Perfect Digital Invariant/Examples/4150

Example of Perfect Digital Invariant

$4150 = 4^5 + 1^5 + 5^5 + 0^5$

Proof

\(\ds 4150\)

\(=\)

\(\ds 1024 + 1 + 3125 = 0\)

\(\ds \)

\(=\)

\(\ds 4^5 + 1^5 + 5^5 + 0^5\)

$\blacksquare$

Historical Note

In his Curious and Interesting Numbers, 2nd ed. of $1997$, David Wells attributes this result to a certain Lehning, but gives no context.

It remains to identify who this is.

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $4150$

• Weisstein, Eric W. "Narcissistic Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NarcissisticNumber.html