by Jonathan Kujawa

The humble 2. It’s not big, like the Brobdingnagian numbers. It’s not nothing, like zero. It’s not the first something, like one. It’s hard to imagine much can be said about the unremarkable two.
Of course, Covid gave us a newfound appreciation for the power of exponential doubling. If you know of a novel disease and have 3 cases yesterday, 6 cases today, and are told to expect 12 cases tomorrow, it is quite something to predict close to zero new cases by April. But I’m just a simple mathematician who finds pulling random numbers from my rear end uncomfortable.
A happier, if apocryphal, tale is about the invention of chess. The story goes back to at least the 11th century: a clever courtier invents chess and presents it to their king. The king so loves the new game that he offers to give the courtier whatever they request. The courtier says that they’d like one piece of wheat for the first square of the chessboard, another two pieces for the second square, another four pieces for the third square, another 8 pieces for the fourth square, and so on for the 64 squares of an 8 x 8 chessboard.

18,446,744,073,709,551,615
grains of wheat for the courtier. That seems like a lot to count and you might rather weigh it out. Even then, it’ll be some work. After all, we’re talking about something like 18,446,744,000 metric tons.
A riddle loved and hated by students when they first learn about the prime numbers is: “What is the oddest prime?”. Sure to generate groans, the answer, of course, is two. Why the oddest? Being the only even prime makes two the black sheep among the primes.
On a questionably more serious note, the largest prime numbers are found using powers of two. As we talked about here at 3QD, last October the Great Internet Mersenne Prime Search announced that
2136279841-1
is the largest prime number known to humankind. It has 41,024,320 digits. Printing it out would take an 8,000 page book if you wanted to carry it around with you. Read more »

Stephanie Morisette. Hybrid Drone/Bird, 2024.



In his inaugural speech on 20 January 2025, Donald Trump jumped into the fray on the contentious issues of gender identity and sex when he announced that his administration would recognise “only two genders – male and female”. At this point there is no conceptual clarity on his understanding of the contested issues of ‘gender’ and ‘male and female’, but we do not have to wait too long before he clarifies his position. His executive order, ‘Defending Women from Gender Ideology Extremists and Restoring Biological Truth to Federal Government’ signed by him soon after the official formalities of his inauguration were completed, sets out the official working definitions to be implemented under his administration.


If you had to design the perfect neighbor to the United States, it would be hard to do better than Canada. Canadians speak the same language, subscribe to the ideals of democracy and human rights, have been good trading partners, and almost always support us on the international stage. Watching our foolish president try to destroy that relationship has been embarrassing and maddening. In case you’ve entirely tuned out the news—and I wouldn’t blame you if you have—Trump has threatened to make Canada the 51st state and took to calling Prime Minister Trudeau, Governor Trudeau.





