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· User group for PFGW & PrimeForm programs
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Factorization of 10 consecutive integers > 10^500
/55440-4 then N+k is factorized for k in [0,9]. Proof: ...
Sep 7, 2007
Tony Forbes' k-tuplet page is available
Hello group ! The new URL is http://anthony.
htm regards Norman Wissenswertes für Bastler und Hobby Handwerker. BE A BETTER...
Sep 1, 2007
Congrats to Jens for http://primes.
id=82059 David PS: Chris will need to add Jens's comments to complete the recording of the AP3....
Aug 27, 2007
Factorization of 7 consecutive 1404-digit integers
/m-4 then N+k is factorized for k in [0,6]. ...
Aug 27, 2007
Factorization of 6 consecutive 1404-digit integers
Let m = 6744029455967605401
6000 a = (y-22^2)*(y-
m) b =...
Aug 21, 2007
New software version ready!
The new version of RMA.NET, has been extensively tested, and is now ready for release. This windows program is by far the fastest prime number software ...
Aug 20, 2007
Update on search for consecutive factored titanics
OK, so I've been unsuccessfully trying to solve Jack Brennen'
s problem of finding 6 consecutive fully factored titanic integers. Turns out that (as usual) Jens...
Aug 12, 2007
Factorization of 8 consecutive integers > 10^500
/55440 then N+k is factorized for k in [0,7]. Proof: ...
Aug 11, 2007
deep sieving versus smart sieving
PG+TPS have found 1588 single primes of size slightly greater than 2^(10^6/3). I guess that most of their twin candidates were sieved to depths between 2P and...
Aug 10, 2007
Large Woodall prime
Congrats to Primegrid and, in particular, to Lasse Mejling Andersen for a 2 megabit Woodall prime: http://primes.
id=7 now being tested ...
Aug 9, 2007
These 4 primes need to be removed from the list of unprovens in http://www.primenum
php L(56003) 11704 Harvey Dubner 02/1999 ...
Jul 23, 2007
I have a question to ask. As you all know repunits are defined as (10^n-1)/9. With tests available it's possible to test for prp but not for proven primality....
Jul 13, 2007
newer pfgw program
Hi, Group-Moderator. Is there a newer pfgw program on the way??? If so, what might be some its new features??? Or could you point me to an article that might...
Jul 6, 2007
Efficient NewPGen and LLR integration
RMA.NET is now available for beta testing on Windows Vista. The source files are located here: http://tech.
15kSearch/ The direct link to...
Jul 2, 2007
top5000 at 60k
... ( found on my 120MHz laptop ) reveals that the top5000 primes have more than 60 thousand digits. Congratulations to all the people who have achieved this...
Jun 29, 2007
prp tests in pfgw
When pfgw says "XXXX is 3-PRP!"
, does that mean that the number has passed a Fermat test to base 3 or a strong probable primality test to that base? The...
Jun 23, 2007
Does anyone know of files with consecutive pi(x) and Li(x)? Thanks...
Jun 16, 2007
Mock-Rational Probable Primes
Hi, I think these two numbers are probable primes: floor(1/27*sqrt(
Jun 13, 2007
1/5 of top5000
Congrats to projects Twin Prime Search and PrimeGrid for attaining 1000 primes between them (with a few pending submission verifications.
) I have not seen this...
Jun 12, 2007
1 with 441847 digits: http://primes.
id=80955 Big congratulations to Zsuzsi Mate (first Prime Pages entry), Willem...
Jun 9, 2007
Here's something a bit different. (It can't be new, but I've not seen anything about it, so it seemed worth communicating.
) The complex numbers have a...
May 29, 2007
NTG record with 47759 digits
N = primV(40395,
-1,15588) is a 47759-digit prime. The proof relies on the following happy circumstances. 1) Since 15588 = 6^2*433, there are numdiv(12*432) +...
May 23, 2007
primes of form 3^n-2
Does anyone know of a project to find primes of the form p(n)=3^n-2? Is this type being actively worked on? They are not mentioned in the Proth Search pages....
May 21, 2007
Lehmer prime with 28347 digits
May 15, 2007
Hi, by "Search by form" (2^n+1)^4-2 on http://www.primenum
php these PRPs are given: 7 (2^148330+1)
^4-2 178608 Cletus Emmanuel 12/2003 ...
May 13, 2007
Proth Theorem Extended
Why is ((2^55373+1606)
+1) prime w/only a -b2 test??? Here's my best proof for it--- '2nd-kind
39; Proth number. Bouris-Proth Theorem: Let Q= k*2^n+1,...
May 10, 2007
Twin Prime PFGW questions
Hi, I would like to find twin primes near 10^n with PFGW. I can program sequence A124001 in Pari like this: for(n=1,30,k=
n+k) || !isprime ...
May 9, 2007
Hello, Group. for reference... Proth number(1878)
: p= k*(2^n)+1, k odd < 2^n, why is k odd ??? for some a... p is prime iff a^((p-1)/2)=
= -1 (mod p). my...
May 4, 2007
Hi, Group. I created the idea of a '2nd-kind
39; proth using the orginal definition of a Proth number. It's interesting that z= ((2^3011)*(2^
Apr 27, 2007
Generalized Lucas record
Let x = (475+sqrt(475^
2+4))/2. Then the generalized Lucas number N = U(475,-1,5039) = (x^5039 + 1/x^5039)/(x + 1/x) is a 13486-digit prime. The proof was...
Apr 22, 2007
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