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

<a NAME="E1:45"/>
733 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 733 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 214</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1647
 
;<br/>
<a NAME="E2:45"/><span class="kw">then </span><span class="lab"><font color="Green" title="E43">A1</font></span>: 
<span class="p1">(<span class="default">733 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 733</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1647
 
<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="E3:45"/><span class="lab"><font color="Green" title="E44">A2</font></span>: 
4334 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <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> 1831
 
;<br/>
<a NAME="E4:45"/>
458 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 458 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 83</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2015
 
;<br/>
<a NAME="E5:45"/><span class="kw">then </span><span class="lab"><font color="Green" title="E45">A3</font></span>: 
<span class="p1">(<span class="default">458 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 458</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2015
 
<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="E6:45"/><span class="lab"><font color="Green" title="E46">A4</font></span>: 
359 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 64 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 9</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 449
 
;<br/>
<a NAME="E7:45"/>
359 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 359 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 51</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1228
 
;<br/>
<a NAME="E8:45"/><span class="kw">then </span><span class="lab"><font color="Green" title="E47">A5</font></span>: 
<span class="p1">(<span class="default">359 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 359</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1228
 
<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="E9:45"/><span class="lab"><font color="Green" title="E48">A6</font></span>: 
1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 712 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 335</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 231
 
;<br/>
<a NAME="E10:45"/>
2015 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 2015 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1622</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 359
 
;<br/>
<a NAME="E11:45"/><span class="kw">then </span><span class="lab"><font color="Green" title="E49">A7</font></span>: 
<span class="p1">(<span class="default">2015 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 2015</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 359
 
<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="E12:45"/><span class="lab"><font color="Green" title="E50">A8</font></span>: 
1228 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 449 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 220</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 712
 
;<br/>
<a NAME="E13:45"/>
1228 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1228 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 602</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1178
 
;<br/>
<a NAME="E14:45"/><span class="kw">then </span><span class="lab"><font color="Green" title="E51">A9</font></span>: 
<span class="p1">(<span class="default">1228 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1228</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1178
 
<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="E15:45"/><span class="lab"><font color="Green" title="E52">A10</font></span>: 
1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 231 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 152</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1
 
;<br/>
<a NAME="E16:45"/>
1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1178 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 554</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1022
 
;<br/>
<a NAME="E17:45"/><span class="kw">then </span><span class="lab"><font color="Green" title="E53">A11</font></span>: 
<span class="p1">(<span class="default">1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1178</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1022
 
<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="E54">A12</font></span>: 2503 <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1 = 
2503 <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/>.= 
2502

;<br/>
<a NAME="E19:45"/>
1022 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1022 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 417</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 733
 
;<br/>
<a NAME="E20:45"/><span class="kw">then </span><span class="lab"><font color="Green" title="E55">A13</font></span>: 
<span class="p1">(<span class="default">1022 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1022</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 733
 
<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="E21:45"/><span class="lab"><font color="Green" title="E56">A14</font></span>: 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 18</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> 18</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="E22:45"/>
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">2503 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 26</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 458
 
;<br/>
<a NAME="E23:45"/><span class="kw">then </span><span class="lab"><font color="Green" title="E57">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> 2503 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 458
 
<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="E24:45"/><span class="lab"><font color="Green" title="E58">A16</font></span>: 
( 2503 <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 139 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 18 &amp; 139 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 139 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 1 )
 
;<br/>
<a NAME="E25:45"/><span class="lab"><font color="Green" title="E59">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> 2503 <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="E60">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> 2503 = 
<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> 2503

<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> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E25:45"><span class="lab"><font color="Green" title="E59">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="E61">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> 2503 = 
<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> 2503

<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> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E26:45"><span class="lab"><font color="Green" title="E60">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="E62">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> 2503 = 
<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> 2503

<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> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E27:45"><span class="lab"><font color="Green" title="E61">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="E63">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> 2503 = 
<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> 2503

<br/>.= 
458
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E28:45"><span class="lab"><font color="Green" title="E62">A20</font></span></a>, <a class="txt" href="#E23:45"><span class="lab"><font color="Green" title="E57">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="E64">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> 2503 = 
<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> 2503

<br/>.= 
2015
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E29:45"><span class="lab"><font color="Green" title="E63">A21</font></span></a>, <a class="txt" href="#E5:45"><span class="lab"><font color="Green" title="E45">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/>
<span class="lab"><font color="Green" title="E65">A23</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> 2503 = 
<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> 2503

<br/>.= 
359
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E30:45"><span class="lab"><font color="Green" title="E64">A22</font></span></a>, <a class="txt" href="#E11:45"><span class="lab"><font color="Green" title="E49">A7</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="E66">A24</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 18</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">16 <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> 2503

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 16</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> 2503
<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">458 <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> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E26:45"><span class="lab"><font color="Green" title="E60">A18</font></span></a>, <a class="txt" href="#E29:45"><span class="lab"><font color="Green" title="E63">A21</font></span></a>, <a class="ref" href="nat_d.html#T67" onmouseover="rs('nat_d/T67')" onmouseout="rh()">NAT_D:67</a></span>
<br/>.= 
1832
<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="E67">A25</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> 2503 = 
<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> 2503

<br/>.= 
1228
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E31:45"><span class="lab"><font color="Green" title="E65">A23</font></span></a>, <a class="txt" href="#E8:45"><span class="lab"><font color="Green" title="E47">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="E68">A26</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> 2503 = 
<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> 2503

<br/>.= 
1178
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E33:45"><span class="lab"><font color="Green" title="E67">A25</font></span></a>, <a class="txt" href="#E14:45"><span class="lab"><font color="Green" title="E51">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/>
<a NAME="E35:45"/>
2502 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">139 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 18</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="E69">A27</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">2503 <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> 139</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> 2503 = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 18</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> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E18:45"><span class="lab"><font color="Green" title="E54">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> 18</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">2503 <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> 2503
<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/>.= 
2503 <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> 18</span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2502</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E21:45"><span class="lab"><font color="Green" title="E56">A14</font></span></a>, <a class="ref" href="nat_d.html#T28" onmouseover="rs('nat_d/T28')" onmouseout="rh()">NAT_D:28</a></span>
<br/>.= 
2503 <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">1832 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p3">(<span class="default">2502 <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E32:45"><span class="lab"><font color="Green" title="E66">A24</font></span></a>, <a class="ref" href="nat_d.html#T66" onmouseover="rs('nat_d/T66')" onmouseout="rh()">NAT_D:66</a></span>
<br/>.= 
2503 <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">1832 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2502</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</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">1831 <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> 672</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 1831
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:45"><span class="lab"><font color="Green" title="E44">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/>.= 
672 <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">672 <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> 487</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">487 <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> 185</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 487
<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/>.= 
185 <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">185 <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> 117</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">117 <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> 68</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 117
<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/>.= 
68 <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">68 <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> 49</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">49 <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> 19</span>)</span> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 49
<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/>.= 
19 <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">19 <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> 11</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">11 <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> <a href="nat_d.html#K6" title="NAT_D:func.6">gcd</a> 11
<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/>.= 
8 <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">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> 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> 2</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="E70">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> 2503 = 
<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> 2503

<br/>.= 
1022
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E34:45"><span class="lab"><font color="Green" title="E68">A26</font></span></a>, <a class="txt" href="#E17:45"><span class="lab"><font color="Green" title="E53">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="E71">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> 2503 = 
<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> 2503

<br/>.= 
733
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E37:45"><span class="lab"><font color="Green" title="E70">A28</font></span></a>, <a class="txt" href="#E20:45"><span class="lab"><font color="Green" title="E55">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="E72">A30</font></span>: <span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> 2048</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503 = 
<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> 1024</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503

<br/>.= 
1647
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E38:45"><span class="lab"><font color="Green" title="E71">A29</font></span></a>, <a class="txt" href="#E2:45"><span class="lab"><font color="Green" title="E43">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="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2503 <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> 2503 = 
<span class="p1">(<span class="default">2 <a href="newton.html#K11" title="NEWTON:func.11">|^</a> <span class="p2">(<span class="default">2048 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 454</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E18:45"><span class="lab"><font color="Green" title="E54">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> 2048</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> 454</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<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> 2048</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</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">256 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 198</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<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">1647 <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> 256</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> 198</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E39:45"><span class="lab"><font color="Green" title="E72">A30</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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <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">128 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 70</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E34:45"><span class="lab"><font color="Green" title="E68">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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <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> 128</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> 70</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1228 <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">64 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 6</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E33:45"><span class="lab"><font color="Green" title="E67">A25</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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1228 <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> 64</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> 6</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1228 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">359 <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">4 <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> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E31:45"><span class="lab"><font color="Green" title="E65">A23</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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1228 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">359 <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> 4</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> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1228 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">359 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">16 <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> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E26:45"><span class="lab"><font color="Green" title="E60">A18</font></span></a>, <a class="txt" href="#E27:45"><span class="lab"><font color="Green" title="E61">A19</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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1228 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default">359 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 64</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default">1228 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 449</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:45"><span class="lab"><font color="Green" title="E46">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">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1178 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 712</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:45"><span class="lab"><font color="Green" title="E50">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="p1">(<span class="default">1647 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 231</span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 2503
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:45"><span class="lab"><font color="Green" title="E48">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/>.= 
1
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E15:45"><span class="lab"><font color="Green" title="E52">A10</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="E41:45"/>
2503 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="#E24:45"><span class="lab"><font color="Green" title="E58">A16</font></span></a>, <a class="txt" href="#E36:45"><span class="lab"><font color="Green" title="E69">A27</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#T34" target="_self" onmouseover="rs('nat_4/T34')" onmouseout="rh()">Th34</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/>


</div>
