Hello Marcel! I see no reason why not to add this 9658-digit prime to your Top-20 page: http://www.znz.freesurf.fr/pages/primotop20.html Certificate is...
I have worked on Riemann's Hypothesis on and off for years. My interest lies in its application to encryption. Of course, monetary rewards await the...
(I forgot an important fact) ... and s = 1/2 + it is a zero of the zeta function as extended by Riemann or anyone else for that matter into the complex plane,...
According to Dickson, HotToN, Euler proved Fermat divisors are k.2^(n+1)+1, and it was only Lucas that pushed the exponent up to n+2. Other sources state that...
Dear members, I am sending an attachment with this mail, which contains a beautiful article (A research paper) written by my Professor, Dr. E. Sampath Kumar. ...
I was researching the Riemann Hypothesis, and I developed this theory. ... zeta(2)=pi^2/6 And zeta(2) is can also be written as the prime-based product: ...
Hi all ! 233 is the only prime p of form 60k-7 (up to 100000) where 2^p-3 is prime. Norman __________________________________________________________________ ...
While the page in question is still offline (perhaps a world record for the longest time offline by a Computer Society originated web page - I have this page...
Let p=k.2^n+1 Do you sieve p and (S)PRP/prove what remains, and then test to see if 2^(2^m)==-1 (mod p) for some m? If so, exactly what (S)PRP/proof is used...
Hello, If a prime q divides N=2^p+3 then : 2^p = -3 (mod q) so (2^p/q) = (-3/q) where (a/b) is the Legendre symbol it implies that (2/q) = (3/q).(-1/q) because...
I have 'issues' with something in Crandall & Pomerance, their algorithm and their claimed big-Oh don't match (they are 'optimistic', heheh). However, they...
We hear a lot about n^2+1 containing a infinite number of primes. A similar function may well be: floor(n^(3/2))+/-k (and obviously 3/2 is a variable too) Does...
...what/which primes we find/prove, since there are so many of them. The only thing that matters is WHY and HOW the primes came upon us. Contemplate. So I'll...
Of course, when it rains, it pours: 10^75+5473 = P38 * P38 P38 = 11171602016259629892335959089815716691 P38 = 89512676744531089226201976823759569403 10^75+5659...
I meant sum over the primes. The page in question uses a double-sided implies symbol, i.e. implies and is implied by. Going from left to right is no problem...
Dear Phil, Mr. Martin has given an excellent proof for it. it is simply excellent. Sudarshan Iyengar *************************************************** ...
Hello all, I have a question on an equation. Given the equation: x^2 + k - y^2 = n where we know all of x, y, k, and n. Is there a way to factor n from all...
Hello folks, my name is Andrew. I'm writing to introduce myself to the list and to get some feedback on an idea I have about prime number distribution. First...
Excellent Martin, That was simply fantastic. Excellent proof, did you build the proof all on your own, or did you refer to some literature. Whatever it is, the...
Hello there, We all are familiar with the wilson's theorem which states that (1)(2)(3)...(p-1) = -1 (modp), where p is a prime number. But what can you say...
... Consider a primitive root, all of its powers, and the product of all of its powers. This would prove the hypothesis for 2, 4, p^n and 2.p^n. I'd hope...
Dear my groupmates I found my answer after that I requist you ,there for I thank you all .I found this in Euler law: fi(m) ... N for my case I let m=10 Omid...
i am wondering if there's a formula for generating the nth prime however ineffecient it might be.i strongly doubt its existence but can anyone throw some light...
I'm in a silly mood tonight - must be something to do with the quality of posts these last few days. So I will add to the hogwash. Excuse if you all know this...
Note, the result must be 14 or 194 ! In few seconds i found primes of form 2^n+3 with n=7,12,15,16,18,28,30,55,67,84,228,390,784,1110, 1704 best wishes Norman ...
