Thanks Robert,

Also a note to modify my line to

for i from 1 to 200 while ithprime(i)<500 do end do; i-1;
                                          95

And the numtheory pi() command is exactly was I was meaning in the above. 
I suppose one could use

for i from 1 to infinity while ithprime(i)<500 do end do; i-1;

which would eliminate the need to even guess a number to choose.  Of course as Robert pointed out using numtheory is much more efficient, it's roughly 10x's faster.

Thanks Robert,

Also a note to modify my line to

for i from 1 to 200 while ithprime(i)<500 do end do; i-1;
                                          95

And the numtheory pi() command is exactly was I was meaning in the above. 
I suppose one could use

for i from 1 to infinity while ithprime(i)<500 do end do; i-1;

which would eliminate the need to even guess a number to choose.  Of course as Robert pointed out using numtheory is much more efficient, it's roughly 10x's faster.

Yes I realize that the very next draw has absolutely no dependency on the numbers drawn before it.  Drawing the exact same set of numbers has exactly the same probabitity of coming up again.  Which is the fallacy trap many people fall into when seeing that the number .. I don't know ... say for example 13 hardly every gets drawn in April as shown on the stats website.  So one would think to increase their odds by not playing the number 13 in April.  They are fun facts and nothing more than someone trying to show you that there is a way to increase your odds, ironically it appears that's what I was doing. 

I think you're waiting for me to say however... so I will.  However if you had a draw where, as you pointed out, had spoiled the number 25 in every draw.  Could that be coincidence?  If it ever did happen, randomly, would people believe something is wrong?  Most likely fixed but if it was random that would be quite a coincidence, eh?

So if someone happens to roll a 4, nine times in a row (however exceedingly small that probability is) on a six sided die, it's quite funny that people would tend to agree that the very next roll would not be a 4 even though the previous rolls have no bearing on what would dictate the next roll would become.  Ironically knowing that the die had rolled nine 4's beforehand changes your choice.  So the very act of measuring it changes your expectations of the outcome ... hmm that's starting to sound like some quantum weirdness.  Sorry that I have digressed from the Maple randomness topic at hand. 

So back to the topic at hand I would like to see how someone would go about detecting some deviation from randomness.

Actually I just had a little brainlock, a stressful day or lack of sleep will make one's thinking a lot harder.  Luckily the weekend is here, Happy Thanksgiving everyone! 

So without ruining a solution to what could be the authors homework question I will delay a solution.  As for the question I asked above I'd be interested in knowing if there were alternates.

Is it also possible to use randomness to your advantage?

The 649 for example.  The odds of selecting all winning 6 numbers in any order is 13,983,816:1   It's probably safe to say that the very next draw will not contain those exact same numbers.  In fact in a completely random scenario case those exact same numbers will most likely appear again, most likely, sometime in the next 13,983,816 draws, we just don't know when.  (If not please correct my logic)

I'm pretty sure we haven't had that many draws in the 649.  I'm also pretty sure that no 649 draws have ever produced a duplicate result.  So it might be a safe venture to remove all the combinations that have ever been drawn to decide your next set of 649 numbers. 

The game started June 12, 1982, which means roughly 2944 draws have been made to this day.  Now 649 has probably changed the way they've drawn the numbers a couple of times over the years.  - sidebar-  I wonder if that could be detected in the results?  Having just slightly less than 3000 draws it's probably unlikely to show up in any calculations, the sample size would be too small.  It would almost be like trying to decode a polyalphabetic cipher, so if they changed the drawing twice in the last 28 years there would be 3 sets of random groups in the draws. 

But by taking the likely event that one of those 2944 draws will not show up in tomorrow nights draw as fact, you would have a slight edge by not choosing them ... but ... not by much.  Only a 1 in (13,983,816 - 2944) better chance. 

I didn't know you could click on the tags to get a seperate listing.  Maybe it's common knowledge, but I didn't know.  A sticky on how to navigate this site would have conveyed that information.

I might also point out that if you start on www.mapleprimes.com/recent/all there is a missing home tab that would bring you to www.mapleprimes.com although it's simple enough just to type it in the address bar I couldn't navigate there using any of the links in the page.

I would also like to see an option to collapse the summaries that are currently displayed in all posts/questions.  It makes the forum too ... bloated.  Having filter tags in the mapleprimes/recent/all section would be a satisfactory compromise.

@William re:adding extra sorting filters under the recent tab

Would it be hard to implement?

Okay I guess I need some explaining to regarding these student tag filters.  They seem to be pointless for anything other than a search.

There is no filter in the recent posts section to filter them out which is why I believed there should be a category for them.  So aside from adding a student tag to a post/question for searching, there exists no other filter that would filter them out. 

Currently under the Recent tab, you have the option filters for "Unread" "Your Contributions" and "All"  I am also suggesting and highly recommending that you also add the filter options for "Student", "Posts", and "Questions". 

As well to add filter options for "Announcements"  "Applications, Examples and Libraries", "Product Tips & Techniques", "Mapleprimes Commons General Tech Discussions", "Education", MapleSim in Engineering Education", "Product Suggestions", "Mapleprimes Suggestions" and "Personal Stories"

I believe these additions would make this forum more complete and easier to navigate and I am hoping that you will at least consider the ideas. 

Once fixed it should speed the site up a little more, no?

Fair enough. 

Okay, I agree about Maple itself having a lot of getting started information.  The stickies, well maybe you're right that it might not be too useful.  But I recall, on the old mapleprimes, a tools of the maple masters and maple 301 and 401 or something similar in a topic that may have contained the very information I was talking about.  I could be wrong though.  I know they are here on this new forum somewhere, but it's not easily available up front, it's burried pretty deep in the list if you dare to scroll and try to find it. 

I was almost wondering if your picture was some slight function alteration of your picture and you were waiting to see if anyone could recompose (crack it) back to the original.  However it is just a compression so no recomposition of it could bring it back the original.   I thought about using maple to deblur the image to try to see if I could ween out as close to an original picture as I could but I never pursued the idea.  

Is a way to reverse the process? or is there too much information loss?

Sorry, disregard I slightly misinterperetted your question. 

Sorry, disregard I slightly misinterperetted your question. 

That's pretty cool

That's pretty cool