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

<a NAME="E1:44"/><i><font color="Green" title="E43">A1</font></i>: 
1259 <a href="binop_2.html#K10" title="BINOP_2:func.10">-</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 37 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 34
 
;<br/>
<a NAME="E2:44"/><i><font color="Green" title="E44">A2</font></i>: 
37 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 37 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 1
 
<b>by </b><i><a class="ref" href="newton.html#T10" title="NEWTON:th.10">NEWTON:10</a></i>;<br/>
<i><font color="Green" title="E45">A3</font></i>: 37 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 34 = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">34 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 3</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 34

<br/>.= 
3 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">3 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 11</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
3 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 1
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="newton.html#T64" title="NEWTON:th.64">NEWTON:64</a></i>
;<br/>
<a NAME="E4:44"/>
2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 
<b>by </b><i><a class="ref" href="newton.html#T10" title="NEWTON:th.10">NEWTON:10</a></i>;<br/>
<a NAME="E5:44"/><b>then </b><i><font color="Green" title="E46">A4</font></i>: 
<span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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
 
<b>by </b><i><a class="ref" href="nat_d.html#T24" title="NAT_D:th.24">NAT_D:24</a></i>;<br/>
<i><font color="Green" title="E47">A5</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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="binop_2.html#K24" title="BINOP_2:func.24">*</a> 2</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<b>by </b><i><a class="txt" href="nat_4.html#E5:44"><i><font color="Green" title="E46">A4</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
<br/>.= 
4
<b>by </b><i><a class="ref" href="nat_d.html#T24" title="NAT_D:th.24">NAT_D:24</a></i>
;<br/>
<i><font color="Green" title="E48">A6</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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="binop_2.html#K24" title="BINOP_2:func.24">*</a> 4</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<b>by </b><i><a class="txt" href="nat_4.html#E6:44"><i><font color="Green" title="E47">A5</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
<br/>.= 
16
<b>by </b><i><a class="ref" href="nat_d.html#T24" title="NAT_D:th.24">NAT_D:24</a></i>
;<br/>
<i><font color="Green" title="E49">A7</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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="binop_2.html#K24" title="BINOP_2:func.24">*</a> 16</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<b>by </b><i><a class="txt" href="nat_4.html#E7:44"><i><font color="Green" title="E48">A6</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
<br/>.= 
256
<b>by </b><i><a class="ref" href="nat_d.html#T24" title="NAT_D:th.24">NAT_D:24</a></i>
;<br/>
<a NAME="E9:44"/>
256 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 256 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 52</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 68
 
;<br/>
<a NAME="E10:44"/><b>then </b><i><font color="Green" title="E50">A8</font></i>: 
<span class="p1">(<span class="default">256 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
 
<b>by </b><i><a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>;<br/>
<i><font color="Green" title="E51">A9</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 8</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
68
<b>by </b><i><a class="txt" href="nat_4.html#E8:44"><i><font color="Green" title="E49">A7</font></i></a>, <a class="txt" href="nat_4.html#E10:44"><i><font color="Green" title="E50">A8</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
;<br/>
<a NAME="E12:44"/>
68 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 68 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 3</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 847
 
;<br/>
<a NAME="E13:44"/><b>then </b><i><font color="Green" title="E52">A10</font></i>: 
<span class="p1">(<span class="default">68 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
 
<b>by </b><i><a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>;<br/>
<i><font color="Green" title="E53">A11</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 16</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
847
<b>by </b><i><a class="txt" href="nat_4.html#E11:44"><i><font color="Green" title="E51">A9</font></i></a>, <a class="txt" href="nat_4.html#E13:44"><i><font color="Green" title="E52">A10</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
;<br/>
<a NAME="E15:44"/>
847 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 847 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 569</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1038
 
;<br/>
<a NAME="E16:44"/><b>then </b><i><font color="Green" title="E54">A12</font></i>: 
<span class="p1">(<span class="default">847 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
 
<b>by </b><i><a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>;<br/>
<i><font color="Green" title="E55">A13</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 32</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
1038
<b>by </b><i><a class="txt" href="nat_4.html#E14:44"><i><font color="Green" title="E53">A11</font></i></a>, <a class="txt" href="nat_4.html#E16:44"><i><font color="Green" title="E54">A12</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
;<br/>
<a NAME="E18:44"/>
1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1038 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 855</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 999
 
;<br/>
<a NAME="E19:44"/><b>then </b><i><font color="Green" title="E56">A14</font></i>: 
<span class="p1">(<span class="default">1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
 
<b>by </b><i><a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>;<br/>
<i><font color="Green" title="E57">A15</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 64</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
999
<b>by </b><i><a class="txt" href="nat_4.html#E17:44"><i><font color="Green" title="E55">A13</font></i></a>, <a class="txt" href="nat_4.html#E19:44"><i><font color="Green" title="E56">A14</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
;<br/>
<a NAME="E21:44"/>
999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 999 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 792</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 873
 
;<br/>
<a NAME="E22:44"/><b>then </b><i><font color="Green" title="E58">A16</font></i>: 
<span class="p1">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
 
<b>by </b><i><a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>;<br/>
<i><font color="Green" title="E59">A17</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 128</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
873
<b>by </b><i><a class="txt" href="nat_4.html#E20:44"><i><font color="Green" title="E57">A15</font></i></a>, <a class="txt" href="nat_4.html#E22:44"><i><font color="Green" title="E58">A16</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
;<br/>
<a NAME="E24:44"/>
873 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 873 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 605</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 434
 
;<br/>
<a NAME="E25:44"/><b>then </b><i><font color="Green" title="E60">A18</font></i>: 
<span class="p1">(<span class="default">873 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
 
<b>by </b><i><a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>;<br/>
<i><font color="Green" title="E61">A19</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 256</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
434
<b>by </b><i><a class="txt" href="nat_4.html#E23:44"><i><font color="Green" title="E59">A17</font></i></a>, <a class="txt" href="nat_4.html#E25:44"><i><font color="Green" title="E60">A18</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
;<br/>
<a NAME="E27:44"/>
434 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 434 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 149</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 765
 
;<br/>
<a NAME="E28:44"/><b>then </b><i><font color="Green" title="E62">A20</font></i>: 
<span class="p1">(<span class="default">434 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
 
<b>by </b><i><a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>;<br/>
<i><font color="Green" title="E63">A21</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 512</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259

<br/>.= 
765
<b>by </b><i><a class="txt" href="nat_4.html#E26:44"><i><font color="Green" title="E61">A19</font></i></a>, <a class="txt" href="nat_4.html#E28:44"><i><font color="Green" title="E62">A20</font></i></a>, <a class="ref" href="nat_4.html#T11" target="_self" title="NAT_4:th.11">Th11</a></i>
;<br/>
<a NAME="E30:44"/><i><font color="Green" title="E64">A22</font></i>: 
847 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1024 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 688</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1136
 
;<br/>
<a NAME="E31:44"/><i><font color="Green" title="E65">A23</font></i>: 
1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1136 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 936</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 744
 
;<br/>
<a NAME="E32:44"/><i><font color="Green" title="E66">A24</font></i>: 
999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 744 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 590</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 446
 
;<br/>
<a NAME="E33:44"/><i><font color="Green" title="E67">A25</font></i>: 
765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 446 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 271</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1
 
;<br/>
<i><font color="Green" title="E68">A26</font></i>: 1259 <a href="binarith.html#K3" title="BINARITH:func.3">-'</a> 1 = 
1259 <a href="binop_2.html#K10" title="BINOP_2:func.10">-</a> 1
<b>by </b><i><a class="ref" href="binarith.html#T50" title="BINARITH:th.50">BINARITH:50</a></i>
<br/>.= 
1258

;<br/>
<b>then </b><i><font color="Green" title="E69">A27</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">1259 <a href="binarith.html#K3" title="BINARITH:func.3">-'</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">1024 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 234</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#K16" title="NEWTON:func.16">|^</a> 1024</span>)</span> <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 234</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<b>by </b><i><a class="ref" href="newton.html#T13" title="NEWTON:th.13">NEWTON:13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 1024</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span> <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> <span class="p4">(<span class="default">128 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</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
<b>by </b><i><a class="ref" href="euler_2.html#T11" title="EULER_2:th.11">EULER_2:11</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 128</span>)</span> <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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
<b>by </b><i><a class="txt" href="nat_4.html#E29:44"><i><font color="Green" title="E63">A21</font></i></a>, <a class="ref" href="newton.html#T13" title="NEWTON:th.13">NEWTON:13</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> <span class="p0">(<span class="default">64 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</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
<b>by </b><i><a class="txt" href="nat_4.html#E20:44"><i><font color="Green" title="E57">A15</font></i></a>, <a class="ref" href="euler_2.html#T11" title="EULER_2:th.11">EULER_2:11</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 64</span>)</span> <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p0">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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
<b>by </b><i><a class="ref" href="newton.html#T13" title="NEWTON:th.13">NEWTON:13</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">32 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</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
<b>by </b><i><a class="txt" href="nat_4.html#E17:44"><i><font color="Green" title="E55">A13</font></i></a>, <a class="ref" href="euler_2.html#T11" title="EULER_2:th.11">EULER_2:11</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 32</span>)</span> <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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
<b>by </b><i><a class="ref" href="newton.html#T13" title="NEWTON:th.13">NEWTON:13</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">847 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> <span class="p4">(<span class="default">8 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</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
<b>by </b><i><a class="txt" href="nat_4.html#E14:44"><i><font color="Green" title="E53">A11</font></i></a>, <a class="ref" href="euler_2.html#T11" title="EULER_2:th.11">EULER_2:11</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">847 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 8</span>)</span> <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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
<b>by </b><i><a class="ref" href="newton.html#T13" title="NEWTON:th.13">NEWTON:13</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">847 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">256 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
<b>by </b><i><a class="txt" href="nat_4.html#E6:44"><i><font color="Green" title="E47">A5</font></i></a>, <a class="txt" href="nat_4.html#E8:44"><i><font color="Green" title="E49">A7</font></i></a>, <a class="ref" href="euler_2.html#T11" title="EULER_2:th.11">EULER_2:11</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">847 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
<b>by </b><i><a class="ref" href="nat_d.html#T24" title="NAT_D:th.24">NAT_D:24</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1038 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
<b>by </b><i><a class="txt" href="nat_4.html#E30:44"><i><font color="Green" title="E64">A22</font></i></a>, <a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">999 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</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
<b>by </b><i><a class="txt" href="nat_4.html#E31:44"><i><font color="Green" title="E65">A23</font></i></a>, <a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>
<br/>.= 
<span class="p1">(<span class="default">765 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 446</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<b>by </b><i><a class="txt" href="nat_4.html#E32:44"><i><font color="Green" title="E66">A24</font></i></a>, <a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>
<br/>.= 
1
<b>by </b><i><a class="txt" href="nat_4.html#E33:44"><i><font color="Green" title="E67">A25</font></i></a>, <a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>
;<br/>
<a NAME="E36:44"/><i><font color="Green" title="E70">A28</font></i>: 
1258 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">37 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 34</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
;<br/>
<a NAME="E37:44"/><i><font color="Green" title="E71">A29</font></i>: 
<span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 34</span>)</span> <a href="binarith.html#K3" title="BINARITH:func.3">-'</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 34</span>)</span> <a href="binop_2.html#K10" title="BINOP_2:func.10">-</a> 1
 
<b>by </b><i><a class="ref" href="binarith.html#T50" title="BINARITH:th.50">BINARITH:50</a>, <a class="ref" href="prepower.html#T19" title="PREPOWER:th.19">PREPOWER:19</a></i>;<br/>
<a NAME="E38:44"/><i><font color="Green" title="E72">A30</font></i>: 
847 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 2</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 870
 
;<br/>
<i><font color="Green" title="E73">A31</font></i>: <span class="p1">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</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#K16" title="NEWTON:func.16">|^</a> <span class="p2">(<span class="default">32 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</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#K16" title="NEWTON:func.16">|^</a> 32</span>)</span> <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> <span class="p2">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 2</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<b>by </b><i><a class="ref" href="newton.html#T13" title="NEWTON:th.13">NEWTON:13</a></i>
<br/>.= 
<span class="p1">(<span class="default">847 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 4</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259
<b>by </b><i><a class="txt" href="nat_4.html#E6:44"><i><font color="Green" title="E47">A5</font></i></a>, <a class="txt" href="nat_4.html#E14:44"><i><font color="Green" title="E53">A11</font></i></a>, <a class="ref" href="euler_2.html#T11" title="EULER_2:th.11">EULER_2:11</a></i>
<br/>.= 
870
<b>by </b><i><a class="txt" href="nat_4.html#E38:44"><i><font color="Green" title="E72">A30</font></i></a>, <a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>
;<br/>
<a NAME="E40:44"/><i><font color="Green" title="E74">A32</font></i>: 
2128 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 869
 
;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">1259 <a href="binarith.html#K3" title="BINARITH:func.3">-'</a> 1</span>)</span> <a href="nat_d.html#K3" title="NAT_D:func.3">div</a> 37</span>)</span></span>)</span> <a href="binarith.html#K3" title="BINARITH:func.3">-'</a> 1</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 1259 = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 34</span>)</span> <a href="binarith.html#K3" title="BINARITH:func.3">-'</a> 1</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 1259
<b>by </b><i><a class="txt" href="nat_4.html#E34:44"><i><font color="Green" title="E68">A26</font></i></a>, <a class="txt" href="nat_4.html#E36:44"><i><font color="Green" title="E70">A28</font></i></a>, <a class="ref" href="nat_d.html#D1" title="NAT_D:def.1">NAT_D:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 34</span>)</span> <a href="binarith.html#K3" title="BINARITH:func.3">-'</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> <span class="p2">(<span class="default">1259 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span></span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 1259
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
1259 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="newton.html#K16" title="NEWTON:func.16">|^</a> 34</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1258</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span>
<b>by </b><i><a class="txt" href="nat_4.html#E37:44"><i><font color="Green" title="E71">A29</font></i></a>, <a class="ref" href="nat_d.html#T28" title="NAT_D:th.28">NAT_D:28</a></i>
<br/>.= 
1259 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">870 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</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>
<b>by </b><i><a class="txt" href="nat_4.html#E39:44"><i><font color="Green" title="E73">A31</font></i></a>, <a class="ref" href="euler_2.html#T8" title="EULER_2:th.8">EULER_2:8</a></i>
<br/>.= 
1259 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">870 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1258</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 1259</span>)</span>
<b>by </b><i><a class="ref" href="nat_d.html#T24" title="NAT_D:th.24">NAT_D:24</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">869 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 390</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 869
<b>by </b><i><a class="txt" href="nat_4.html#E40:44"><i><font color="Green" title="E74">A32</font></i></a>, <a class="ref" href="nat_d.html#D2" title="NAT_D:def.2">NAT_D:def 2</a></i>
<br/>.= 
390 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">390 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 2</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 89</span>)</span>
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">89 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 4</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 34</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 89
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
34 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">34 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 2</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 21</span>)</span>
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">21 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 13</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 21
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
13 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">13 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 8</span>)</span>
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">8 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 5</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 8
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
5 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">5 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 3</span>)</span>
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">3 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 2</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 3
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
2 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="binop_2.html#K24" title="BINOP_2:func.24">*</a> 1</span>)</span> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
2 <a href="nat_d.html#K6" title="NAT_D:func.6">hcf</a> 1
<b>by </b><i><a class="ref" href="euler_1.html#T9" title="EULER_1:th.9">EULER_1:9</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="newton.html#T64" title="NEWTON:th.64">NEWTON:64</a></i>
;<br/>
<b>hence </b><a NAME="E42:44"/>
1259 is <a href="int_2.html#V1" title="INT_2:attr.1">prime</a>
 <b>by </b><i><a class="txt" href="nat_4.html#E1:44"><i><font color="Green" title="E43">A1</font></i></a>, <a class="txt" href="nat_4.html#E2:44"><i><font color="Green" title="E44">A2</font></i></a>, <a class="txt" href="nat_4.html#E3:44"><i><font color="Green" title="E45">A3</font></i></a>, <a class="txt" href="nat_4.html#E35:44"><i><font color="Green" title="E69">A27</font></i></a>, <a class="ref" href="nat_4.html#T25" target="_self" title="NAT_4:th.25">Th25</a>, <a class="ref" href="nat_4.html#T31" target="_self" title="NAT_4:th.31">Th31</a></i>;<br/>


</div>
