativecommons.org/licenses/by-nc-sa/4.0/"> <img alt="Creative Commons License BY-NC-SA" style="border-width:0; margin-bottom:12px;" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png"></a>Sun, 18 Oct 2026 17:46:59 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://jaalonso.github.io/calculemus/en/posts/2026/05/31-infinitud_de_primos_v2/José A. Alonso<div><p>Prove that there are infinitely many prime numbers.</p> <p>To do so, complete the following Lean 4 theory:</p> <div class="code"><pre class="code literal-block"><span class="kn">import</span><span class="w"> </span><span class="n">Mathlib.Tactic</span> <span class="kn">import</span><span class="w"> </span><span class="n">Mathlib.Data.Nat.Prime.Defs</span> <span class="kn">open</span><span class="w"> </span><span class="n">Nat</span> <span class="kd">example</span><span class="w"> </span><span class="o">(</span><span class="n">n</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">ℕ</span><span class="o">)</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="bp">∃</span><span class="w"> </span><span class="n">p</span><span class="o">,</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="bp">≤</span><span class="w"> </span><span class="n">p</span><span class="w"> </span><span class="bp">∧</span><span class="w"> </span><span class="n">Nat.Prime</span><span class="w"> </span><span class="n">p</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="kd">by</span> <span class="w"> </span><span class="gr">sorry</span> </pre></div> <hr> <p><a href="https://jaalonso.github.io/calculemus/en/posts/2026/05/31-infinitud_de_primos_v2/">Read more…</a> (2 min remaining to read)</p></div>Lean4Lean4ChallengeNumber theoryPrimeshttps://jaalonso.github.io/calculemus/en/posts/2026/05/31-infinitud_de_primos_v2/Sun, 31 May 2026 04:00:00 GMT