Loesung zu L.A. I / Aufgabe 4 / Blatt 6 / WiSe 09/10
mene.biz/uni/la1_u6_a4.php

x	1
x^2+1	0

A=1

x	1	2
x^2+1	2	2

A=0

x	1	2	3	4
x^2+1	2	0	0	2

A=2

x	1	2	3	4	5	6
x^2+1	2	5	3	3	5	2

A=0

x	1	2	3	4	5	6	7	8	9	10
x^2+1	2	5	10	6	4	4	6	10	5	2

A=0

x	1	2	3	4	5	6	7	8	9	10	11	12
x^2+1	2	5	10	4	0	11	11	0	4	10	5	2

A=2

x	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16
x^2+1	2	5	10	0	9	3	16	14	14	16	3	9	0	10	5	2

A=2

x	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18
x^2+1	2	5	10	17	7	18	12	8	6	6	8	12	18	7	17	10	5	2

A=0

x	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22
x^2+1	2	5	10	17	3	14	4	19	13	9	7	7	9	13	19	4	14	3	17	10	5	2

A=0

x	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
x^2+1	2	5	10	17	26	8	21	7	24	14	6	0	25	23	23	25	0	6	14	24	7	21	8	26	17	10	5	2

A=2

x	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30
x^2+1	2	5	10	17	26	6	19	3	20	8	29	21	15	11	9	9	11	15	21	29	8	20	3	19	6	26	17	10	5	2

A=0

x	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36
x^2+1	2	5	10	17	26	0	13	28	8	27	11	34	22	12	4	35	31	29	29	31	35	4	12	22	34	11	27	8	28	13	0	26	17	10	5	2

A=2

Σa=(1 0 2 0 0 2 2 0 0 2 0 2 )

<html> <head> </head> <body>
Loesung zu L.A. I / Aufgabe 4 / Blatt 6 / WiSe 09/10 
<?php
print($_SERVER[HTTP_HOST].$_SERVER[REQUEST_URI]." ");
$primes = array(2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37);
$ages = "";
foreach($primes as $i){
$a=0;
print("<table border=1><tr><th>x</th>");
for($x=1;$x<$i;$x++){
print("<td>$x</td>");
}
print("</tr><tr><th>x^2+1</th>");
for($x=1;$x<$i;$x++){
print('<td>'.(($x*$x)+1)%$i.'</td>');
if((($x*$x)+1)%$i==0)$a++;
}
print("</table> A=".$a." ");
$ages.=$a." ";
}
print("Σa=(".$ages.")");
?>
 
<hr>
<?php
$f=fopen($_SERVER[SCRIPT_FILENAME], "r");
while(!feof($f)){
print(nl2br(htmlspecialchars(fread($f, 1024))));
}
fclose($f);
?>
</body> </html>