Recent content by neopolitan

True alan2, fingers let me down again. I just plugged it into the calculator and sure enough, you are right for 250,000. Earlier, I had a range of (ln n)/2 in a spreadsheet, next to the figures I was generating, and noted that the numbers actually diverge, as you point out, so I dismissed the...

At half a million, the figure has broken through 7 (actually did that before 450,000), but the tapering off continues.

Ah, yeah, you're right re the factorial notation, I don't quite know why I did that. Perhaps a bit frazzled by all the number crunching. But with regard to (ln n)/2, it simply doesn't work. Using your notation, S(n=250,000) = 4.20257x10^11 n^2 = 6.25x10^10 S(n)/n^2 = 6.7244115...

Ok, done it to n=250,000. It went straight past 6, straight past 2pi and is now at 6.724115 with the delta being about 2.173x10^-6 for each increment of n (with some error introduced by excel, I assume). That delta has been consistently decreasing, although the rate of decrease is slowing...

Thanks, it is indeed useful. I'll see what the numbers do - it might take some time with all those primes though. cheers, neopolitan

Hm, interesting theory. I tried it though, and the series is diverging away from ln(N)/2. The last time the gap closes is at n=263 and the narrowest gap is at n=30. Up until then it looked vaguely promising. Any other theories? cheers, neopolitan

My question is this, is there a known convergence of the sum of primes divided by the square of the sample size? I've just been looking at it, admittedly with only the first 50,000 primes, and it looks as if it is converging on a number near 6. If you plot the points below, you might see what...

CERN >c result - eliminating the errors I was just thinking that it would be helpful to list the possible experimental errors and eliminate them as it is shown that they have already been accounted for. (See http://www.universetoday.com/89191/faster-than-the-speed-of-light-opera-update/ for...

Ok, I wrote out some stuff on this then accidentally navigated away and lost it all. So you are going to have to seek out the references yourself, because frankly I can't be bothered doing it again. The observable universe is 46.5 billion ly in radius. The age of the universe is 13.73...

Jack and Jill should not expect simultaneous pushing of the buttons in their rest frames to cause Car B to explode. They will both expect simultaneous pushing of the buttons in Joe's rest frame to cause Car B to explode. They just will know (or find out) that events that are simultaneous in...

The problem is in here. Unfortunately you have to specify the frame. So you have to say "Car A detonates if Button A is pressed first in Joe's frame, Car B detonates when both buttons are pressed simultaneously in Joe's frame, and Car C detonates when Button B is pressed first in Joe's...

I have managed to reduce the size of the pdf file, down to 500k. It is http://www.geocities.com/neopolitonian/benefits.part1.v1.pdf". Zipping it makes little difference. cheers, neopolitan (The zipped file has been removed and the html file now just links to the pdf file.)

Referring to last post and the http://www.geocities.com/neopolitonian/checking.html" therein, I noted that a line was missing from one of the text images (I had fixed it in a later variant, but it is on a work computer). Until I can fix that, I have added a line in very ordinary hypertext...

I've been rather busy, but trying to look at this during the quiet moments. http://www.geocities.com/neopolitonian/checking.html"is an attempt at a proof for one of the stopping points. cheers, neopolitan PS I previously only posted the proof which attempts to justify my "some...

Some attempts to answer the question asked by mehul ahir are http://answers.yahoo.com/question/index?qid=20080504025933AA9EEwV", along with a more comprehensible version of the question. cheers, neopolitan