2025 is an unusually interesting number for a number of reasons we discuss. 2025 is a perfect square, it is a sum of cubes, it is the square of the sum of consecutive integers, it is the year 45^2 in which those born in 1980 turn 45, and so much more! In most depth we'll discuss spanning trees and the number of spanning trees a complete bipartite graph has. #maths #mathematics
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sources:
https://www.numbersaplenty.com/2025
https://www.reddit.com/r/math/comments/1hq2oia/what_are_the_coolest_facts_about_the_number_2025/
https://mathshistory.st-andrews.ac.uk/Biographies/De_Morgan/
Pearls in Graph Theory by Nora Hartsfield and Gerhard Ringel
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0:00 Intro
0:53 A Square!
2:38 More Squares
4:00 An Old Floutist
5:07 Sum of Cubes
6:45 Multiplication Table
8:01 Cute Factorizations
11:01 1223334444
14:27 Spanning Trees