The easy/silly quiz thread

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MikeG

Guru
Location
Suffolk
Ah but you've implied the proof by induction (or is it contradiction) that there are no uninteresting numbers. If n is the smallest uninteristing number it is therefore immediatly interesting. Thus the 2nd smallest then becomes the smallest uninteresting number - and so on.

:smile: Yet again, therefore, the answer is not n, it is n+1, of which there are an infinite number. :smile:
 
:smile: Yet again, therefore, the answer is not n, it is n+1, of which there are an infinite number. :smile:
But only a countably infinite number.
 

srw

It's a bit more complicated than that...
What's the smallest uninteresting natural number?
3 isn't very interesting. Zero is interesting because it's the identity for addition and destroys numbers using multiplication. One is interesting because it's the identity for multiplication and the generating number for all the rest. Two is quite interesting (but only quite interesting) because it's the basis for parity, which is a reasonably interesting concept. By the time you've got to three, everything gets a bit samey and proper mathematicians have lost interest.
 

Profpointy

Legendary Member
@jefmcg asserted that all primes are interesting, but as any physicist can tell you all odd numbers are prime.

1 is (I suppose) prime, 3's prime, 5's prime, 7's prime, 9 - we'll put that down as experimental error, 11's prime, 13's prime; well, what more do you want ?
 

Tim Hall

Guest
Location
Crawley
@jefmcg asserted that all primes are interesting, but as any physicist can tell you all odd numbers are prime.

1 is (I suppose) prime, 3's prime, 5's prime, 7's prime, 9 - we'll put that down as experimental error, 11's prime, 13's prime; well, what more do you want ?
Time for some xkcd:
number_line.png
 
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