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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E3">Def1</font></span>   defines <a href="number05.html#K1" title="NUMBER05:func.1">4k+3_Primes</a> <a onclick="hs(this)" href="javascript:()">NUMBER05:def 1 : <br/></a><span> for <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> holds <br/> ( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="number05.html#K1" title="NUMBER05:func.1">4k+3_Primes</a>  iff  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive" title="b2">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>1</sub></font> iff  ex <font color="Olive" title="b3">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/>( <font color="Olive" title="b2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">4 <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b3">k</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 3 &amp; <font color="Olive" title="b2">n</font> is  <a href="int_2.html#V1" title="INT_2:attr.1">prime</a>  ) ) );<br/></span></div>
