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Teilereigenschaften (Z)/Befreundete Zahlen/Regel von Thabit/Tabelle/Aufgabe
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Ergänze die folgende
Tabelle
um weitere Zeilen.
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
(nicht prim)
{\displaystyle {}287=7\cdot 41{\text{ (nicht prim)}}}
{\displaystyle {}\,}
{\displaystyle {}\,}
4
{\displaystyle {}4}
23
{\displaystyle {}23}
47
{\displaystyle {}47}
1151
{\displaystyle {}1151}
17296
{\displaystyle {}17296}
18416
{\displaystyle {}18416}
5
{\displaystyle {}5}
47
{\displaystyle {}47}
95
{\displaystyle {}95}
4607
=
17
⋅
271
(nicht prim)
{\displaystyle {}4607=17\cdot 271{\text{ (nicht prim)}}}
{\displaystyle {}\,}
{\displaystyle {}\,}
6
{\displaystyle {}6}
95
=
5
⋅
19
(nicht prim)
{\displaystyle {}95=5\cdot 19{\text{ (nicht prim)}}}
191
{\displaystyle {}191}
18431
=
7
⋅
2633
(nicht prim)
{\displaystyle {}18431=7\cdot 2633{\text{ (nicht prim)}}}
{\displaystyle {}\,}
{\displaystyle {}\,}
7
{\displaystyle {}7}
191
{\displaystyle {}191}
383
{\displaystyle {}383}
73727
{\displaystyle {}73727}
9363584
{\displaystyle {}9363584}
9437056
{\displaystyle {}9437056}
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