On Fri, 11 Feb 2000 [EMAIL PROTECTED] wrote:
> It is my understanding that this list is for the promotion of the search
> for mersenne primes. I may be a laymen when it comes to mathematics, but to
> my knowlege, this is not a requirement of the list.
...
> I would hope that your opinion is in th
> Circumference/diameter is a ratio. The decimal value 3.1415->
...
> Seems to me a ratio is needed for pi.
you already gave it, the 'ratio of pi' is
circumference / diameter
There are NO two integers which can divide to create PI. Thats
why PI is considered a 'irrational' number. It ha
Is there an accessible archive of Mersenne Digests written in the past year+.
I may be using an old web address. The latest archived issue that I can find
is dated August 1998 (number 408).
Irv Rosenfeld
_
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Disclaimer: I am not a mathematician. It is a hobby. I am a cabinetmaker.
At 03:19 PM 2/11/00 -0600, Jeremy Blosser wrote:
>I think the mistake you are making is that the *precision* of PI is infinite
>(never ending), but PI itself is not "infinity".
>
>3.14159.->ininite number of numbers
>
At 04:51 PM 2/11/00 -0500, Chip Lynch wrote:
>Language, NOT Mathematics, is (precisely) why these discussions are
>problematic. If you've ever read original works by Archimedes, Euclid,
>and others who try to define mathematics with a common language, you
>understand the frustration.
>
>While I t
> >> Infinite to me means never ending. A precisely defined value to me is a
> >> finite value.
> >
> > Your definition of infinite is not correct.
>
> Just glanced at my Websters Dictionary. infinite: 1. lacking limits; endless.
> Endless and never ending seem synonymous to me.
> What dictionar
>This led to a discussion as to whether or not it is possible to have a number
>system based on a non-integer base. Maybe the great minds of GIMPS
>can contribute to this.
Base phi is easy to compute in. The similar Fibonacci representation counts the
integers as follows:
0,1,10,100,101,1000,100
I think the mistake you are making is that the *precision* of PI is infinite
(never ending), but PI itself is not "infinity".
3.14159.->ininite number of numbers
Since it is 3.something we know it is > 3 and < 4.
Take 1/3 for example.
Its decimal value us 0.3-> infinte # of 3's
George Sassoon ([EMAIL PROTECTED]) wrote (regarding base-e arithmetic):
>Maybe pi could be expressed exactly in such a
>system. After all, e^(pi*i) = -1.
Indeed, it follows that pi=-i*log(-1). But now one has the problem that
one has defined one transcendental number in terms of another, and is
At 01:14 PM 2/11/00 -0600, Kyle Evans wrote:
>
>> I have a circle with a area of 5 square inches drawn on my pad. 5 inches
>is
>> precise.
>
>You do?? How did you do that? Did you set your compass so that the points
>were exactly sqrt (5/pi) inches apart?
>
>What you probably have really is a
On Fri, 11 Feb 2000, Alex Phillips wrote:
>Dear All,
> Can anyone tell me if it is possible to have both the NT Prime service
>(under NT) and Prime95 (Under Win98), both installed in the same directory,
>and sharing files on a dual boot machine (NT for work and 98 for games).
My guess is
>Date: Fri, 11 Feb 2000 14:32:48 -0600
>To: "Vincent J. Mooney Jr." <[EMAIL PROTECTED]>
>From: [EMAIL PROTECTED]
>Subject: Re: Mersenne: Pi and Greek
>In-Reply-To: <[EMAIL PROTECTED]>
>
>Disclaimer: I am not a mathematician. It is a hobby. I am a cabinetmaker.
>
>I was not necessarily speaking in
From: Alex Phillips
> Can anyone tell me if it is possible to have both
> the NT Prime service (under NT) and Prime95 (Under
> Win98), both installed in the same directory, and
> sharing files on a dual boot machine (NT for work
> and 98 for games).
That's a definite 'yes' Alex. Just make sure t
At 11:39 AM 2/11/00 -0600, you wrote:
>
>
>On Fri, 11 Feb 2000 [EMAIL PROTECTED] wrote:
>
>> Infinite to me means never ending. A precisely defined value to me is a
>> finite value.
>
> Your definition of infinite is not correct.
Just glanced at my Websters Dictionary. infinite: 1. lacking limit
>If we left shift this by the position of the 1, for each 1 in the binary
>representation, and add them together, we should get the square... So to
>square 14, we do this:
>1110 << 3 == 111 +
>1110 << 2 == 0111000 +
>1110 << 1 == 0011100 +
> == 11000100 which is 19
Dear All,
Can anyone tell me if it is possible to have both the NT Prime service
(under NT) and Prime95 (Under Win98), both installed in the same directory,
and sharing files on a dual boot machine (NT for work and 98 for games).
Because I can't seem to get the NT setup program t
At 12:23 PM 2/11/00 -0600, you wrote:
>Okay, I was sitting there the other day thinking about a non-FFT squaring
>algorithm...
>
>Say we have 14, which in binary is 1110...
>
>If we left shift this by the position of the 1, for each 1 in the binary
>representation, and add them together, we should
> I have a circle with a area of 5 square inches drawn on my pad. 5 inches
is
> precise.
You do?? How did you do that? Did you set your compass so that the points
were exactly sqrt (5/pi) inches apart?
What you probably have really is a circle that approximates 5 sq inches
enough to suit YO
Okay, I was sitting there the other day thinking about a non-FFT squaring
algorithm...
Say we have 14, which in binary is 1110...
If we left shift this by the position of the 1, for each 1 in the binary
representation, and add them together, we should get the square... So to
square 14, we do thi
> At 10:50 AM 2/9/00 -0500, Jeff Woods wrote:
> >You're bumping up against the Fundamental Theorem of Calculus here. Pi
> >DOES have a precisely defined value, but you cannot express it in decimal
> >form. You can express it as an infinite expansion, however.
>
> Infinite to me means never
At 10:50 AM 2/9/00 -0500, Jeff Woods wrote:
>You're bumping up against the Fundamental Theorem of Calculus here. Pi
>DOES have a precisely defined value, but you cannot express it in decimal
>form. You can express it as an infinite expansion, however.
Infinite to me means never ending. A pre
On Fri, 11 Feb 2000, Paul Landon wrote:
>May I exclusively reserve the topic of "poaching"? >;-)
>I will release it in 60 days. (unless it is completed by
>someone else before then).
I think we should forge ahead. The hunter poached eggs and the blacksmith
forged checks.
phma
_
May I exclusively reserve the topic of "poaching"? >;-)
I will release it in 60 days. (unless it is completed by
someone else before then).
Paul Landon
_
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Mersenne Pr
On Thu, 10 Feb 2000, Stefan Struiker wrote:
>Team M:
>
>Is it better to have 10 pins at 500MHz with one or two angels dancing,
>or one 5GHz behemoth looking for luck, given the way PrimeNet
>assigns exponents?
Only ten pins?? Even a 64K microcontroller has forty!
phma
___
Mersenne Digest Friday, February 11 2000 Volume 01 : Number 692
--
Date: Thu, 10 Feb 2000 15:54:14 +0800
From: "Dave Mullen" <[EMAIL PROTECTED]>
Subject: Mersenne: Base-3 Pseudoprimes
This is a multi-part messag
In a message dated 10/02/00 07:19:48 GMT Standard Time,
[EMAIL PROTECTED] (Aaron Blosser) writes:
<<
What I'm getting at is that at some point, pi reaches a practical limit at
which expanding more decimal points is an abstraction because we could never
measure anything large enough for it to
> Anyone know why a email with subject "Re: more info on pi" I sent 24 hrs,
> 2-9-00, ago has not appeared on the list? I sent it with a reply all. Then
> today, 2-10-00, I forwarded another copy directly to [EMAIL PROTECTED]
>
> Another message I sent at the same time titled "Pi and Greek" 2-10-
Dear All,
Firstly, apologies to anyone receiving multiple copies of this message.
The following are the only six 30+ digit factors found by Pollard's p-1
of which I am aware:
(1) p34=8222057557067636644603420882415653
p-1=2^2.3.17.23.43.11657.506797.1632809.1692107.2496721
N=917^43-1
> Assume that a set of 400,000 exponents get single checked,
> and double checked, and the error rate per check is 0.5%.
> If the error occurrence is independent, that means about 4000
> will not match. Of these 4000 then the triple checks would
> have errors in about 20, and require a quadruple
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