Gregory's ServerJust learned this #mathstodon #math
2024 = 2³+3³+4³+5³+6³+7³+8³+9³
And for next year we'll have the entire sum of cubes from 1 to 9!
2025 = 1³+2³+3³+4³+5³+6³+7³+8³+9³
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20 comments
Let’s also add that null element! \[ 2025 = 0^3 + 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3 \] @Smoljaguar @mretka People born in 1980 turn 45 in the year of their age squared!  @mretka And only happens two more times before the year 10,000, in the years 3025 and 9801!  @ericsfraga @mretka Although we might use the calendar of human history by then instead of Gregorian and skip those years. 🫠 @ericsfraga @mretka Interesting that: 2025 = 1³+2³+3³+4³+5³+6³+7³+8³+9³ and 2025 = (20+25)² @mretka oh, 2025 I'd also 45 squared, and I wanted to give my brother who turns 45 a giant square as a present made from smaller squares... Maybe I will add the cubes as well😅  @mretka And, by a known equality, also (The equality can be stated as "the sum of the cubes of the integers in a range starting from 0 or 1 is the square of the sum of the same integers")  |
@mretka Won't see its like for a thousand years!