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Abrankov/Vorlesung/Befreundete Zahlen/Regel von Thabit/Tabelle
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Vorlesung
k
{\displaystyle k}
a
=
3
⋅
2
k
−
1
−
1
{\displaystyle a=3\cdot 2^{k-1}-1}
b
=
3
⋅
2
k
−
1
{\displaystyle b=3\cdot 2^{k}-1}
c
=
9
⋅
2
2
k
−
1
−
1
{\displaystyle c=9\cdot 2^{2k-1}-1}
m
=
2
k
a
b
{\displaystyle m=2^{k}ab}
n
=
2
k
c
{\displaystyle n=2^{k}c}
2
{\displaystyle 2}
5
{\displaystyle 5}
11
{\displaystyle 11}
71
{\displaystyle 71}
220
{\displaystyle 220}
284
{\displaystyle 284}
3
{\displaystyle 3}
11
{\displaystyle 11}
23
{\displaystyle 23}
287
=
7
⋅
41
{\displaystyle 287=7\cdot 41}
(nicht prim)
4
{\displaystyle 4}
23
{\displaystyle 23}
47
{\displaystyle 47}
1151
{\displaystyle 1151}
(prim)
17296
{\displaystyle 17296}
18416
{\displaystyle 18416}
5
{\displaystyle 5}
47
{\displaystyle 47}
95
{\displaystyle 95}
(nicht prim)
6
{\displaystyle 6}
95
{\displaystyle 95}
(nicht prim)
7
{\displaystyle 7}
191
{\displaystyle 191}
383
{\displaystyle 383}
73727
{\displaystyle 73727}
(prim)
9363584
{\displaystyle 9363584}
9437056
{\displaystyle 9437056}
8
{\displaystyle 8}
383
{\displaystyle 383}
767
=
13
⋅
59
{\displaystyle 767=13\cdot 59}
(nicht prim)
9
{\displaystyle 9}
767
{\displaystyle 767}
(nicht prim)