Mmmmm....that's a variation on a theme of one of the great "open" questions in mathematics...!!!
It's known as The Goldbach Conjecture and it states that every positive even integer can be expressed as the sum of two primes (maybe in more than one way, too. For instance, 24 = 19+5 = 13+11). As yet, it's never been proved.........
As to your specific question, I'm not sure that's been proved, either......but maybe someone else on this site would have more information!!!!
A mathematician by the name of Lagrange did prove that every "natural" number could be written as a sum of four squares.........
Here's a link to Goldbach' Conjecture which you might find of interest :
http://en.wikipedia.org/wiki/Goldbach%27s_conjecture
It's called "Desmos Graphing Calculator," ND......easy to use.......here's the link :
https://www.desmos.com/calculator
You can use the Tiny Pic upload service to transfer a pic into a question....there are some instructions on how to do this in the "Information for New People" under the "Sticky Topics"......don't worry.... if I can do it, ANYONE can !!
@@ End of Day Wrap - Sat 14/6/14 Sydney, Australia Time 9:35pm
Good Evening all, some of you live in slow places and the sun has not yet set, but I assure you, a good evening awaits.
It was a quiet day today. I am definitely not complaining! Bring on more days like this so that I can catch my breath!
There were still lots of good answers delivered by reinout-g, NinjaDevo, Will85237, Alan, Rosala, CPhill, Bertie and Bahamo. Thanks guys, you are all much appreciated.
Bahamo is new. Welcome to web2.0calc forum. We hope you learn a lot and enjoy yourself here.
I spent a little time this evening cleaning up Sticky Notes. They are a little improved but this area definitely need more time spent on it. Some of the content is from the old forum and does not display properly. Some content needs to be deleted or updated. I did 'unstick' a couple of obsolete posts and I amalgamated a couple more but there is still much to do. Andre was 'threatening' to reduce the number of sticky topics possible. I do not like this idea but he is right, they do need to be tended properly.
Yesterday I was asked to put together a note to new question askers requesting that they be very careful about the presentation of their questions. I did that, maybe it was in my wrap yesterday, I don't remember. Anyway, I was then asked if something like this could be permanently 'stuck' to the top of the posted questions. I do not have the power to do this but I think it should go into my next letter to Andre Massow (site owner and developer) Does everyone think that this is a good idea? Can anyone offer more input. Would someone other than me like to write it? I have put up a first draft (on the forum)but I also found an old similar post in the ignored sticky topics. In some ways the old one is better than the new. They need to be amalgamated and tidied up.
I have started a sticky note information thread for new people. (It is just a start)
http://web2.0calc.com/questions/information-for-new-people
I also want to remind people of the Sticky Topic "Information Pages worth Keeping and Developing". Once again this thread needs some loving care but I add to it regularly, and I use references from it even more regularly. I think it would be beneficial if answerers familiarise themselves with its content.
These are some of the interesting post from today.
What is the value of pi
I have added this one's address to the sticky topic "Information pages worth keeping or developing"
http://web2.0calc.com/questions/what-is-the-value-of-pi
This might interest some people
http://web2.0calc.com/questions/cot-sin-1-2-3
I liked this one - a great answer from an anonymous person.
http://web2.0calc.com/questions/how-do-you-do-volume
I do believe that is it for today. Enjoy your weekend.
Melody.