Rules:
1. Try to get every number, from 1 to 100 using the digits of this new year (2025).
2. In your turn [each student], say a number from 1 to 100 and then, the operation that allows you to get that number.
3. All the digits in 2025 must appear once in the operation.
4. It is allowed any math operation you might know.
You get a possitive for every number you get if someone did't get it before. But, if you get the same number than your mate with the digits 2 0 2 5 sorted, you take that possitive from your mate.
Below you can find some Math curiosities about 2025.
2025 is a great number for Maths:
It’s a square (45²), the sum of two squares (27² + 36²), the product of two squares (9² × 5²), and the sum of three squares (40² + 20² + 5²).
It’s the sum of the cubes of the first nine positive integers (1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 83 + 93).
Equivalently, it’s the square of the sum of those integers (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)². (This is Nicomacus' Theorem).
It’s one of only three four-digit numbers whose halves can be split, summed, and squared to produce the original number: (20 + 25)² = 2025.
It’s the sum of the entries in a 9×9 multiplication table.
July 24, 7/24/25, will be a “Pythagorean day,” because 7² + 24² = 25².
When asked his age, Augustus De Morgan used to say, “I was x years of age in the year x².” (He was 43 in 1849.) People born in 1980 will be able to make the same cryptic response starting next year.
Source: Futility closet.
Did you know that in a meeting of 24 people you can make 2024 different groups of 3 people? Also, 2024 is a tetrahedral number.
2021 = 43 * 47, 43 and 47 are consecutive primes and also cousin primes (47-43=4). Nobody knows if there are an infinite set of cousin primes. Is there anything else special about this number?
¿Cuál es más grande, 2019^2020 o 2020^2019?