Integers Differing by 2 with Same Divisor Sum/Examples/33

Example of Integers Differing by 2 with Same Divisor Sum

Let $\sigma_1: \Z_{>0} \to \Z_{>0}$ denote the divisor sum function.

Then:

$\map {\sigma_1} {33} = \map {\sigma_1} {35} = 48$

Proof

From $\sigma_1$ of $33$:

$\map {\sigma_1} {33} = 48$

From $\sigma_1$ of $35$:

$\map {\sigma_1} {35} = 48$

Hence the result.

$\blacksquare$

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $33$