Comments on: Aiming at distinction http://easyquestion.net/thinkagain/2010/01/29/aiming-at-distinction/ mathematical dialogues aimed to confuse Sat, 11 Feb 2012 07:36:11 +0000 hourly 1 http://wordpress.org/?v=3.3.1 By: mathmom http://easyquestion.net/thinkagain/2010/01/29/aiming-at-distinction/#comment-43216 mathmom Mon, 01 Feb 2010 04:58:02 +0000 http://easyquestion.net/thinkagain/?p=2654#comment-43216 No, it is always even (and greater than 2) if one of the primes is 2, then 2 + oddPrime1 + oddPrime2 (even + odd + odd) is even and 2 * oddPrime1 + oddPrime2 is even and the sum of 2 evens is even if none of the primes is 2, the sum of 3 odd primes is odd, and the product of 3 odd primes is odd (no factor of 2) and the sum of 2 odds is always even No, it is always even (and greater than 2)

if one of the primes is 2, then
2 + oddPrime1 + oddPrime2 (even + odd + odd) is even
and 2 * oddPrime1 + oddPrime2 is even
and the sum of 2 evens is even

if none of the primes is 2, the sum of 3 odd primes is odd, and the product of 3 odd primes is odd (no factor of 2) and the sum of 2 odds is always even

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