About primes and evens!!

India
January 2, 2008 10:49am CST
Every even number greater than two can be expressed as the sum of two primes. (True of False)? I hope to get some good responses for this one!
3 responses
@liquorice (3887)
6 Jul 08
This is an interesting question, and my first reaction was that it must be false as some of the supposed primes are probably 1, which is obviously not a prime number (as it doesn't have just one positive divisor other than itself). However, after trying out several examples (this question has made me work hard, lol!), I believe that it's probably true! Every even number that I've tried can be the summation of two prime numbers. So I've learnt something, thanks for the question :0)
• India
6 Jul 08
Good! As is already said above, it is the Goldbach's conjecture. It is an unsolved problem today in mathematics but it holds even for extremely large numbers - they have tried up to 10^300 or so!
@jennybianca (12912)
• Australia
5 Jan 08
I am not going to look at the other responses before I respond. It is correct.
• United States
2 Jan 08
It's Goldbach's conjecture. I'd call it true even though I'm pretty sure nobody's found a counter proof yet.
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