Hi everyone, To increase the probability of finding prime numbers I find the strategy of using four different terms for the same integer constant very useful....
To the best of my knowledge, I think that I have created a new prime number conjecture that will be proven someday. It is similiar to the Old Goldbach...
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...
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...
