# Interesting :)

Show that $$3^{2008}+4^{2009}$$ can be written as a product of two positive integers each of which is larger than $$2009^{182}$$.

Note by Victor Loh
3 years, 11 months ago

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Sophie Germain. Sorry that I didnt post a proof but I guess its easy to proceed once you write it as $$a^{4}+4b^{4}$$ By the way, I am curious- Where did you get this from @Victor Loh ? This same problem appeared in TNMO-2009!! Whoa!!! I am supercurious!!!

- 3 years, 11 months ago

Oh it's one of my school problems :D

- 3 years, 11 months ago

How come a TNMO problem is a Raffles'Problem? Do they teach you such advanced math at 12? I'm amazed.

- 3 years, 11 months ago

I'm in a special pull-out class where we learn harder math than the mainstream students :)

- 3 years, 11 months ago

Lucky~!!!! You!!!. I sneak in the higher math books through my boring school classes and the next few days are gonna have more of'em :O :P

- 3 years, 11 months ago