Periodically, I am moved to contribute off-topic numbers. Today, I should like to comment on these numerical data: ...
15514
Sudarshan Iyengar
sudarshansr
Nov 1, 2004 3:10 pm
Hi, I have been wondering how exactly pari(http://pari.math.u- bordeaux.fr/) factors big integers(which are of 60 digit or more in length). I do know...
15515
jbrennen
Nov 1, 2004 3:35 pm
... For PARI/GP, you can expose a lot of the internal factorization process very easily. Turn on debug level 5, with the command "\g 5" and then try to factor...
15516
Robin Garcia
sopadeajo2001
Nov 1, 2004 7:37 pm
Thanks to Jens for showing that t <=4 for n=m+10*t+ 0 / 2 (t=0,1,2,3,4) such that n^2+1 is prime for all t. And to Mike for finding tha smallest n^2+1 prime...
15517
harvey563@...
harvey563
Nov 2, 2004 3:47 pm
Has anyone had any success logging into http://www.mycgiserver.com/~primesearch/ lately??? I've been unable to do so for about 2 weeks, and would like to...
15518
Robin Garcia
sopadeajo2001
Nov 2, 2004 6:05 pm
Mike,you are right. I had very few time and miscalculated. g(10)=30 because we always can find the g(12)=38 ---------->66,.....,104 (nod 170) incuding the...
15519
Cletus Emmanuel
cemmanu
Nov 3, 2004 6:06 pm
Here is yet another new Carol Prime....... (2^185580-1)^2-2. This number has a 111731 digits. ... Do you Yahoo!? Check out the new Yahoo! Front Page....
15520
Paul Underwood
paulunderwooduk
Nov 3, 2004 8:27 pm
... number has a 111731 digits. Congratulations Cletus. For all odd n<52,814,000,003, no composite 2-PrP n^2-2 was found. There were 2,066,269,425 PrPs. These...
15521
qwewqedasfdsdaf
Nov 4, 2004 11:03 am
... number has a 111731 digits. ... Congrats to this find of this big Carol number, hope more are to follow as soon as possible....
15522
Cletus Emmanuel
cemmanu
Nov 4, 2004 2:35 pm
Guys, Which one of you are presently searching for Carol/Kynea Primes and what is the status of your search? Are there anyone else interested in searching...
15523
Suresh Batta
subasoft
Nov 5, 2004 4:28 pm
This is another attempt to prove Twin Prime Conjecture. I am sure there might be flaws, please be gentle :-) ... There are infinitely many twin primes. ... ...
15524
Décio Luiz Gazzoni...
deciogazzoni
Nov 5, 2004 4:59 pm
... Forget about using density arguments for your `proof'. The bounds on prime density, even assuming the Riemann Hypothesis, are much too loose for this. ...
15525
Décio Luiz Gazzoni...
deciogazzoni
Nov 5, 2004 6:16 pm
... No, I mean that you can't use the PNT to count primes in an interval in an exact fashion; there'll always be an error bound. According to the book by ...
15526
Décio Luiz Gazzoni...
deciogazzoni
Nov 6, 2004 1:19 am
Also, here's another argument regarding your method of proof, which I'll recall involves showing that if p, p + 2 is a twin prime pair, then there exists...
15527
Suresh Batta
subasoft
Nov 6, 2004 3:17 am
OK. If the range isn't tight, why not consider the bounds p^2 and p*(p+2)? The range would be just 2p. Then, the difference would be.. p^2 + 2p / log (p)*(p+2)...
15528
Décio Luiz Gazzoni...
deciogazzoni
Nov 6, 2004 4:53 am
... This is a gain of a constant factor. I believe you need asymptotically tighter bounds to achieve a proof. That is, instead of p times a constant, you would...
15529
Jens Kruse Andersen
jkand71
Nov 6, 2004 12:41 pm
... Definitely no. The only "comparable prime quantities" are about the _expected_ number of primes based on unproven heuristics. Even if this expectation...
15530
trex400
Nov 7, 2004 1:47 pm
... (improving your own ... http://hjem.get2net.dk/jka/math/simultprime.htm#records ... Congrulations from me, too. I have updated the CC record list in the...
15531
Jens Kruse Andersen
jkand71
Nov 7, 2004 4:09 pm
... Done: http://hjem.get2net.dk/jka/math/Cunningham_Chain_records.htm ... Indeed. Congratulations on your big CC6: 33692909611*977#*2^n-1, n=0..5 This is not...
15532
LALGUDI BALASUNDARAM
lalgudibalas...
Nov 7, 2004 7:03 pm
Hi, While I am amazed at the impressive progress made with twin primes, I cannot help feeling some of the basic prime questions for e.g. as to why twin primes...
15533
basudeo_agarwal
Nov 8, 2004 5:41 am
Hi Dear Friends, Let me introduce myself to this beautiful group. I started new group:- Welcome to new group:- http://groups.yahoo.com/group/fun_with_numbers ...
15534
pminovic
Nov 8, 2004 5:06 pm
I'm happy to announce the finding of the new largest generalized Woodall prime: 401208*3^401208-1 is prime! 191431 digits. On the Top-5000 list it appears as...
15535
pminovic
Nov 8, 2004 5:17 pm
Of course it's Thomas Wolter, not George, who owned the old generalized Woodall record. Thomas, please forgive me for such an error. Predrag Minovic...
15536
Mark Rodenkirch
mgrogue
Nov 8, 2004 6:00 pm
... Congrats. I only wish base 2 would be so fruitful......
15537
William Bouris
melangebillyb
Nov 9, 2004 1:44 pm
Hello, Group. Is it safe to say that two twin-prime pairs will occur between n squared and (n+2 squared plus the natural log of n+2)... or n^2 < p1,p2,q1,q2...
15538
Décio Luiz Gazzoni...
deciogazzoni
Nov 9, 2004 2:41 pm
... I believe it's likely. See my post with an heuristic for the number of twin prime pairs between n^2 and (n+2)^2: this heuristic indicates a growing number...
15539
Ben Bradley
ben_nospam_b...
Nov 11, 2004 5:02 am
Some may find this article and discussion interesting, I've already made a few contributions to it: ...
15540
primenumbers@yahoogro...
Nov 13, 2004 1:05 am
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the primenumbers group. File :...
15541
primenumbers@yahoogro...
Nov 13, 2004 1:07 am
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the primenumbers group. File :...
15542
primenumbers@yahoogro...
Nov 13, 2004 1:09 am
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the primenumbers group. File :...
