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primenumbers · Prime numbers and primality testing

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  • Members: 944
  • Category: Number Theory
  • Founded: Dec 27, 2000
  • Language: English
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Messages 11984 - 12013 of 24247   Oldest  |  < Older  |  Newer >  |  Newest
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11984 Décio Luiz Gazzoni...
decio@... Send Email
Apr 1, 2003
11:55 am
... Hash: SHA1 While I do agree that such testing would be reassuring and consume few resources, it is my experience that coding an FFT for the 1 million digit...
11985 Jon Perry
jon_perryuk Offline Send Email
Apr 1, 2003
12:42 pm
'Thanks to Hollywood, a number of moviegoers will have the impression that 1 is a prime number. The sequence of the first few primes were used as a password...
11986 mikeoakes2@...
mikeoakes2 Offline Send Email
Apr 1, 2003
12:58 pm
In a message dated 01/04/03 13:25:21 GMT Daylight Time, ... As is coding an FFT for 100 Million digits: size has nothing to do with it. What is /not/ trivial...
11987 Décio Luiz Gazzoni...
decio@... Send Email
Apr 1, 2003
2:36 pm
... Hash: SHA1 ... The choice of FFT parameters for a given operand size has all to do with the speed, memory usage and correctness of an FFT implementation....
11988 Paul Jobling
paul_joblinguk Offline Send Email
Apr 1, 2003
3:46 pm
Hi all, A new version - 2.81 - of NewPGen is available at the primes site. There are linux and windows versions; the only change over 2.80 is a bug fix in the ...
11989 Michael Bell
mbhawkuk Offline Send Email
Apr 1, 2003
3:53 pm
Hi, I think we are getting confused here between roundoff errors (which are implementation independent assuming the exact same FFT algorithm, limb size, etc....
11990 Paul Leyland
pleyland@... Send Email
Apr 1, 2003
3:58 pm
Will Edgington and I try to keep our tables of Mersenne factorizations up to date by synchronizng every week or so. The latest indicated that another...
11991 Décio Luiz Gazzoni...
decio@... Send Email
Apr 1, 2003
4:08 pm
... Hash: SHA1 ... Exactly. Since SoB already found 5 or 6 primes, I assume their code has no errors of the latter kind. The only errors that might creep up...
11992 Michael Bell
mbhawkuk Offline Send Email
Apr 1, 2003
4:22 pm
... Except that George's code uses different assembler routines for each FFT length, so that doesn't really hold. ... Indeed, I should think this is pretty...
11993 Michael Bell
mbhawkuk Offline Send Email
Apr 1, 2003
4:32 pm
Hi, Well I would do, but Primo doesn't seem to like wine. Has anyone had any success with that, or does anyone know of a Linux ECPP tool with comparable ...
11994 Jon Perry
jon_perryuk Offline Send Email
Apr 1, 2003
4:41 pm
Let x^n+y^n=z^n Then (x+y)^n-z^n = x^n+y^n-z^n + [] = [] where [] is the 'innards' of (x+y)^n However every term in [] contains at least an xy component. x+y=Z...
11995 David Broadhurst
djbroadhurst Offline Send Email
Apr 1, 2003
5:22 pm
(2^7417-1)/(1930694161304071*3888241452787718190543521) 2193 c8 2002 Mersenne cofactor, ECPP...
11996 primenumbers@yahoogro... Send Email Apr 1, 2003
5:27 pm
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the primenumbers group. File :...
11997 Jon Perry
jon_perryuk Offline Send Email
Apr 1, 2003
5:48 pm
Let S(x)={r: r is a root of sigma(p prime: x^p)=0; |r|<=x<=1} How does |S| behave? Jon Perry perry@... ...
11998 David Broadhurst
djbroadhurst Offline Send Email
Apr 1, 2003
8:41 pm
These are the 6 smallest unproven probably prime Mersenne cofactors known to me: (2^14561-1)/8074991336582835391 (2^17029-1)/418879343 ...
11999 Jon Perry
jon_perryuk Offline Send Email
Apr 1, 2003
8:45 pm
How's the factorization of 2^(2^n)-1 coming along? Jon Perry perry@... http://www.users.globalnet.co.uk/~perry/maths/ ...
12000 Jon Perry
jon_perryuk Offline Send Email
Apr 1, 2003
8:54 pm
[notaa] = [not of topic at all] 0-lion = 10^0 1-lion = 10^3 2-lion = 10^6 3-lion = 10^9 4-lion = 10^12 In general, n-lion = 10^(n*3) Jon Perry ...
12001 Jon Perry
jon_perryuk Offline Send Email
Apr 1, 2003
8:56 pm
2^(2^n)-1 == prod(i=0,n-1,2^(2^i)+1) So, completely factored up to 2^(2^12)-1. 2^(2^13)-1, not yet factored.' Project of 2003? Jon Perry perry@... ...
12002 jbrennen Offline Send Email Apr 1, 2003
9:06 pm
... About as well as the factorization of 2^(2^n)+1 (the Fermat numbers). ... 2^(2^n)-1 == prod(i=0,n-1,2^(2^i)+1) So, completely factored up to 2^(2^12)-1. ...
12003 Jon Perry
jon_perryuk Offline Send Email
Apr 1, 2003
9:08 pm
Voodoo De Ja!!!" Jon Perry perry@... http://www.users.globalnet.co.uk/~perry/maths/ http://www.users.globalnet.co.uk/~perry/DIVMenu/ BrainBench MVP...
12004 Dan Morenus
dan_morenus Offline Send Email
Apr 2, 2003
7:17 am
Has anyone else experienced this? It seems that Proth 7.1, which I have been running continuously for months, is causing my newly-installed Windows XP OS to...
12005 Andrey Kulsha
andrey_601 Offline Send Email
Apr 2, 2003
1:32 pm
http://www.google.com/search?q=factorizations+project Best, Andrey [Non-text portions of this message have been removed]...
12006 Jiong Sun
jiongsun Offline Send Email
Apr 2, 2003
8:34 pm
A quick test on linux 2.81 version showed that it is about 30% slower than linux 2.70 (both for statically linked version). I tested with k.2^n-1 with n fixed...
12007 harvey563 Offline Send Email Apr 2, 2003
8:57 pm
2.81 seems significantly faster to me. I am running Mandrake Linux 9.0 on an Athlon 1400. Steven Harvey...
12008 Jon Perry
jon_perryuk Offline Send Email
Apr 2, 2003
9:29 pm
that there exists x,y, a,b>1 s.t. x^a - y^b = n, for all n integers? Jon Perry perry@... http://www.users.globalnet.co.uk/~perry/maths/ ...
12009 Jon Perry
jon_perryuk Offline Send Email
Apr 2, 2003
10:15 pm
It is true that if finding primes is P then so is finding factors of composites? Jon Perry perry@... http://www.users.globalnet.co.uk/~perry/maths/...
12010 Jon Perry
jon_perryuk Offline Send Email
Apr 2, 2003
10:20 pm
Let R(n) be the number of unique representations of n, e.g. R(8) = 2 as 8=1*8, 8=2*4 and no others. R is NOT multiplicative, R(72) != R(8)*R(9) as: 72=1*72,...
12011 David Broadhurst
djbroadhurst Offline Send Email
Apr 2, 2003
10:43 pm
Jon: Why should we have interest in the very old function (sigma(n,0)+issquare(n))/2...
12012 Jud McCranie
judmccr Offline Send Email
Apr 2, 2003
11:06 pm
... I don't think so....
12013 Jud McCranie
judmccr Offline Send Email
Apr 3, 2003
12:07 am
... Yes, I should have said that the original question "It is true that if finding primes is P then so is finding factors of composites?" is not known to be...
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