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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: NUMBER10:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  holds  <a href="number10.html#K2" title="NUMBER10:func.2">LP&lt;=6n+1</a> <font color="Olive" title="b1">n</font>, <a href="newton.html#K10" title="NEWTON:func.10">primenumber</a> <span class="p1">(<span class="default">1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p2">(<span class="default"><a href="number10.html#K3" title="NUMBER10:func.3">primeindex</a> <span class="p3">(<span class="default"><a href="number10.html#K2" title="NUMBER10:func.2">LP&lt;=6n+1</a> <font color="Olive" title="b1">n</font></span>)</span></span>)</span></span>)</span> <a href="number10.html#NR2" title="NUMBER10:NR.2">are_not_twin</a> </div></div>
