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 2007-10-09, 05:47 #1 jasong     "Jason Goatcher" Mar 2005 5×701 Posts Odd primes Puzzle: Prove that all primes, including 2, are odd. You have to think outside the box for this one. It is possible to prove, although mathematical purists(snobs?) won't like the proof.
 2007-10-09, 06:20 #2 Kees     Dec 2005 3×5×13 Posts is this the same as to proof that all numbers are odd ?
2007-10-09, 06:21   #3
Mr. P-1

Jun 2003

7×167 Posts

Quote:
 Originally Posted by jasong Puzzle: Prove that all primes, including 2, are odd. You have to think outside the box for this one. It is possible to prove, although mathematical purists(snobs?) won't like the proof.
All primes except 2 are ODD (i.e., not divisible by 2).

2 is the ODD one out.

2007-10-09, 06:53   #4
jasong

"Jason Goatcher"
Mar 2005

5×701 Posts

Quote:
 Originally Posted by Mr. P-1 All primes except 2 are ODD (i.e., not divisible by 2). 2 is the ODD one out.
Well, I'd phrase it a little differently.

All, primes, except 2, are odd. Out of an infinite number of primes, only 2 is even. This makes 2 a very odd prime. Therefore, all primes are odd.

 2007-10-09, 07:04 #5 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 32·647 Posts So it's a play on words. Odd = not even, and Odd = not normal All primes are odd but not necessarily odd in the same way.
 2007-11-29, 00:00 #6 vimil   Nov 2007 3 Posts putting it another way All primes are odd but some primes are more odd than others

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