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<a NAME="E1:104"/><span class="lab"><font color="Green" title="E86">A1</font></span>: 
64 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 64 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 256</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default">256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 16</span>)</span>
 
;<br/>
<span class="p1">(<span class="default">3 <a href="newton.html#K15" title="NEWTON:func.15">|^</a> <span class="p2">(<span class="default">256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 16</span>)</span></span>)</span> <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> <span class="p1">(<span class="default">3 <a href="newton.html#K15" title="NEWTON:func.15">|^</a> <span class="p2">(<span class="default">256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 16</span>)</span></span>)</span> = 
3 <a href="newton.html#K15" title="NEWTON:func.15">|^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 16</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p2">(<span class="default">256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 16</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="newton.html#T8" title="NEWTON:th.8">NEWTON:8</a></span>
<br/>.= 
3 <a href="newton.html#K15" title="NEWTON:func.15">|^</a> 8192

;<br/>
<span class="kw">then </span><span class="p1">(<span class="default">3 <a href="newton.html#K15" title="NEWTON:func.15">|^</a> <span class="p2">(<span class="default">256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 32</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> <span class="p1">(<span class="default"><a href="pepin.html#K5" title="PEPIN:func.5">Fermat</a> 4</span>)</span> = 
<span class="p1">(<span class="default">64 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 64</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> <span class="p1">(<span class="default"><a href="pepin.html#K5" title="PEPIN:func.5">Fermat</a> 4</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="pepin.html#E105"><span class="lab"><font color="Green" title="E84">Lm44</font></span></a>, <a class="ref" href="euler_2.html#T9" title="EULER_2:th.9">EULER_2:9</a></span>
<br/>.= 
256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 16
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:104"><span class="lab"><font color="Green" title="E86">A1</font></span></a>, <a class="ref" href="pepin.html#T54" target="_self" title="PEPIN:th.54">Th59</a>, <a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E4:104"/>
<span class="p1">(<span class="default">3 <a href="newton.html#K15" title="NEWTON:func.15">|^</a> <span class="p2">(<span class="default">256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 32</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> <span class="p1">(<span class="default"><a href="pepin.html#K5" title="PEPIN:func.5">Fermat</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 256 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 16
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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