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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 have just now seen that there is an "alpha" version of Primo for linux which supports multi-core computers. I hope to see some results using this program...
5 May 26, 2011
10:49 pm

Nathan Russell
pakaran42
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Hello, calculate the rests r1,r2,....of ((....((2^p-2)/p)-r1)/p-r2)/p with 2^p-1 mersenne pirme  I have found that (2^2-2)/2=2 ; 2= 4 div 2 ; for 2^2-1=3 ...
1 May 23, 2011
10:47 am

Norman Luhn
n.luhn
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Hi does anybody know if Henri is still maintaining his database of Bitwins? I have mailed him a couple of times over 2 months ago and still have not got a...
1 May 18, 2011
11:57 am

Gary
garychaffey
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Thanks for your contributions. I should have been more detailed in my original comments. Jens' terms (average etc) are clear to me. Amongst all this - what are...
3 May 17, 2011
9:10 am

woodhodgson@...
woodhodgson...
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Centuries refer to ranges [100X+1,100X+99]. Does anyone happen to know where the first repetition of the primes in a century occurs? I see no reason to suspect...
11 May 16, 2011
10:27 am

Phil Carmody
thefatphil
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An example or two at the decadal level will clarify: The first pattern repetition is {53,59} following {23,29}. The first void pairing occurs much later. A...
3 May 16, 2011
6:15 am

whygee@...
yasep16
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One sequnce of number not on the integer sequence encyclopedia that is related to prime numbers has its first three terms 271, 577, 661. I did try to remember...
2 May 11, 2011
3:12 pm

Jens Kruse Andersen
jkand71
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A beautiful day to all primers, i have develloped a prime sieve base on Ulam for a Cuda Graphic Card. Results: constant ca 8.317.200 Primes / sec on a Cuda...
1 May 4, 2011
11:17 am

bhelmes_1
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Hi All, 1) I know this is a moving target, but as people continue to calculate pi (3.14...) to ever increasing number of decimal places surely someone out...
27 Apr 24, 2011
11:55 am

Aldrich
aldrich617
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Hi, congratulations to David Broadhurst for discovering the two AP3s based on Primegrid's prime numbers, in their search for a twin and Sophie Germain pairs....
10 Apr 23, 2011
11:10 am

paulunderwooduk
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Y'all, Prime numbers may be created by: 1. start with a tube with circumference of 1 (unit) and mark a straight line that runs the length of the tube and is...
3 Apr 14, 2011
12:55 pm

Bill Krys
billkrys
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Hello, let Q= k*2^n +1, k< 2^n +1 be odd, and 'n' be prime. Proth extended: if a^((Q-1)/4) == +/-1(mod Q), then 'Q' is prime. my rule: also, if a= 2 & n is...
7 Apr 13, 2011
5:33 pm

leavemsg1
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International Journal of Applied Mathematics & StatisticsISSN: 0973-7545 (Online), ISSN 0973-1377 (Print)http://www.ceser.in/ijamas.html Free...
2 Apr 13, 2011
5:39 am

Journals IJI / IJAI /...
eic_iji
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It is my contention that the principle of Primemine2 makes it a valid primality test for all 8499 batches of outputs produced. Since proof for this type of en...
2 Apr 13, 2011
2:17 am

Aldrich
aldrich617
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Hi, just thought I would share this njew Bi twin record with the list:- 111800699636*3989#+1 111800699636*3989#-1 2*111800699636*3989#+1 2*111800699636*3989#-1...
1 Apr 11, 2011
10:26 am

Gary
garychaffey
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Speculations concerning binary quadratic forms and issquare functions: The primemine programs that were posted at this PN website needed no reference to...
1 Apr 6, 2011
7:30 pm

Aldrich
aldrich617
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My aim with primemine2 (pm2) was to reach primes of 20 digits using the same basic principles of the first prime mine while maintaining a good primes found /...
1 Apr 4, 2011
11:44 pm

Aldrich
aldrich617
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1319732172923115 1713323729219115 2191317297323115 2291117192373135 2291772319133115 2322931117719135 2329131171719235 7112917313223195 7191317229231135 ...
2 Apr 4, 2011
7:13 pm

James Merickel
merk7777777
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Hi, I am verifying the 6-selfridge "quadratic composite tests" detailed in my paper in the file section of this group. I made some changes and I am now testing...
1 Apr 1, 2011
7:53 pm

paulunderwooduk
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ok send any n which satisfy the condition i accept the challenge never more than 400 digits it will take some more time using manual method . [Non-text...
1 Mar 26, 2011
5:25 pm

Éric Judor
ric.judor
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can someone send to me a real numbre satisfy p - q < sqrt(p) maximum digits for n = 300 digit minimum digits for p-q = 100 note n= p*q p>q p-q < sqrt(p) ...
2 Mar 26, 2011
4:58 pm

Maximilian Hasler
maximilian_h...
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if your numbre satisfy n =p*q ... your numbre ...
1 Mar 26, 2011
9:59 am

Éric Judor
ric.judor
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pq, are integers p*q = n p>q if p-q < sqrt (p) we can automatically (factor) n note : the absolute value (p-q < sqrt p) regardless of it's length i can find a...
3 Mar 25, 2011
10:07 pm

Peter Kosinar
pkosinar
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wath is the composite Mersenne number with small proven prime factors. example : 2^49499-1 factor = 98999 is very smal i found this but i dont know if it...
3 Mar 21, 2011
1:39 pm

maximilian_hasler
maximilian_h...
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I've submitted curios on the following little things: 1) The number of primes under 1000 digits that are a concatenation of 3 or a power of 3 and 7 or a power...
1 Mar 18, 2011
12:56 am

James Merickel
merk7777777
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I suggest that in addition to testing simplicity of zeta(3)/ pi**3, that you test zeta(3)/pi**2 and zeta(3)/pi**4. Kermit Rose...
1 Mar 16, 2011
1:11 pm

Kermit Rose
kermit1941
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I have obtained a curious aproximation to Apery constant Zeta(3)= 1.2020569031595942... (199/155)(16/165)^(3/2)Pi^3 Can someone test with a super computer...
9 Mar 16, 2011
10:31 am

mikeoakes2
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Hello all: My  ​​equivalence for twin primes has been posted today here:   http://www.primepuzzles.net/puzzles/puzz_580.htm   Sincerely   Sebastian...
1 Mar 12, 2011
6:30 pm

Sebastian Martin Ruiz
s_m_ruiz
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I have finished up changes for PFGW 3.4.6. Here is a list of changes: 1) Use gwnum for POWMOD script function when numbers are larger than 650 bits. 2) Added...
1 Mar 8, 2011
1:38 pm

mgrogue@...
mgrogue
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Hello all: Let n and k positive integers k<n. Let P(i) the ith-prime number We have: P(n)-P(n-k)-(n-k)P(k)=0   IF AND ONLY IF    P(n) and P(k) are Twin...
5 Mar 5, 2011
3:19 pm

Sebastian Martin Ruiz
s_m_ruiz
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