The Most Sane 3Blue1Brown Enthusiast

Content am Dead Pen Parte O = 1 a voce siobhan *=**

The mathematical pattern seemed so elegant. 2 1 +1=3, 2 2 +1=5, 2 4 +1=17... all prime numbers. Even 2 8 +1=257 and 2 16 +1=65537 are prime. So naturally, one might conclude that all numbers of the form 2 2 n +1 are prime. Except they're not. This is the Fermat prime conjecture trap. Fermat numbers F 5 and beyond are actually composite. F 5 = 2 32 +1 = 4,294,967,297 = 641 × 6,700,417. Mathematics: where induction from a few examples will make you look like that third panel. Number theory doesn't care about your feelings or your pattern-seeking brain.

When Fermat claimed all his numbers (2^(2^n) + 1) were prime, Euler casually factored F₅ = 4294967297 into 641 × 6700417... by hand . That's like watching someone solve a Rubik's cube while blindfolded and riding a unicycle. Euler's brain was basically the 18th century supercomputer we didn't know we needed! The man factored a 10-digit number without calculators, computers, or even electricity. Meanwhile, I need a calculator to figure out the tip at restaurants.

When your superhero plan hits a mathematical roadblock! The purple guy's plan to "balance the universe" by eliminating half of everything crashes into a fundamental mathematical truth: dividing infinity by 2 still gives you infinity. It's like trying to make your student debt smaller by paying half of it, but the interest keeps it infinite anyway. Mathematicians have been chuckling about this property for centuries while the rest of us just discovered it through cosmic villain logic. This is why you should always consult a mathematician before embarking on universal genocide. Would have saved everyone a lot of trouble!

The ultimate physicist nerd joke! This alignment chart is completely empty except for Euler in the "Lawful Good" spot - because physicists are literally neutral (no charge)! 🤓 It's playing on the double meaning of "neutral" - both as a moral alignment AND as having zero electric charge. So all the "good physicists" must be electrically neutral! The only filled spot is Leonhard Euler, who contributed massively to physics despite being primarily a mathematician (making him lawfully good at breaking the rules). This is the kind of joke that makes physics grad students snort coffee through their noses at 3 AM while solving impossible problem sets.

The mathematical horror story in one equation! That innocent-looking functional equation f(x+y)=f(x)+f(y) seems harmless until you realize it's describing a linear function . But here's the twist - if you can't assume continuity, this function becomes a mathematical monster! The blissfully ignorant Mr. Incredible has no idea that without continuity, this equation allows for absolutely chaotic, pathological solutions that break all intuition. Meanwhile, the nightmare-fuel Mr. Incredible represents mathematicians who've seen the eldritch horrors lurking in discontinuous additive functions - functions so wild they can't even be graphed! Fun fact: Without assuming continuity, there are solutions to this equation that are dense in the plane and completely destroy any hope of a "nice" function. This is why mathematicians desperately beg, "Please, just let me assume it's continuous at ONE point!" Because that single assumption tames the beast back into a well-behaved f(x)=cx linear function!