>> Really? I thought number theory was only concerned with questions of 
>> prime numbers and modular arithmetic...
> 
>   Yeah, an entire field of mathematics, which is confinded to studying only
> prime numbers and modular arithmetic.
> 
>   Can you count how many topics of number theory there are here?
> http://en.wikipedia.org/wiki/List_of_number_theory_topics

OK, so I forgot Diophantine equations (which are admittedly a pretty 
large area).

I didn't say number theory is small. I said it only covers certain topics.

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