JotD / QotD Ελληνική Λίστα Κουίζ (QotD)


Θέμα: 1,2,3...LYSH


From: John Kerkines (jkerk(@)arnold.chem.uoa.gr)
Date: Δευ 20 Σεπ 1999 - 15:54:06 EEST


Prohmerwn eixa balei to quiz na ftiaksete me th xrsh twn pshfiwn 1,2 kai 3 apo mia fora mono, kai opoiwndhpote mathimatikwn symbolwn (apo mia fora kai pali) to megalytero dynato arithmo.

Elaba gyrw stis 25 apanthseis me peripou diaforetiko periexomeno h kathe mia. Eprepe na elegxw kathe mia tis apanthseis sas, kathws to quiz phre diaforetikh troph apo ayto poy perimena....

Sthn olh istoria yparxei mia mikrh mpampesia poy bgazei to megalytero noymero apo ola osa anaferate. Parola ayta, egw den hksera poio einai to megalytero noymero xwris mpampesies (basika eixa ypopsh moy to 321!, alla brethikan megalytera).

H swsth lysh einai (3^21)! kai thn esteile mono o A. Gasteratos.

Prospathisa na katataksw tis lyseis poy steilate me ayksanomenh seira. Se parenthesh exw ypologisei poso peripoy isoytai me bash to 2. Exoyme kai leme:

(31!)^2 (2^(2*10^2))

321!      (2^(2*10^3))
3^(21!)   (2^(10^10))
2^(31!)   (2^(10^34))

(21^3)! (2^13)! (symptwsh arage?)
(2^31)! (2^31)! (...profanws!)
(3^21)! (2^33)!

To pws eginan oi proseggistikoi ypologismoi einai poly megalh istoria. An kapoios kalos anthrwpos thelei na eleg3ei tis pra3eis einai eyprosdektos. Elpizw na mhn exei ginei lathos poythena.

Twra, ean xrhsimopoihsei kaneis mono tis tesseris basikes mathimatikes pra3eis, tote o megalyteros arithmos einai o 321 (kamia praksh) kai meta o 21*3=63(to 31*2 isoutai me 62). An xrhsimopoihsei mono paragontika tote einai o 321! kai ean exei mono ekthetes einai o 3^21.

Swsta apanthsan edw oi Kalis, Korbas, Dimopoulos, Vasilakis, Kalatzis (63 oxi 69 giannh) kai Spyros.

Elpizw na mhn ksexasa kanenan, thn allh fora tha eimai pio akribhs se ayto poy rwtaw, giati kai alla paidia apanthsan (kai edw den toys anaferw), nomizontas alla pragmata.

Kai twra h mpampesia...;)

[.1^(-32)]! peripoy iso me (2^100)!

(poy einai to mhden reeeeeeeeeeee) ;)

Filika
Yiannis


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