Numerical coincidences for 2025
There seem to be a lot of numerical coincidences bouncing around concerning the new year 2025. For example, it’s a square number: \( 2025 = 45^2 \). The last square year was \(44^2 = 1936\), and the next will be \(46^2=2116\).
The other one you have likely seen somewhere is this little gem: that 2025 equals both \((1+2+3+4+5+6+7+8+9)^2\) and \(1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3\).
But there are more – after all, 2025 does appear in over a thousand search results at the OEIS. Here’s a little collection:
Other posts used as sources but also worth checking out: Happy 2025! at Tanya Khovanova’s Math Blog; A Banner Year at Futility Closet. And check out Tom Edgar’s video with two visual proofs of Nicomachus’s Theorem using 2025 as the demo.
$\LaTeX$: You can use LaTeX in your comments. e.g. $ e^{\pi i} $ for inline maths; \[ e^{\pi i} \] for display-mode (on its own line) maths.
