2025 is a special year
the journal of Michael Werneburg
twenty-seven years and one million words
Kokubunji, 2025.01.08
One of my colleagues posted this:
Let’s make 2025 a fantastic year! Mathematically it already is.
- It is a special square number: 2025 = 45² where 45 = 20+25.- This is the only square year you will experience. 44² = 1936, 46² = 2116.
- 2025 is the sum of the cubes of the numbers 1 through 9:
1³ + 2³ + 3³ + 4³+ 5³ + 6³ + 7³ + 8³ + 9³= 2025
- 2025 is the square of the sum of the numbers 1 through 9:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)² = 2025
That is the sum of all numbers in the 9 by 9 multiplication table.
You can decompose 2025 in prime numbers as = 3⁴ * 5² or as 1⁶ * 3⁴ * 5² * 7⁰ using all numbers 0 through 7, with ascending odd numbers as base and descending even numbers as exponents.
He linked to the video below.