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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E56">Th58</font></span>: <a NAME="T58"><span class="comment"><font color="firebrick">:: PEPIN:58</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st 3 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pepin.html#K4" title="PEPIN:func.4">Fermat</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span> <a href="nat_d.html#K3" title="NAT_D:func.3">div</a> 2</span>)</span>, <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1 <a href="int_1.html#R2" title="INT_1:pred.2">are_congruent_mod</a>  <a href="pepin.html#K4" title="PEPIN:func.4">Fermat</a> <font color="Olive" title="b1">n</font> holds <br/> <a href="pepin.html#K4" title="PEPIN:func.4">Fermat</a> <font color="Olive" title="b1">n</font> is  <a href="int_2.html#V1" title="INT_2:attr.1">prime</a> </div></div>
