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<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>The Irrationality Measure of Pi is at most 7.103205334137... · HackerPapers discussions</title><link>https://hackerpaper.kaipfister.de/p/1912.06345/</link><description>Collected HN comments and submissions linking this paper.</description><language>en</language><lastBuildDate>Mon, 02 Nov 2026 11:16:22 GMT</lastBuildDate><atom:link href="https://hackerpaper.kaipfister.de/p/1912.06345/feed.xml" rel="self" type="application/rss+xml" /><item><title>The Irrationality Measure of Pi is at most 7.103205334137... — mentioned by madars</title><link>https://news.ycombinator.com/item?id=31711383</link><guid isPermaLink="false">urn:hackerpapers:mention:1912.06345:31711383</guid><pubDate>Sun, 12 Jun 2022 04:17:23 GMT</pubDate><description>&lt;p&gt;Fun fact: Mahler famously showed that if p/q is a rational number then |\pi - p/q| &amp;gt; 1/q^42. So we can&amp;#x27;t have a string of 4242T zeros after first 101T digits :-) The exponent 42 has since been improved by a series of works to 7.1032 - https://arxiv.org/abs/1912.06345&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/1912.06345/"&gt;Paper and discussion history&lt;/a&gt;. A mention is not an endorsement.&lt;/p&gt;</description><category>math.NT</category></item></channel></rss>
