... This is always possible for any n and any order of the primes. The problem is just solving a set of modular equations. Your example, with x for the first...
I wrote ... For some reason I had not seen Jens's post, which is (a) neater and (b) proves the general case. So I am erasing my post - sorry for wasting your...
Congratulations to Dave Linton! 659*2^800516-1 is prime. http://primes.utm.edu/primes/page.php?id=69058 It was more than 1 year which he had not submitted any...
Congratulations indeed.Beyond the size of this prime,it is also a Riesel prime! one more down:) Pavlos ... __________________________________ Do you Yahoo!? ...
I've noticed, that there are sometimes troubles with GMP-ECM running a p-1 check with bounds that are bigger than 4e9. I ran a p-1 test with B1=1e10 on 2^933+1...
Thanks for your reply, I've read about the Chinese Remainder Theorem but I've struggled with understanding its implications. I'm also interested in functions...
In a message dated 05/03/04 09:26:14 GMT Standard Time, ... Yes. Nowhere is the positivity of a or b used in the proof (so the Theorem should not have required...
... But of course! Thanks. I also noticed that if p is not prime then the prime factors of p divide q-1. This applies to even numbers also. Does the even case...
Is there a name for and/or have primes of the form (a-1)*(a^(p*q)-1)/(a^p-1)/(a^q-1) been studied? Here p and q are primes and a is any positive integer. Many...
Apparently many interesting prime forms have been overlooked, perhaps because there are infinitely many such forms. The past few days I've been looking at...
Just to settle an argument that is developing in a newsgroup somewhere, could anyone tell me if there is possibly any difference between the terms "co-prime"...
Ben Newsam
primes@...
Mar 7, 2004 1:00 am
14641
... I've never heard of a difference. There is also "a is prime to b" and "a and b are prime to each other", which mean the same thing....
What do you think, does there exist a base b such that n*b^n-1 or n*b^n+1 never is prime? I have no answer to that question, but maybe it is easy for some of ...
Dear geeks , Are there any primes P of any form such that 2*K*P + 1 is never prime for any positive value of K. Or to be specific does there exist any single...
Dear geeks , Are there any primes P of any form such that 2*K*P + 1 is never prime for any positive value of K. Or to be specific does there exist any single...
... No base b has a finite covering set of factors. If M is a finite set then let A be the product of the members. If n=k*A for any k, then n*b^n+/-1 clearly...
Dear idiot, 2KP+1 is an arithmetic progression whose elements have no common factor, and so will always contain infinitely many primes, whatever P is. Andy PS...
Thomas, Large bases are less likely to produce primes, because of the rate the series grows by, but it is impossible to say there is no prime in the series or...
Indeed,the non-existence of a finite covering set does not prove infinite number of primes.Some time ago i had constructed a "possible"-infinite covering set...
Hello, I have put a link to Dario Alpern's Factorisation applet and Xiao Gang's factorisation program Factoris on the F.I.D.N website at http://www.fidn.org/...
Hello, I post details of a new study on psychonumerics. This is recommended reading for persons who work daily with large numbers and will be of interest to a...
Paul, Thank you for the paper on "psychonumerics"! It's very funny, indeed! It's good to be able to laugh at ourselves sometimes. Tom ... From: paulmillscv...
Dear Tom, Hello. I am glad you like it. Remember, do not venture into the unknown, unless you know. regards Paul Mills ... indeed! It's good to be able to...
Hi all i would like to ask if any body has a way to generate a sequence of numbers that containes all prime, faster than generating all odd number thank you in...
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