The multi-polynomial part of the multi-polynomial quadratic sieve. Hello Prime number friends. I've worked out this part of the multiple polynomial quadratic...
Sat Jan 3, 2009 10:43 pm I went to solve the same puzzle as he when the realization of magic cubes occurred. I was drawing it out at Waylon's Tavern spare time...
It is noted that a squaring is not the same as a squire. Some say a squire is the attendant to the knight. And is known by the knight the pattern of its...
I do not know too much English, but with a translator program I am writing this post. I want to ask a question. I have also re-definition of prime numbers....
Hi All, Since the demise of Geocities the multifactorial search has been homeless. Now thanks to the kindness of the people at Free-DC (Special thanks to Phil...
I was looking for a yahoo group on mathematics that might solve some of my mathematical suppositions. I dont know how strict the moderator is as some of my...
Hi group, 138^196873-137^196873 is PRP for bases 2, 3, 5, 7, 11, 13, 17, 19, 31, 71 and 101. This number has 421285 digits. Moreover, 138^p-137^p is composite...
I have established the following result:- For each of the 6 currently remaining candidates for the smallest Sierpinski number, no covering set of primes, with...
I happened to look at http://primes.utm.edu/bios/top20.php?type=person&by=PrimesRank and was struck by the fact that Bouk de Water, without needing to prove...
There are lots of these. but here is another nice one by M. Chaves: Theorem. A necessary and sufficient condition for the integers n>7 and n+2 to be twin...
I thank David Broadhurst for indirectly reminding me that not all Pythagorean Triples are primitive. I thank Mike Oakes for indirectly reminding me that in...
Here is a small puzzle:- Find fixed integers a, b, x, y such that the expression a*x^n+b*y^n is prime for all n in the range 1 <= n <= n_max, where n_max is to...
Primes in algebraic number systems: Consider the extension to the integers, {A + B * sqrt(d) }, where A, B are variable integers, and d is a fixed integer. (a1...
I've define a set of prime numbers. hypothesis and the Goldbach's conjecture of Riemann that I think would work. a certain number of N, so that, the sum of...
Perhaps someone would enjoy applying some Gaussian concepts to this basic stuff!: Previously, in September, '08 it was conjectured that: x, A(x), B(x), k,...
http://chitatel2000.blogspot.com/ Update The Number Theory "Number of primes in intervals" "A million dollar problem" [Non-text portions of this message have...
... (Forwarded) The 'numbertheory' Yahoo group was very well-maintained, had a membership of 1200 and the discussion was of a high level of sophistication. ...
Congratulations to Henry Lifchitz for finding a record Fibonacci PrP http://www.primenumbers.net/prptop/detailprp.php?rank=5 Lélio [Non-text portions of this...
1a. Re: Composite integer function Posted by: "Yann Guidon" whygee@... yasep16 Date: Wed Nov 18, 2009 9:02 am ((PST)) Hello Kermit, it seems that my...
Given any prime expressed as a+b, is there always some a,b such that 2^a*3^b is one away from a prime? I doubt it but have yet to find a counterexample. Below...
You might be interested in the following two variable function. Define F(m,k) recursively as follows. F(1,1) = 15 F(m+1,k) = F(m,k) + 4*(2*m + k + 2) F(m,k+1)...
David, you are absolutely correct, i misstated that conjecture. the conjecture asks whether o_p(2) = p-1 for infinitely many primes. this would correspond to ...
Greetings all, let o_p(2) = order of 2 in F_p. in other words, o_p(2) = card{ 2^0 (mod p), 2^1 (mod p), ... , 2^p (mod p) } we know that it is an open...
Here are new AP16 & AP17 records at 42 digits:- (263013824+18107251*n)*83#+1 is prime for n=0..16 All confirmed prime with PFGW -tc Input/output statistics:- ...