Consecutive Integers with Same Divisor Sum/Examples/14

Example of Consecutive Integers with Same Divisor Sum

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

Then:

$\map {\sigma_1} {14} = \map {\sigma_1} {15} = 24$

Proof

From $\sigma_1$ of $14$:

$\map {\sigma_1} {14} = 24$

From $\sigma_1$ of $15$:

$\map {\sigma_1} {15} = 24$

Hence the result.

$\blacksquare$

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $14$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $14$