<?xml version="1.0"?>
<div class="add">

<a NAME="E1:44"/>
1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1038 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 855</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 999
 
;<br/>
<a NAME="E2:44"/><span class="kw">then </span><span class="lab"><font color="Green" title="E42">A1</font></span>: 
<span class="p1">(<span class="default">1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1038</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 999
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>;<br/>
<a NAME="E3:44"/><span class="lab"><font color="Green" title="E43">A2</font></span>: 
999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 744 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 590</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 446
 
;<br/>
<a NAME="E4:44"/>
847 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 847 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 569</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1038
 
;<br/>
<a NAME="E5:44"/><span class="kw">then </span><span class="lab"><font color="Green" title="E44">A3</font></span>: 
<span class="p1">(<span class="default">847 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 847</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1038
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>;<br/>
<a NAME="E6:44"/><span class="lab"><font color="Green" title="E45">A4</font></span>: 
1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1136 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 936</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 744
 
;<br/>
<a NAME="E7:44"/>
999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 999 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 792</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 873
 
;<br/>
<a NAME="E8:44"/><span class="kw">then </span><span class="lab"><font color="Green" title="E46">A5</font></span>: 
<span class="p1">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 999</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 873
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>;<br/>
<a NAME="E9:44"/><span class="lab"><font color="Green" title="E47">A6</font></span>: 
765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 446 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 271</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1
 
;<br/>
<a NAME="E10:44"/><span class="lab"><font color="Green" title="E48">A7</font></span>: 
2128 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 869
 
;<br/>
<a NAME="E11:44"/><span class="lab"><font color="Green" title="E49">A8</font></span>: 
847 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 2</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 870
 
;<br/>
<a NAME="E12:44"/>
434 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 434 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 149</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 765
 
;<br/>
<a NAME="E13:44"/><span class="kw">then </span><span class="lab"><font color="Green" title="E50">A9</font></span>: 
<span class="p1">(<span class="default">434 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 434</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 765
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>;<br/>
<a NAME="E14:44"/><span class="lab"><font color="Green" title="E51">A10</font></span>: 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 34</span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 34</span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="prepower.html#T11" onmouseover="rs('prepower/T11')" onmouseout="rh()">PREPOWER:11</a>, <a class="ref" href="xreal_1.html#T233" onmouseover="rs('xreal_1/T233')" onmouseout="rh()">XREAL_1:233</a></span>;<br/>
<a NAME="E15:44"/>
873 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 873 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 605</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 434
 
;<br/>
<a NAME="E16:44"/><span class="kw">then </span><span class="lab"><font color="Green" title="E52">A11</font></span>: 
<span class="p1">(<span class="default">873 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 873</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 434
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>;<br/>
<span class="lab"><font color="Green" title="E53">A12</font></span>: 1259 <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1 = 
1259 <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1
<span class="kw">by</span> <span class="lab"><a class="ref" href="xreal_1.html#T233" onmouseover="rs('xreal_1/T233')" onmouseout="rh()">XREAL_1:233</a></span>
<br/>.= 
1258

;<br/>
<a NAME="E18:44"/>
68 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 68 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 3</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 847
 
;<br/>
<a NAME="E19:44"/><span class="kw">then </span><span class="lab"><font color="Green" title="E54">A13</font></span>: 
<span class="p1">(<span class="default">68 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 68</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 847
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>;<br/>
<a NAME="E20:44"/><span class="lab"><font color="Green" title="E55">A14</font></span>: 
847 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1024 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 688</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1136
 
;<br/>
<a NAME="E21:44"/>
256 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 256 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 52</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 68
 
;<br/>
<a NAME="E22:44"/><span class="kw">then </span><span class="lab"><font color="Green" title="E56">A15</font></span>: 
<span class="p1">(<span class="default">256 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 256</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 68
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>;<br/>
<a NAME="E23:44"/><span class="lab"><font color="Green" title="E57">A16</font></span>: 
( 1259 <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 37 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 34 &amp; 37 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 37 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 1 )
 
;<br/>
<a NAME="E24:44"/><span class="lab"><font color="Green" title="E58">A17</font></span>: 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 1</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#T24" onmouseover="rs('nat_d/T24')" onmouseout="rh()">NAT_D:24</a></span>;<br/>
<span class="lab"><font color="Green" title="E59">A18</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 2</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
<span class="p1">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 2</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E24:44"><span class="lab"><font color="Green" title="E58">A17</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
<br/>.= 
4
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#T24" onmouseover="rs('nat_d/T24')" onmouseout="rh()">NAT_D:24</a></span>
;<br/>
<span class="lab"><font color="Green" title="E60">A19</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 4</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 2</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
<span class="p1">(<span class="default">4 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 4</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E25:44"><span class="lab"><font color="Green" title="E59">A18</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
<br/>.= 
16
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#T24" onmouseover="rs('nat_d/T24')" onmouseout="rh()">NAT_D:24</a></span>
;<br/>
<span class="lab"><font color="Green" title="E61">A20</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 8</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 4</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
<span class="p1">(<span class="default">16 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 16</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E26:44"><span class="lab"><font color="Green" title="E60">A19</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
<br/>.= 
256
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#T24" onmouseover="rs('nat_d/T24')" onmouseout="rh()">NAT_D:24</a></span>
;<br/>
<span class="lab"><font color="Green" title="E62">A21</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 16</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 8</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
68
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E27:44"><span class="lab"><font color="Green" title="E61">A20</font></span></a>, <a class="txt" href="#E22:44"><span class="lab"><font color="Green" title="E56">A15</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
;<br/>
<span class="lab"><font color="Green" title="E63">A22</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 32</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 16</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
847
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E28:44"><span class="lab"><font color="Green" title="E62">A21</font></span></a>, <a class="txt" href="#E19:44"><span class="lab"><font color="Green" title="E54">A13</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
;<br/>
<span class="lab"><font color="Green" title="E64">A23</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 34</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">32 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 32</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 2</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="ref" href="newton.html#T8" onmouseover="rs('newton/T8')" onmouseout="rh()">NEWTON:8</a></span>
<br/>.= 
<span class="p1">(<span class="default">847 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 4</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E25:44"><span class="lab"><font color="Green" title="E59">A18</font></span></a>, <a class="txt" href="#E29:44"><span class="lab"><font color="Green" title="E63">A22</font></span></a>, <a class="ref" href="nat_d.html#T67" onmouseover="rs('nat_d/T67')" onmouseout="rh()">NAT_D:67</a></span>
<br/>.= 
870
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:44"><span class="lab"><font color="Green" title="E49">A8</font></span></a>, <a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>
;<br/>
<span class="lab"><font color="Green" title="E65">A24</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 64</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 32</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
1038
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E29:44"><span class="lab"><font color="Green" title="E63">A22</font></span></a>, <a class="txt" href="#E5:44"><span class="lab"><font color="Green" title="E44">A3</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
;<br/>
<a NAME="E32:44"/>
1258 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">37 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 34</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>
 
;<br/>
<span class="kw">then </span><span class="lab"><font color="Green" title="E66">A25</font></span>: <span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">1259 <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> 37</span>)</span></span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 1259 = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 34</span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E17:44"><span class="lab"><font color="Green" title="E53">A12</font></span></a>, <a class="ref" href="nat_d.html#D1" onmouseover="rs('nat_d/D1')" onmouseout="rh()">NAT_D:def 1</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 34</span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p2">(<span class="default">1259 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span></span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 1259
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
1259 <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 34</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1258</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E14:44"><span class="lab"><font color="Green" title="E51">A10</font></span></a>, <a class="ref" href="nat_d.html#T28" onmouseover="rs('nat_d/T28')" onmouseout="rh()">NAT_D:28</a></span>
<br/>.= 
1259 <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">870 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p3">(<span class="default">1258 <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E30:44"><span class="lab"><font color="Green" title="E64">A23</font></span></a>, <a class="ref" href="nat_d.html#T66" onmouseover="rs('nat_d/T66')" onmouseout="rh()">NAT_D:66</a></span>
<br/>.= 
1259 <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">870 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1258</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#T24" onmouseover="rs('nat_d/T24')" onmouseout="rh()">NAT_D:24</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">869 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 390</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 869
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:44"><span class="lab"><font color="Green" title="E48">A7</font></span></a>, <a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>
<br/>.= 
390 <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">390 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 2</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 89</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">89 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 4</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 34</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 89
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
34 <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">34 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 2</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 21</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">21 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 13</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 21
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
13 <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">13 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 8</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">8 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 5</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 8
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
5 <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">5 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 3</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">3 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 3
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
2 <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
2 <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 1
<span class="kw">by</span> <span class="lab"><a class="ref" href="euler_1.html#T8" onmouseover="rs('euler_1/T8')" onmouseout="rh()">EULER_1:8</a></span>
<br/>.= 
1
<span class="kw">by</span> <span class="lab"><a class="ref" href="newton.html#T51" onmouseover="rs('newton/T51')" onmouseout="rh()">NEWTON:51</a></span>
;<br/>
<span class="lab"><font color="Green" title="E67">A26</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 128</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 64</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
999
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E31:44"><span class="lab"><font color="Green" title="E65">A24</font></span></a>, <a class="txt" href="#E2:44"><span class="lab"><font color="Green" title="E42">A1</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
;<br/>
<span class="lab"><font color="Green" title="E68">A27</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 256</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 128</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
873
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E34:44"><span class="lab"><font color="Green" title="E67">A26</font></span></a>, <a class="txt" href="#E8:44"><span class="lab"><font color="Green" title="E46">A5</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
;<br/>
<span class="lab"><font color="Green" title="E69">A28</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 512</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 256</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
434
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E35:44"><span class="lab"><font color="Green" title="E68">A27</font></span></a>, <a class="txt" href="#E16:44"><span class="lab"><font color="Green" title="E52">A11</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
;<br/>
<span class="lab"><font color="Green" title="E70">A29</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 1024</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 512</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
765
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E36:44"><span class="lab"><font color="Green" title="E69">A28</font></span></a>, <a class="txt" href="#E13:44"><span class="lab"><font color="Green" title="E50">A9</font></span></a>, <a class="ref" href="nat_4.html#T11" target="_self" onmouseover="rs('nat_4/T11')" onmouseout="rh()">Th11</a></span>
;<br/>
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">1259 <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">1024 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 234</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E17:44"><span class="lab"><font color="Green" title="E53">A12</font></span></a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 1024</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 234</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="ref" href="newton.html#T8" onmouseover="rs('newton/T8')" onmouseout="rh()">NEWTON:8</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 1024</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p4">(<span class="default">128 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 106</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#T67" onmouseover="rs('nat_d/T67')" onmouseout="rh()">NAT_D:67</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 128</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 106</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E37:44"><span class="lab"><font color="Green" title="E70">A29</font></span></a>, <a class="ref" href="newton.html#T8" onmouseover="rs('newton/T8')" onmouseout="rh()">NEWTON:8</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p0">(<span class="default">64 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 42</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E34:44"><span class="lab"><font color="Green" title="E67">A26</font></span></a>, <a class="ref" href="nat_d.html#T67" onmouseover="rs('nat_d/T67')" onmouseout="rh()">NAT_D:67</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 64</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 42</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="ref" href="newton.html#T8" onmouseover="rs('newton/T8')" onmouseout="rh()">NEWTON:8</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">32 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 10</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E31:44"><span class="lab"><font color="Green" title="E65">A24</font></span></a>, <a class="ref" href="nat_d.html#T67" onmouseover="rs('nat_d/T67')" onmouseout="rh()">NAT_D:67</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 32</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 10</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="ref" href="newton.html#T8" onmouseover="rs('newton/T8')" onmouseout="rh()">NEWTON:8</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">847 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p4">(<span class="default">8 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E29:44"><span class="lab"><font color="Green" title="E63">A22</font></span></a>, <a class="ref" href="nat_d.html#T67" onmouseover="rs('nat_d/T67')" onmouseout="rh()">NAT_D:67</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">847 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 8</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 2</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="ref" href="newton.html#T8" onmouseover="rs('newton/T8')" onmouseout="rh()">NEWTON:8</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">847 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">256 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 4</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E25:44"><span class="lab"><font color="Green" title="E59">A18</font></span></a>, <a class="txt" href="#E27:44"><span class="lab"><font color="Green" title="E61">A20</font></span></a>, <a class="ref" href="nat_d.html#T67" onmouseover="rs('nat_d/T67')" onmouseout="rh()">NAT_D:67</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">847 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1024</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_d.html#T24" onmouseover="rs('nat_d/T24')" onmouseout="rh()">NAT_D:24</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1136</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E20:44"><span class="lab"><font color="Green" title="E55">A14</font></span></a>, <a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 744</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:44"><span class="lab"><font color="Green" title="E45">A4</font></span></a>, <a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 446</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:44"><span class="lab"><font color="Green" title="E43">A2</font></span></a>, <a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>
<br/>.= 
1
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:44"><span class="lab"><font color="Green" title="E47">A6</font></span></a>, <a class="ref" href="nat_d.html#D2" onmouseover="rs('nat_d/D2')" onmouseout="rh()">NAT_D:def 2</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E39:44"/>
1259 is  <a href="int_2.html#V1" title="INT_2:attr.1">prime</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E23:44"><span class="lab"><font color="Green" title="E57">A16</font></span></a>, <a class="txt" href="#E33:44"><span class="lab"><font color="Green" title="E66">A25</font></span></a>, <a class="ref" href="nat_4.html#T25" target="_self" onmouseover="rs('nat_4/T25')" onmouseout="rh()">Th25</a>, <a class="ref" href="nat_4.html#T31" target="_self" onmouseover="rs('nat_4/T31')" onmouseout="rh()">Th31</a></span>; <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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