Towers of Powers | Putnam Mathematical Competition 2018 B3

[@abraham4124]

You‘re a genius bro!

[@letsthinkcritically]

Thank you very much!!

[@quirtt]

Great problem, look forward to some combinatorics problems too. :)

[@letsthinkcritically]

Thank you!!

[@ethanyap8680]

I did something similar but I used a slightly different lemma. I showed that (2^x -1) divides (2^y - 1) only if x divides y. I then similarly used it to show k divides 2^k.

[@Szynkaa]

did exactly same here

[@prithujsarkar2010]

nice problem :D btw could u bring some floor function problems in your upcoming videos ?

[@letsthinkcritically]

Certainly! Will see what can be done.

[@samyakmahapatra9154]

Hmmm

[@Szynkaa]

wohoo, very satysfying to do it myself, however gotta admit your video title was perfect hint :P

[@prathikkannan3324]

Nice!

[@satyamsaurav7005]

Nice problem.

[@letsthinkcritically]

Thank you!!

[@ИбадатЖұмабек]

putnam ??? what ??

[@pratikmaity4315]

It is an undergrad math competition in the US.

[@piyushabhay]

Wolog means??

[@letsthinkcritically]

Without loss of generality

[@yashvardhan2093]

Nice question but I was wondering why did u delete my solution to a problem in the comments

[@letsthinkcritically]

I did not delete anything. Which problem were you referring to?

[@prithujsarkar2010]

@@letsthinkcritically yea i didnt see any comment either , maybe he commented on some other video and forgot lol

[@samyakmahapatra9154]

@@prithujsarkar2010 ohhk piro

[@prithujsarkar2010]

@@samyakmahapatra9154 at least don't boom out here in public yt -_-

[@samyakmahapatra9154]

@@prithujsarkar2010 sorry