I just saw somebody on mastodon share this fact, and I wanted to share it here too :))

It can be explained by the follow:

2025 = 2024 + 1

2025 = 45²

45 = 1 + 2 + … + 9

(1 + … + n)² = 1³ + … + n³

and since 1³ is just one, we get the above equation for 2024 :))

This also means that next year will be even nicer, as it will include the 1³ :))

Do you have any other interesting facts about 2024 ? :))

The best name I’ve found for the last formula is just “Sum of consecutive cubes”. I had never heard about that relation before, it really is bizare how math is connected sometimes :))