Odd primes

jasong · 2007-10-09, 05:47

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.

Kees · 2007-10-09, 06:20

is this the same as to proof that all numbers are odd ?

Mr. P-1 · 2007-10-09, 06:21

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.

jasong · 2007-10-09, 06:53

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.

retina · 2007-10-09, 07:04

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.

vimil · 2007-11-29, 00:00

All primes are odd but some primes are more odd than others

2007-10-09, 05:47	#1
jasong "Jason Goatcher" Mar 2005 DB1₁₆ 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.

2007-11-29, 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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2007-10-09, 06:20	#2
Kees Dec 2005 2²·7² Posts	is this the same as to proof that all numbers are odd ?

2007-10-09, 07:04	#5
retina Undefined "The unspeakable one" Jun 2006 My evil lair 6,079 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.