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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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Out of curiousity, I am wondering if the source to various sieving programs will ever be released by their authors. I do not know how to go about writing a...
4 Dec 20, 2006
12:02 am

Mark Rodenkirch
mgrogue
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As we're flatly refusing to have a proper winter in Finland this year, I thought I might fly south, and Mr. RyanAir decided that I should visit Dublin again...
1 Dec 19, 2006
11:53 pm

Phil Carmody
thefatphil
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... I had not heard the name "multisets&quot; before. I can use that terminology in the future. multisets if multiplicities are allowed, and sets if multiplicities...
1 Dec 18, 2006
2:55 am

Kermit Rose
kermit1941
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The fundamental Matrix Factor Elements are; [0, 3, 6, 9, 14, 16, 17, 18, 19] The addition table is: 0 2 4 6 8 10 11 2 4 6 8 10 12 13 5...
2 Dec 17, 2006
9:58 am

Phil Carmody
thefatphil
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Matrix Factor Element Sets A Matrix Factor Element Set is defined recursively as follows. Any set of distinct non negative integers which includes zero is a ...
2 Dec 17, 2006
12:33 am

Phil Carmody
thefatphil
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How can one prove the primality of a PRP when every program I've tried is unable. To form of the prime is XYYX such as 2^2007+2007^2. I have many PRP's to...
4 Dec 15, 2006
7:33 pm

Bryan
beyastard
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Moessner triangle based on primes. +30 1 2, 3, 5, 10, 21, 13, 48, 105, 80, 29, 264, 628, 553, 232, 47, 1736, 4378, 4235, 2059, 543, 73 (list; table; graph;...
1 Dec 14, 2006
11:32 pm

qntmpkt
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Does anyone know something about Georges Brougnard prime gb- sequences ? Definition : -- gb[0] := any prime > 2 -- if gb[n] = 2 (mod 3) then gb[n+1] : =...
3 Dec 14, 2006
4:40 am

Joshua Zucker
zucker
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A beautifull evening, I try to give you a sufficent proof for primes p:=x^2+x+1 p:=x^2+x+1=x*(x+1)+1 with p = 3 mod 4 => 2 appears only one time as divisor of...
3 Dec 13, 2006
6:12 pm

Dario Alpern
alpertron
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Hi all; Can someone point me to a site with the proof for the following (I Googled till blue in the face because:) I dont know the English word for what in...
2 Dec 8, 2006
10:09 am

Phil Carmody
thefatphil
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It is an old problem in this forum, how much primes a polynomial does represent. Admissible irreducible polynomials with integral coefficients and positive...
2 Dec 5, 2006
9:38 pm

Joshua Zucker
zucker
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Hi , all , Within the past several years , the option -oe+ , which broadcasts its "stdout" to stdout and a file , has apparently disappeared ( can something...
6 Dec 5, 2006
10:27 am

Phil Carmody
thefatphil
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Hi all, What is the fastest primality test for p^p+n? (p prime and n even) Thanks. Kaveh...
1 Dec 3, 2006
6:40 pm

Kaveh
kaveh_vejdani
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3 = 2 + 1 5 = 2^2 + 1 7 = 2^2 + 2 + 1 11 = 2^3 + 2 + 1 13 = 2^3 + 2^2 + 1 17 = 2^4 + 1 3 + 1 = 2 * 2 3^2 + 1 = 2 * 5 3^2 + 3 + 1 = 13 = prime 3^3 + 3 + 1 = 31...
2 Nov 30, 2006
5:10 pm

Joshua Zucker
zucker
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2. There are infinitely many primes of form a2+1 Posted by: "?? ?" liu_f_s@... liu_f_s Date: Tue Nov 28, 2006 11:04 pm ((PST)) Conclusion: An...
1 Nov 30, 2006
8:35 am

Kermit Rose
kermit1941
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Sorry , the ure is: http://www.paper.edu.cn/privatetools/released/download.jsp?file=200611-738 Liu Fengsui ... ...
1 Nov 29, 2006
7:34 am

逢绥 刘
liu_f_s
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I have posted a paper ¡°There are infinitely many primes of form a^2+1¡±£º http://www.paper.edu.cn/privatetools/released/download.jsp? file=200611-738 ...
1 Nov 29, 2006
7:04 am

逢绥 刘
liu_f_s
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Hi Does anyone have a spare copy of Zmath.xla, the Excel add on that Joe Crump designed a few years back. It is still the best add on for people who want to...
1 Nov 28, 2006
12:55 pm

Robert
robert44444uk
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I've discovered a prime number so large that it can't be written down in finite time: pi with the decimal removed. If it's irrational, and the decimal's...
1 Nov 27, 2006
8:11 am

Rob Finch
rtfinch36
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I have been participating in Joe McLean's Keller prime search. Unfortunately the email address I have for him appears not to work any more, and I'm unable to...
2 Nov 26, 2006
6:33 pm

mgrogue@...
mgrogue
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Hello all, I have written a proof of the Riemann Hypothesis available as a preprint for comment and feedback prior to resubmitting for peer review. The last...
1 Nov 25, 2006
11:09 pm

Dick
richard042
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Hi all, I'm curious to see whether the properties of polynomials with only prime exponents have been studied or not. And specifically, how would their Fourier...
1 Nov 22, 2006
4:41 am

Kaveh
kaveh_vejdani
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Find an n such that for odd prime p, p^p+n is prime only for one value of p. Phil () ASCII ribbon campaign () Hopeless ribbon campaign /\ against...
3 Nov 20, 2006
8:59 pm

Thomas Hadley
kctom99
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For each of the odd primes p < 10 000, I calculated the number q as follows. r = int(5 * p/12) m = r - p%r q is the largest odd factor of m. There are 1228...
1 Nov 20, 2006
3:17 am

Kermit Rose
kermit1941
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Let A and B be two sets of n and m positive integers, respectively. We want to know if {(an element of A) - (an element of B)} covers the entire interval of...
12 Nov 19, 2006
11:21 pm

Phil Carmody
thefatphil
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I'm trying to resuscitate some old code for testing proth-like numbers (in part so that people with non-x86 architectures can participate in such searches),...
2 Nov 19, 2006
10:50 am

Robert
robert44444uk
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I came close to constructing a factor algorithm based on algebraic identities. How close did I come? The algorithm broke at the following step: I have known...
1 Nov 17, 2006
6:43 pm

Kermit Rose
kermit1941
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If 1/n has the period n-1 then n is prime(n is a natural number). Of cf course there exist primes for them the condition don't hold. But if it hold, n must be...
2 Nov 15, 2006
8:06 pm

Phil Carmody
thefatphil
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1a. There are approxiametly 29 % prime numbers in the positive integers Posted by: "Billy Hamathi" hamathib@... hamathib Date: Mon Nov 13, 2006 10:56...
4 Nov 15, 2006
8:12 am

Ronny Edler
ronny_edler
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Hi , all , What is the largest number ever located by a prime hunter which passed a pseudo-primality test , but ultimately proved composite ? Cheers , Walter ...
2 Nov 15, 2006
8:10 am

Phil Carmody
thefatphil
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