The Prisoner of Benda

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Season 6 episode
Broadcast season 7 episode
The Prisoner of Benda
Fry-Zoidberg and Leela-Prof.png
Fry and Leela in Zoidberg's and Farnsworth's bodies.
Production number6ACV10
Written byKen Keeler
Directed byStephen Sandoval
Title captionWhat happens in Cygnus X-1 Stays in Cygnus X-1
Title caption referenceThe phrase "what happens in Vegas stays in Vegas"
First air date19 August, 2010
Broadcast numberS07E10
Title referenceThe Prisoner of Zenda
Nomination(s)Writers Guild of America Award
Animation, 2010, Ken Keeler (won)


Season 6
  1. Rebirth
  2. In-A-Gadda-Da-Leela
  3. Attack of the Killer App
  4. Proposition Infinity
  5. The Duh-Vinci Code
  6. Lethal Inspection
  7. The Late Philip J. Fry
  8. That Darn Katz!
  9. A Clockwork Origin
  10. The Prisoner of Benda
  11. Lrrreconcilable Ndndifferences
  12. The Mutants Are Revolting
  13. The Futurama Holiday Spectacular
  14. The Silence of the Clamps
  15. Möbius Dick
  16. Law and Oracle
  17. Benderama
  18. The Tip of the Zoidberg
  19. Ghost in the Machines
  20. Neutopia
  21. Yo Leela Leela
  22. Fry Am the Egg Man
  23. All the Presidents' Heads
  24. Cold Warriors
  25. Overclockwise
  26. Reincarnation
← Season 5Season 7 →

"The Prisoner of Benda" is the ninety-eighth episode of Futurama, the tenth of the sixth production season and the tenth of the seventh broadcast season. It aired on 19 August, 2010, on Comedy Central. The Professor and Amy are cleaning up a mind-switching machine that switches the crew members' minds, but everything goes haywire and they can't change back.

The story

Act I: "We're just the people this Mind-Switcher was made for by us!"

The Professor and Amy decide to try out The Mind-Switcher.

Bender is watching the news, and finds out that Emperor Nikolai of the Robo-Hungarian Empire is visiting New New York in his yacht, the RMS Overkill. He plans on stealing the Emperor's crown, but he cannot get his co-workers to help him by doing specific jobs (Amy seducing the guards, Zoidberg cutting the alarm wire, and Fry taking the fall). Meanwhile, Amy and the Professor put the finishing touches on the Mind-Switcher. The Professor reveals that he had always wanted to live life to the extreme while he was young, and Amy reveals that she still has that demonic food lust from way back, despite having obtained an elegant figure since 2997. They decide to switch minds, so that the Professor could use Amy's young body to do extreme sports, and Amy could eat all she wants in the Professor's old body, since he was so thin. However, when they try to switch back into their normal bodies, they find out that the Mind-Switcher only works once with the same pair of people. They try to solve this problem by putting Farnsworth's mind in Bender's body, and Bender's mind in Amy's body. However, the Professor realizes that it wouldn't work, and Bender runs off with Amy's body to pull of the heist. Amy finds out that it is difficult to eat with an elderly digestive system, and she convinces Leela to switch bodies with her, so that Leela could get the Professor's senior discount at the movies. Fry is disgusted that Leela is in the Professor, and she claims that Fry is shallow, and had only loved her for her body. Meanwhile, Bender in Amy's body swims to Nikolai's yacht, where he ties up his guard and cousin Basil. However, he is then caught by Nikolai.

Act II: "A man could give her a toke of her own medicine."

Bender in Amy's body proves that he is a Bending robot to Nikolai and Basil. Nikolai reveals to Bender that he had always wanted to live the life of a normal person, without all the fame and fortune of an Emperor. Bender decides to use this to his advantage, by telling him that he could put his mind into his real Bending Unit body, and in exchange, Bender will live the life of an Emperor in Nikolai's body. The two of them go back to Planet Express where Bender finds out that the Professor, who was in Bender's body, ran off to join Circus Roboticus as a daredevil named "Nonchalanto". Needing a robot body for the Emperor to reside in, Bender switches minds with Wash Bucket, and then switches minds with Emperor Nikolai, so that Nikolai had Wash Bucket's body, and Bender had Nikolai's body. Meanwhile, Fry decides to get revenge on Leela by putting himself in a hideous body and prove that she is shallow too. He switches minds with Zoidberg so that now Fry has Zoidberg's body and Zoidberg has Fry's body. Nikolai in Wash Bucket's body thinks that Zoidberg in Fry's body is his human friend as Bender said, and Zoidberg pretends to be Fry so that he could have a companion. Fry in Zoidberg's body confronts Leela in the Professor's body. In order to prove that neither of them are shallow, they both decide to go on a date at Elzar's Fine Cuisine. Leela finds out that her body is getting ruined by Amy, who is making it obese by eating butter. Hermes Conrad agrees to switch bodies with her, so that Hermes would be in Leela's body. Meanwhile, Bender is enjoying life as an Emperor, but is shocked when Nikolai's fiancée Princess Flavia and Basil pull out guns and swords to assassinate him.

Act III: "This is for Big Bertha."

The solution to the problems.

Fry in Zoidberg, and Leela in the Professor go for a meal at Elzar's, both trying to repulse the other as much as possible with their new bodies. They both try to prove to each other that they are not shallow by making out on the table at the restaurant, as Amy in Hermes' body, and many others, watch. Meanwhile, Fry's real body, occupied by Zoidberg, takes Nikolai in Wash Bucket's body to Fry and Bender's apartment, despite the fact that neither of them had ever been there. Zoidberg's unfamiliarity with normal living conditions leads him to pull out a stove, creating a gas leak. Nikolai asks Zoidberg to light his cigar and they blow up the apartment. As this is happening, Bender in Nikolai's body manages to get back to the mainland of New New York, with Basil and Flavia shooting at him from behind. He is chased into the United Nations building where Nikolai was supposed to give a speech. However, Basil runs in after him with a sword and attacks him on live television. Meanwhile, Wash Bucket in Amy's body finds Scruffy in his quarters and confesses her love to him. She wants the two of them to move to another city and live together, but Scruffy says no, because in the back of their minds they would know that it wouldn't be right. Professor Farnsworth, still in Bender at the Circus Roboticus, watches the fight at the UN on the TV Robot. He wants to help Bender, but cannot get there in time. A howitzer named Big Bertha volunteers to shoot him there, but is badly injured because of the size of Bender's body. The Professor lands on the United Nations building roof. With his own sword, he starts a swordfight with Basil before he could do any harm to Bender in Nikolai. Meanwhile, the making out of Fry and Leela, in Zoidberg and the Professor, had moved back to Leela's place. After having sex, the two of them are surprised to see Bender's body fighting with Basil on TV. The Professor in Bender's body wins by opening his door and revealing twenty Robot Clowns, all wielding swords of their own, and they kill Basil. Later, at Planet Express, Bubblegum Tate and Sweet Clyde use math to find out a way to get everyone in their original bodies, as shown below. They use it and the episode ends with everyone back to normal and Bender realizing that he left the real crown in Nikolai's compartment.


The final page of the production script of the episode.

According to David X. Cohen, writer Ken Keeler penned a theorem (and proof thereof) based on group theory, then used it to explain a plot twist in this episode.[1]

Writer Eric Rogers calls "The Prisoner of Benda" his favorite Futurama episode alongside "Jurassic Bark", "because it may be the epitome of what this series attempts to do every week: the perfect blend of science fiction and bust-a-gut humor".[2]

The Futurama theorem

Main article: Futurama theorem

The Futurama theorem is a real-life theorem invented purely for use in this episode. It proves that regardless of how many mind switches have been made, they can still all be restored to their original bodies using only two extra people, provided these two people have not had any mind switches prior.

The theorem was proven by writer Ken Keeler, who holds a PhD in applied mathematics, and he claims they included it to popularize math among young people. The Futurama theorem is also the first known theorem to be created for the sole purpose of entertainment in a TV show.


In its original American broadcast, "The Prisoner of Benda" was viewed by an estimated 1.774 million households, down 150,000 viewers since "A Clockwork Origin" [3].

This episode was named #13 on IGN's list of top 25 Futurama episodes.

Additional Info


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  • The title of the episode and Bender's plot of posing as an emperor is a reference to the 1894 novel The Prisoner of Zenda (as well as its numerous adaptions).
  • The title caption refers to:
  • Leela makes several mentions of Nicolas Cage movies, possibly the National Treasure series and the Astro Boy movie.
  • The shape of Emperor Nikolai's crown is loosely based on an actual Hungarian crown jewel, the Holy Crown of Hungary.
  • Bender in Amy's body convinces Emperor Nikolai that he is a robot by dancing Michael Jackson's famous Moonwalk.
  • In order to show that he is a robot, Bender, in Amy's body, tells Emperor Nikolai to ask him something only a robot would know. This is referred to as a Reverse Turing Test and is a reference to the Turing Test, in which person tries to distinguish between a machine and a human by asking questions.
  • Hermes says that Amy (in the body of Leela) "makes Fat Albert look like normal Albert". This may also be a callback to Fry's line, "He makes Speedy Gonzales look like regular Gonzales" from the episode "War Is the H-Word".
  • Big Bertha, a robot with a cannon stomach, is a reference to the German Big Bertha howitzer.
  • The idea of one-way-mind-swapping-machine is very similar to the one in the Stargate SG-1 Season Two episode "Holiday". However, in that instance, the limitation was a feature of the machine's design rather than the bodies' development of a resistance.
  • The concept of a member of royalty temporarily switching lives with an ordinary person is similar to the story The Prince and the Pauper.
  • The UN Conference is portrayed as nightclub act in Vegas with the opening act delivered by "Peaches and Herzegovina" which is a play on both the name of Eastern European nation Bosnia and Herzegovina and American disco/soul duo "Peaches & Herb".
  • An occurrence of mind switching was seen in the original Star Trek series in a third season episode called "Turnabout Intruder". James T. Kirk's body is forcefully taken by Dr. Janice Lester (a former lover of Kirk's) and Kirk is forced to use Lester's body to convince the crew members of the mind change. Among other issues, Lester's and Kirk's voices remain in their respective bodies, so swaying crew members' beliefs of the switch proves difficult.
  • Leela parodies the lyrics of the spoken intro of Sir Mix-a-Lot's "Baby got back" when she talks about her eye.


  • This is the third episode of Season 6 to use a cold opening (alongside "Rebirth" and "That Darn Katz!"). Cold openings were previously used most prominently in Seasons 1 and 2.
  • When Amy (in the Professor's body) is eating ribs, she says "I have died" in Cantonese.
  • When Bender (in Nikolai's body) says "Hello Baby," he's imitating the beginning line of Chantilly Lace by The Big Bopper.
  • The sign outside Elzar's says "rack of lamprey". Lampreys have a cartilagenous skeleton, therefore lacking a proper "rack".


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    [Amy and the Professor have just learned that they are stuck in their borrowed bodies.]
    Amy: [In Farnsworth's body.] Oh no! Is it possible to get everyone back to normal using four or more bodies?
    Farnsworth: [In Bender's body.] I'm not sure. I'm afraid we need to use... MATH.

    Scruffy: Miss Wong?
    Wash bucket: [In Amy's body.] No, Scruffy, I am wash bucket. I love you. Wash bucket has always loved you. [They kiss but Scruffy pulls away.]
    Scruffy: It's wrong, wash bucket. Oh, it would be sweet for a while, but in the back of our minds, we'd know that I'm a man and you're janitorial equipment.
    Wash bucket: [In Amy's body.] In another city, we could be anyone we want!
    Scruffy: Go. Go now, before I beg you to stay.
    [She leaves. Scruffy lays down on his bed, sobbing for a second.]
    Scruffy: Yep.

    Farnsworth: There. This time I'm sure I've fixed the mind-switcher.
    Amy: Good, I'm sick of cleaning up those heaps of dead monkeys.

    Amy: I wasted my youth porking out.
    Farnsworth: Yes, I remember. [He points to a picture of a fat Amy, captioned "2997 employee of the year".]
    Amy: Would you please take that down? It's making me hungry.

    Farnsworth: [In Amy's body.] Dude, I bid you a fond cowabunga!

    Fry: So now Leela's all crotchety because she thinks I'm not attracted to her in the Professor's body.
    Hermes: You aren't, are you?
    Fry: Of course not! But I was willing to lie about it.

    Zoidberg: Friends! Friends! I've got barnacles on my tuchus!

    Leela: [In Farnsworth's body.] Admit it! You don't care about the inner me at all!
    Fry: [In Zoidberg's body.] No, you admit it! You'd be ashamed to be seen in public with someone as hideous as me!
    Leela: [In Farnsworth's body.] Would not!
    Fry: [In Zoidberg's body.] Oh, yeah? Then I challenge you to a romantic date at Elzar's tonight.

    Hermes: Sweet orca of Majorca! You make Fat Albert look like Normal Albert!

    Leela: [In Farnsworth's body.] Oh, did my bodily infirmity embarrass you?
    Fry: [In Zoidberg's body.] Not at all. It's just another thing that makes you a very special lady.
    Leela: [In Farnsworth's body.] You mean, like my penis?

    Zoidberg: [In Fry's body.] A floor? We live like kings?

    Nixon: Please welcome an insane dictator, and one heck of a bowler, Emperor Nikolai!

    Amy: [In Hermes' body.] Well, there I was at Elzar's, eating a nice pork sundae and suddenly, I just lost my appetite. [Leela strokes Fry's mouth flaps.] Forever.

    Farnsworth: [in Bender's body] This is for Big Bertha! (lunges forward only to end up getting his sword stuck in a wall) That is not what I meant to give you for Big Bertha.


  • This is the third time Leela has shown concern about her eye, the previous being "The Cyber House Rules" and "Bender's Big Score".
  • Yet again Amy's childhood obesity is a theme, previously mentioned in episodes such as "Teenage Mutant Leela's Hurdles" and "Into the Wild Green Yonder".
  • Bender claims he is sixty percent storage space. A recurring joke is that someone claims Bender is a certain percent of something, with the total by now adding up to much more than 100%.
  • Fry seems to be excited by the idea of Leela's mind in Amy's body, a revisiting to the Fry-Amy relationship.
  • The Professor calls Bender's body invincible, though only a few episodes earlier ("Lethal Inspection") we found out that it wasn't.
    • Of course, in comparison to the Professor's old and decrepit body, he may be feeling like he is invincible in Bender's (as it can certainly stand up to much more punishment than his own 170+ -years-old body). It could simply be a matter of perception, not actual "invincibility".
    • If you remember, in "Rebirth", Bender was blown up by one of the Professor's doomsday devices. He also had 2 bombs detonate inside his compartment in "War Is the H-Word". Another display of the bending units durability is in "Bendless Love", Flexo was crushed under an unbendable girder and later stated that if he had remained crushed he would have died in hundreds of years, proving that the bending units are very near invincible. The only known way being via his self-destruct button which is located on his body as revealed in "A Head in the Polls" or the destruct code revealed in "Where No Fan Has Gone Before".
  • The episode brings a big step in the Fry-Leela relationship, as they have sex for the first time known, though it should be noted that neither is in their own body at the time.
    • This is the first time the two have had intercourse in canon, but in "Anthology of Interest I", during the simulation "Dial L For Leela", Leela was forced to keep Fry silent about the recent murders she committed by having sex with Fry, while in their own bodies. However, "Anthology Of Interest I" can't be regarded as canon as it was during a "what-if" scenario.
    • In "Time Keeps on Slippin'" Fry and Leela married and divorced. It is possible they consummated their union prior to the wedding, though the time-slips prevented them from remembering.
  • The Professor is shown using a mind-switching device back in Bender's Game, but since he is seen here as having just completed it, he must have still been testing it (and subsequently killing monkeys) back then. Though this device remained attached to the monkey and the Professor the whole time. This may not have been actual mind transference, or this may have been a prototype device.
  • In "Bendless Love" Bender claims to remember his own birth, having been built "four years ago" in 2998. Later in "Lethal Inspection"; a very different construction of Bender is remembered by Hermes. Although no year is given, Hermes looks like he did at the 2980 Olympics. This episode shows that Hermes, having gained weight and cut his hair, was employed at Planet Express and was employee of the year in 2993, 2994, 2996 and 2998. Bender also confirmed not remembering seeing Hermes as Inspector #5. Therefore we can conclude that the events of "Lethal Inspection" occurred prior to 2993 or early in that year, Bender does not remember his real birth and Bending Units of his model were, for reasons unknown, built in two or more phases with core components, such as the backup unit, being retained during an upgrade to a larger and possibly more specialised body.
  • Amy is shown as Planet Express Employee of The Year in 2992 and 2997, but she has only been the Professor's intern since 2998.
    • Amy could have been working as a different employee for him before becoming his intern.
  • Someone in the crowd shouts, "I LOVE YOU, YOUR MAJESTY!!!" Bender, in the Emperor's body, replies, "Shut up, Madame Ambassador, I know it." This is a callback to a similar gag in "Put Your Head on My Shoulders".
  • Bender says that he has always dreamed of becoming an Emperor. This may explain why he dressed up himself as Napoleon in "Insane in the Mainframe".


  • Apartment 00100100, Fry and Bender's place, looks much different from earlier appearances (as in "The Late Philip J. Fry"). While previously being a small apartment (Bender's room) with a giant sideroom (Fry's), it now does not have the small apartment and it includes a kitchen. (The kitchen had been seen previously, such as in Bender's Game.)
    • It is possible that it was among the buildings destroyed to create the panda preserve in Bender's Big Score, then rebuilt to different specifications.
  • When Dr. Zoidberg (in Fry's body) and Emperor Nikolai (in the wash bucket's body) are back in Apartment 00100100, they ignite gas and blow it up. Both of the bodies would be incinerated in the ensuing explosion, but both are seen later in the episode uninjured and unaffected.
  • When Bertha is wheeling away after the first time the Professor, in Bender's body, propositions switching to a younger body, only one of her wheels are actually turning. The one furthest from the viewer is stationary, while the other is not.
  • It was established in the episode "Why Must I Be a Crustacean in Love" that, once a male Decapodian releases his male jelly, he dies. However, in this episode, Fry, who was in Zoidberg's body, wound up having intercourse with Leela, who was in the Professor's body, and did not die.
    • It could be that, to die, a Decapodian needs to mate with another Decapodian.
    • It could be that, Leela was keen to use her new appendage, therefore it would be Farnsworth's male jelly, not Zoidberg's, that was released.
    • Mating and having sex are not necessarily the same thing for all species. The releasing of male jelly might be voluntary.
    • Zoidberg's male jelly may only be produced during his mating season. Making it so that there was nothing to release. As for the male jelly in "Why Must I Be a Crustacean in Love", his body probably broke it down and reabsorbed it as in nature.
    • Zoidberg claims to have fertilized the caviar in "Where the Buggalo Roam".
  • When finishing the proof, Sweet Clyde is shown to wear glasses however in the remaining shots of the episodes these glasses never appear again.
    • So they're reading glasses.
  • After everyone swaps back into their original bodies, Hermes is as fat as usual.
    • Given how abnormally fast he lost the weight originally, he could have gained it back just as fast.
  • The proof contains a minor typo: instead of "For any i=1 ... k" it should read "For any i=1 ... k-1". The algorithm fails for i=k, but this does not affect the validity of the proof.
  • When Zoidberg (in Fry's body) rips the oven out of the wall, the pipe that leaks gas is blue, yet when Nikolai (in Washbucket's body) goes to the cupboard for a cigar, the pipe is silver and seems much smaller. The pipe is blue yet again when it cuts back to the full shot of the kitchen.
  • When Bender is shot out of Big Bertha, 3 of the Robot Clowns are shown next to Bertha, but the same 3 Clowns pop out from Bender, when he's fighting Basil


(In alphabetic order)

Episode Credits


  1. ^ "In an APS News exclusive, Cohen reveals for the first time that in the 10th episode of the upcoming season, tentatively entitled "The Prisoner of Benda", a theorem based on group theory was specifically written (and proven!) by staffer/PhD mathematician Ken Keeler to explain a plot twist."
    Levine, Alaina G.. "Profiles in Versatility:". American Physics Society. Retrieved on 15 May 2010.
  2. ^ [ CGEF Interview with Eric Rogers]
  3. ^ [1]