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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
2 years, 8 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!!! Krishna Ar · 2 years, 8 months ago

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@Krishna Ar Oh it's one of my school problems :D Victor Loh · 2 years, 8 months ago

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@Victor Loh How come a TNMO problem is a Raffles'Problem? Do they teach you such advanced math at 12? I'm amazed. Krishna Ar · 2 years, 8 months ago

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@Krishna Ar I'm in a special pull-out class where we learn harder math than the mainstream students :) Victor Loh · 2 years, 8 months ago

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@Victor Loh 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 Krishna Ar · 2 years, 8 months ago

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