Quasiamicable Numbers/Examples/140,195

Examples of Quasiamicable Pair

$140$ and $195$ form a quasiamicable pair.


Proof

\(\ds \map {\sigma_1} {140}\) \(=\) \(\ds 336\) $\sigma_1$ of $140$
\(\ds \map {\sigma_1} {195}\) \(=\) \(\ds 336\) $\sigma_1$ of $195$
\(\ds 140 + 195 + 1\) \(=\) \(\ds 336\)

Hence the result by definition of quasiamicable pair.

$\blacksquare$


Sources

  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $140$