Perfect Digit-to-Digit Invariant/Examples/3435

Example of Perfect Digit-to-Digit Invariant

$3435$ is a perfect digit-to-digit invariant:

$3435 = 3^3 + 4^4 + 3^3 + 5^5$


Proof

\(\ds \) \(\) \(\ds 3^3 + 4^4 + 3^3 + 5^5\)
\(\ds \) \(=\) \(\ds 27 + 256 + 27 + 3125\)
\(\ds \) \(=\) \(\ds 3435\)

$\blacksquare$


Sources

  • 1966: Joseph S. Madachy: Mathematics on Vacation
  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3435$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3435$
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.