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<span class="kw">reconsider </span><font color="Maroon" title="c1">p</font> = 5 as   <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="pepin.html#T59" onmouseover="rs('pepin/T59')" onmouseout="rh()">PEPIN:59</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c2">sgp</font> = 2 as   <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="int_2.html#T28" onmouseover="rs('int_2/T28')" onmouseout="rh()">INT_2:28</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c1">p</font>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">p</font> is  <a href="gr_cy_3.html#V1" title="GR_CY_3:attr.1">Safe</a> </span><br/>

<a NAME="E3:3_1_1"/>
<font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2 <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c2">sgp</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1
 
;<br/>
<span class="kw">hence </span><a NAME="E4:3_1_1"/>
<font color="Maroon" title="c1">p</font> is  <a href="gr_cy_3.html#V1" title="GR_CY_3:attr.1">Safe</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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