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...
... 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...
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...
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...
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...
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....
... 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...
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...
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. ... ...
... Forget about using density arguments for your `proof'. The bounds on prime density, even assuming the Riemann Hypothesis, are much too loose for this. ...
... 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 ...
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...
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)...
... 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...
... Definitely no. The only "comparable prime quantities" are about the _expected_ number of primes based on unproven heuristics. Even if this expectation...
... (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...
... 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...
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...
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 ...
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...
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...
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...
... 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...
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 :...
primenumbers@yahoogro...
Nov 13, 2004 1:05 am
15541
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 :...
primenumbers@yahoogro...
Nov 13, 2004 1:07 am
15542
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 :...
primenumbers@yahoogro...
Nov 13, 2004 1:09 am
15543
First I give an equivalent definition of a Cunningham chain: - A Cunningham chain of the first kind (second kind) is a sequence of integers of the form k*2^n-1...
