Computational limits Memes

The calculator appears to show that 2 67 + 4 67 = 4 67 = 2.1778071483 × 10 40 , which would seemingly disprove Fermat's Last Theorem. For those who slept through number theory, Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy a n + b n = c n for any integer n > 2. What we're witnessing is just a calculator reaching its computational limits and rounding errors. The difference between these massive numbers is too small for the calculator to display. It's like claiming you've disproven relativity because your bathroom scale doesn't register the mass increase when you run really fast.

Even our fanciest quantum computers are no match for the ultimate computational troll - the Chaitin constant (Ω)! This mathematical beast represents the probability that a random computer program will halt (stop running), and it's literally incomputable . That's right - no matter how advanced your algorithm or quantum setup is, you simply cannot calculate all digits of Ω. It's the mathematical equivalent of dividing by zero while riding a unicorn - theoretically interesting but practically impossible. Computer scientists have nightmares about this number for a reason! The Chaitin constant basically tells us: "Sorry nerds, some things in math will forever remain unknown." It's like the universe's way of saying there are fundamental limits to what we can compute. No wonder mathematicians are swearing at it!

The calculator says 180! = Infinity and mathematicians everywhere are having a meltdown! For those who don't speak math, 180 factorial (180!) is actually a ridiculously huge but finite number—approximately 5.56 × 10 324 . But poor Google Calculator just gave up and called it infinity! It's like when your friend claims they have "like, infinite snacks" but really just has an extra-large bag of Doritos. Technically wrong but spiritually understandable!