You already knew that *The Simpsons* was a smart show, but I bet you didn’t think it was PhD-level mathematics smart. It is.

*The Simpsons* is an institution of animation, comedy, and innovative writing. It’s like the *Frasier* of animated series. That intelligence isn’t a happy accident either — *The Simpsons*‘ writing team is filled with science enthusiasts and mathematicians who, aside from being brilliant comedy writers, constantly sneak high-level math into the show.

Late last year, author Simon Singh published a book loooking into why the show was jam-packed with numeric easter eggs (if you knew where to look). In *The Simpsons and Their Mathematical Secrets*, Singh cites dozens of examples where the writing team’s mathematical background crept into the episodes. This wasn’t really an exercise in science communication, Singh states, it’s more so because brilliant guys like Al Jean — *Simpsons* showrunner who has a mathematics degree from Harvard, which he attended at age 16 — love maths and that bleeds into the shows the team writes.

The kind of mathematics you’ll see during FXX’s current *Simpsons *marathon ranges from a slight nod to references only a professor would pick up. For a simple example, Springfield’sĀ “Googolplex” theaters are named after the mathematical concept of “googol,” or a 1 followed by 100 zeroes. A “googolplex” is 10 to the *power* of googol. That’s a lot of zeroes.

More complicated concepts crop up in episodes like “Marge and Homer Turn a Couple Play” from 2006. As Singh explains at a Google talk, this episode really showed the extreme nerdery of the writing team. Appearing for merely a few frames, the audience attendance jumbotron flashed these numbers:

Those numbers turn out to be incredibly information-dense. **8191** is a prime number, but it is also a “Mersenne Prime,” which account for 10 of the biggest prime numbers that we know of. **8128 **is a “perfect number,” which is a number whose factors all add up to the number itself. **8208 **is a “narcissistic number.” It has four digits, all which you can raise to the 4th power and add together to get the original number. All that math was hidden in just a few frames!

In “Marge in Chains” from 1999, Apu displays his mathematical prowess (he’s a mathematician!) by correctly stating the 40,000th digit of the irrational number pi, which the writers had to work with a NASA mathematician to check.

In the 1998 episode, “Wizard of Evergreen Terrace,” Homer shows off one of the geekiest mathematical insertions into *The Simpsons*. On a blackboard near Homer, again for only a few frames, you can pick out some equations:

But the equation in the middle is where the hidden joke is (and the equation above it is estimating the mass of the Higgs boson, by the way). That is an apparent solution to a once long-standing problem in mathematics dubbed “Fermat’s Last Theorem.” And if you whipped out a simple calculator to check Homer’s work, it seems like he actually solved it! But this is a mathematical joke only a PhD student could love. Homer found a “near miss” solution to the theorem. Singh explains below:

So if you’re catching any of the 522 *Simpsons* episodes that are running on FXX until next Monday, keep an eye out for the mathematics hidden in each episode. When you see just how much nerdy content you’ve been missing you’re liable to shout “D’oh!”

Have a favorite science or math-based *Simpsons* gag? Let us know in the comments.

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IMAGE: Numberphile

There’s actually 552 episodes.

Mine is when Homer got the crayon stuck in his brain and mathematically proved god didn’t exist….Flanders “this is is airtight.”

No Simpsons science/math gag beats my favorite Futurama one: At the racetrack, one race is so close they have to check the finish with a scanning electron microscope, and they declare one horse the winner “in a quantum finish.” Professor Farnsworth, having bet on the other horse yells, “No fair! You changed the outcome by measuring it!”

Bitter old coot? Nope! A scientist who knows about the Observer Effect!

That’s one of my favorite gags from Futurama as well.

RDRR!

The word in the video should be ‘lauded’ NOT ‘loathed.’ In fact, they means pretty much the complete opposite of each other!!

Other than Homer repeatedly referring to The Economist as his “adult” magazines?

In the “Who Shot Mr. Burns” episodes, one of the central themes is that Mr. Burns builds devices to block competition from the sun for his power plant’s energy. The plot line almost exactly parallels a satirical work by 19th-century political philosopher Frederic Bastiat called The Candlemakers’ Petition, in which the hypothetical candlemakers try to get the French government to enact protectionist policies in order to prevent “unfair” competition from the sun.

I’m an economist, so I at least consider this social science relevant.

552 episodes. Not 522.

D’oh!