From dbf11feb1778b924007a8201e58b157a9378e6e6 Mon Sep 17 00:00:00 2001
From: erich-friedman <erichfriedman68@gmail.com>
Date: Thu, 14 Mar 2024 06:29:47 -0400
Subject: [PATCH] mm

---
 .DS_Store           | Bin 51204 -> 51204 bytes
 mathmagic/0804.html |   4 ++--
 random/.DS_Store    | Bin 18436 -> 18436 bytes
 3 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/.DS_Store b/.DS_Store
index d7fa21c74a63fa1c30f4e37acf8cec7b14e693e6..c0050a538f7efc5122dcef69a21623568a6bc672 100644
GIT binary patch
delta 846
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delta 669
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diff --git a/mathmagic/0804.html b/mathmagic/0804.html
index 13694b939..f75de3a79 100644
--- a/mathmagic/0804.html
+++ b/mathmagic/0804.html
@@ -6,7 +6,7 @@
 
 
<P><hr><p><center><h1>ANSWERS</h1></center>
 
-Richard Sabey, Joseph DeVincentis, Jeremy Galvagni, Bill Clagett, Bertrand Winter, Berend Jan van der Zwaag, Ambrus Zsb&aacute;n, Gerrit de Blaauw, and Maksymilian Piskorowski sent answers this month, with Richard Sabey and Gerrit de Blaauw furnishing the vast majority of results.<p>
+Richard Sabey, Joseph DeVincentis, Jeremy Galvagni, Bill Clagett, Bertrand Winter, Berend Jan van der Zwaag, Ambrus Zsb&aacute;n, Gerrit de Blaauw, Maksymilian Piskorowski and Daniel Bamberger sent answers, with Richard Sabey and Gerrit de Blaauw furnishing the vast majority of results.<p>
 
 
 <center><font size=+2>Approximations of &gamma; using 1&ndash;n</font></center>
@@ -32,7 +32,7 @@
 <tr align=center><th bgcolor=CCFFCC>6<td>((.4+6<sup>.2</sup>)&times;5&ndash;1)/3 <td>2.71828180<td>&ndash;2.66E&ndash;8<td>BC
 <tr align=center><th bgcolor=CCFFCC>7<td>2<sup>((.3+.1)<sup>&ndash;.4</sup>&ndash;5<sup>&ndash;7.6</sup>)</sup> <td>2.718281812<td>&ndash;1.57E&ndash;8<td>RS
 <tr align=center><th bgcolor=CCFFCC>8<td>(1+2<sup>&ndash;76</sup>)<sup>(4<sup>38</sup>+.5)</sup> <td>2.718281828<td>3.96E&ndash;47<td>RS
-<tr align=center><th bgcolor=CCFFCC>9<td>(1+9<SUP>&ndash;4<SUP>7&times;6</SUP></SUP>)<SUP>3<SUP>2<SUP>85</SUP></SUP></SUP> <td>2.718281828<td>&ndash;2.01E&ndash;18457734525360901453873570<td>RS
+<tr align=center><th bgcolor=CCFFCC>9<td>(1+.2<SUP>9<SUP>7&times;6</SUP></SUP>)<SUP>5<SUP>3<SUP>84</SUP></SUP></SUP> <td>2.718281828<td>8368428989068425943817590916445001887164 correct digits!<td>DB
 </table></center><p>
 
 <center><font size=+2>Approximations of &pi; using 1&ndash;n</font></center>
diff --git a/random/.DS_Store b/random/.DS_Store
index d36de4479bf393d39bfa7db46616cb4285fc3e65..33c7a316c8867704aa80ed2005f8a5c5b6771313 100644
GIT binary patch
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