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primeform · User group for PFGW & PrimeForm programs

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  • Members: 991
  • Category: Number Theory
  • Founded: Sep 26, 1999
  • Language: English
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Messages 8756 - 8785 of 11375   Oldest  |  < Older  |  Newer >  |  Newest
Messages: Simplify | Expand Author Sort by Date ^
8756 David Broadhurst
djbroadhurst Send Email
Aug 13, 2007
9:44 am
... Yes, that's eminently possible: it is easy to make the cofactors with digits/4 into simple quintics or sextics. The local problem is that with my GGNFS...
8757 David Broadhurst
djbroadhurst Send Email
Aug 14, 2007
2:26 pm
Let m=67440294559676054016000 y=(m*(10^71+145589)+22)^2 N=(y-11^4)*(y-35^2)*(y-47^2)*(y-94^2)*(y-146^2)*(y-148^2)/m-5 then N+k is factorized for k in [0,5]. ...
8758 Jens Kruse Andersen
jkand71 Send Email
Aug 14, 2007
6:39 pm
... Congratulations! Very neat. I was wondering whether you would go for 6 record numbers with a construction inspired by Jaroslaw's P(X). Thanks for showing...
8759 David Broadhurst
djbroadhurst Send Email
Aug 14, 2007
6:52 pm
... No objection at all: I took a lazy route for k=6, staying well within the comfort zone of Msieve. Update on the wings: N = -6 mod...
8760 Jens Kruse Andersen
jkand71 Send Email
Aug 15, 2007
8:23 pm
... The current status page shows a 10043-digit AP4 by Ken Davis: (97070894 + 104086947*n)*2^33333+1, n=0..3 It's the second largest known with unfortunate...
8761 N.L.
nluhn Send Email
Aug 16, 2007
8:20 am
Hello ! I have a collection about 210 6k twins. for n+2 and n-2 I have scan all primfactors up to 1.6E9, without success. Perhaps find one of you the 4th...
8762 Ken Davis
kradenken Send Email
Aug 16, 2007
1:08 pm
... updated ... Indeed. Started just after Mike Oakes 10004 digit AP4 discovery in december http://tech.groups.yahoo.com/group/primeform/message/8092 I've...
8763 David Broadhurst
djbroadhurst Send Email
Aug 16, 2007
2:03 pm
... If you run ECM up to p20 level you have a good chance: mu = 2*210*exp(Euler)*20/6200 = 2.4 and then you may well end up with a long haul, usin ECPP at 6.2k...
8764 Jens Kruse Andersen
jkand71 Send Email
Aug 16, 2007
4:37 pm
... Around half would find no factor from 1.6E9 to p20 level ECM, so that half doesn't contribute to the chance. And p20 ECM on 420 6k numbers is not easy: ...
8765 N.L.
nluhn Send Email
Aug 16, 2007
4:46 pm
Hello ! That is the problem ! A ECM test for a single number ( I have 420!) takes to many time. Better is a Pollard Test for 6k numbers but I don't have a...
8766 Jens Kruse Andersen
jkand71 Send Email
Aug 16, 2007
5:21 pm
... I don't know why GMP-ECM stopped giving recommended p15 parameters. ... This is the README file of gmp-ecm-5.0, a new version of gmp-ecm, replacing version...
8767 David Broadhurst
djbroadhurst Send Email
Aug 16, 2007
8:44 pm
... Marcel missed this one, from July 2007: http://primes.utm.edu/primes/page.php?id=81647 David...
8768 David Broadhurst
djbroadhurst Send Email
Aug 16, 2007
8:49 pm
... That sounds like less than a week's work, for Sean Irvine. Best advice to Norman: share your finds with Sean! David...
8769 Shane
divineprime Send Email
Aug 20, 2007
9:53 am
A new version of RMA is now available by setup. Home page http://groups.myspace.com/My15k Download Version 1.2 ...
8770 David Broadhurst
djbroadhurst Send Email
Aug 20, 2007
11:36 am
Let m = 67440294559676054016000 a = (y-22^2)*(y-61^2)*(y-86^2)*(y-127^2)*(y-140^2)*(y-151^2)/(6*m) b =...
8771 Jens Kruse Andersen
jkand71 Send Email
Aug 20, 2007
9:26 pm
... Congratulations! http://hjem.get2net.dk/jka/math/consecutive_factorizations.htm is updated. The algebraic cofactors have been upgraded from "relatively...
8772 David Broadhurst
djbroadhurst Send Email
Aug 21, 2007
4:22 pm
... updated. I liked the peculiarity that 3/4 of the 1400-digit primes were provable by BLS. Thay was not my intent; it just happened that way: the...
8773 David Broadhurst
djbroadhurst Send Email
Aug 27, 2007
10:20 am
Let m=67440294559676054016000 y=(m*(10^96+10624986)+22)^2 N=(y-11^4)*(y-35^2)*(y-47^2)*(y-94^2)*(y-146^2)*(y-148^2)/m-4 then N+k is factorized for k in [0,6]. ...
8774 David Broadhurst
djbroadhurst Send Email
Aug 27, 2007
4:16 pm
Congrats to Jens for http://primes.utm.edu/primes/page.php?id=82059 David PS: Chris will need to add Jens's comments to complete the recording of the AP3....
8775 Jens Kruse Andersen
jkand71 Send Email
Aug 27, 2007
5:28 pm
... Thanks. I had some time between other projects and got a lucky hit at 11% of the expectation. I don't know whether there is a submitter procedure for AP3...
8776 Chris Caldwell
primemogul Send Email
Aug 27, 2007
8:21 pm
... Congratulations! I've added the necessary comments on the other primes. (And you are right--manual intervention was required, but well worth it for a new...
8777 David Broadhurst
djbroadhurst Send Email
Aug 27, 2007
11:04 pm
... Yes, an agreeable swap! I was somewhat lucky: I had 12 chances of extending (or filling) 1400-digit constellations of 6 factorizations to get k=7. Running...
8778 David Broadhurst
djbroadhurst Send Email
Aug 28, 2007
11:02 pm
... I see that p15 was enough: http://hjem.get2net.dk/jka/math/consecutive_factorizations.htm ... Congrats to Norman and Christophe. David...
8779 Jens Kruse Andersen
jkand71 Send Email
Aug 29, 2007
10:46 pm
... Yes, congratulations. They found two cases with p12 and p13 as penultimate factors. There is no plan to prove prp6203. After 3 weeks with the page, my 4...
8780 David Broadhurst
djbroadhurst Send Email
Aug 30, 2007
12:11 am
... I fixed it, at last. So now I guess that I am morally obliged to squeeze at least 25% extra digits. I'll try k=6 first, since there I have found a pair of ...
8781 David Broadhurst
djbroadhurst Send Email
Aug 30, 2007
12:33 am
... That's easy to explain: your idea for a record page was so clearly and cleanly executed that anyone who had anything up their sleeve was almost bound to...
8782 David Broadhurst
djbroadhurst Send Email
Aug 30, 2007
12:46 am
... Well, it may be that k=3 is also under threat: http://www.primegrid.com/all_news.php#11 ... But maybe that message is about a Woodall/Cullen find? David...
8783 jarek372000 Send Email Aug 31, 2007
1:27 pm
Breaking news: Raanan Chermoni discovered 2nd AP24: 1564588127269043 + 1249750*23#*n, for n = 0 to 23. Congratulations for this impressive discovery !!! ...
8784 N.L.
nluhn Send Email
Sep 1, 2007
5:39 pm
Hello group ! The new URL is http://anthony.d.forbes.googlepages.com/ktuplets.htm regards Norman Wissenswertes für Bastler und Hobby Handwerker. BE A BETTER...
8785 David Broadhurst
djbroadhurst Send Email
Sep 2, 2007
7:04 pm
Let x=(1320*(10^22+1932187))^3 y=(x*(5*x+9)/2-31)^2 N=(y-23^2)*(y-24^2)/55440-6 then N+k is factorized for k in [0,7]. Proof: ...
Messages 8756 - 8785 of 11375   Oldest  |  < Older  |  Newer >  |  Newest
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