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Messages 18344 - 18373 of 19496   Oldest  |  < Older  |  Newer >  |  Newest
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18344
Sorry,... the formula should have been posted as... (3^(2n-2))*(3^(2n-1)-1)/2. I thought about it while driving home last night. This idea follows from...
leavemsg1
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Sep 1, 2006
3:34 pm
18345
... From: "leavemsg1" <leavemsg1@...> ... A = 3^(2n-2), B = (3^(2n-1)-1)/2 N = A·B Sigma is a multiplicative function, and B = = 1 (mod 3), which...
Jose Ramón Brox
ambroxius
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Sep 2, 2006
2:09 am
18346
... implies CGD(A,B) = 1, so ... (B) = 2A ... Forget my attempt to formalize a formula for an odd-perfect number be- cause by your very sigma definitions......
leavemsg1
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Sep 2, 2006
7:23 pm
18347
... From: "leavemsg1" <leavemsg1@...> ... Why is that so? If you have a sound argument for that idea, i.e., that the first perfect number must occur at...
Jose Ramón Brox
ambroxius
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Sep 2, 2006
9:36 pm
18348
As part of a project to generate some computer art and to build a video game, it came to pass that I needed a way to convert whole numbers into graphic images....
Roahn Wynar
hahahahastay...
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Sep 3, 2006
1:10 am
18349
... It's pretty cool. The idea of creating bijections between numbers and multi-dimensional images is one I've theorised about a lot (I was going to turn DeCSS...
Phil Carmody
thefatphil
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Sep 3, 2006
7:12 am
18350
... Very nice. I wrote a script to draw some of these and see why you chose to work with the largest factor first (though I used a green square instead of a...
Chris Caldwell
primemogul
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Sep 4, 2006
4:57 am
18351
I don't suppose anyone can sketch a proof of it, could they? A quick search on the interweb failed to yield anything, and I don't remember seeing it in any of...
Phil Carmody
thefatphil
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Sep 4, 2006
4:29 pm
18352
Monday, September 04, 2006 6:21 PM [GMT+1=CET], ... I think there are two or more versions of the theorem, related I suppose. In "Introduction to Analytic...
Ignacio Larrosa Ca...
ilarrosa
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Sep 4, 2006
6:15 pm
18353
For those who are interested, you can now experiment with the Whole Number Hash Applet at https://home.comcast.net/~rwynar/. You can input some pretty big...
Roahn Wynar
hahahahastay...
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Sep 4, 2006
6:33 pm
18354
... Many thanks Ignacio! The formulation of the theorem I have seen was different, but closely related (namely the C(2p-1,p-1) one), and hopefully not too much...
Phil Carmody
thefatphil
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Sep 4, 2006
6:55 pm
18355
... Oh dear, you seem to have fallen for the "write once, run anywhere" bu^Wmarketting message that Sun was so proud of. Alas, it don't work here, and yes,...
Phil Carmody
thefatphil
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Sep 4, 2006
8:54 pm
18356
I posted it, but it didn't go. Look at the formula... sigma(abundant#) = 2*sigma(perfect#) + associated Mp + 1 28 = sigma(12) = 2*sigma(6) + 3 + 1 = 28 120 =...
leavemsg1
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Sep 4, 2006
10:47 pm
18357
... I'd wondered if you did that on purpose. Go to http://www.utm.edu/staff/caldwell/preprints/temp/ 1to30 is just that, 1, 2, 3, ... Then the flat primes p,...
Chris Caldwell
primemogul
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Sep 4, 2006
11:36 pm
18358
... number, ... odd ... ever ... Another... 32640 = sigma(16256) = 2*sigma(8128) + 127 + 1 = 32640. I'm confident. Ramon... do you like the argument? It took...
leavemsg1
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Sep 5, 2006
5:45 pm
18359
* Regards Raman / Tuch ... Here's a new way to find what you're looking for - Yahoo! Answers Send FREE SMS to your friend's mobile from Yahoo! Messenger...
Tuch
vr_aman
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Sep 6, 2006
9:38 am
18360
Do you know any factor of 2^65537-1? I know M8191 has factor 338193759479 M131071: 231733529 M524287: 62914441 M2147483647: 295257526626031 * * * * Regards ...
Tuch
vr_aman
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Sep 6, 2006
9:45 am
18361
I wrote to Dr. Math on 9/6/06... today. He asked... What is your question? I wrote: I see the many definitions that math books are filled with and ponder- ed...
leavemsg1
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Sep 6, 2006
3:21 pm
18362
... ponder- ... the ... ...omit the restriction. The function should have been f(1/a + bi) = a * g(1+abi) ... it. ... de- ... real ... my ... made ... the ... ...
leavemsg1
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Sep 7, 2006
1:20 am
18363
... If my grandmother were alive... she would say, "Pourquoi quelqu'un ne soigne pas?" ... roughly translated ... "Why doesn't anyone care?" Phil? Chris? ... ...
leavemsg1
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Sep 8, 2006
4:35 pm
18364
... When you start out with an assumption like this, the rest of your argument is suspect. You don't even have to look much further to find that the second...
jbrennen
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Sep 8, 2006
6:30 pm
18365
[I tried to send this email several times these days. I hope this is the good one] ... First time I see it. Is it a result of yourself? Do you have a proof? If...
Jose Ramón Brox
ambroxius
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Sep 8, 2006
9:20 pm
18366
... 1) Obviously, if A is even perfect number, it must be of the form A = 2^(n-1)*M_n, where M_n = (2^n - 1) is a Mersenne prime. The proof is straightforward,...
Peter Kosinar
pkosinar
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Sep 9, 2006
4:57 pm
18367
... I was aware of that. I was just asking for a proof of the claim as it was first stated, involving all perfect numbers (even the theoretical odd ones!). I'm...
Jose Ramón Brox
ambroxius
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Sep 9, 2006
7:37 pm
18368
... You are right... I thought about the multiples of 945... and it's absurd... look at the connection between abundant and perfect numbers when I use the...
leavemsg1
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Sep 10, 2006
2:30 pm
18369
Sorry about the lame questions, but I am not clear on a point that should be obvious.... My implementation of the Pollard p-1 algorithm seems to work pretty...
Roahn Wynar
hahahahastay...
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Sep 11, 2006
3:48 am
18370
... It searches for factors. For an arbitrary prime it will take an excessively long time, as the only factor is the entire number. It's just doing what it ...
Phil Carmody
thefatphil
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Sep 11, 2006
6:20 am
18371
Hi all: Recently, I attended the ICM celebrated in Madrid, and aside from meeting a lot of famous people (like Mandelbrot, Eric Weisstein, Frank Morgan,...
Jose Ramón Brox
ambroxius
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Sep 17, 2006
9:58 pm
18372
Hi Prof. Caldwell and members, after 2 mounths of working on a possibly Mersenneprimenumber PFGW unfortunately made an error report : Warning !! Did not valid...
primemind@...
wedsde
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Sep 18, 2006
5:58 pm
18373
This might surprise: Conjecture: The ratio k_b defined as "the sum of all base-b digits of all the primes between 1 and n" to "n", converges to the constant...
Anton
al_at_i
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Sep 20, 2006
7:24 pm
Messages 18344 - 18373 of 19496   Oldest  |  < Older  |  Newer >  |  Newest
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