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primenumbers · Prime numbers and primality testing

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  • Members: 1090
  • Category: Number Theory
  • Founded: Dec 27, 2000
  • Language: English
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Hi, I've read the "new Mersenne Divisors conj." thread, and I propose the following test for Sophie Germain primes > 3 that does not require 2 different cases...
5 Jan 20, 2010
8:34 pm

j_chrtn
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Hello all:   See this curious aproximation:   22/5+Zeta[E-2]-Zeta[E-1/E]=-4,9*10^(-9)   Sincerely   Sebastian Martin Ruiz [Non-text portions of this...
1 Jan 18, 2010
6:54 pm

Sebastian Martin Ruiz
s_m_ruiz
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I think that I found a new Mersenne Divisors conjecture ???; I couldn't locate it on the web, but that doesn't mean anything. Let p == 1(mod 4) be prime. 2p +1...
4 Jan 16, 2010
11:32 pm

djbroadhurst
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Hi All, Not sure how to go about listing them but the TPS searchers have 2 more AP3's among their findings 01808289789*2^333333-1 100353 L212 Mar 2007 ...
3 Jan 16, 2010
11:33 am

yummie_55555
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This is a bug fix release for WinPFGW only. The Linux and Mac versions were not affected. With this release WinPFGW now correctly displays the "Line in...
1 Jan 15, 2010
4:06 pm

mgrogue
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There are significant behavior changes to this release of PFGW WRT to the handling of sumout/roundoff errors and the use of the -a switch. 1) The -a swith no...
2 Jan 12, 2010
1:49 pm

mgrogue
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Announcing the first length 3 Cunningham chain over 10000 digits: 914546877*2^34772-1 914546877*2^34773-1 914546877*2^34774-1 archived at: ...
2 Jan 9, 2010
9:29 am

Jens Kruse Andersen
jkand71
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The idea that for a great many quadratic equations the application of the simple function 5r^2 - 4*C(y) over relatively small tightly ordered intervals (valid...
1 Jan 7, 2010
4:20 pm

aldrich617
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You can d/l PFGW 3.2.7 for Windows from here: http://openpfgw.svn.sourceforge.net/viewvc/openpfgw/pfgw_win_3.2.7_20100107.zip?view=log Mac and Linux versions...
1 Jan 7, 2010
3:05 pm

mgrogue@...
mgrogue
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APR-CL was written on a CDC Cyber by Dik Winter when fellow CWI-er Arjen Lenstra introduced him to his and Henri Cohen's improvements to traditional APR in the...
2 Jan 7, 2010
12:04 pm

djbroadhurst
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I have divided the primes into 3 groups working on a general format of 36mn +/- 6m +/- 6n +/- 1. Below is a simple and I think efficient algorithm for testing...
2 Jan 5, 2010
1:25 am

Kermit Rose
kermit1941
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I do not know too much English, but with a translator program I am writing this post. I want to ask a question. I have also re-definition of prime numbers....
10 Jan 3, 2010
3:35 pm

Phil Carmody
thefatphil
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1) Fixed b^n+1 check for using fast modular reduction 2) Some prime numbers silently fail (i.e. no errors detected) when testing for primality. To address...
2 Jan 3, 2010
2:29 am

Mark Rodenkirch
mgrogue
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A decadal prime triplet is a set matching one of the four types {10K+1, 10K+3, 10K+7}, {10K+1, 10K+3, 10K+9}, {10K+1, 10K+7, 10K+9}, {10K+3 10K+7, 10K+9},...
7 Jan 2, 2010
10:34 pm

Jens Kruse Andersen
jkand71
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Hi, all. Some of you may be interested in this, many will not see the point. I'm happy to discuss it. But first, I have written up what I feel to be a...
2 Dec 31, 2009
8:00 pm

maximilian_hasler
maximilian_h...
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Here is a conjecture about the minimum number of primes between consecutive perfect squares that I presented Aug 8, 2009 at MAA's Mathfest in Portland,...
1 Dec 30, 2009
6:09 pm

wroscar
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This notion is derived from the familiar prime gaps: The "span" of a prime is the smaller of the two gaps adjacent to it. For example, span(839) is...
8 Dec 30, 2009
5:15 am

Kermit Rose
kermit1941
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Hi everyone, To increase the probability of finding prime numbers I find the strategy of using four different terms for the same integer constant very useful....
1 Dec 29, 2009
6:29 pm

Peter Lesala
plesala@...
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PI(N) ~= N /[ A*(LOG(N)^2) +B*LOG(N) +C, for N <= 10^23. This can be shown by a simple regression analysis of N/PI(N) vs LOG(N). This seems like a...
2 Dec 29, 2009
1:01 pm

Andrey Kulsha
andrey_601
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To the best of my knowledge, I think that I have created a new prime number conjecture that will be proven someday. It is similiar to the Old Goldbach...
7 Dec 28, 2009
10:49 pm

djbroadhurst
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The multi-polynomial part of the multi-polynomial quadratic sieve. Hello Prime number friends. I've worked out this part of the multiple polynomial quadratic...
1 Dec 24, 2009
7:42 pm

Kermit Rose
kermit1941
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Sat Jan 3, 2009 10:43 pm I went to solve the same puzzle as he when the realization of magic cubes occurred. I was drawing it out at Waylon's Tavern spare time...
1 Dec 24, 2009
12:59 am

Harvey D Norris
harvich
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It is noted that a squaring is not the same as a squire. Some say a squire is the attendant to the knight. And is known by the knight the pattern of its...
1 Dec 24, 2009
12:18 am

Harvey D Norris
harvich
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Hi All, Since the demise of Geocities the multifactorial search has been homeless. Now thanks to the kindness of the people at Free-DC (Special thanks to Phil...
1 Dec 22, 2009
1:16 am

kraDen
kradenken
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I was looking for a yahoo group on mathematics that might solve some of my mathematical suppositions. I dont know how strict the moderator is as some of my...
1 Dec 21, 2009
6:28 pm

Harvey Norris
harvich
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Solve the recurrence equation. Continuing the theme 21127 http://chitatel2000.blogspot.com/...
2 Dec 16, 2009
2:01 pm

maximilian_hasler
maximilian_h...
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Hi group, 138^196873-137^196873 is PRP for bases 2, 3, 5, 7, 11, 13, 17, 19, 31, 71 and 101. This number has 421285 digits. Moreover, 138^p-137^p is composite...
2 Dec 13, 2009
5:33 am

mikeoakes2
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I have established the following result:- For each of the 6 currently remaining candidates for the smallest Sierpinski number, no covering set of primes, with...
6 Dec 10, 2009
11:23 pm

Jack Brennen
jbrennen
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I happened to look at http://primes.utm.edu/bios/top20.php?type=person&by=PrimesRank and was struck by the fact that Bouk de Water, without needing to prove...
2 Dec 10, 2009
3:20 am

djbroadhurst
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There are lots of these. but here is another nice one by M. Chaves: Theorem. A necessary and sufficient condition for the integers n>7 and n+2 to be twin...
1 Dec 7, 2009
5:05 pm

Chris Caldwell
primemogul
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