# Teilereigenschaften (Z)/Befreundete Zahlen/Regel von Thabit/Tabelle/Aufgabe

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Ergänze die folgende Tabelle um weitere Zeilen.

${\displaystyle {}k}$ ${\displaystyle {}a=3\cdot 2^{k-1}-1}$ ${\displaystyle {}b=3\cdot 2^{k}-1}$ ${\displaystyle {}c=9\cdot 2^{2k-1}-1}$ ${\displaystyle {}m=2^{k}ab}$ ${\displaystyle {}n=2^{k}c}$
${\displaystyle {}2}$ ${\displaystyle {}5}$ ${\displaystyle {}11}$ ${\displaystyle {}71}$ ${\displaystyle {}220}$ ${\displaystyle {}284}$
${\displaystyle {}3}$ ${\displaystyle {}11}$ ${\displaystyle {}23}$ ${\displaystyle {}287=7\cdot 41{\text{ (nicht prim)}}}$ ${\displaystyle {}\,}$ ${\displaystyle {}\,}$
${\displaystyle {}4}$ ${\displaystyle {}23}$ ${\displaystyle {}47}$ ${\displaystyle {}1151}$ ${\displaystyle {}17296}$ ${\displaystyle {}18416}$
${\displaystyle {}5}$ ${\displaystyle {}47}$ ${\displaystyle {}95}$ ${\displaystyle {}4607=17\cdot 271{\text{ (nicht prim)}}}$ ${\displaystyle {}\,}$ ${\displaystyle {}\,}$
${\displaystyle {}6}$ ${\displaystyle {}95=5\cdot 19{\text{ (nicht prim)}}}$ ${\displaystyle {}191}$ ${\displaystyle {}18431=7\cdot 2633{\text{ (nicht prim)}}}$ ${\displaystyle {}\,}$ ${\displaystyle {}\,}$
${\displaystyle {}7}$ ${\displaystyle {}191}$ ${\displaystyle {}383}$ ${\displaystyle {}73727}$ ${\displaystyle {}9363584}$ ${\displaystyle {}9437056}$