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<a NAME="E1:105"/><i><font color="Green">E44</font></i>: 
<span class="p1">(<span class="default">52 <a href="nat_1.html#K2">*</a> 289</span>)</span> <a href="nat_1.html#K2">*</a> <span class="p1">(<span class="default">52 <a href="nat_1.html#K2">*</a> 289</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">3446 <a href="nat_1.html#K2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">256 <a href="nat_1.html#K2">*</a> 256</span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 282
 
;<br/>
<span class="p1">(<span class="default">3 <a href="wsierp_1.html#K2">|^</a> 256</span>)</span> <a href="nat_1.html#K6">mod</a> <span class="p1">(<span class="default"><a href="pepin.html#K5" target="_self">Fermat</a> 4</span>)</span> = 
<span class="p1">(<span class="default">3 <a href="wsierp_1.html#K2">|^</a> <span class="p2">(<span class="default">128 <a href="nat_1.html#K1">+</a> 128</span>)</span></span>)</span> <a href="nat_1.html#K6">mod</a> <span class="p1">(<span class="default"><a href="pepin.html#K5" target="_self">Fermat</a> 4</span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">3 <a href="wsierp_1.html#K2">|^</a> 128</span>)</span> <a href="nat_1.html#K2">*</a> <span class="p2">(<span class="default">3 <a href="wsierp_1.html#K2">|^</a> 128</span>)</span></span>)</span> <a href="nat_1.html#K6">mod</a> <span class="p1">(<span class="default"><a href="pepin.html#K5" target="_self">Fermat</a> 4</span>)</span>
<b>by </b><i><a class="ref" href="newton.html#T13">NEWTON:13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">52 <a href="nat_1.html#K2">*</a> 289</span>)</span> <a href="nat_1.html#K2">*</a> <span class="p2">(<span class="default">52 <a href="nat_1.html#K2">*</a> 289</span>)</span></span>)</span> <a href="nat_1.html#K6">mod</a> <span class="p1">(<span class="default"><a href="pepin.html#K5" target="_self">Fermat</a> 4</span>)</span>
<b>by </b><i><a class="ref" href="pepin.html#T26" target="_self">Th26</a>, <a class="ref" href="euler_2.html#T11">EULER_2:11</a></i>
<br/>.= 
282
<b>by </b><i><a class="ref" href="pepin.html#T27" target="_self">Th27</a>, <a class="txt" href="pepin.html#E5"><i><font color="Green">Lemma56</font></i></a>, <a class="ref" href="nat_1.html#D2">NAT_1:def 2</a></i>
;<br/>
<b>hence </b><a NAME="E3:105"/>
<span class="p1">(<span class="default">3 <a href="wsierp_1.html#K2">|^</a> 256</span>)</span> <a href="nat_1.html#K6">mod</a> <span class="p1">(<span class="default"><a href="pepin.html#K5" target="_self">Fermat</a> 4</span>)</span> <a href="hidden.html#R1">=</a> 282
 ;<br/>


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