Project Euler
September 24th, 2008
Lately I have been spending a lot of my time on Project Euler. Project Euler is a site with a heap of math problems (209 to be exact) ranging in difficulty. You pick your favourite programming language and try to solve them.
They start of pretty easy:
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
And get very, very hard:
A best approximation to a real number x for the denominator bound d is a rational number r/s (in reduced form) with s
d, so that any rational number p/q which is closer to x than r/s has q
d.
Usually the best approximation to a real number is uniquely determined for all denominator bounds. However, there are some exceptions, e.g. 9/40 has the two best approximations 1/4 and 1/5 for the denominator bound 6. We shall call a real number x ambiguous, if there is at least one denominator bound for which x possesses two best approximations. Clearly, an ambiguous number is necessarily rational.
How many ambiguous numbers x = p/q, 0
x
1/100, are there whose denominator q does not exceed 108?
I’ve done 15 so far. I’ve found that it’s great if your trying to learn a new language. I’m doing mine in python, which I’ve never really used before.
I’m going to start making a few posts about trying to solve them.









April 23rd, 2010 at 9:00 am
Hi, i just thought i’d post furthermore let you know your blogs layout is actually genuinely messed up on the actual K-Melon browser. Anyhow retain up the extremely work.
December 18th, 2011 at 2:56 pm
Hello Blogger! I discovered your website on Google and as a Search engine optimizer I have a tip for you that I think you will find very useful. There is a WordPress download that automatically Search optimizes your website for higher rankings, it’s a 1-click install that’s not expensive at all. It will help you make more money from your website and drive more daily visitors to your pages. Click my name to take a look. Thanks for reading.
January 22nd, 2012 at 2:11 pm
I’d must check with you here. Which is not something I usually do! I take pleasure in reading a submit that can make individuals think. Also, thanks for permitting me to comment!
January 23rd, 2012 at 4:15 am
Your page is the best I have seen for a long time!
January 23rd, 2012 at 8:30 am
Rattling wonderful information can be found on web site. “Politics is applesauce.” by Will Rogers.
January 23rd, 2012 at 1:29 pm
YouTube is world’s largest video sharing web page, no one can defeat it. Every one upload video lessons at YouTube after that get embed code and post anywhere.
January 24th, 2012 at 2:17 am
Magnificent items from you, man. I have take note your stuff prior to and you are simply too excellent. I actually like what you have bought right here, certainly like what you are saying and the best way during which you assert it. You’re making it entertaining and you continue to take care of to stay it wise. I can not wait to read much more from you. This is really a tremendous site.
January 26th, 2012 at 7:45 am
It’s a ncie post buddy.
January 26th, 2012 at 6:48 pm
It’s really a good post.;) Thank you.
January 29th, 2012 at 12:19 pm
Thanks a lot for this splendid article. I really like the website and decided that I might tell you!
Thanks a bunch, Samual Alvares
February 5th, 2012 at 11:04 pm
There is evidently a lot to realize about this. I feel you made certain nice points in features also.
February 6th, 2012 at 1:43 am
“The article’s content rich variety which make us move for our mood after reading this article”
February 6th, 2012 at 12:52 pm
great! many thanks pertaining to offering this data. Since several days by now was looking for that!
February 6th, 2012 at 4:20 pm
Thank you for sharing superb information. Your web site is very cool. I’m impressed by the details that you’ve on this web site. It reveals how nicely you understand this subject. Bookmarked this web page, will come back for more articles.
February 7th, 2012 at 2:46 am
[...]I run a somewhat fashionable celeb gab website, and to remain topical, I use marketplace pulse tools.Your website has been burning up detailed Alexa triggers, and I thought I’d check it out and check into if I could understand what all of the buzz was about.Wish I Could Get The Same Buzz[...]
February 7th, 2012 at 2:54 am
Thanks for this blog post! It’s lovely to see that there are authors who manage to come up with well-researched content on the Web.
May I ask you on which blog I could read more infos about the topic? Thanks!
February 7th, 2012 at 1:59 pm
what on earth are you talking about?
February 7th, 2012 at 9:47 pm
I’m continue studying from you, and I’m educating myself. I really enjoy reading everything that’s written on your site. Keep the articles coming. Really enjoy it!
February 8th, 2012 at 2:43 am
Good day! I know this is kinda off topic nevertheless I’d figured I’d ask. Would you be interested in trading links or maybe guest writing a blog article or vice-versa? My site goes over a lot of the same topics as yours and I think we could greatly benefit from each other. If you are interested feel free to send me an e-mail. I look forward to hearing from you! Fantastic blog by the way!
February 12th, 2012 at 10:30 am
Hello fantastic write-up! Ended up being the need to discover something by using these quality since some time previously. Thank you for this
February 12th, 2012 at 11:13 pm
One other issue is that if you are in a problem where you do not have a cosigner then you may really need to try to make use of all of your financing options. You could find many grants and other scholarship grants that will give you finances to help with university expenses. Many thanks for the post.
February 14th, 2012 at 12:07 pm
I’m really amazed along with the way you place your feelings into phrases. I desire I could create just like you. Good products.
February 15th, 2012 at 12:07 pm
This is my fourth time to your blog, I love it every time!
February 16th, 2012 at 7:22 pm
it is true that put in context, can be seen very well.
February 23rd, 2012 at 3:36 am
Usually I don’t read article on blogs, however I would like to say that this write-up very pressured me to try and do so! Your writing style has been surprised me. Thanks, quite great article.
March 3rd, 2012 at 11:27 am
Thank you for this lines you’ve published! I wish i’d personally have your own expertise regarding writing.. at any rate thank you!
March 9th, 2012 at 12:54 am
Wow cele mai tari jocuri online le gasiti la noi pe website, imi place acest articol , probabil o sa revin sa il mai citesc
March 10th, 2012 at 5:10 am
Gracias a Dios existe el Internet, no saben cuanto trabajo me ha costado encontrar esta información.
March 12th, 2012 at 6:32 am
The very crux of your writing whilst appearing reasonable at first, did not settle properly with me after some time. Someplace within the sentences you actually managed to make me a believer unfortunately just for a very short while. I however have got a problem with your leaps in assumptions and one would do nicely to help fill in all those gaps. If you can accomplish that, I could certainly end up being amazed.
March 13th, 2012 at 6:52 am
Hello, i think that i saw you visited my weblog so i came to “return the favor”.I’m trying to find things to improve my site!I suppose its ok to use a few of your ideas!!
March 28th, 2012 at 6:08 pm
ds site was really awesome
April 4th, 2012 at 4:51 am
always i used to read smaller articles or reviews that as well clear their motive, and that is also happening with this post which I am reading at this time.
April 5th, 2012 at 11:13 am
Thanks , I’ve recently been searching for info about this topic for a while and yours is the greatest I have discovered till now. But, what about the bottom line? Are you positive in regards to the supply?
April 9th, 2012 at 11:05 am
I’m impressed, I must say. Really not often do I encounter a weblog that’s each educative and entertaining, and let me inform you, you’ve gotten hit the nail on the head. Your thought is excellent; the issue is something that not sufficient individuals are talking intelligently about. I am very comfortable that I stumbled across this in my seek for something referring to this.
April 10th, 2012 at 12:18 am
Would love to constantly get updated outstanding site !
April 15th, 2012 at 1:00 pm
I would like to understand your innovative thoughts which have been awesome plus your posting style is also superb! I would really like to learn your following post.
April 16th, 2012 at 5:09 pm
I’m not sure in which you will be getting your info, but wonderful topic. I needs to invest some time learning additional or comprehending much more. Thanks for good data I was in search of this info for my mission.
April 22nd, 2012 at 7:12 pm
Along with the whole thing which seems to be building inside this area, your perspectives are generally quite refreshing. However, I am sorry, but I do not give credence to your whole suggestion, all be it stimulating none the less. It looks to everybody that your remarks are generally not completely
April 24th, 2012 at 7:31 pm
Bail Bonds Los Angeles…
May 11th, 2012 at 5:29 pm
I would like to thank you for the efforts you have put in writing this blog. I’m hoping the same high-grade web site post from you in the future also. Actually your creative writing skills has inspired me to get my own web site going now. Really blogging is spreading its wings and growing rapidly. Your write up is a good example.