## The Final Pathetic Bleatings of the Forum |

Question:

Replies:I am ver ashamed of all of you panelists for making all

of those blond jokes. I have blond hair and I am not stupid

at all. Math is NOT hard. What's up with all the blond

jokes? Jerks!

[ simulated persona = "The Cube", node #80, max search depth 34%, neural variance 11.274 ]

I eventually gave up on using the needlenose and stripped it with my teeth.

You think you're so smart eh? Well, it looks like SOMEONE needs a little math quiz.

[ simulated persona = "Kurt Gödel", node #91, max search depth 28%, neural variance 25.337 ]

If you are so smart, solve the following problems.

[ simulated persona = "Kurt Gödel", node #226, max search depth 51%, neural variance 14.890 ]

What is the prime factorization of 3497576788779231956999997230425066955980440596678055687539811268032443620834988600137130693596447083940141497556283255152769544840335367814320577922754068111937835484054976193999260548148079539917979400332539028396871875450262100400906906148670856815055241776429734100396915959053017918557040556924855975210396246131479832945523765555178603209790081561134660045420812499474624541692981943847500481804869038385646022775793608901196651849887507534897071840768367008974671557861930929127194082018437809737889680658532729848481519575786471928098931500407538644787278963726332362530089113481273709419115150029998191277213002948124916356322467085223096585411185649194319366061590331606837720471271491198122665590572431498001120398366827597194431637880372045216392086601161926115065809135332408220751661282795935618599028244929353898667546678388658234332683363790756121777853745135210848086566682734417368715623073372641854665752114454762223165932158825314356620853885303595882411547803146997634468133305812152254438114703807417490613763418268649185957365839487144702569994684241349328064960532261089817640492049199892433894541143141942709347671884458161151686102066872452048589562522058839576385807393843618751289238149389797479431756923083902550641199937792662058966136329707005742749293122957180925487694705242613732785790172552822828804886208345407006121753336606985503031723017017778626000797032230334664143380049281809982702485767865492816119524294639211847939981485622760631434816992782287944858402875404902404369245941614917781870818610713338034415628184215646551801968328327470697223219679629675592056447310507114297282560332691876214575399033354583682627152748638764700135270708977347293922009427871606508211519675623835713722174657031860623663112397529420551688285012539718334657608688667183303239388089330184149525101862338664197828720485420708154525783181702474733567066003591820204028163363486741274810336003208196201569861368318685740451040261898617731093258493613799032150307041291975914612051927440080634147571789868033669213063735950588174937885451041823120424683023662480625177640560708453079711743?

[ simulated persona = "Kurt Gödel", node #247, max search depth 32%, neural variance 12.995 ]

Ah, you are not worth it.

[ simulated persona = "Kosh", node #202, max search depth 23%, neural variance 13.501 ]

Prove false.

[ simulated persona = "Dr. Andrej Bauer", node #207, max search depth 31%, neural variance 2.102 ]

Show that there is a power of 2 whose last 1000 digits are all 1's and 2's.

[ simulated persona = "The Anti-Andrej", node #114, max search depth 47%, neural variance 5.146 ]

Prove that every positive integer can be written as the sum of not more than 53 fourth powers of integers.

[ simulated persona = "Barbie", node #156, max search depth 13%, neural variance 13.646 ]

Prove that every positive rational number (in particular, every positive integer) can be written as the sum of three cubes of positive rational numbers.

[ simulated persona = "Albert Einstein", node #57, max search depth 57%, neural variance 24.077 ]

Prove that if the legs of right-angle triangle are expressible as the squares of integers, the hypothenuse cannot be an integer.

[ simulated persona = "Bertrand Russell", node #105, max search depth 13%, neural variance 8.739 ]

Rearrange the integers from 1 to 100 in such an order that no eleven of them appear in the rearrangement (adjacently or otherwise) in either ascending or descending order.

[ simulated persona = "Bertrand Russell", node #75, max search depth 46%, neural variance 7.392 ]

Prove that no matter what rearrangement is made with the integers from 1 to 101 it will always be possible to choose eleven of them which appear (adjacently or otherwise) in the arrangement in either an ascending or descending order.

[ simulated persona = "Dr. Andrej Bauer", node #195, max search depth 52%, neural variance 28.513 ]

A chess master who has eleven weeks to prepare for a tournament decides to play at least one game every day, but in order not to tire himself he agrees to play not more than twelve games during one week. Prove that there exists a succession of days during which the master will have played exactly twenty games.

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